num_jobs
int64 2
20
| num_machines
int64 2
20
| prompt_jobs_first
stringlengths 516
19.9k
| prompt_machines_first
stringlengths 496
17.2k
| output
stringlengths 267
22.1k
|
|---|---|---|---|---|
10 | 6 | Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 10 mins.
Operation 1 on Machine 4 duration 17 mins.
Operation 2 on Machine 1 duration 18 mins.
Operation 3 on Machine 0 duration 20 mins.
Operation 4 on Machine 5 duration 23 mins.
Operation 5 on Machine 3 duration 7 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 24 mins.
Operation 1 on Machine 4 duration 13 mins.
Operation 2 on Machine 0 duration 40 mins.
Operation 3 on Machine 3 duration 14 mins.
Operation 4 on Machine 1 duration 37 mins.
Operation 5 on Machine 2 duration 10 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 36 mins.
Operation 1 on Machine 5 duration 14 mins.
Operation 2 on Machine 2 duration 1 mins.
Operation 3 on Machine 3 duration 3 mins.
Operation 4 on Machine 0 duration 25 mins.
Operation 5 on Machine 4 duration 15 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 15 mins.
Operation 1 on Machine 5 duration 28 mins.
Operation 2 on Machine 0 duration 40 mins.
Operation 3 on Machine 3 duration 4 mins.
Operation 4 on Machine 4 duration 33 mins.
Operation 5 on Machine 2 duration 39 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 1 mins.
Operation 1 on Machine 1 duration 33 mins.
Operation 2 on Machine 2 duration 7 mins.
Operation 3 on Machine 4 duration 35 mins.
Operation 4 on Machine 5 duration 22 mins.
Operation 5 on Machine 3 duration 6 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 39 mins.
Operation 1 on Machine 5 duration 1 mins.
Operation 2 on Machine 4 duration 37 mins.
Operation 3 on Machine 3 duration 40 mins.
Operation 4 on Machine 0 duration 13 mins.
Operation 5 on Machine 2 duration 6 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 25 mins.
Operation 1 on Machine 5 duration 40 mins.
Operation 2 on Machine 0 duration 17 mins.
Operation 3 on Machine 2 duration 34 mins.
Operation 4 on Machine 3 duration 10 mins.
Operation 5 on Machine 4 duration 1 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 12 mins.
Operation 1 on Machine 4 duration 2 mins.
Operation 2 on Machine 3 duration 35 mins.
Operation 3 on Machine 0 duration 16 mins.
Operation 4 on Machine 1 duration 23 mins.
Operation 5 on Machine 2 duration 34 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 23 mins.
Operation 1 on Machine 1 duration 17 mins.
Operation 2 on Machine 2 duration 8 mins.
Operation 3 on Machine 0 duration 16 mins.
Operation 4 on Machine 3 duration 11 mins.
Operation 5 on Machine 4 duration 10 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 31 mins.
Operation 1 on Machine 0 duration 20 mins.
Operation 2 on Machine 2 duration 1 mins.
Operation 3 on Machine 3 duration 4 mins.
Operation 4 on Machine 4 duration 10 mins.
Operation 5 on Machine 5 duration 31 mins.
| Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 1 mins.
Job 9 Operation 1 duration 20 mins.
Job 1 Operation 2 duration 40 mins.
Job 3 Operation 2 duration 40 mins.
Job 6 Operation 2 duration 17 mins.
Job 0 Operation 3 duration 20 mins.
Job 7 Operation 3 duration 16 mins.
Job 8 Operation 3 duration 16 mins.
Job 2 Operation 4 duration 25 mins.
Job 5 Operation 4 duration 13 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 36 mins.
Job 3 Operation 0 duration 15 mins.
Job 5 Operation 0 duration 39 mins.
Job 6 Operation 0 duration 25 mins.
Job 9 Operation 0 duration 31 mins.
Job 4 Operation 1 duration 33 mins.
Job 8 Operation 1 duration 17 mins.
Job 0 Operation 2 duration 18 mins.
Job 1 Operation 4 duration 37 mins.
Job 7 Operation 4 duration 23 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 10 mins.
Job 2 Operation 2 duration 1 mins.
Job 4 Operation 2 duration 7 mins.
Job 8 Operation 2 duration 8 mins.
Job 9 Operation 2 duration 1 mins.
Job 6 Operation 3 duration 34 mins.
Job 1 Operation 5 duration 10 mins.
Job 3 Operation 5 duration 39 mins.
Job 5 Operation 5 duration 6 mins.
Job 7 Operation 5 duration 34 mins.
Machine 3 is used for the following Operations:
Job 7 Operation 2 duration 35 mins.
Job 1 Operation 3 duration 14 mins.
Job 2 Operation 3 duration 3 mins.
Job 3 Operation 3 duration 4 mins.
Job 5 Operation 3 duration 40 mins.
Job 9 Operation 3 duration 4 mins.
Job 6 Operation 4 duration 10 mins.
Job 8 Operation 4 duration 11 mins.
Job 0 Operation 5 duration 7 mins.
Job 4 Operation 5 duration 6 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 17 mins.
Job 1 Operation 1 duration 13 mins.
Job 7 Operation 1 duration 2 mins.
Job 5 Operation 2 duration 37 mins.
Job 4 Operation 3 duration 35 mins.
Job 3 Operation 4 duration 33 mins.
Job 9 Operation 4 duration 10 mins.
Job 2 Operation 5 duration 15 mins.
Job 6 Operation 5 duration 1 mins.
Job 8 Operation 5 duration 10 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 24 mins.
Job 7 Operation 0 duration 12 mins.
Job 8 Operation 0 duration 23 mins.
Job 2 Operation 1 duration 14 mins.
Job 3 Operation 1 duration 28 mins.
Job 5 Operation 1 duration 1 mins.
Job 6 Operation 1 duration 40 mins.
Job 0 Operation 4 duration 23 mins.
Job 4 Operation 4 duration 22 mins.
Job 9 Operation 5 duration 31 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 1 -> 1
Job 6 Operation 0 on Machine 1 : 0 + 25 -> 25
Job 0 Operation 0 on Machine 2 : 0 + 10 -> 10
Job 1 Operation 0 on Machine 5 : 0 + 24 -> 24
Job 0 Operation 1 on Machine 4 : 10 + 17 -> 27
Job 5 Operation 0 on Machine 1 : 25 + 39 -> 64
Job 6 Operation 1 on Machine 5 : 25 + 40 -> 65
Job 1 Operation 1 on Machine 4 : 27 + 13 -> 40
Job 1 Operation 2 on Machine 0 : 40 + 40 -> 80
Job 3 Operation 0 on Machine 1 : 64 + 15 -> 79
Job 5 Operation 1 on Machine 5 : 65 + 1 -> 66
Job 5 Operation 2 on Machine 4 : 66 + 37 -> 103
Job 7 Operation 0 on Machine 5 : 66 + 12 -> 78
Job 9 Operation 0 on Machine 1 : 79 + 31 -> 110
Job 3 Operation 1 on Machine 5 : 79 + 28 -> 107
Job 6 Operation 2 on Machine 0 : 80 + 17 -> 97
Job 6 Operation 3 on Machine 2 : 97 + 34 -> 131
Job 5 Operation 3 on Machine 3 : 103 + 40 -> 143
Job 7 Operation 1 on Machine 4 : 103 + 2 -> 105
Job 3 Operation 2 on Machine 0 : 107 + 40 -> 147
Job 8 Operation 0 on Machine 5 : 107 + 23 -> 130
Job 2 Operation 0 on Machine 1 : 110 + 36 -> 146
Job 4 Operation 1 on Machine 1 : 146 + 33 -> 179
Job 2 Operation 1 on Machine 5 : 146 + 14 -> 160
Job 5 Operation 4 on Machine 0 : 147 + 13 -> 160
Job 3 Operation 3 on Machine 3 : 147 + 4 -> 151
Job 7 Operation 2 on Machine 3 : 151 + 35 -> 186
Job 3 Operation 4 on Machine 4 : 151 + 33 -> 184
Job 9 Operation 1 on Machine 0 : 160 + 20 -> 180
Job 5 Operation 5 on Machine 2 : 160 + 6 -> 166
Job 0 Operation 2 on Machine 1 : 179 + 18 -> 197
Job 9 Operation 2 on Machine 2 : 180 + 1 -> 181
Job 4 Operation 2 on Machine 2 : 181 + 7 -> 188
Job 7 Operation 3 on Machine 0 : 186 + 16 -> 202
Job 9 Operation 3 on Machine 3 : 186 + 4 -> 190
Job 2 Operation 2 on Machine 2 : 188 + 1 -> 189
Job 3 Operation 5 on Machine 2 : 189 + 39 -> 228
Job 6 Operation 4 on Machine 3 : 190 + 10 -> 200
Job 9 Operation 4 on Machine 4 : 190 + 10 -> 200
Job 8 Operation 1 on Machine 1 : 197 + 17 -> 214
Job 2 Operation 3 on Machine 3 : 200 + 3 -> 203
Job 4 Operation 3 on Machine 4 : 200 + 35 -> 235
Job 9 Operation 5 on Machine 5 : 200 + 31 -> 231
Job 0 Operation 3 on Machine 0 : 202 + 20 -> 222
Job 1 Operation 3 on Machine 3 : 203 + 14 -> 217
Job 7 Operation 4 on Machine 1 : 214 + 23 -> 237
Job 2 Operation 4 on Machine 0 : 222 + 25 -> 247
Job 8 Operation 2 on Machine 2 : 228 + 8 -> 236
Job 0 Operation 4 on Machine 5 : 231 + 23 -> 254
Job 6 Operation 5 on Machine 4 : 235 + 1 -> 236
Job 1 Operation 4 on Machine 1 : 237 + 37 -> 274
Job 7 Operation 5 on Machine 2 : 237 + 34 -> 271
Job 8 Operation 3 on Machine 0 : 247 + 16 -> 263
Job 2 Operation 5 on Machine 4 : 247 + 15 -> 262
Job 0 Operation 5 on Machine 3 : 254 + 7 -> 261
Job 4 Operation 4 on Machine 5 : 254 + 22 -> 276
Job 8 Operation 4 on Machine 3 : 263 + 11 -> 274
Job 1 Operation 5 on Machine 2 : 274 + 10 -> 284
Job 8 Operation 5 on Machine 4 : 274 + 10 -> 284
Job 4 Operation 5 on Machine 3 : 276 + 6 -> 282
Makespan: 284.0, as it is the maximum end completion time of Operation 5 |
6 | 4 | Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 122 mins.
Operation 1 on Machine 1 duration 59 mins.
Operation 2 on Machine 3 duration 112 mins.
Operation 3 on Machine 2 duration 22 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 110 mins.
Operation 1 on Machine 3 duration 56 mins.
Operation 2 on Machine 2 duration 63 mins.
Operation 3 on Machine 0 duration 3 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 130 mins.
Operation 1 on Machine 2 duration 105 mins.
Operation 2 on Machine 0 duration 32 mins.
Operation 3 on Machine 1 duration 68 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 87 mins.
Operation 1 on Machine 0 duration 28 mins.
Operation 2 on Machine 1 duration 115 mins.
Operation 3 on Machine 3 duration 131 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 149 mins.
Operation 1 on Machine 3 duration 129 mins.
Operation 2 on Machine 1 duration 119 mins.
Operation 3 on Machine 0 duration 15 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 32 mins.
Operation 1 on Machine 0 duration 142 mins.
Operation 2 on Machine 2 duration 101 mins.
Operation 3 on Machine 3 duration 15 mins.
| Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 122 mins.
Job 3 Operation 1 duration 28 mins.
Job 5 Operation 1 duration 142 mins.
Job 2 Operation 2 duration 32 mins.
Job 1 Operation 3 duration 3 mins.
Job 4 Operation 3 duration 15 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 110 mins.
Job 5 Operation 0 duration 32 mins.
Job 0 Operation 1 duration 59 mins.
Job 3 Operation 2 duration 115 mins.
Job 4 Operation 2 duration 119 mins.
Job 2 Operation 3 duration 68 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 87 mins.
Job 4 Operation 0 duration 149 mins.
Job 2 Operation 1 duration 105 mins.
Job 1 Operation 2 duration 63 mins.
Job 5 Operation 2 duration 101 mins.
Job 0 Operation 3 duration 22 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 130 mins.
Job 1 Operation 1 duration 56 mins.
Job 4 Operation 1 duration 129 mins.
Job 0 Operation 2 duration 112 mins.
Job 3 Operation 3 duration 131 mins.
Job 5 Operation 3 duration 15 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 122 -> 122
Job 1 Operation 0 on Machine 1 : 0 + 110 -> 110
Job 4 Operation 0 on Machine 2 : 0 + 149 -> 149
Job 2 Operation 0 on Machine 3 : 0 + 130 -> 130
Job 0 Operation 1 on Machine 1 : 122 + 59 -> 181
Job 1 Operation 1 on Machine 3 : 130 + 56 -> 186
Job 3 Operation 0 on Machine 2 : 149 + 87 -> 236
Job 5 Operation 0 on Machine 1 : 181 + 32 -> 213
Job 4 Operation 1 on Machine 3 : 186 + 129 -> 315
Job 3 Operation 1 on Machine 0 : 236 + 28 -> 264
Job 1 Operation 2 on Machine 2 : 236 + 63 -> 299
Job 3 Operation 2 on Machine 1 : 264 + 115 -> 379
Job 1 Operation 3 on Machine 0 : 299 + 3 -> 302
Job 2 Operation 1 on Machine 2 : 299 + 105 -> 404
Job 5 Operation 1 on Machine 0 : 302 + 142 -> 444
Job 0 Operation 2 on Machine 3 : 315 + 112 -> 427
Job 4 Operation 2 on Machine 1 : 379 + 119 -> 498
Job 0 Operation 3 on Machine 2 : 427 + 22 -> 449
Job 3 Operation 3 on Machine 3 : 427 + 131 -> 558
Job 2 Operation 2 on Machine 0 : 444 + 32 -> 476
Job 5 Operation 2 on Machine 2 : 449 + 101 -> 550
Job 4 Operation 3 on Machine 0 : 498 + 15 -> 513
Job 2 Operation 3 on Machine 1 : 498 + 68 -> 566
Job 5 Operation 3 on Machine 3 : 558 + 15 -> 573
Makespan: 573.0, as it is the maximum end completion time of Operation 3 |
8 | 5 | Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 148 mins.
Operation 1 on Machine 0 duration 394 mins.
Operation 2 on Machine 3 duration 213 mins.
Operation 3 on Machine 2 duration 329 mins.
Operation 4 on Machine 1 duration 45 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 339 mins.
Operation 1 on Machine 1 duration 219 mins.
Operation 2 on Machine 4 duration 343 mins.
Operation 3 on Machine 2 duration 122 mins.
Operation 4 on Machine 3 duration 305 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 144 mins.
Operation 1 on Machine 1 duration 446 mins.
Operation 2 on Machine 3 duration 166 mins.
Operation 3 on Machine 0 duration 2 mins.
Operation 4 on Machine 2 duration 29 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 424 mins.
Operation 1 on Machine 4 duration 231 mins.
Operation 2 on Machine 1 duration 363 mins.
Operation 3 on Machine 2 duration 41 mins.
Operation 4 on Machine 3 duration 351 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 28 mins.
Operation 1 on Machine 3 duration 304 mins.
Operation 2 on Machine 1 duration 80 mins.
Operation 3 on Machine 4 duration 239 mins.
Operation 4 on Machine 0 duration 60 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 434 mins.
Operation 1 on Machine 4 duration 20 mins.
Operation 2 on Machine 3 duration 33 mins.
Operation 3 on Machine 2 duration 345 mins.
Operation 4 on Machine 1 duration 319 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 92 mins.
Operation 1 on Machine 0 duration 472 mins.
Operation 2 on Machine 2 duration 375 mins.
Operation 3 on Machine 3 duration 224 mins.
Operation 4 on Machine 4 duration 470 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 310 mins.
Operation 1 on Machine 3 duration 368 mins.
Operation 2 on Machine 2 duration 75 mins.
Operation 3 on Machine 1 duration 415 mins.
Operation 4 on Machine 4 duration 192 mins.
| Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 339 mins.
Job 3 Operation 0 duration 424 mins.
Job 5 Operation 0 duration 434 mins.
Job 7 Operation 0 duration 310 mins.
Job 0 Operation 1 duration 394 mins.
Job 6 Operation 1 duration 472 mins.
Job 2 Operation 3 duration 2 mins.
Job 4 Operation 4 duration 60 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 92 mins.
Job 1 Operation 1 duration 219 mins.
Job 2 Operation 1 duration 446 mins.
Job 3 Operation 2 duration 363 mins.
Job 4 Operation 2 duration 80 mins.
Job 7 Operation 3 duration 415 mins.
Job 0 Operation 4 duration 45 mins.
Job 5 Operation 4 duration 319 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 28 mins.
Job 6 Operation 2 duration 375 mins.
Job 7 Operation 2 duration 75 mins.
Job 0 Operation 3 duration 329 mins.
Job 1 Operation 3 duration 122 mins.
Job 3 Operation 3 duration 41 mins.
Job 5 Operation 3 duration 345 mins.
Job 2 Operation 4 duration 29 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 1 duration 304 mins.
Job 7 Operation 1 duration 368 mins.
Job 0 Operation 2 duration 213 mins.
Job 2 Operation 2 duration 166 mins.
Job 5 Operation 2 duration 33 mins.
Job 6 Operation 3 duration 224 mins.
Job 1 Operation 4 duration 305 mins.
Job 3 Operation 4 duration 351 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 148 mins.
Job 2 Operation 0 duration 144 mins.
Job 3 Operation 1 duration 231 mins.
Job 5 Operation 1 duration 20 mins.
Job 1 Operation 2 duration 343 mins.
Job 4 Operation 3 duration 239 mins.
Job 6 Operation 4 duration 470 mins.
Job 7 Operation 4 duration 192 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 339 -> 339
Job 6 Operation 0 on Machine 1 : 0 + 92 -> 92
Job 4 Operation 0 on Machine 2 : 0 + 28 -> 28
Job 2 Operation 0 on Machine 4 : 0 + 144 -> 144
Job 4 Operation 1 on Machine 3 : 28 + 304 -> 332
Job 2 Operation 1 on Machine 1 : 144 + 446 -> 590
Job 0 Operation 0 on Machine 4 : 144 + 148 -> 292
Job 7 Operation 0 on Machine 0 : 339 + 310 -> 649
Job 4 Operation 2 on Machine 1 : 590 + 80 -> 670
Job 2 Operation 2 on Machine 3 : 590 + 166 -> 756
Job 6 Operation 1 on Machine 0 : 649 + 472 -> 1121
Job 1 Operation 1 on Machine 1 : 670 + 219 -> 889
Job 4 Operation 3 on Machine 4 : 670 + 239 -> 909
Job 7 Operation 1 on Machine 3 : 756 + 368 -> 1124
Job 1 Operation 2 on Machine 4 : 909 + 343 -> 1252
Job 3 Operation 0 on Machine 0 : 1121 + 424 -> 1545
Job 7 Operation 2 on Machine 2 : 1124 + 75 -> 1199
Job 7 Operation 3 on Machine 1 : 1199 + 415 -> 1614
Job 1 Operation 3 on Machine 2 : 1252 + 122 -> 1374
Job 6 Operation 2 on Machine 2 : 1374 + 375 -> 1749
Job 1 Operation 4 on Machine 3 : 1374 + 305 -> 1679
Job 5 Operation 0 on Machine 0 : 1545 + 434 -> 1979
Job 3 Operation 1 on Machine 4 : 1545 + 231 -> 1776
Job 6 Operation 3 on Machine 3 : 1749 + 224 -> 1973
Job 3 Operation 2 on Machine 1 : 1776 + 363 -> 2139
Job 0 Operation 1 on Machine 0 : 1979 + 394 -> 2373
Job 5 Operation 1 on Machine 4 : 1979 + 20 -> 1999
Job 5 Operation 2 on Machine 3 : 1999 + 33 -> 2032
Job 6 Operation 4 on Machine 4 : 1999 + 470 -> 2469
Job 5 Operation 3 on Machine 2 : 2032 + 345 -> 2377
Job 2 Operation 3 on Machine 0 : 2373 + 2 -> 2375
Job 0 Operation 2 on Machine 3 : 2373 + 213 -> 2586
Job 4 Operation 4 on Machine 0 : 2375 + 60 -> 2435
Job 5 Operation 4 on Machine 1 : 2377 + 319 -> 2696
Job 2 Operation 4 on Machine 2 : 2377 + 29 -> 2406
Job 3 Operation 3 on Machine 2 : 2406 + 41 -> 2447
Job 7 Operation 4 on Machine 4 : 2469 + 192 -> 2661
Job 0 Operation 3 on Machine 2 : 2586 + 329 -> 2915
Job 3 Operation 4 on Machine 3 : 2586 + 351 -> 2937
Job 0 Operation 4 on Machine 1 : 2915 + 45 -> 2960
Makespan: 2960.0, as it is the maximum end completion time of Operation 4 |
15 | 10 | Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 9 duration 427 mins.
Operation 1 on Machine 5 duration 52 mins.
Operation 2 on Machine 4 duration 180 mins.
Operation 3 on Machine 7 duration 280 mins.
Operation 4 on Machine 3 duration 330 mins.
Operation 5 on Machine 8 duration 56 mins.
Operation 6 on Machine 6 duration 183 mins.
Operation 7 on Machine 1 duration 39 mins.
Operation 8 on Machine 2 duration 217 mins.
Operation 9 on Machine 0 duration 168 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 168 mins.
Operation 1 on Machine 4 duration 345 mins.
Operation 2 on Machine 3 duration 392 mins.
Operation 3 on Machine 6 duration 414 mins.
Operation 4 on Machine 0 duration 451 mins.
Operation 5 on Machine 2 duration 198 mins.
Operation 6 on Machine 7 duration 61 mins.
Operation 7 on Machine 8 duration 225 mins.
Operation 8 on Machine 1 duration 301 mins.
Operation 9 on Machine 9 duration 123 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 150 mins.
Operation 1 on Machine 8 duration 238 mins.
Operation 2 on Machine 2 duration 145 mins.
Operation 3 on Machine 9 duration 190 mins.
Operation 4 on Machine 0 duration 225 mins.
Operation 5 on Machine 5 duration 176 mins.
Operation 6 on Machine 4 duration 116 mins.
Operation 7 on Machine 6 duration 141 mins.
Operation 8 on Machine 7 duration 402 mins.
Operation 9 on Machine 3 duration 296 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 8 duration 362 mins.
Operation 1 on Machine 6 duration 207 mins.
Operation 2 on Machine 2 duration 15 mins.
Operation 3 on Machine 3 duration 368 mins.
Operation 4 on Machine 9 duration 480 mins.
Operation 5 on Machine 0 duration 190 mins.
Operation 6 on Machine 5 duration 190 mins.
Operation 7 on Machine 4 duration 44 mins.
Operation 8 on Machine 7 duration 243 mins.
Operation 9 on Machine 1 duration 343 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 111 mins.
Operation 1 on Machine 8 duration 363 mins.
Operation 2 on Machine 9 duration 82 mins.
Operation 3 on Machine 0 duration 398 mins.
Operation 4 on Machine 4 duration 112 mins.
Operation 5 on Machine 5 duration 57 mins.
Operation 6 on Machine 2 duration 49 mins.
Operation 7 on Machine 1 duration 484 mins.
Operation 8 on Machine 7 duration 189 mins.
Operation 9 on Machine 6 duration 162 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 8 duration 105 mins.
Operation 1 on Machine 7 duration 165 mins.
Operation 2 on Machine 3 duration 332 mins.
Operation 3 on Machine 5 duration 216 mins.
Operation 4 on Machine 2 duration 30 mins.
Operation 5 on Machine 9 duration 284 mins.
Operation 6 on Machine 6 duration 311 mins.
Operation 7 on Machine 0 duration 15 mins.
Operation 8 on Machine 4 duration 431 mins.
Operation 9 on Machine 1 duration 453 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 8 duration 425 mins.
Operation 1 on Machine 7 duration 124 mins.
Operation 2 on Machine 3 duration 353 mins.
Operation 3 on Machine 9 duration 156 mins.
Operation 4 on Machine 5 duration 242 mins.
Operation 5 on Machine 2 duration 205 mins.
Operation 6 on Machine 6 duration 417 mins.
Operation 7 on Machine 0 duration 243 mins.
Operation 8 on Machine 4 duration 406 mins.
Operation 9 on Machine 1 duration 200 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 325 mins.
Operation 1 on Machine 1 duration 138 mins.
Operation 2 on Machine 4 duration 96 mins.
Operation 3 on Machine 9 duration 347 mins.
Operation 4 on Machine 8 duration 14 mins.
Operation 5 on Machine 0 duration 352 mins.
Operation 6 on Machine 7 duration 327 mins.
Operation 7 on Machine 2 duration 275 mins.
Operation 8 on Machine 5 duration 353 mins.
Operation 9 on Machine 3 duration 157 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 200 mins.
Operation 1 on Machine 8 duration 454 mins.
Operation 2 on Machine 0 duration 98 mins.
Operation 3 on Machine 3 duration 71 mins.
Operation 4 on Machine 4 duration 436 mins.
Operation 5 on Machine 6 duration 458 mins.
Operation 6 on Machine 9 duration 431 mins.
Operation 7 on Machine 2 duration 49 mins.
Operation 8 on Machine 1 duration 468 mins.
Operation 9 on Machine 7 duration 177 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 85 mins.
Operation 1 on Machine 9 duration 114 mins.
Operation 2 on Machine 4 duration 50 mins.
Operation 3 on Machine 0 duration 189 mins.
Operation 4 on Machine 8 duration 226 mins.
Operation 5 on Machine 6 duration 111 mins.
Operation 6 on Machine 5 duration 169 mins.
Operation 7 on Machine 2 duration 98 mins.
Operation 8 on Machine 3 duration 104 mins.
Operation 9 on Machine 7 duration 474 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 3 duration 113 mins.
Operation 1 on Machine 7 duration 2 mins.
Operation 2 on Machine 5 duration 84 mins.
Operation 3 on Machine 2 duration 386 mins.
Operation 4 on Machine 6 duration 92 mins.
Operation 5 on Machine 0 duration 310 mins.
Operation 6 on Machine 9 duration 369 mins.
Operation 7 on Machine 4 duration 464 mins.
Operation 8 on Machine 8 duration 5 mins.
Operation 9 on Machine 1 duration 182 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 5 duration 456 mins.
Operation 1 on Machine 8 duration 419 mins.
Operation 2 on Machine 3 duration 244 mins.
Operation 3 on Machine 9 duration 207 mins.
Operation 4 on Machine 1 duration 209 mins.
Operation 5 on Machine 0 duration 315 mins.
Operation 6 on Machine 7 duration 64 mins.
Operation 7 on Machine 6 duration 449 mins.
Operation 8 on Machine 4 duration 334 mins.
Operation 9 on Machine 2 duration 142 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 1 duration 220 mins.
Operation 1 on Machine 4 duration 143 mins.
Operation 2 on Machine 8 duration 257 mins.
Operation 3 on Machine 7 duration 487 mins.
Operation 4 on Machine 9 duration 36 mins.
Operation 5 on Machine 6 duration 258 mins.
Operation 6 on Machine 3 duration 449 mins.
Operation 7 on Machine 5 duration 285 mins.
Operation 8 on Machine 2 duration 299 mins.
Operation 9 on Machine 0 duration 343 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 0 duration 283 mins.
Operation 1 on Machine 3 duration 420 mins.
Operation 2 on Machine 1 duration 254 mins.
Operation 3 on Machine 5 duration 102 mins.
Operation 4 on Machine 7 duration 202 mins.
Operation 5 on Machine 2 duration 386 mins.
Operation 6 on Machine 4 duration 272 mins.
Operation 7 on Machine 9 duration 105 mins.
Operation 8 on Machine 6 duration 121 mins.
Operation 9 on Machine 8 duration 120 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 0 duration 236 mins.
Operation 1 on Machine 8 duration 288 mins.
Operation 2 on Machine 4 duration 215 mins.
Operation 3 on Machine 2 duration 65 mins.
Operation 4 on Machine 1 duration 272 mins.
Operation 5 on Machine 7 duration 461 mins.
Operation 6 on Machine 9 duration 109 mins.
Operation 7 on Machine 6 duration 124 mins.
Operation 8 on Machine 5 duration 100 mins.
Operation 9 on Machine 3 duration 166 mins.
| Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 13 Operation 0 duration 283 mins.
Job 14 Operation 0 duration 236 mins.
Job 8 Operation 2 duration 98 mins.
Job 4 Operation 3 duration 398 mins.
Job 9 Operation 3 duration 189 mins.
Job 1 Operation 4 duration 451 mins.
Job 2 Operation 4 duration 225 mins.
Job 3 Operation 5 duration 190 mins.
Job 7 Operation 5 duration 352 mins.
Job 10 Operation 5 duration 310 mins.
Job 11 Operation 5 duration 315 mins.
Job 5 Operation 7 duration 15 mins.
Job 6 Operation 7 duration 243 mins.
Job 0 Operation 9 duration 168 mins.
Job 12 Operation 9 duration 343 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 150 mins.
Job 9 Operation 0 duration 85 mins.
Job 12 Operation 0 duration 220 mins.
Job 7 Operation 1 duration 138 mins.
Job 13 Operation 2 duration 254 mins.
Job 11 Operation 4 duration 209 mins.
Job 14 Operation 4 duration 272 mins.
Job 0 Operation 7 duration 39 mins.
Job 4 Operation 7 duration 484 mins.
Job 1 Operation 8 duration 301 mins.
Job 8 Operation 8 duration 468 mins.
Job 3 Operation 9 duration 343 mins.
Job 5 Operation 9 duration 453 mins.
Job 6 Operation 9 duration 200 mins.
Job 10 Operation 9 duration 182 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 2 duration 145 mins.
Job 3 Operation 2 duration 15 mins.
Job 10 Operation 3 duration 386 mins.
Job 14 Operation 3 duration 65 mins.
Job 5 Operation 4 duration 30 mins.
Job 1 Operation 5 duration 198 mins.
Job 6 Operation 5 duration 205 mins.
Job 13 Operation 5 duration 386 mins.
Job 4 Operation 6 duration 49 mins.
Job 7 Operation 7 duration 275 mins.
Job 8 Operation 7 duration 49 mins.
Job 9 Operation 7 duration 98 mins.
Job 0 Operation 8 duration 217 mins.
Job 12 Operation 8 duration 299 mins.
Job 11 Operation 9 duration 142 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 111 mins.
Job 10 Operation 0 duration 113 mins.
Job 13 Operation 1 duration 420 mins.
Job 1 Operation 2 duration 392 mins.
Job 5 Operation 2 duration 332 mins.
Job 6 Operation 2 duration 353 mins.
Job 11 Operation 2 duration 244 mins.
Job 3 Operation 3 duration 368 mins.
Job 8 Operation 3 duration 71 mins.
Job 0 Operation 4 duration 330 mins.
Job 12 Operation 6 duration 449 mins.
Job 9 Operation 8 duration 104 mins.
Job 2 Operation 9 duration 296 mins.
Job 7 Operation 9 duration 157 mins.
Job 14 Operation 9 duration 166 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 1 duration 345 mins.
Job 12 Operation 1 duration 143 mins.
Job 0 Operation 2 duration 180 mins.
Job 7 Operation 2 duration 96 mins.
Job 9 Operation 2 duration 50 mins.
Job 14 Operation 2 duration 215 mins.
Job 4 Operation 4 duration 112 mins.
Job 8 Operation 4 duration 436 mins.
Job 2 Operation 6 duration 116 mins.
Job 13 Operation 6 duration 272 mins.
Job 3 Operation 7 duration 44 mins.
Job 10 Operation 7 duration 464 mins.
Job 5 Operation 8 duration 431 mins.
Job 6 Operation 8 duration 406 mins.
Job 11 Operation 8 duration 334 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 168 mins.
Job 8 Operation 0 duration 200 mins.
Job 11 Operation 0 duration 456 mins.
Job 0 Operation 1 duration 52 mins.
Job 10 Operation 2 duration 84 mins.
Job 5 Operation 3 duration 216 mins.
Job 13 Operation 3 duration 102 mins.
Job 6 Operation 4 duration 242 mins.
Job 2 Operation 5 duration 176 mins.
Job 4 Operation 5 duration 57 mins.
Job 3 Operation 6 duration 190 mins.
Job 9 Operation 6 duration 169 mins.
Job 12 Operation 7 duration 285 mins.
Job 7 Operation 8 duration 353 mins.
Job 14 Operation 8 duration 100 mins.
Machine 6 is used for the following Operations:
Job 7 Operation 0 duration 325 mins.
Job 3 Operation 1 duration 207 mins.
Job 1 Operation 3 duration 414 mins.
Job 10 Operation 4 duration 92 mins.
Job 8 Operation 5 duration 458 mins.
Job 9 Operation 5 duration 111 mins.
Job 12 Operation 5 duration 258 mins.
Job 0 Operation 6 duration 183 mins.
Job 5 Operation 6 duration 311 mins.
Job 6 Operation 6 duration 417 mins.
Job 2 Operation 7 duration 141 mins.
Job 11 Operation 7 duration 449 mins.
Job 14 Operation 7 duration 124 mins.
Job 13 Operation 8 duration 121 mins.
Job 4 Operation 9 duration 162 mins.
Machine 7 is used for the following Operations:
Job 5 Operation 1 duration 165 mins.
Job 6 Operation 1 duration 124 mins.
Job 10 Operation 1 duration 2 mins.
Job 0 Operation 3 duration 280 mins.
Job 12 Operation 3 duration 487 mins.
Job 13 Operation 4 duration 202 mins.
Job 14 Operation 5 duration 461 mins.
Job 1 Operation 6 duration 61 mins.
Job 7 Operation 6 duration 327 mins.
Job 11 Operation 6 duration 64 mins.
Job 2 Operation 8 duration 402 mins.
Job 3 Operation 8 duration 243 mins.
Job 4 Operation 8 duration 189 mins.
Job 8 Operation 9 duration 177 mins.
Job 9 Operation 9 duration 474 mins.
Machine 8 is used for the following Operations:
Job 3 Operation 0 duration 362 mins.
Job 5 Operation 0 duration 105 mins.
Job 6 Operation 0 duration 425 mins.
Job 2 Operation 1 duration 238 mins.
Job 4 Operation 1 duration 363 mins.
Job 8 Operation 1 duration 454 mins.
Job 11 Operation 1 duration 419 mins.
Job 14 Operation 1 duration 288 mins.
Job 12 Operation 2 duration 257 mins.
Job 7 Operation 4 duration 14 mins.
Job 9 Operation 4 duration 226 mins.
Job 0 Operation 5 duration 56 mins.
Job 1 Operation 7 duration 225 mins.
Job 10 Operation 8 duration 5 mins.
Job 13 Operation 9 duration 120 mins.
Machine 9 is used for the following Operations:
Job 0 Operation 0 duration 427 mins.
Job 9 Operation 1 duration 114 mins.
Job 4 Operation 2 duration 82 mins.
Job 2 Operation 3 duration 190 mins.
Job 6 Operation 3 duration 156 mins.
Job 7 Operation 3 duration 347 mins.
Job 11 Operation 3 duration 207 mins.
Job 3 Operation 4 duration 480 mins.
Job 12 Operation 4 duration 36 mins.
Job 5 Operation 5 duration 284 mins.
Job 8 Operation 6 duration 431 mins.
Job 10 Operation 6 duration 369 mins.
Job 14 Operation 6 duration 109 mins.
Job 13 Operation 7 duration 105 mins.
Job 1 Operation 9 duration 123 mins.
| Solution:
Job 13 Operation 0 on Machine 0 : 0 + 283 -> 283
Job 9 Operation 0 on Machine 1 : 0 + 85 -> 85
Job 10 Operation 0 on Machine 3 : 0 + 113 -> 113
Job 7 Operation 0 on Machine 6 : 0 + 325 -> 325
Job 5 Operation 0 on Machine 8 : 0 + 105 -> 105
Job 0 Operation 0 on Machine 9 : 0 + 427 -> 427
Job 12 Operation 0 on Machine 1 : 85 + 220 -> 305
Job 3 Operation 0 on Machine 8 : 105 + 362 -> 467
Job 4 Operation 0 on Machine 3 : 113 + 111 -> 224
Job 10 Operation 1 on Machine 7 : 113 + 2 -> 115
Job 10 Operation 2 on Machine 5 : 115 + 84 -> 199
Job 5 Operation 1 on Machine 7 : 115 + 165 -> 280
Job 10 Operation 3 on Machine 2 : 199 + 386 -> 585
Job 1 Operation 0 on Machine 5 : 199 + 168 -> 367
Job 5 Operation 2 on Machine 3 : 280 + 332 -> 612
Job 14 Operation 0 on Machine 0 : 283 + 236 -> 519
Job 12 Operation 1 on Machine 4 : 305 + 143 -> 448
Job 7 Operation 1 on Machine 1 : 325 + 138 -> 463
Job 0 Operation 1 on Machine 5 : 427 + 52 -> 479
Job 9 Operation 1 on Machine 9 : 427 + 114 -> 541
Job 2 Operation 0 on Machine 1 : 463 + 150 -> 613
Job 7 Operation 2 on Machine 4 : 463 + 96 -> 559
Job 12 Operation 2 on Machine 8 : 467 + 257 -> 724
Job 9 Operation 2 on Machine 4 : 559 + 50 -> 609
Job 7 Operation 3 on Machine 9 : 559 + 347 -> 906
Job 10 Operation 4 on Machine 6 : 585 + 92 -> 677
Job 9 Operation 3 on Machine 0 : 609 + 189 -> 798
Job 1 Operation 1 on Machine 4 : 609 + 345 -> 954
Job 13 Operation 1 on Machine 3 : 612 + 420 -> 1032
Job 5 Operation 3 on Machine 5 : 612 + 216 -> 828
Job 3 Operation 1 on Machine 6 : 677 + 207 -> 884
Job 12 Operation 3 on Machine 7 : 724 + 487 -> 1211
Job 4 Operation 1 on Machine 8 : 724 + 363 -> 1087
Job 10 Operation 5 on Machine 0 : 798 + 310 -> 1108
Job 5 Operation 4 on Machine 2 : 828 + 30 -> 858
Job 11 Operation 0 on Machine 5 : 828 + 456 -> 1284
Job 0 Operation 2 on Machine 4 : 954 + 180 -> 1134
Job 13 Operation 2 on Machine 1 : 1032 + 254 -> 1286
Job 1 Operation 2 on Machine 3 : 1032 + 392 -> 1424
Job 2 Operation 1 on Machine 8 : 1087 + 238 -> 1325
Job 4 Operation 2 on Machine 9 : 1087 + 82 -> 1169
Job 4 Operation 3 on Machine 0 : 1169 + 398 -> 1567
Job 10 Operation 6 on Machine 9 : 1169 + 369 -> 1538
Job 0 Operation 3 on Machine 7 : 1211 + 280 -> 1491
Job 8 Operation 0 on Machine 5 : 1284 + 200 -> 1484
Job 2 Operation 2 on Machine 2 : 1325 + 145 -> 1470
Job 6 Operation 0 on Machine 8 : 1325 + 425 -> 1750
Job 1 Operation 3 on Machine 6 : 1424 + 414 -> 1838
Job 0 Operation 4 on Machine 3 : 1491 + 330 -> 1821
Job 2 Operation 3 on Machine 9 : 1538 + 190 -> 1728
Job 4 Operation 4 on Machine 4 : 1567 + 112 -> 1679
Job 10 Operation 7 on Machine 4 : 1679 + 464 -> 2143
Job 4 Operation 5 on Machine 5 : 1679 + 57 -> 1736
Job 2 Operation 4 on Machine 0 : 1728 + 225 -> 1953
Job 5 Operation 5 on Machine 9 : 1728 + 284 -> 2012
Job 4 Operation 6 on Machine 2 : 1736 + 49 -> 1785
Job 6 Operation 1 on Machine 7 : 1750 + 124 -> 1874
Job 7 Operation 4 on Machine 8 : 1750 + 14 -> 1764
Job 14 Operation 1 on Machine 8 : 1764 + 288 -> 2052
Job 4 Operation 7 on Machine 1 : 1785 + 484 -> 2269
Job 3 Operation 2 on Machine 2 : 1785 + 15 -> 1800
Job 6 Operation 2 on Machine 3 : 1874 + 353 -> 2227
Job 1 Operation 4 on Machine 0 : 1953 + 451 -> 2404
Job 2 Operation 5 on Machine 5 : 1953 + 176 -> 2129
Job 5 Operation 6 on Machine 6 : 2012 + 311 -> 2323
Job 12 Operation 4 on Machine 9 : 2012 + 36 -> 2048
Job 8 Operation 1 on Machine 8 : 2052 + 454 -> 2506
Job 13 Operation 3 on Machine 5 : 2129 + 102 -> 2231
Job 2 Operation 6 on Machine 4 : 2143 + 116 -> 2259
Job 3 Operation 3 on Machine 3 : 2227 + 368 -> 2595
Job 6 Operation 3 on Machine 9 : 2227 + 156 -> 2383
Job 13 Operation 4 on Machine 7 : 2231 + 202 -> 2433
Job 14 Operation 2 on Machine 4 : 2259 + 215 -> 2474
Job 2 Operation 7 on Machine 6 : 2323 + 141 -> 2464
Job 6 Operation 4 on Machine 5 : 2383 + 242 -> 2625
Job 5 Operation 7 on Machine 0 : 2404 + 15 -> 2419
Job 7 Operation 5 on Machine 0 : 2419 + 352 -> 2771
Job 12 Operation 5 on Machine 6 : 2464 + 258 -> 2722
Job 2 Operation 8 on Machine 7 : 2464 + 402 -> 2866
Job 14 Operation 3 on Machine 2 : 2474 + 65 -> 2539
Job 5 Operation 8 on Machine 4 : 2474 + 431 -> 2905
Job 10 Operation 8 on Machine 8 : 2506 + 5 -> 2511
Job 10 Operation 9 on Machine 1 : 2511 + 182 -> 2693
Job 0 Operation 5 on Machine 8 : 2511 + 56 -> 2567
Job 11 Operation 1 on Machine 8 : 2567 + 419 -> 2986
Job 3 Operation 4 on Machine 9 : 2595 + 480 -> 3075
Job 6 Operation 5 on Machine 2 : 2625 + 205 -> 2830
Job 14 Operation 4 on Machine 1 : 2693 + 272 -> 2965
Job 0 Operation 6 on Machine 6 : 2722 + 183 -> 2905
Job 8 Operation 2 on Machine 0 : 2771 + 98 -> 2869
Job 1 Operation 5 on Machine 2 : 2830 + 198 -> 3028
Job 7 Operation 6 on Machine 7 : 2866 + 327 -> 3193
Job 8 Operation 3 on Machine 3 : 2869 + 71 -> 2940
Job 6 Operation 6 on Machine 6 : 2905 + 417 -> 3322
Job 8 Operation 4 on Machine 4 : 2940 + 436 -> 3376
Job 5 Operation 9 on Machine 1 : 2965 + 453 -> 3418
Job 11 Operation 2 on Machine 3 : 2986 + 244 -> 3230
Job 9 Operation 4 on Machine 8 : 2986 + 226 -> 3212
Job 3 Operation 5 on Machine 0 : 3075 + 190 -> 3265
Job 7 Operation 7 on Machine 2 : 3193 + 275 -> 3468
Job 1 Operation 6 on Machine 7 : 3193 + 61 -> 3254
Job 12 Operation 6 on Machine 3 : 3230 + 449 -> 3679
Job 11 Operation 3 on Machine 9 : 3230 + 207 -> 3437
Job 14 Operation 5 on Machine 7 : 3254 + 461 -> 3715
Job 1 Operation 7 on Machine 8 : 3254 + 225 -> 3479
Job 3 Operation 6 on Machine 5 : 3265 + 190 -> 3455
Job 6 Operation 7 on Machine 0 : 3322 + 243 -> 3565
Job 8 Operation 5 on Machine 6 : 3376 + 458 -> 3834
Job 0 Operation 7 on Machine 1 : 3418 + 39 -> 3457
Job 3 Operation 7 on Machine 4 : 3455 + 44 -> 3499
Job 11 Operation 4 on Machine 1 : 3457 + 209 -> 3666
Job 13 Operation 5 on Machine 2 : 3468 + 386 -> 3854
Job 6 Operation 8 on Machine 4 : 3565 + 406 -> 3971
Job 11 Operation 5 on Machine 0 : 3666 + 315 -> 3981
Job 1 Operation 8 on Machine 1 : 3666 + 301 -> 3967
Job 12 Operation 7 on Machine 5 : 3679 + 285 -> 3964
Job 3 Operation 8 on Machine 7 : 3715 + 243 -> 3958
Job 9 Operation 5 on Machine 6 : 3834 + 111 -> 3945
Job 8 Operation 6 on Machine 9 : 3834 + 431 -> 4265
Job 0 Operation 8 on Machine 2 : 3854 + 217 -> 4071
Job 9 Operation 6 on Machine 5 : 3964 + 169 -> 4133
Job 3 Operation 9 on Machine 1 : 3967 + 343 -> 4310
Job 13 Operation 6 on Machine 4 : 3971 + 272 -> 4243
Job 11 Operation 6 on Machine 7 : 3981 + 64 -> 4045
Job 11 Operation 7 on Machine 6 : 4045 + 449 -> 4494
Job 4 Operation 8 on Machine 7 : 4045 + 189 -> 4234
Job 0 Operation 9 on Machine 0 : 4071 + 168 -> 4239
Job 9 Operation 7 on Machine 2 : 4133 + 98 -> 4231
Job 7 Operation 8 on Machine 5 : 4133 + 353 -> 4486
Job 9 Operation 8 on Machine 3 : 4231 + 104 -> 4335
Job 8 Operation 7 on Machine 2 : 4265 + 49 -> 4314
Job 1 Operation 9 on Machine 9 : 4265 + 123 -> 4388
Job 8 Operation 8 on Machine 1 : 4314 + 468 -> 4782
Job 12 Operation 8 on Machine 2 : 4314 + 299 -> 4613
Job 2 Operation 9 on Machine 3 : 4335 + 296 -> 4631
Job 9 Operation 9 on Machine 7 : 4335 + 474 -> 4809
Job 14 Operation 6 on Machine 9 : 4388 + 109 -> 4497
Job 11 Operation 8 on Machine 4 : 4494 + 334 -> 4828
Job 14 Operation 7 on Machine 6 : 4497 + 124 -> 4621
Job 13 Operation 7 on Machine 9 : 4497 + 105 -> 4602
Job 12 Operation 9 on Machine 0 : 4613 + 343 -> 4956
Job 14 Operation 8 on Machine 5 : 4621 + 100 -> 4721
Job 13 Operation 8 on Machine 6 : 4621 + 121 -> 4742
Job 7 Operation 9 on Machine 3 : 4631 + 157 -> 4788
Job 4 Operation 9 on Machine 6 : 4742 + 162 -> 4904
Job 13 Operation 9 on Machine 8 : 4742 + 120 -> 4862
Job 6 Operation 9 on Machine 1 : 4782 + 200 -> 4982
Job 14 Operation 9 on Machine 3 : 4788 + 166 -> 4954
Job 8 Operation 9 on Machine 7 : 4809 + 177 -> 4986
Job 11 Operation 9 on Machine 2 : 4828 + 142 -> 4970
Makespan: 4986.0, as it is the maximum end completion time of Operation 9 |
10 | 9 | Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 176 mins.
Operation 1 on Machine 2 duration 121 mins.
Operation 2 on Machine 5 duration 53 mins.
Operation 3 on Machine 0 duration 8 mins.
Operation 4 on Machine 7 duration 153 mins.
Operation 5 on Machine 8 duration 200 mins.
Operation 6 on Machine 6 duration 60 mins.
Operation 7 on Machine 4 duration 112 mins.
Operation 8 on Machine 3 duration 280 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 260 mins.
Operation 1 on Machine 6 duration 127 mins.
Operation 2 on Machine 0 duration 235 mins.
Operation 3 on Machine 3 duration 256 mins.
Operation 4 on Machine 7 duration 209 mins.
Operation 5 on Machine 8 duration 24 mins.
Operation 6 on Machine 2 duration 268 mins.
Operation 7 on Machine 4 duration 100 mins.
Operation 8 on Machine 5 duration 154 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 38 mins.
Operation 1 on Machine 4 duration 12 mins.
Operation 2 on Machine 6 duration 195 mins.
Operation 3 on Machine 0 duration 10 mins.
Operation 4 on Machine 7 duration 117 mins.
Operation 5 on Machine 5 duration 260 mins.
Operation 6 on Machine 2 duration 26 mins.
Operation 7 on Machine 3 duration 179 mins.
Operation 8 on Machine 8 duration 169 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 288 mins.
Operation 1 on Machine 1 duration 225 mins.
Operation 2 on Machine 7 duration 267 mins.
Operation 3 on Machine 0 duration 53 mins.
Operation 4 on Machine 8 duration 45 mins.
Operation 5 on Machine 5 duration 280 mins.
Operation 6 on Machine 2 duration 167 mins.
Operation 7 on Machine 4 duration 236 mins.
Operation 8 on Machine 3 duration 32 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 152 mins.
Operation 1 on Machine 6 duration 278 mins.
Operation 2 on Machine 8 duration 179 mins.
Operation 3 on Machine 1 duration 61 mins.
Operation 4 on Machine 0 duration 170 mins.
Operation 5 on Machine 3 duration 297 mins.
Operation 6 on Machine 4 duration 78 mins.
Operation 7 on Machine 7 duration 31 mins.
Operation 8 on Machine 5 duration 164 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 8 duration 102 mins.
Operation 1 on Machine 3 duration 203 mins.
Operation 2 on Machine 1 duration 21 mins.
Operation 3 on Machine 7 duration 85 mins.
Operation 4 on Machine 4 duration 15 mins.
Operation 5 on Machine 0 duration 196 mins.
Operation 6 on Machine 5 duration 242 mins.
Operation 7 on Machine 2 duration 208 mins.
Operation 8 on Machine 6 duration 6 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 8 duration 213 mins.
Operation 1 on Machine 4 duration 70 mins.
Operation 2 on Machine 2 duration 44 mins.
Operation 3 on Machine 7 duration 216 mins.
Operation 4 on Machine 1 duration 10 mins.
Operation 5 on Machine 5 duration 180 mins.
Operation 6 on Machine 0 duration 132 mins.
Operation 7 on Machine 6 duration 275 mins.
Operation 8 on Machine 3 duration 209 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 10 mins.
Operation 1 on Machine 6 duration 79 mins.
Operation 2 on Machine 4 duration 23 mins.
Operation 3 on Machine 7 duration 6 mins.
Operation 4 on Machine 3 duration 185 mins.
Operation 5 on Machine 8 duration 278 mins.
Operation 6 on Machine 1 duration 145 mins.
Operation 7 on Machine 5 duration 47 mins.
Operation 8 on Machine 0 duration 82 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 81 mins.
Operation 1 on Machine 2 duration 274 mins.
Operation 2 on Machine 4 duration 251 mins.
Operation 3 on Machine 5 duration 123 mins.
Operation 4 on Machine 0 duration 92 mins.
Operation 5 on Machine 1 duration 90 mins.
Operation 6 on Machine 6 duration 150 mins.
Operation 7 on Machine 7 duration 13 mins.
Operation 8 on Machine 8 duration 281 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 193 mins.
Operation 1 on Machine 4 duration 90 mins.
Operation 2 on Machine 5 duration 99 mins.
Operation 3 on Machine 8 duration 117 mins.
Operation 4 on Machine 6 duration 202 mins.
Operation 5 on Machine 1 duration 81 mins.
Operation 6 on Machine 7 duration 231 mins.
Operation 7 on Machine 3 duration 249 mins.
Operation 8 on Machine 2 duration 3 mins.
| Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 9 Operation 0 duration 193 mins.
Job 1 Operation 2 duration 235 mins.
Job 0 Operation 3 duration 8 mins.
Job 2 Operation 3 duration 10 mins.
Job 3 Operation 3 duration 53 mins.
Job 4 Operation 4 duration 170 mins.
Job 8 Operation 4 duration 92 mins.
Job 5 Operation 5 duration 196 mins.
Job 6 Operation 6 duration 132 mins.
Job 7 Operation 8 duration 82 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 176 mins.
Job 1 Operation 0 duration 260 mins.
Job 2 Operation 0 duration 38 mins.
Job 3 Operation 1 duration 225 mins.
Job 5 Operation 2 duration 21 mins.
Job 4 Operation 3 duration 61 mins.
Job 6 Operation 4 duration 10 mins.
Job 8 Operation 5 duration 90 mins.
Job 9 Operation 5 duration 81 mins.
Job 7 Operation 6 duration 145 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 152 mins.
Job 7 Operation 0 duration 10 mins.
Job 0 Operation 1 duration 121 mins.
Job 8 Operation 1 duration 274 mins.
Job 6 Operation 2 duration 44 mins.
Job 1 Operation 6 duration 268 mins.
Job 2 Operation 6 duration 26 mins.
Job 3 Operation 6 duration 167 mins.
Job 5 Operation 7 duration 208 mins.
Job 9 Operation 8 duration 3 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 0 duration 81 mins.
Job 5 Operation 1 duration 203 mins.
Job 1 Operation 3 duration 256 mins.
Job 7 Operation 4 duration 185 mins.
Job 4 Operation 5 duration 297 mins.
Job 2 Operation 7 duration 179 mins.
Job 9 Operation 7 duration 249 mins.
Job 0 Operation 8 duration 280 mins.
Job 3 Operation 8 duration 32 mins.
Job 6 Operation 8 duration 209 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 1 duration 12 mins.
Job 6 Operation 1 duration 70 mins.
Job 9 Operation 1 duration 90 mins.
Job 7 Operation 2 duration 23 mins.
Job 8 Operation 2 duration 251 mins.
Job 5 Operation 4 duration 15 mins.
Job 4 Operation 6 duration 78 mins.
Job 0 Operation 7 duration 112 mins.
Job 1 Operation 7 duration 100 mins.
Job 3 Operation 7 duration 236 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 2 duration 53 mins.
Job 9 Operation 2 duration 99 mins.
Job 8 Operation 3 duration 123 mins.
Job 2 Operation 5 duration 260 mins.
Job 3 Operation 5 duration 280 mins.
Job 6 Operation 5 duration 180 mins.
Job 5 Operation 6 duration 242 mins.
Job 7 Operation 7 duration 47 mins.
Job 1 Operation 8 duration 154 mins.
Job 4 Operation 8 duration 164 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 288 mins.
Job 1 Operation 1 duration 127 mins.
Job 4 Operation 1 duration 278 mins.
Job 7 Operation 1 duration 79 mins.
Job 2 Operation 2 duration 195 mins.
Job 9 Operation 4 duration 202 mins.
Job 0 Operation 6 duration 60 mins.
Job 8 Operation 6 duration 150 mins.
Job 6 Operation 7 duration 275 mins.
Job 5 Operation 8 duration 6 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 2 duration 267 mins.
Job 5 Operation 3 duration 85 mins.
Job 6 Operation 3 duration 216 mins.
Job 7 Operation 3 duration 6 mins.
Job 0 Operation 4 duration 153 mins.
Job 1 Operation 4 duration 209 mins.
Job 2 Operation 4 duration 117 mins.
Job 9 Operation 6 duration 231 mins.
Job 4 Operation 7 duration 31 mins.
Job 8 Operation 7 duration 13 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 0 duration 102 mins.
Job 6 Operation 0 duration 213 mins.
Job 4 Operation 2 duration 179 mins.
Job 9 Operation 3 duration 117 mins.
Job 3 Operation 4 duration 45 mins.
Job 0 Operation 5 duration 200 mins.
Job 1 Operation 5 duration 24 mins.
Job 7 Operation 5 duration 278 mins.
Job 2 Operation 8 duration 169 mins.
Job 8 Operation 8 duration 281 mins.
| Solution:
Job 9 Operation 0 on Machine 0 : 0 + 193 -> 193
Job 2 Operation 0 on Machine 1 : 0 + 38 -> 38
Job 7 Operation 0 on Machine 2 : 0 + 10 -> 10
Job 8 Operation 0 on Machine 3 : 0 + 81 -> 81
Job 6 Operation 0 on Machine 8 : 0 + 213 -> 213
Job 4 Operation 0 on Machine 2 : 10 + 152 -> 162
Job 7 Operation 1 on Machine 6 : 10 + 79 -> 89
Job 0 Operation 0 on Machine 1 : 38 + 176 -> 214
Job 2 Operation 1 on Machine 4 : 38 + 12 -> 50
Job 7 Operation 2 on Machine 4 : 89 + 23 -> 112
Job 2 Operation 2 on Machine 6 : 89 + 195 -> 284
Job 7 Operation 3 on Machine 7 : 112 + 6 -> 118
Job 7 Operation 4 on Machine 3 : 118 + 185 -> 303
Job 6 Operation 1 on Machine 4 : 213 + 70 -> 283
Job 5 Operation 0 on Machine 8 : 213 + 102 -> 315
Job 1 Operation 0 on Machine 1 : 214 + 260 -> 474
Job 0 Operation 1 on Machine 2 : 214 + 121 -> 335
Job 9 Operation 1 on Machine 4 : 283 + 90 -> 373
Job 2 Operation 3 on Machine 0 : 284 + 10 -> 294
Job 3 Operation 0 on Machine 6 : 284 + 288 -> 572
Job 2 Operation 4 on Machine 7 : 294 + 117 -> 411
Job 5 Operation 1 on Machine 3 : 315 + 203 -> 518
Job 7 Operation 5 on Machine 8 : 315 + 278 -> 593
Job 6 Operation 2 on Machine 2 : 335 + 44 -> 379
Job 0 Operation 2 on Machine 5 : 335 + 53 -> 388
Job 8 Operation 1 on Machine 2 : 379 + 274 -> 653
Job 0 Operation 3 on Machine 0 : 388 + 8 -> 396
Job 2 Operation 5 on Machine 5 : 411 + 260 -> 671
Job 0 Operation 4 on Machine 7 : 411 + 153 -> 564
Job 5 Operation 2 on Machine 1 : 518 + 21 -> 539
Job 6 Operation 3 on Machine 7 : 564 + 216 -> 780
Job 3 Operation 1 on Machine 1 : 572 + 225 -> 797
Job 1 Operation 1 on Machine 6 : 572 + 127 -> 699
Job 0 Operation 5 on Machine 8 : 593 + 200 -> 793
Job 8 Operation 2 on Machine 4 : 653 + 251 -> 904
Job 2 Operation 6 on Machine 2 : 671 + 26 -> 697
Job 9 Operation 2 on Machine 5 : 671 + 99 -> 770
Job 2 Operation 7 on Machine 3 : 697 + 179 -> 876
Job 1 Operation 2 on Machine 0 : 699 + 235 -> 934
Job 4 Operation 1 on Machine 6 : 699 + 278 -> 977
Job 9 Operation 3 on Machine 8 : 793 + 117 -> 910
Job 6 Operation 4 on Machine 1 : 797 + 10 -> 807
Job 3 Operation 2 on Machine 7 : 797 + 267 -> 1064
Job 7 Operation 6 on Machine 1 : 807 + 145 -> 952
Job 6 Operation 5 on Machine 5 : 807 + 180 -> 987
Job 1 Operation 3 on Machine 3 : 934 + 256 -> 1190
Job 0 Operation 6 on Machine 6 : 977 + 60 -> 1037
Job 4 Operation 2 on Machine 8 : 977 + 179 -> 1156
Job 6 Operation 6 on Machine 0 : 987 + 132 -> 1119
Job 8 Operation 3 on Machine 5 : 987 + 123 -> 1110
Job 0 Operation 7 on Machine 4 : 1037 + 112 -> 1149
Job 9 Operation 4 on Machine 6 : 1037 + 202 -> 1239
Job 5 Operation 3 on Machine 7 : 1064 + 85 -> 1149
Job 7 Operation 7 on Machine 5 : 1110 + 47 -> 1157
Job 3 Operation 3 on Machine 0 : 1119 + 53 -> 1172
Job 5 Operation 4 on Machine 4 : 1149 + 15 -> 1164
Job 4 Operation 3 on Machine 1 : 1156 + 61 -> 1217
Job 3 Operation 4 on Machine 8 : 1172 + 45 -> 1217
Job 0 Operation 8 on Machine 3 : 1190 + 280 -> 1470
Job 1 Operation 4 on Machine 7 : 1190 + 209 -> 1399
Job 4 Operation 4 on Machine 0 : 1217 + 170 -> 1387
Job 3 Operation 5 on Machine 5 : 1217 + 280 -> 1497
Job 9 Operation 5 on Machine 1 : 1239 + 81 -> 1320
Job 6 Operation 7 on Machine 6 : 1239 + 275 -> 1514
Job 8 Operation 4 on Machine 0 : 1387 + 92 -> 1479
Job 9 Operation 6 on Machine 7 : 1399 + 231 -> 1630
Job 1 Operation 5 on Machine 8 : 1399 + 24 -> 1423
Job 1 Operation 6 on Machine 2 : 1423 + 268 -> 1691
Job 2 Operation 8 on Machine 8 : 1423 + 169 -> 1592
Job 4 Operation 5 on Machine 3 : 1470 + 297 -> 1767
Job 5 Operation 5 on Machine 0 : 1479 + 196 -> 1675
Job 8 Operation 5 on Machine 1 : 1479 + 90 -> 1569
Job 8 Operation 6 on Machine 6 : 1569 + 150 -> 1719
Job 7 Operation 8 on Machine 0 : 1675 + 82 -> 1757
Job 5 Operation 6 on Machine 5 : 1675 + 242 -> 1917
Job 3 Operation 6 on Machine 2 : 1691 + 167 -> 1858
Job 8 Operation 7 on Machine 7 : 1719 + 13 -> 1732
Job 8 Operation 8 on Machine 8 : 1732 + 281 -> 2013
Job 6 Operation 8 on Machine 3 : 1767 + 209 -> 1976
Job 4 Operation 6 on Machine 4 : 1767 + 78 -> 1845
Job 1 Operation 7 on Machine 4 : 1845 + 100 -> 1945
Job 4 Operation 7 on Machine 7 : 1845 + 31 -> 1876
Job 5 Operation 7 on Machine 2 : 1917 + 208 -> 2125
Job 4 Operation 8 on Machine 5 : 1917 + 164 -> 2081
Job 3 Operation 7 on Machine 4 : 1945 + 236 -> 2181
Job 9 Operation 7 on Machine 3 : 1976 + 249 -> 2225
Job 1 Operation 8 on Machine 5 : 2081 + 154 -> 2235
Job 5 Operation 8 on Machine 6 : 2125 + 6 -> 2131
Job 9 Operation 8 on Machine 2 : 2225 + 3 -> 2228
Job 3 Operation 8 on Machine 3 : 2225 + 32 -> 2257
Makespan: 2257.0, as it is the maximum end completion time of Operation 8 |
8 | 4 | Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 280 mins.
Operation 1 on Machine 0 duration 214 mins.
Operation 2 on Machine 3 duration 313 mins.
Operation 3 on Machine 2 duration 326 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 159 mins.
Operation 1 on Machine 1 duration 54 mins.
Operation 2 on Machine 2 duration 236 mins.
Operation 3 on Machine 3 duration 312 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 278 mins.
Operation 1 on Machine 0 duration 363 mins.
Operation 2 on Machine 1 duration 297 mins.
Operation 3 on Machine 3 duration 249 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 39 mins.
Operation 1 on Machine 3 duration 24 mins.
Operation 2 on Machine 2 duration 261 mins.
Operation 3 on Machine 1 duration 135 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 171 mins.
Operation 1 on Machine 0 duration 345 mins.
Operation 2 on Machine 2 duration 131 mins.
Operation 3 on Machine 3 duration 33 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 199 mins.
Operation 1 on Machine 1 duration 127 mins.
Operation 2 on Machine 0 duration 314 mins.
Operation 3 on Machine 2 duration 52 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 244 mins.
Operation 1 on Machine 3 duration 23 mins.
Operation 2 on Machine 2 duration 267 mins.
Operation 3 on Machine 1 duration 362 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 228 mins.
Operation 1 on Machine 1 duration 31 mins.
Operation 2 on Machine 2 duration 416 mins.
Operation 3 on Machine 3 duration 283 mins.
| Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 159 mins.
Job 3 Operation 0 duration 39 mins.
Job 6 Operation 0 duration 244 mins.
Job 7 Operation 0 duration 228 mins.
Job 0 Operation 1 duration 214 mins.
Job 2 Operation 1 duration 363 mins.
Job 4 Operation 1 duration 345 mins.
Job 5 Operation 2 duration 314 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 280 mins.
Job 4 Operation 0 duration 171 mins.
Job 1 Operation 1 duration 54 mins.
Job 5 Operation 1 duration 127 mins.
Job 7 Operation 1 duration 31 mins.
Job 2 Operation 2 duration 297 mins.
Job 3 Operation 3 duration 135 mins.
Job 6 Operation 3 duration 362 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 278 mins.
Job 1 Operation 2 duration 236 mins.
Job 3 Operation 2 duration 261 mins.
Job 4 Operation 2 duration 131 mins.
Job 6 Operation 2 duration 267 mins.
Job 7 Operation 2 duration 416 mins.
Job 0 Operation 3 duration 326 mins.
Job 5 Operation 3 duration 52 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 199 mins.
Job 3 Operation 1 duration 24 mins.
Job 6 Operation 1 duration 23 mins.
Job 0 Operation 2 duration 313 mins.
Job 1 Operation 3 duration 312 mins.
Job 2 Operation 3 duration 249 mins.
Job 4 Operation 3 duration 33 mins.
Job 7 Operation 3 duration 283 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 39 -> 39
Job 4 Operation 0 on Machine 1 : 0 + 171 -> 171
Job 2 Operation 0 on Machine 2 : 0 + 278 -> 278
Job 5 Operation 0 on Machine 3 : 0 + 199 -> 199
Job 1 Operation 0 on Machine 0 : 39 + 159 -> 198
Job 6 Operation 0 on Machine 0 : 198 + 244 -> 442
Job 1 Operation 1 on Machine 1 : 198 + 54 -> 252
Job 3 Operation 1 on Machine 3 : 199 + 24 -> 223
Job 0 Operation 0 on Machine 1 : 252 + 280 -> 532
Job 3 Operation 2 on Machine 2 : 278 + 261 -> 539
Job 7 Operation 0 on Machine 0 : 442 + 228 -> 670
Job 6 Operation 1 on Machine 3 : 442 + 23 -> 465
Job 3 Operation 3 on Machine 1 : 539 + 135 -> 674
Job 1 Operation 2 on Machine 2 : 539 + 236 -> 775
Job 0 Operation 1 on Machine 0 : 670 + 214 -> 884
Job 7 Operation 1 on Machine 1 : 674 + 31 -> 705
Job 5 Operation 1 on Machine 1 : 705 + 127 -> 832
Job 7 Operation 2 on Machine 2 : 775 + 416 -> 1191
Job 1 Operation 3 on Machine 3 : 775 + 312 -> 1087
Job 2 Operation 1 on Machine 0 : 884 + 363 -> 1247
Job 0 Operation 2 on Machine 3 : 1087 + 313 -> 1400
Job 6 Operation 2 on Machine 2 : 1191 + 267 -> 1458
Job 4 Operation 1 on Machine 0 : 1247 + 345 -> 1592
Job 2 Operation 2 on Machine 1 : 1247 + 297 -> 1544
Job 7 Operation 3 on Machine 3 : 1400 + 283 -> 1683
Job 0 Operation 3 on Machine 2 : 1458 + 326 -> 1784
Job 6 Operation 3 on Machine 1 : 1544 + 362 -> 1906
Job 5 Operation 2 on Machine 0 : 1592 + 314 -> 1906
Job 2 Operation 3 on Machine 3 : 1683 + 249 -> 1932
Job 4 Operation 2 on Machine 2 : 1784 + 131 -> 1915
Job 5 Operation 3 on Machine 2 : 1915 + 52 -> 1967
Job 4 Operation 3 on Machine 3 : 1932 + 33 -> 1965
Makespan: 1967.0, as it is the maximum end completion time of Operation 3 |
7 | 7 | Optimize schedule for 7 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 35 mins.
Operation 1 on Machine 6 duration 53 mins.
Operation 2 on Machine 1 duration 16 mins.
Operation 3 on Machine 3 duration 90 mins.
Operation 4 on Machine 4 duration 85 mins.
Operation 5 on Machine 2 duration 74 mins.
Operation 6 on Machine 5 duration 13 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 61 mins.
Operation 1 on Machine 5 duration 62 mins.
Operation 2 on Machine 4 duration 65 mins.
Operation 3 on Machine 2 duration 84 mins.
Operation 4 on Machine 1 duration 57 mins.
Operation 5 on Machine 6 duration 77 mins.
Operation 6 on Machine 3 duration 66 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 5 mins.
Operation 1 on Machine 4 duration 71 mins.
Operation 2 on Machine 5 duration 44 mins.
Operation 3 on Machine 6 duration 5 mins.
Operation 4 on Machine 1 duration 46 mins.
Operation 5 on Machine 3 duration 87 mins.
Operation 6 on Machine 2 duration 10 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 19 mins.
Operation 1 on Machine 0 duration 51 mins.
Operation 2 on Machine 6 duration 84 mins.
Operation 3 on Machine 2 duration 3 mins.
Operation 4 on Machine 1 duration 5 mins.
Operation 5 on Machine 5 duration 74 mins.
Operation 6 on Machine 4 duration 21 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 72 mins.
Operation 1 on Machine 1 duration 90 mins.
Operation 2 on Machine 0 duration 2 mins.
Operation 3 on Machine 6 duration 58 mins.
Operation 4 on Machine 5 duration 81 mins.
Operation 5 on Machine 2 duration 60 mins.
Operation 6 on Machine 4 duration 20 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 74 mins.
Operation 1 on Machine 0 duration 44 mins.
Operation 2 on Machine 2 duration 36 mins.
Operation 3 on Machine 5 duration 25 mins.
Operation 4 on Machine 1 duration 94 mins.
Operation 5 on Machine 6 duration 89 mins.
Operation 6 on Machine 4 duration 78 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 70 mins.
Operation 1 on Machine 2 duration 6 mins.
Operation 2 on Machine 6 duration 19 mins.
Operation 3 on Machine 5 duration 80 mins.
Operation 4 on Machine 1 duration 8 mins.
Operation 5 on Machine 0 duration 38 mins.
Operation 6 on Machine 4 duration 93 mins.
| Optimize schedule for 7 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 35 mins.
Job 1 Operation 0 duration 61 mins.
Job 2 Operation 0 duration 5 mins.
Job 3 Operation 1 duration 51 mins.
Job 5 Operation 1 duration 44 mins.
Job 4 Operation 2 duration 2 mins.
Job 6 Operation 5 duration 38 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 1 duration 90 mins.
Job 0 Operation 2 duration 16 mins.
Job 1 Operation 4 duration 57 mins.
Job 2 Operation 4 duration 46 mins.
Job 3 Operation 4 duration 5 mins.
Job 5 Operation 4 duration 94 mins.
Job 6 Operation 4 duration 8 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 1 duration 6 mins.
Job 5 Operation 2 duration 36 mins.
Job 1 Operation 3 duration 84 mins.
Job 3 Operation 3 duration 3 mins.
Job 0 Operation 5 duration 74 mins.
Job 4 Operation 5 duration 60 mins.
Job 2 Operation 6 duration 10 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 19 mins.
Job 4 Operation 0 duration 72 mins.
Job 5 Operation 0 duration 74 mins.
Job 6 Operation 0 duration 70 mins.
Job 0 Operation 3 duration 90 mins.
Job 2 Operation 5 duration 87 mins.
Job 1 Operation 6 duration 66 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 1 duration 71 mins.
Job 1 Operation 2 duration 65 mins.
Job 0 Operation 4 duration 85 mins.
Job 3 Operation 6 duration 21 mins.
Job 4 Operation 6 duration 20 mins.
Job 5 Operation 6 duration 78 mins.
Job 6 Operation 6 duration 93 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 1 duration 62 mins.
Job 2 Operation 2 duration 44 mins.
Job 5 Operation 3 duration 25 mins.
Job 6 Operation 3 duration 80 mins.
Job 4 Operation 4 duration 81 mins.
Job 3 Operation 5 duration 74 mins.
Job 0 Operation 6 duration 13 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 1 duration 53 mins.
Job 3 Operation 2 duration 84 mins.
Job 6 Operation 2 duration 19 mins.
Job 2 Operation 3 duration 5 mins.
Job 4 Operation 3 duration 58 mins.
Job 1 Operation 5 duration 77 mins.
Job 5 Operation 5 duration 89 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 5 -> 5
Job 6 Operation 0 on Machine 3 : 0 + 70 -> 70
Job 1 Operation 0 on Machine 0 : 5 + 61 -> 66
Job 2 Operation 1 on Machine 4 : 5 + 71 -> 76
Job 0 Operation 0 on Machine 0 : 66 + 35 -> 101
Job 1 Operation 1 on Machine 5 : 66 + 62 -> 128
Job 6 Operation 1 on Machine 2 : 70 + 6 -> 76
Job 4 Operation 0 on Machine 3 : 70 + 72 -> 142
Job 6 Operation 2 on Machine 6 : 76 + 19 -> 95
Job 0 Operation 1 on Machine 6 : 101 + 53 -> 154
Job 1 Operation 2 on Machine 4 : 128 + 65 -> 193
Job 6 Operation 3 on Machine 5 : 128 + 80 -> 208
Job 4 Operation 1 on Machine 1 : 142 + 90 -> 232
Job 3 Operation 0 on Machine 3 : 142 + 19 -> 161
Job 3 Operation 1 on Machine 0 : 161 + 51 -> 212
Job 5 Operation 0 on Machine 3 : 161 + 74 -> 235
Job 1 Operation 3 on Machine 2 : 193 + 84 -> 277
Job 2 Operation 2 on Machine 5 : 208 + 44 -> 252
Job 3 Operation 2 on Machine 6 : 212 + 84 -> 296
Job 4 Operation 2 on Machine 0 : 232 + 2 -> 234
Job 0 Operation 2 on Machine 1 : 232 + 16 -> 248
Job 5 Operation 1 on Machine 0 : 235 + 44 -> 279
Job 6 Operation 4 on Machine 1 : 248 + 8 -> 256
Job 0 Operation 3 on Machine 3 : 248 + 90 -> 338
Job 1 Operation 4 on Machine 1 : 277 + 57 -> 334
Job 6 Operation 5 on Machine 0 : 279 + 38 -> 317
Job 5 Operation 2 on Machine 2 : 279 + 36 -> 315
Job 4 Operation 3 on Machine 6 : 296 + 58 -> 354
Job 3 Operation 3 on Machine 2 : 315 + 3 -> 318
Job 5 Operation 3 on Machine 5 : 315 + 25 -> 340
Job 6 Operation 6 on Machine 4 : 317 + 93 -> 410
Job 3 Operation 4 on Machine 1 : 334 + 5 -> 339
Job 5 Operation 4 on Machine 1 : 340 + 94 -> 434
Job 4 Operation 4 on Machine 5 : 354 + 81 -> 435
Job 1 Operation 5 on Machine 6 : 354 + 77 -> 431
Job 0 Operation 4 on Machine 4 : 410 + 85 -> 495
Job 1 Operation 6 on Machine 3 : 431 + 66 -> 497
Job 2 Operation 3 on Machine 6 : 431 + 5 -> 436
Job 4 Operation 5 on Machine 2 : 435 + 60 -> 495
Job 3 Operation 5 on Machine 5 : 435 + 74 -> 509
Job 2 Operation 4 on Machine 1 : 436 + 46 -> 482
Job 5 Operation 5 on Machine 6 : 436 + 89 -> 525
Job 0 Operation 5 on Machine 2 : 495 + 74 -> 569
Job 4 Operation 6 on Machine 4 : 495 + 20 -> 515
Job 2 Operation 5 on Machine 3 : 497 + 87 -> 584
Job 3 Operation 6 on Machine 4 : 515 + 21 -> 536
Job 5 Operation 6 on Machine 4 : 536 + 78 -> 614
Job 0 Operation 6 on Machine 5 : 569 + 13 -> 582
Job 2 Operation 6 on Machine 2 : 584 + 10 -> 594
Makespan: 614.0, as it is the maximum end completion time of Operation 6 |
3 | 3 | Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 422 mins.
Operation 1 on Machine 2 duration 314 mins.
Operation 2 on Machine 0 duration 414 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 320 mins.
Operation 1 on Machine 0 duration 182 mins.
Operation 2 on Machine 1 duration 117 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 55 mins.
Operation 1 on Machine 1 duration 128 mins.
Operation 2 on Machine 2 duration 293 mins.
| Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 55 mins.
Job 1 Operation 1 duration 182 mins.
Job 0 Operation 2 duration 414 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 422 mins.
Job 2 Operation 1 duration 128 mins.
Job 1 Operation 2 duration 117 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 320 mins.
Job 0 Operation 1 duration 314 mins.
Job 2 Operation 2 duration 293 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 55 -> 55
Job 0 Operation 0 on Machine 1 : 0 + 422 -> 422
Job 1 Operation 0 on Machine 2 : 0 + 320 -> 320
Job 1 Operation 1 on Machine 0 : 320 + 182 -> 502
Job 2 Operation 1 on Machine 1 : 422 + 128 -> 550
Job 0 Operation 1 on Machine 2 : 422 + 314 -> 736
Job 1 Operation 2 on Machine 1 : 550 + 117 -> 667
Job 0 Operation 2 on Machine 0 : 736 + 414 -> 1150
Job 2 Operation 2 on Machine 2 : 736 + 293 -> 1029
Makespan: 1150.0, as it is the maximum end completion time of Operation 2 |
6 | 2 | Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 208 mins.
Operation 1 on Machine 0 duration 239 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 48 mins.
Operation 1 on Machine 1 duration 199 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 10 mins.
Operation 1 on Machine 1 duration 224 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 235 mins.
Operation 1 on Machine 1 duration 96 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 101 mins.
Operation 1 on Machine 1 duration 111 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 151 mins.
Operation 1 on Machine 0 duration 166 mins.
| Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 48 mins.
Job 2 Operation 0 duration 10 mins.
Job 3 Operation 0 duration 235 mins.
Job 4 Operation 0 duration 101 mins.
Job 0 Operation 1 duration 239 mins.
Job 5 Operation 1 duration 166 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 208 mins.
Job 5 Operation 0 duration 151 mins.
Job 1 Operation 1 duration 199 mins.
Job 2 Operation 1 duration 224 mins.
Job 3 Operation 1 duration 96 mins.
Job 4 Operation 1 duration 111 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 10 -> 10
Job 5 Operation 0 on Machine 1 : 0 + 151 -> 151
Job 1 Operation 0 on Machine 0 : 10 + 48 -> 58
Job 4 Operation 0 on Machine 0 : 58 + 101 -> 159
Job 1 Operation 1 on Machine 1 : 151 + 199 -> 350
Job 5 Operation 1 on Machine 0 : 159 + 166 -> 325
Job 3 Operation 0 on Machine 0 : 325 + 235 -> 560
Job 4 Operation 1 on Machine 1 : 350 + 111 -> 461
Job 0 Operation 0 on Machine 1 : 461 + 208 -> 669
Job 0 Operation 1 on Machine 0 : 669 + 239 -> 908
Job 3 Operation 1 on Machine 1 : 669 + 96 -> 765
Job 2 Operation 1 on Machine 1 : 765 + 224 -> 989
Makespan: 989.0, as it is the maximum end completion time of Operation 1 |
9 | 4 | Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 2 mins.
Operation 1 on Machine 2 duration 1 mins.
Operation 2 on Machine 1 duration 3 mins.
Operation 3 on Machine 3 duration 4 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 4 mins.
Operation 1 on Machine 2 duration 2 mins.
Operation 2 on Machine 1 duration 4 mins.
Operation 3 on Machine 0 duration 3 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 3 duration 3 mins.
Operation 2 on Machine 0 duration 1 mins.
Operation 3 on Machine 2 duration 4 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 1 mins.
Operation 1 on Machine 2 duration 2 mins.
Operation 2 on Machine 3 duration 4 mins.
Operation 3 on Machine 1 duration 3 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 1 mins.
Operation 1 on Machine 2 duration 4 mins.
Operation 2 on Machine 0 duration 3 mins.
Operation 3 on Machine 1 duration 2 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 1 mins.
Operation 1 on Machine 1 duration 3 mins.
Operation 2 on Machine 2 duration 4 mins.
Operation 3 on Machine 3 duration 2 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 2 mins.
Operation 1 on Machine 3 duration 1 mins.
Operation 2 on Machine 2 duration 1 mins.
Operation 3 on Machine 0 duration 2 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 2 mins.
Operation 1 on Machine 1 duration 4 mins.
Operation 2 on Machine 2 duration 1 mins.
Operation 3 on Machine 3 duration 1 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 3 mins.
Operation 1 on Machine 3 duration 1 mins.
Operation 2 on Machine 1 duration 4 mins.
Operation 3 on Machine 2 duration 2 mins.
| Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 2 mins.
Job 3 Operation 0 duration 1 mins.
Job 5 Operation 0 duration 1 mins.
Job 7 Operation 0 duration 2 mins.
Job 8 Operation 0 duration 3 mins.
Job 2 Operation 2 duration 1 mins.
Job 4 Operation 2 duration 3 mins.
Job 1 Operation 3 duration 3 mins.
Job 6 Operation 3 duration 2 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 3 mins.
Job 6 Operation 0 duration 2 mins.
Job 5 Operation 1 duration 3 mins.
Job 7 Operation 1 duration 4 mins.
Job 0 Operation 2 duration 3 mins.
Job 1 Operation 2 duration 4 mins.
Job 8 Operation 2 duration 4 mins.
Job 3 Operation 3 duration 3 mins.
Job 4 Operation 3 duration 2 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 1 mins.
Job 1 Operation 1 duration 2 mins.
Job 3 Operation 1 duration 2 mins.
Job 4 Operation 1 duration 4 mins.
Job 5 Operation 2 duration 4 mins.
Job 6 Operation 2 duration 1 mins.
Job 7 Operation 2 duration 1 mins.
Job 2 Operation 3 duration 4 mins.
Job 8 Operation 3 duration 2 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 4 mins.
Job 4 Operation 0 duration 1 mins.
Job 2 Operation 1 duration 3 mins.
Job 6 Operation 1 duration 1 mins.
Job 8 Operation 1 duration 1 mins.
Job 3 Operation 2 duration 4 mins.
Job 0 Operation 3 duration 4 mins.
Job 5 Operation 3 duration 2 mins.
Job 7 Operation 3 duration 1 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 1 -> 1
Job 2 Operation 0 on Machine 1 : 0 + 3 -> 3
Job 1 Operation 0 on Machine 3 : 0 + 4 -> 4
Job 5 Operation 0 on Machine 0 : 1 + 1 -> 2
Job 3 Operation 1 on Machine 2 : 1 + 2 -> 3
Job 0 Operation 0 on Machine 0 : 2 + 2 -> 4
Job 5 Operation 1 on Machine 1 : 3 + 3 -> 6
Job 8 Operation 0 on Machine 0 : 4 + 3 -> 7
Job 1 Operation 1 on Machine 2 : 4 + 2 -> 6
Job 2 Operation 1 on Machine 3 : 4 + 3 -> 7
Job 1 Operation 2 on Machine 1 : 6 + 4 -> 10
Job 0 Operation 1 on Machine 2 : 6 + 1 -> 7
Job 2 Operation 2 on Machine 0 : 7 + 1 -> 8
Job 8 Operation 1 on Machine 3 : 7 + 1 -> 8
Job 7 Operation 0 on Machine 0 : 8 + 2 -> 10
Job 2 Operation 3 on Machine 2 : 8 + 4 -> 12
Job 4 Operation 0 on Machine 3 : 8 + 1 -> 9
Job 3 Operation 2 on Machine 3 : 9 + 4 -> 13
Job 1 Operation 3 on Machine 0 : 10 + 3 -> 13
Job 0 Operation 2 on Machine 1 : 10 + 3 -> 13
Job 5 Operation 2 on Machine 2 : 12 + 4 -> 16
Job 7 Operation 1 on Machine 1 : 13 + 4 -> 17
Job 0 Operation 3 on Machine 3 : 13 + 4 -> 17
Job 3 Operation 3 on Machine 1 : 17 + 3 -> 20
Job 7 Operation 2 on Machine 2 : 17 + 1 -> 18
Job 4 Operation 1 on Machine 2 : 18 + 4 -> 22
Job 7 Operation 3 on Machine 3 : 18 + 1 -> 19
Job 5 Operation 3 on Machine 3 : 19 + 2 -> 21
Job 6 Operation 0 on Machine 1 : 20 + 2 -> 22
Job 4 Operation 2 on Machine 0 : 22 + 3 -> 25
Job 8 Operation 2 on Machine 1 : 22 + 4 -> 26
Job 6 Operation 1 on Machine 3 : 22 + 1 -> 23
Job 6 Operation 2 on Machine 2 : 23 + 1 -> 24
Job 6 Operation 3 on Machine 0 : 25 + 2 -> 27
Job 4 Operation 3 on Machine 1 : 26 + 2 -> 28
Job 8 Operation 3 on Machine 2 : 26 + 2 -> 28
Makespan: 28.0, as it is the maximum end completion time of Operation 3 |
9 | 2 | Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 125 mins.
Operation 1 on Machine 1 duration 110 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 38 mins.
Operation 1 on Machine 0 duration 81 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 142 mins.
Operation 1 on Machine 0 duration 86 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 15 mins.
Operation 1 on Machine 1 duration 158 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 146 mins.
Operation 1 on Machine 1 duration 93 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 184 mins.
Operation 1 on Machine 1 duration 37 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 170 mins.
Operation 1 on Machine 1 duration 10 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 31 mins.
Operation 1 on Machine 1 duration 78 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 15 mins.
Operation 1 on Machine 0 duration 22 mins.
| Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 125 mins.
Job 3 Operation 0 duration 15 mins.
Job 4 Operation 0 duration 146 mins.
Job 5 Operation 0 duration 184 mins.
Job 6 Operation 0 duration 170 mins.
Job 7 Operation 0 duration 31 mins.
Job 1 Operation 1 duration 81 mins.
Job 2 Operation 1 duration 86 mins.
Job 8 Operation 1 duration 22 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 38 mins.
Job 2 Operation 0 duration 142 mins.
Job 8 Operation 0 duration 15 mins.
Job 0 Operation 1 duration 110 mins.
Job 3 Operation 1 duration 158 mins.
Job 4 Operation 1 duration 93 mins.
Job 5 Operation 1 duration 37 mins.
Job 6 Operation 1 duration 10 mins.
Job 7 Operation 1 duration 78 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 15 -> 15
Job 8 Operation 0 on Machine 1 : 0 + 15 -> 15
Job 6 Operation 0 on Machine 0 : 15 + 170 -> 185
Job 3 Operation 1 on Machine 1 : 15 + 158 -> 173
Job 4 Operation 0 on Machine 0 : 185 + 146 -> 331
Job 6 Operation 1 on Machine 1 : 185 + 10 -> 195
Job 1 Operation 0 on Machine 1 : 195 + 38 -> 233
Job 8 Operation 1 on Machine 0 : 331 + 22 -> 353
Job 4 Operation 1 on Machine 1 : 331 + 93 -> 424
Job 7 Operation 0 on Machine 0 : 353 + 31 -> 384
Job 1 Operation 1 on Machine 0 : 384 + 81 -> 465
Job 7 Operation 1 on Machine 1 : 424 + 78 -> 502
Job 0 Operation 0 on Machine 0 : 465 + 125 -> 590
Job 2 Operation 0 on Machine 1 : 502 + 142 -> 644
Job 5 Operation 0 on Machine 0 : 590 + 184 -> 774
Job 0 Operation 1 on Machine 1 : 644 + 110 -> 754
Job 2 Operation 1 on Machine 0 : 774 + 86 -> 860
Job 5 Operation 1 on Machine 1 : 774 + 37 -> 811
Makespan: 860.0, as it is the maximum end completion time of Operation 1 |
6 | 4 | Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 110 mins.
Operation 1 on Machine 3 duration 104 mins.
Operation 2 on Machine 0 duration 229 mins.
Operation 3 on Machine 2 duration 320 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 173 mins.
Operation 1 on Machine 2 duration 340 mins.
Operation 2 on Machine 0 duration 235 mins.
Operation 3 on Machine 1 duration 302 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 399 mins.
Operation 1 on Machine 3 duration 299 mins.
Operation 2 on Machine 0 duration 104 mins.
Operation 3 on Machine 2 duration 332 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 144 mins.
Operation 1 on Machine 3 duration 404 mins.
Operation 2 on Machine 2 duration 320 mins.
Operation 3 on Machine 0 duration 62 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 28 mins.
Operation 1 on Machine 1 duration 443 mins.
Operation 2 on Machine 0 duration 80 mins.
Operation 3 on Machine 2 duration 362 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 8 mins.
Operation 1 on Machine 1 duration 23 mins.
Operation 2 on Machine 0 duration 353 mins.
Operation 3 on Machine 2 duration 337 mins.
| Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 2 duration 229 mins.
Job 1 Operation 2 duration 235 mins.
Job 2 Operation 2 duration 104 mins.
Job 4 Operation 2 duration 80 mins.
Job 5 Operation 2 duration 353 mins.
Job 3 Operation 3 duration 62 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 110 mins.
Job 2 Operation 0 duration 399 mins.
Job 3 Operation 0 duration 144 mins.
Job 4 Operation 1 duration 443 mins.
Job 5 Operation 1 duration 23 mins.
Job 1 Operation 3 duration 302 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 340 mins.
Job 3 Operation 2 duration 320 mins.
Job 0 Operation 3 duration 320 mins.
Job 2 Operation 3 duration 332 mins.
Job 4 Operation 3 duration 362 mins.
Job 5 Operation 3 duration 337 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 173 mins.
Job 4 Operation 0 duration 28 mins.
Job 5 Operation 0 duration 8 mins.
Job 0 Operation 1 duration 104 mins.
Job 2 Operation 1 duration 299 mins.
Job 3 Operation 1 duration 404 mins.
| Solution:
Job 0 Operation 0 on Machine 1 : 0 + 110 -> 110
Job 1 Operation 0 on Machine 3 : 0 + 173 -> 173
Job 3 Operation 0 on Machine 1 : 110 + 144 -> 254
Job 1 Operation 1 on Machine 2 : 173 + 340 -> 513
Job 0 Operation 1 on Machine 3 : 173 + 104 -> 277
Job 2 Operation 0 on Machine 1 : 254 + 399 -> 653
Job 0 Operation 2 on Machine 0 : 277 + 229 -> 506
Job 4 Operation 0 on Machine 3 : 277 + 28 -> 305
Job 3 Operation 1 on Machine 3 : 305 + 404 -> 709
Job 1 Operation 2 on Machine 0 : 513 + 235 -> 748
Job 0 Operation 3 on Machine 2 : 513 + 320 -> 833
Job 4 Operation 1 on Machine 1 : 653 + 443 -> 1096
Job 2 Operation 1 on Machine 3 : 709 + 299 -> 1008
Job 3 Operation 2 on Machine 2 : 833 + 320 -> 1153
Job 2 Operation 2 on Machine 0 : 1008 + 104 -> 1112
Job 5 Operation 0 on Machine 3 : 1008 + 8 -> 1016
Job 1 Operation 3 on Machine 1 : 1096 + 302 -> 1398
Job 3 Operation 3 on Machine 0 : 1153 + 62 -> 1215
Job 2 Operation 3 on Machine 2 : 1153 + 332 -> 1485
Job 4 Operation 2 on Machine 0 : 1215 + 80 -> 1295
Job 5 Operation 1 on Machine 1 : 1398 + 23 -> 1421
Job 5 Operation 2 on Machine 0 : 1421 + 353 -> 1774
Job 4 Operation 3 on Machine 2 : 1485 + 362 -> 1847
Job 5 Operation 3 on Machine 2 : 1847 + 337 -> 2184
Makespan: 2184.0, as it is the maximum end completion time of Operation 3 |
10 | 8 | Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 128 mins.
Operation 1 on Machine 2 duration 242 mins.
Operation 2 on Machine 3 duration 188 mins.
Operation 3 on Machine 0 duration 111 mins.
Operation 4 on Machine 5 duration 277 mins.
Operation 5 on Machine 4 duration 184 mins.
Operation 6 on Machine 7 duration 324 mins.
Operation 7 on Machine 1 duration 27 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 344 mins.
Operation 1 on Machine 7 duration 242 mins.
Operation 2 on Machine 1 duration 67 mins.
Operation 3 on Machine 6 duration 338 mins.
Operation 4 on Machine 4 duration 24 mins.
Operation 5 on Machine 2 duration 39 mins.
Operation 6 on Machine 0 duration 190 mins.
Operation 7 on Machine 5 duration 173 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 155 mins.
Operation 1 on Machine 5 duration 193 mins.
Operation 2 on Machine 6 duration 343 mins.
Operation 3 on Machine 3 duration 306 mins.
Operation 4 on Machine 4 duration 52 mins.
Operation 5 on Machine 1 duration 81 mins.
Operation 6 on Machine 0 duration 271 mins.
Operation 7 on Machine 2 duration 114 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 262 mins.
Operation 1 on Machine 2 duration 254 mins.
Operation 2 on Machine 0 duration 164 mins.
Operation 3 on Machine 3 duration 250 mins.
Operation 4 on Machine 6 duration 270 mins.
Operation 5 on Machine 5 duration 310 mins.
Operation 6 on Machine 1 duration 19 mins.
Operation 7 on Machine 7 duration 117 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 224 mins.
Operation 1 on Machine 3 duration 123 mins.
Operation 2 on Machine 4 duration 269 mins.
Operation 3 on Machine 2 duration 168 mins.
Operation 4 on Machine 6 duration 20 mins.
Operation 5 on Machine 7 duration 167 mins.
Operation 6 on Machine 1 duration 348 mins.
Operation 7 on Machine 5 duration 62 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 175 mins.
Operation 1 on Machine 2 duration 333 mins.
Operation 2 on Machine 6 duration 147 mins.
Operation 3 on Machine 3 duration 97 mins.
Operation 4 on Machine 4 duration 298 mins.
Operation 5 on Machine 7 duration 73 mins.
Operation 6 on Machine 5 duration 43 mins.
Operation 7 on Machine 1 duration 154 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 161 mins.
Operation 1 on Machine 2 duration 273 mins.
Operation 2 on Machine 4 duration 272 mins.
Operation 3 on Machine 0 duration 218 mins.
Operation 4 on Machine 1 duration 311 mins.
Operation 5 on Machine 7 duration 58 mins.
Operation 6 on Machine 6 duration 310 mins.
Operation 7 on Machine 3 duration 187 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 349 mins.
Operation 1 on Machine 0 duration 36 mins.
Operation 2 on Machine 3 duration 171 mins.
Operation 3 on Machine 5 duration 324 mins.
Operation 4 on Machine 6 duration 152 mins.
Operation 5 on Machine 7 duration 114 mins.
Operation 6 on Machine 1 duration 291 mins.
Operation 7 on Machine 2 duration 42 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 285 mins.
Operation 1 on Machine 7 duration 270 mins.
Operation 2 on Machine 5 duration 13 mins.
Operation 3 on Machine 1 duration 117 mins.
Operation 4 on Machine 4 duration 172 mins.
Operation 5 on Machine 3 duration 63 mins.
Operation 6 on Machine 2 duration 318 mins.
Operation 7 on Machine 6 duration 246 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 6 duration 227 mins.
Operation 1 on Machine 0 duration 334 mins.
Operation 2 on Machine 2 duration 115 mins.
Operation 3 on Machine 1 duration 215 mins.
Operation 4 on Machine 5 duration 125 mins.
Operation 5 on Machine 3 duration 114 mins.
Operation 6 on Machine 7 duration 246 mins.
Operation 7 on Machine 4 duration 334 mins.
| Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 224 mins.
Job 5 Operation 0 duration 175 mins.
Job 8 Operation 0 duration 285 mins.
Job 7 Operation 1 duration 36 mins.
Job 9 Operation 1 duration 334 mins.
Job 3 Operation 2 duration 164 mins.
Job 0 Operation 3 duration 111 mins.
Job 6 Operation 3 duration 218 mins.
Job 1 Operation 6 duration 190 mins.
Job 2 Operation 6 duration 271 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 2 duration 67 mins.
Job 8 Operation 3 duration 117 mins.
Job 9 Operation 3 duration 215 mins.
Job 6 Operation 4 duration 311 mins.
Job 2 Operation 5 duration 81 mins.
Job 3 Operation 6 duration 19 mins.
Job 4 Operation 6 duration 348 mins.
Job 7 Operation 6 duration 291 mins.
Job 0 Operation 7 duration 27 mins.
Job 5 Operation 7 duration 154 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 242 mins.
Job 3 Operation 1 duration 254 mins.
Job 5 Operation 1 duration 333 mins.
Job 6 Operation 1 duration 273 mins.
Job 9 Operation 2 duration 115 mins.
Job 4 Operation 3 duration 168 mins.
Job 1 Operation 5 duration 39 mins.
Job 8 Operation 6 duration 318 mins.
Job 2 Operation 7 duration 114 mins.
Job 7 Operation 7 duration 42 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 344 mins.
Job 4 Operation 1 duration 123 mins.
Job 0 Operation 2 duration 188 mins.
Job 7 Operation 2 duration 171 mins.
Job 2 Operation 3 duration 306 mins.
Job 3 Operation 3 duration 250 mins.
Job 5 Operation 3 duration 97 mins.
Job 8 Operation 5 duration 63 mins.
Job 9 Operation 5 duration 114 mins.
Job 6 Operation 7 duration 187 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 262 mins.
Job 7 Operation 0 duration 349 mins.
Job 4 Operation 2 duration 269 mins.
Job 6 Operation 2 duration 272 mins.
Job 1 Operation 4 duration 24 mins.
Job 2 Operation 4 duration 52 mins.
Job 5 Operation 4 duration 298 mins.
Job 8 Operation 4 duration 172 mins.
Job 0 Operation 5 duration 184 mins.
Job 9 Operation 7 duration 334 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 161 mins.
Job 2 Operation 1 duration 193 mins.
Job 8 Operation 2 duration 13 mins.
Job 7 Operation 3 duration 324 mins.
Job 0 Operation 4 duration 277 mins.
Job 9 Operation 4 duration 125 mins.
Job 3 Operation 5 duration 310 mins.
Job 5 Operation 6 duration 43 mins.
Job 1 Operation 7 duration 173 mins.
Job 4 Operation 7 duration 62 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 128 mins.
Job 9 Operation 0 duration 227 mins.
Job 2 Operation 2 duration 343 mins.
Job 5 Operation 2 duration 147 mins.
Job 1 Operation 3 duration 338 mins.
Job 3 Operation 4 duration 270 mins.
Job 4 Operation 4 duration 20 mins.
Job 7 Operation 4 duration 152 mins.
Job 6 Operation 6 duration 310 mins.
Job 8 Operation 7 duration 246 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 155 mins.
Job 1 Operation 1 duration 242 mins.
Job 8 Operation 1 duration 270 mins.
Job 4 Operation 5 duration 167 mins.
Job 5 Operation 5 duration 73 mins.
Job 6 Operation 5 duration 58 mins.
Job 7 Operation 5 duration 114 mins.
Job 0 Operation 6 duration 324 mins.
Job 9 Operation 6 duration 246 mins.
Job 3 Operation 7 duration 117 mins.
| Solution:
Job 8 Operation 0 on Machine 0 : 0 + 285 -> 285
Job 1 Operation 0 on Machine 3 : 0 + 344 -> 344
Job 7 Operation 0 on Machine 4 : 0 + 349 -> 349
Job 6 Operation 0 on Machine 5 : 0 + 161 -> 161
Job 0 Operation 0 on Machine 6 : 0 + 128 -> 128
Job 2 Operation 0 on Machine 7 : 0 + 155 -> 155
Job 0 Operation 1 on Machine 2 : 128 + 242 -> 370
Job 9 Operation 0 on Machine 6 : 128 + 227 -> 355
Job 2 Operation 1 on Machine 5 : 161 + 193 -> 354
Job 8 Operation 1 on Machine 7 : 285 + 270 -> 555
Job 7 Operation 1 on Machine 0 : 349 + 36 -> 385
Job 3 Operation 0 on Machine 4 : 349 + 262 -> 611
Job 2 Operation 2 on Machine 6 : 355 + 343 -> 698
Job 6 Operation 1 on Machine 2 : 370 + 273 -> 643
Job 9 Operation 1 on Machine 0 : 385 + 334 -> 719
Job 7 Operation 2 on Machine 3 : 385 + 171 -> 556
Job 8 Operation 2 on Machine 5 : 555 + 13 -> 568
Job 1 Operation 1 on Machine 7 : 555 + 242 -> 797
Job 0 Operation 2 on Machine 3 : 556 + 188 -> 744
Job 8 Operation 3 on Machine 1 : 568 + 117 -> 685
Job 7 Operation 3 on Machine 5 : 568 + 324 -> 892
Job 8 Operation 4 on Machine 4 : 685 + 172 -> 857
Job 4 Operation 0 on Machine 0 : 719 + 224 -> 943
Job 9 Operation 2 on Machine 2 : 719 + 115 -> 834
Job 2 Operation 3 on Machine 3 : 744 + 306 -> 1050
Job 1 Operation 2 on Machine 1 : 797 + 67 -> 864
Job 3 Operation 1 on Machine 2 : 834 + 254 -> 1088
Job 6 Operation 2 on Machine 4 : 857 + 272 -> 1129
Job 9 Operation 3 on Machine 1 : 864 + 215 -> 1079
Job 7 Operation 4 on Machine 6 : 892 + 152 -> 1044
Job 5 Operation 0 on Machine 0 : 943 + 175 -> 1118
Job 1 Operation 3 on Machine 6 : 1044 + 338 -> 1382
Job 7 Operation 5 on Machine 7 : 1044 + 114 -> 1158
Job 4 Operation 1 on Machine 3 : 1050 + 123 -> 1173
Job 9 Operation 4 on Machine 5 : 1079 + 125 -> 1204
Job 0 Operation 3 on Machine 0 : 1118 + 111 -> 1229
Job 5 Operation 1 on Machine 2 : 1118 + 333 -> 1451
Job 7 Operation 6 on Machine 1 : 1158 + 291 -> 1449
Job 4 Operation 2 on Machine 4 : 1173 + 269 -> 1442
Job 9 Operation 5 on Machine 3 : 1204 + 114 -> 1318
Job 3 Operation 2 on Machine 0 : 1229 + 164 -> 1393
Job 0 Operation 4 on Machine 5 : 1229 + 277 -> 1506
Job 9 Operation 6 on Machine 7 : 1318 + 246 -> 1564
Job 6 Operation 3 on Machine 0 : 1393 + 218 -> 1611
Job 3 Operation 3 on Machine 3 : 1393 + 250 -> 1643
Job 1 Operation 4 on Machine 4 : 1442 + 24 -> 1466
Job 5 Operation 2 on Machine 6 : 1451 + 147 -> 1598
Job 1 Operation 5 on Machine 2 : 1466 + 39 -> 1505
Job 2 Operation 4 on Machine 4 : 1466 + 52 -> 1518
Job 4 Operation 3 on Machine 2 : 1505 + 168 -> 1673
Job 2 Operation 5 on Machine 1 : 1518 + 81 -> 1599
Job 0 Operation 5 on Machine 4 : 1518 + 184 -> 1702
Job 1 Operation 6 on Machine 0 : 1611 + 190 -> 1801
Job 6 Operation 4 on Machine 1 : 1611 + 311 -> 1922
Job 5 Operation 3 on Machine 3 : 1643 + 97 -> 1740
Job 7 Operation 7 on Machine 2 : 1673 + 42 -> 1715
Job 4 Operation 4 on Machine 6 : 1673 + 20 -> 1693
Job 3 Operation 4 on Machine 6 : 1693 + 270 -> 1963
Job 4 Operation 5 on Machine 7 : 1693 + 167 -> 1860
Job 8 Operation 5 on Machine 3 : 1740 + 63 -> 1803
Job 5 Operation 4 on Machine 4 : 1740 + 298 -> 2038
Job 2 Operation 6 on Machine 0 : 1801 + 271 -> 2072
Job 1 Operation 7 on Machine 5 : 1801 + 173 -> 1974
Job 8 Operation 6 on Machine 2 : 1803 + 318 -> 2121
Job 4 Operation 6 on Machine 1 : 1922 + 348 -> 2270
Job 6 Operation 5 on Machine 7 : 1922 + 58 -> 1980
Job 3 Operation 5 on Machine 5 : 1974 + 310 -> 2284
Job 6 Operation 6 on Machine 6 : 1980 + 310 -> 2290
Job 9 Operation 7 on Machine 4 : 2038 + 334 -> 2372
Job 5 Operation 5 on Machine 7 : 2038 + 73 -> 2111
Job 0 Operation 6 on Machine 7 : 2111 + 324 -> 2435
Job 2 Operation 7 on Machine 2 : 2121 + 114 -> 2235
Job 3 Operation 6 on Machine 1 : 2284 + 19 -> 2303
Job 5 Operation 6 on Machine 5 : 2284 + 43 -> 2327
Job 6 Operation 7 on Machine 3 : 2290 + 187 -> 2477
Job 8 Operation 7 on Machine 6 : 2290 + 246 -> 2536
Job 5 Operation 7 on Machine 1 : 2327 + 154 -> 2481
Job 4 Operation 7 on Machine 5 : 2327 + 62 -> 2389
Job 3 Operation 7 on Machine 7 : 2435 + 117 -> 2552
Job 0 Operation 7 on Machine 1 : 2481 + 27 -> 2508
Makespan: 2552.0, as it is the maximum end completion time of Operation 7 |
4 | 4 | Optimize schedule for 4 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 15 mins.
Operation 1 on Machine 0 duration 83 mins.
Operation 2 on Machine 1 duration 2 mins.
Operation 3 on Machine 3 duration 84 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 48 mins.
Operation 1 on Machine 1 duration 38 mins.
Operation 2 on Machine 2 duration 75 mins.
Operation 3 on Machine 0 duration 40 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 77 mins.
Operation 1 on Machine 3 duration 12 mins.
Operation 2 on Machine 1 duration 43 mins.
Operation 3 on Machine 0 duration 94 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 47 mins.
Operation 1 on Machine 3 duration 98 mins.
Operation 2 on Machine 2 duration 88 mins.
Operation 3 on Machine 1 duration 28 mins.
| Optimize schedule for 4 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 47 mins.
Job 0 Operation 1 duration 83 mins.
Job 1 Operation 3 duration 40 mins.
Job 2 Operation 3 duration 94 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 38 mins.
Job 0 Operation 2 duration 2 mins.
Job 2 Operation 2 duration 43 mins.
Job 3 Operation 3 duration 28 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 15 mins.
Job 2 Operation 0 duration 77 mins.
Job 1 Operation 2 duration 75 mins.
Job 3 Operation 2 duration 88 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 48 mins.
Job 2 Operation 1 duration 12 mins.
Job 3 Operation 1 duration 98 mins.
Job 0 Operation 3 duration 84 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 47 -> 47
Job 0 Operation 0 on Machine 2 : 0 + 15 -> 15
Job 1 Operation 0 on Machine 3 : 0 + 48 -> 48
Job 2 Operation 0 on Machine 2 : 15 + 77 -> 92
Job 0 Operation 1 on Machine 0 : 47 + 83 -> 130
Job 1 Operation 1 on Machine 1 : 48 + 38 -> 86
Job 3 Operation 1 on Machine 3 : 48 + 98 -> 146
Job 1 Operation 2 on Machine 2 : 92 + 75 -> 167
Job 0 Operation 2 on Machine 1 : 130 + 2 -> 132
Job 2 Operation 1 on Machine 3 : 146 + 12 -> 158
Job 2 Operation 2 on Machine 1 : 158 + 43 -> 201
Job 0 Operation 3 on Machine 3 : 158 + 84 -> 242
Job 1 Operation 3 on Machine 0 : 167 + 40 -> 207
Job 3 Operation 2 on Machine 2 : 167 + 88 -> 255
Job 2 Operation 3 on Machine 0 : 207 + 94 -> 301
Job 3 Operation 3 on Machine 1 : 255 + 28 -> 283
Makespan: 301.0, as it is the maximum end completion time of Operation 3 |
7 | 5 | Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 130 mins.
Operation 1 on Machine 3 duration 91 mins.
Operation 2 on Machine 1 duration 4 mins.
Operation 3 on Machine 2 duration 30 mins.
Operation 4 on Machine 0 duration 68 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 17 mins.
Operation 1 on Machine 0 duration 100 mins.
Operation 2 on Machine 4 duration 32 mins.
Operation 3 on Machine 3 duration 15 mins.
Operation 4 on Machine 1 duration 115 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 57 mins.
Operation 1 on Machine 3 duration 78 mins.
Operation 2 on Machine 0 duration 150 mins.
Operation 3 on Machine 1 duration 14 mins.
Operation 4 on Machine 4 duration 26 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 112 mins.
Operation 1 on Machine 0 duration 52 mins.
Operation 2 on Machine 4 duration 110 mins.
Operation 3 on Machine 3 duration 120 mins.
Operation 4 on Machine 2 duration 22 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 71 mins.
Operation 1 on Machine 3 duration 132 mins.
Operation 2 on Machine 1 duration 4 mins.
Operation 3 on Machine 0 duration 40 mins.
Operation 4 on Machine 2 duration 110 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 96 mins.
Operation 1 on Machine 2 duration 105 mins.
Operation 2 on Machine 4 duration 144 mins.
Operation 3 on Machine 0 duration 51 mins.
Operation 4 on Machine 1 duration 48 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 12 mins.
Operation 1 on Machine 0 duration 35 mins.
Operation 2 on Machine 4 duration 141 mins.
Operation 3 on Machine 2 duration 70 mins.
Operation 4 on Machine 3 duration 95 mins.
| Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 100 mins.
Job 3 Operation 1 duration 52 mins.
Job 6 Operation 1 duration 35 mins.
Job 2 Operation 2 duration 150 mins.
Job 4 Operation 3 duration 40 mins.
Job 5 Operation 3 duration 51 mins.
Job 0 Operation 4 duration 68 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 112 mins.
Job 6 Operation 0 duration 12 mins.
Job 0 Operation 2 duration 4 mins.
Job 4 Operation 2 duration 4 mins.
Job 2 Operation 3 duration 14 mins.
Job 1 Operation 4 duration 115 mins.
Job 5 Operation 4 duration 48 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 17 mins.
Job 2 Operation 0 duration 57 mins.
Job 5 Operation 1 duration 105 mins.
Job 0 Operation 3 duration 30 mins.
Job 6 Operation 3 duration 70 mins.
Job 3 Operation 4 duration 22 mins.
Job 4 Operation 4 duration 110 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 96 mins.
Job 0 Operation 1 duration 91 mins.
Job 2 Operation 1 duration 78 mins.
Job 4 Operation 1 duration 132 mins.
Job 1 Operation 3 duration 15 mins.
Job 3 Operation 3 duration 120 mins.
Job 6 Operation 4 duration 95 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 130 mins.
Job 4 Operation 0 duration 71 mins.
Job 1 Operation 2 duration 32 mins.
Job 3 Operation 2 duration 110 mins.
Job 5 Operation 2 duration 144 mins.
Job 6 Operation 2 duration 141 mins.
Job 2 Operation 4 duration 26 mins.
| Solution:
Job 6 Operation 0 on Machine 1 : 0 + 12 -> 12
Job 1 Operation 0 on Machine 2 : 0 + 17 -> 17
Job 5 Operation 0 on Machine 3 : 0 + 96 -> 96
Job 0 Operation 0 on Machine 4 : 0 + 130 -> 130
Job 3 Operation 0 on Machine 1 : 12 + 112 -> 124
Job 1 Operation 1 on Machine 0 : 17 + 100 -> 117
Job 2 Operation 0 on Machine 2 : 17 + 57 -> 74
Job 5 Operation 1 on Machine 2 : 96 + 105 -> 201
Job 6 Operation 1 on Machine 0 : 117 + 35 -> 152
Job 0 Operation 1 on Machine 3 : 130 + 91 -> 221
Job 1 Operation 2 on Machine 4 : 130 + 32 -> 162
Job 3 Operation 1 on Machine 0 : 152 + 52 -> 204
Job 4 Operation 0 on Machine 4 : 162 + 71 -> 233
Job 0 Operation 2 on Machine 1 : 221 + 4 -> 225
Job 1 Operation 3 on Machine 3 : 221 + 15 -> 236
Job 0 Operation 3 on Machine 2 : 225 + 30 -> 255
Job 3 Operation 2 on Machine 4 : 233 + 110 -> 343
Job 1 Operation 4 on Machine 1 : 236 + 115 -> 351
Job 4 Operation 1 on Machine 3 : 236 + 132 -> 368
Job 0 Operation 4 on Machine 0 : 255 + 68 -> 323
Job 6 Operation 2 on Machine 4 : 343 + 141 -> 484
Job 4 Operation 2 on Machine 1 : 368 + 4 -> 372
Job 2 Operation 1 on Machine 3 : 368 + 78 -> 446
Job 4 Operation 3 on Machine 0 : 372 + 40 -> 412
Job 4 Operation 4 on Machine 2 : 412 + 110 -> 522
Job 2 Operation 2 on Machine 0 : 446 + 150 -> 596
Job 3 Operation 3 on Machine 3 : 446 + 120 -> 566
Job 5 Operation 2 on Machine 4 : 484 + 144 -> 628
Job 6 Operation 3 on Machine 2 : 522 + 70 -> 592
Job 3 Operation 4 on Machine 2 : 592 + 22 -> 614
Job 6 Operation 4 on Machine 3 : 592 + 95 -> 687
Job 2 Operation 3 on Machine 1 : 596 + 14 -> 610
Job 5 Operation 3 on Machine 0 : 628 + 51 -> 679
Job 2 Operation 4 on Machine 4 : 628 + 26 -> 654
Job 5 Operation 4 on Machine 1 : 679 + 48 -> 727
Makespan: 727.0, as it is the maximum end completion time of Operation 4 |
7 | 4 | Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 21 mins.
Operation 1 on Machine 1 duration 18 mins.
Operation 2 on Machine 0 duration 4 mins.
Operation 3 on Machine 3 duration 7 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 6 mins.
Operation 1 on Machine 2 duration 29 mins.
Operation 2 on Machine 3 duration 45 mins.
Operation 3 on Machine 0 duration 27 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 46 mins.
Operation 1 on Machine 1 duration 25 mins.
Operation 2 on Machine 3 duration 35 mins.
Operation 3 on Machine 0 duration 12 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 27 mins.
Operation 1 on Machine 1 duration 29 mins.
Operation 2 on Machine 3 duration 15 mins.
Operation 3 on Machine 0 duration 24 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 27 mins.
Operation 1 on Machine 3 duration 17 mins.
Operation 2 on Machine 2 duration 23 mins.
Operation 3 on Machine 1 duration 9 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 24 mins.
Operation 1 on Machine 1 duration 25 mins.
Operation 2 on Machine 0 duration 44 mins.
Operation 3 on Machine 3 duration 3 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 6 mins.
Operation 1 on Machine 2 duration 38 mins.
Operation 2 on Machine 3 duration 12 mins.
Operation 3 on Machine 1 duration 33 mins.
| Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 27 mins.
Job 6 Operation 0 duration 6 mins.
Job 0 Operation 2 duration 4 mins.
Job 5 Operation 2 duration 44 mins.
Job 1 Operation 3 duration 27 mins.
Job 2 Operation 3 duration 12 mins.
Job 3 Operation 3 duration 24 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 6 mins.
Job 0 Operation 1 duration 18 mins.
Job 2 Operation 1 duration 25 mins.
Job 3 Operation 1 duration 29 mins.
Job 5 Operation 1 duration 25 mins.
Job 4 Operation 3 duration 9 mins.
Job 6 Operation 3 duration 33 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 21 mins.
Job 2 Operation 0 duration 46 mins.
Job 3 Operation 0 duration 27 mins.
Job 5 Operation 0 duration 24 mins.
Job 1 Operation 1 duration 29 mins.
Job 6 Operation 1 duration 38 mins.
Job 4 Operation 2 duration 23 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 1 duration 17 mins.
Job 1 Operation 2 duration 45 mins.
Job 2 Operation 2 duration 35 mins.
Job 3 Operation 2 duration 15 mins.
Job 6 Operation 2 duration 12 mins.
Job 0 Operation 3 duration 7 mins.
Job 5 Operation 3 duration 3 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 27 -> 27
Job 1 Operation 0 on Machine 1 : 0 + 6 -> 6
Job 3 Operation 0 on Machine 2 : 0 + 27 -> 27
Job 6 Operation 0 on Machine 0 : 27 + 6 -> 33
Job 3 Operation 1 on Machine 1 : 27 + 29 -> 56
Job 1 Operation 1 on Machine 2 : 27 + 29 -> 56
Job 4 Operation 1 on Machine 3 : 27 + 17 -> 44
Job 5 Operation 0 on Machine 2 : 56 + 24 -> 80
Job 1 Operation 2 on Machine 3 : 56 + 45 -> 101
Job 5 Operation 1 on Machine 1 : 80 + 25 -> 105
Job 6 Operation 1 on Machine 2 : 80 + 38 -> 118
Job 1 Operation 3 on Machine 0 : 101 + 27 -> 128
Job 3 Operation 2 on Machine 3 : 101 + 15 -> 116
Job 2 Operation 0 on Machine 2 : 118 + 46 -> 164
Job 6 Operation 2 on Machine 3 : 118 + 12 -> 130
Job 5 Operation 2 on Machine 0 : 128 + 44 -> 172
Job 6 Operation 3 on Machine 1 : 130 + 33 -> 163
Job 2 Operation 1 on Machine 1 : 164 + 25 -> 189
Job 0 Operation 0 on Machine 2 : 164 + 21 -> 185
Job 3 Operation 3 on Machine 0 : 172 + 24 -> 196
Job 5 Operation 3 on Machine 3 : 172 + 3 -> 175
Job 4 Operation 2 on Machine 2 : 185 + 23 -> 208
Job 0 Operation 1 on Machine 1 : 189 + 18 -> 207
Job 2 Operation 2 on Machine 3 : 189 + 35 -> 224
Job 0 Operation 2 on Machine 0 : 207 + 4 -> 211
Job 4 Operation 3 on Machine 1 : 208 + 9 -> 217
Job 2 Operation 3 on Machine 0 : 224 + 12 -> 236
Job 0 Operation 3 on Machine 3 : 224 + 7 -> 231
Makespan: 236.0, as it is the maximum end completion time of Operation 3 |
9 | 9 | Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 27 mins.
Operation 1 on Machine 4 duration 220 mins.
Operation 2 on Machine 3 duration 240 mins.
Operation 3 on Machine 2 duration 212 mins.
Operation 4 on Machine 8 duration 77 mins.
Operation 5 on Machine 6 duration 268 mins.
Operation 6 on Machine 5 duration 62 mins.
Operation 7 on Machine 7 duration 231 mins.
Operation 8 on Machine 1 duration 204 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 194 mins.
Operation 1 on Machine 3 duration 155 mins.
Operation 2 on Machine 2 duration 123 mins.
Operation 3 on Machine 6 duration 225 mins.
Operation 4 on Machine 4 duration 157 mins.
Operation 5 on Machine 1 duration 265 mins.
Operation 6 on Machine 8 duration 271 mins.
Operation 7 on Machine 0 duration 228 mins.
Operation 8 on Machine 5 duration 116 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 249 mins.
Operation 1 on Machine 7 duration 171 mins.
Operation 2 on Machine 8 duration 135 mins.
Operation 3 on Machine 5 duration 20 mins.
Operation 4 on Machine 0 duration 5 mins.
Operation 5 on Machine 4 duration 102 mins.
Operation 6 on Machine 3 duration 188 mins.
Operation 7 on Machine 1 duration 241 mins.
Operation 8 on Machine 2 duration 41 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 156 mins.
Operation 1 on Machine 5 duration 60 mins.
Operation 2 on Machine 3 duration 182 mins.
Operation 3 on Machine 4 duration 83 mins.
Operation 4 on Machine 8 duration 103 mins.
Operation 5 on Machine 1 duration 82 mins.
Operation 6 on Machine 2 duration 198 mins.
Operation 7 on Machine 7 duration 68 mins.
Operation 8 on Machine 6 duration 100 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 42 mins.
Operation 1 on Machine 3 duration 258 mins.
Operation 2 on Machine 8 duration 57 mins.
Operation 3 on Machine 5 duration 269 mins.
Operation 4 on Machine 1 duration 26 mins.
Operation 5 on Machine 6 duration 53 mins.
Operation 6 on Machine 7 duration 197 mins.
Operation 7 on Machine 4 duration 205 mins.
Operation 8 on Machine 2 duration 31 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 122 mins.
Operation 1 on Machine 5 duration 64 mins.
Operation 2 on Machine 8 duration 136 mins.
Operation 3 on Machine 1 duration 266 mins.
Operation 4 on Machine 0 duration 74 mins.
Operation 5 on Machine 4 duration 25 mins.
Operation 6 on Machine 7 duration 83 mins.
Operation 7 on Machine 6 duration 33 mins.
Operation 8 on Machine 2 duration 9 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 226 mins.
Operation 1 on Machine 6 duration 155 mins.
Operation 2 on Machine 4 duration 238 mins.
Operation 3 on Machine 0 duration 88 mins.
Operation 4 on Machine 8 duration 99 mins.
Operation 5 on Machine 3 duration 226 mins.
Operation 6 on Machine 5 duration 93 mins.
Operation 7 on Machine 7 duration 103 mins.
Operation 8 on Machine 2 duration 47 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 8 duration 61 mins.
Operation 1 on Machine 4 duration 215 mins.
Operation 2 on Machine 0 duration 162 mins.
Operation 3 on Machine 1 duration 115 mins.
Operation 4 on Machine 2 duration 255 mins.
Operation 5 on Machine 7 duration 213 mins.
Operation 6 on Machine 5 duration 43 mins.
Operation 7 on Machine 3 duration 143 mins.
Operation 8 on Machine 6 duration 33 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 214 mins.
Operation 1 on Machine 1 duration 102 mins.
Operation 2 on Machine 2 duration 271 mins.
Operation 3 on Machine 7 duration 97 mins.
Operation 4 on Machine 6 duration 67 mins.
Operation 5 on Machine 0 duration 197 mins.
Operation 6 on Machine 8 duration 157 mins.
Operation 7 on Machine 3 duration 256 mins.
Operation 8 on Machine 5 duration 268 mins.
| Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 27 mins.
Job 3 Operation 0 duration 156 mins.
Job 4 Operation 0 duration 42 mins.
Job 7 Operation 2 duration 162 mins.
Job 6 Operation 3 duration 88 mins.
Job 2 Operation 4 duration 5 mins.
Job 5 Operation 4 duration 74 mins.
Job 8 Operation 5 duration 197 mins.
Job 1 Operation 7 duration 228 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 226 mins.
Job 8 Operation 1 duration 102 mins.
Job 5 Operation 3 duration 266 mins.
Job 7 Operation 3 duration 115 mins.
Job 4 Operation 4 duration 26 mins.
Job 1 Operation 5 duration 265 mins.
Job 3 Operation 5 duration 82 mins.
Job 2 Operation 7 duration 241 mins.
Job 0 Operation 8 duration 204 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 2 duration 123 mins.
Job 8 Operation 2 duration 271 mins.
Job 0 Operation 3 duration 212 mins.
Job 7 Operation 4 duration 255 mins.
Job 3 Operation 6 duration 198 mins.
Job 2 Operation 8 duration 41 mins.
Job 4 Operation 8 duration 31 mins.
Job 5 Operation 8 duration 9 mins.
Job 6 Operation 8 duration 47 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 122 mins.
Job 1 Operation 1 duration 155 mins.
Job 4 Operation 1 duration 258 mins.
Job 0 Operation 2 duration 240 mins.
Job 3 Operation 2 duration 182 mins.
Job 6 Operation 5 duration 226 mins.
Job 2 Operation 6 duration 188 mins.
Job 7 Operation 7 duration 143 mins.
Job 8 Operation 7 duration 256 mins.
Machine 4 is used for the following Operations:
Job 8 Operation 0 duration 214 mins.
Job 0 Operation 1 duration 220 mins.
Job 7 Operation 1 duration 215 mins.
Job 6 Operation 2 duration 238 mins.
Job 3 Operation 3 duration 83 mins.
Job 1 Operation 4 duration 157 mins.
Job 2 Operation 5 duration 102 mins.
Job 5 Operation 5 duration 25 mins.
Job 4 Operation 7 duration 205 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 1 duration 60 mins.
Job 5 Operation 1 duration 64 mins.
Job 2 Operation 3 duration 20 mins.
Job 4 Operation 3 duration 269 mins.
Job 0 Operation 6 duration 62 mins.
Job 6 Operation 6 duration 93 mins.
Job 7 Operation 6 duration 43 mins.
Job 1 Operation 8 duration 116 mins.
Job 8 Operation 8 duration 268 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 249 mins.
Job 6 Operation 1 duration 155 mins.
Job 1 Operation 3 duration 225 mins.
Job 8 Operation 4 duration 67 mins.
Job 0 Operation 5 duration 268 mins.
Job 4 Operation 5 duration 53 mins.
Job 5 Operation 7 duration 33 mins.
Job 3 Operation 8 duration 100 mins.
Job 7 Operation 8 duration 33 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 194 mins.
Job 2 Operation 1 duration 171 mins.
Job 8 Operation 3 duration 97 mins.
Job 7 Operation 5 duration 213 mins.
Job 4 Operation 6 duration 197 mins.
Job 5 Operation 6 duration 83 mins.
Job 0 Operation 7 duration 231 mins.
Job 3 Operation 7 duration 68 mins.
Job 6 Operation 7 duration 103 mins.
Machine 8 is used for the following Operations:
Job 7 Operation 0 duration 61 mins.
Job 2 Operation 2 duration 135 mins.
Job 4 Operation 2 duration 57 mins.
Job 5 Operation 2 duration 136 mins.
Job 0 Operation 4 duration 77 mins.
Job 3 Operation 4 duration 103 mins.
Job 6 Operation 4 duration 99 mins.
Job 1 Operation 6 duration 271 mins.
Job 8 Operation 6 duration 157 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 27 -> 27
Job 6 Operation 0 on Machine 1 : 0 + 226 -> 226
Job 5 Operation 0 on Machine 3 : 0 + 122 -> 122
Job 8 Operation 0 on Machine 4 : 0 + 214 -> 214
Job 2 Operation 0 on Machine 6 : 0 + 249 -> 249
Job 1 Operation 0 on Machine 7 : 0 + 194 -> 194
Job 7 Operation 0 on Machine 8 : 0 + 61 -> 61
Job 4 Operation 0 on Machine 0 : 27 + 42 -> 69
Job 3 Operation 0 on Machine 0 : 69 + 156 -> 225
Job 4 Operation 1 on Machine 3 : 122 + 258 -> 380
Job 5 Operation 1 on Machine 5 : 122 + 64 -> 186
Job 5 Operation 2 on Machine 8 : 186 + 136 -> 322
Job 0 Operation 1 on Machine 4 : 214 + 220 -> 434
Job 3 Operation 1 on Machine 5 : 225 + 60 -> 285
Job 8 Operation 1 on Machine 1 : 226 + 102 -> 328
Job 6 Operation 1 on Machine 6 : 249 + 155 -> 404
Job 2 Operation 1 on Machine 7 : 249 + 171 -> 420
Job 5 Operation 3 on Machine 1 : 328 + 266 -> 594
Job 8 Operation 2 on Machine 2 : 328 + 271 -> 599
Job 1 Operation 1 on Machine 3 : 380 + 155 -> 535
Job 2 Operation 2 on Machine 8 : 420 + 135 -> 555
Job 7 Operation 1 on Machine 4 : 434 + 215 -> 649
Job 0 Operation 2 on Machine 3 : 535 + 240 -> 775
Job 2 Operation 3 on Machine 5 : 555 + 20 -> 575
Job 4 Operation 2 on Machine 8 : 555 + 57 -> 612
Job 2 Operation 4 on Machine 0 : 575 + 5 -> 580
Job 5 Operation 4 on Machine 0 : 594 + 74 -> 668
Job 1 Operation 2 on Machine 2 : 599 + 123 -> 722
Job 8 Operation 3 on Machine 7 : 599 + 97 -> 696
Job 4 Operation 3 on Machine 5 : 612 + 269 -> 881
Job 2 Operation 5 on Machine 4 : 649 + 102 -> 751
Job 7 Operation 2 on Machine 0 : 668 + 162 -> 830
Job 8 Operation 4 on Machine 6 : 696 + 67 -> 763
Job 6 Operation 2 on Machine 4 : 751 + 238 -> 989
Job 1 Operation 3 on Machine 6 : 763 + 225 -> 988
Job 0 Operation 3 on Machine 2 : 775 + 212 -> 987
Job 3 Operation 2 on Machine 3 : 775 + 182 -> 957
Job 8 Operation 5 on Machine 0 : 830 + 197 -> 1027
Job 7 Operation 3 on Machine 1 : 830 + 115 -> 945
Job 4 Operation 4 on Machine 1 : 945 + 26 -> 971
Job 2 Operation 6 on Machine 3 : 957 + 188 -> 1145
Job 7 Operation 4 on Machine 2 : 987 + 255 -> 1242
Job 0 Operation 4 on Machine 8 : 987 + 77 -> 1064
Job 4 Operation 5 on Machine 6 : 988 + 53 -> 1041
Job 1 Operation 4 on Machine 4 : 989 + 157 -> 1146
Job 6 Operation 3 on Machine 0 : 1027 + 88 -> 1115
Job 4 Operation 6 on Machine 7 : 1041 + 197 -> 1238
Job 0 Operation 5 on Machine 6 : 1064 + 268 -> 1332
Job 8 Operation 6 on Machine 8 : 1064 + 157 -> 1221
Job 1 Operation 5 on Machine 1 : 1146 + 265 -> 1411
Job 5 Operation 5 on Machine 4 : 1146 + 25 -> 1171
Job 3 Operation 3 on Machine 4 : 1171 + 83 -> 1254
Job 8 Operation 7 on Machine 3 : 1221 + 256 -> 1477
Job 6 Operation 4 on Machine 8 : 1221 + 99 -> 1320
Job 7 Operation 5 on Machine 7 : 1242 + 213 -> 1455
Job 4 Operation 7 on Machine 4 : 1254 + 205 -> 1459
Job 3 Operation 4 on Machine 8 : 1320 + 103 -> 1423
Job 0 Operation 6 on Machine 5 : 1332 + 62 -> 1394
Job 3 Operation 5 on Machine 1 : 1423 + 82 -> 1505
Job 1 Operation 6 on Machine 8 : 1423 + 271 -> 1694
Job 7 Operation 6 on Machine 5 : 1455 + 43 -> 1498
Job 5 Operation 6 on Machine 7 : 1455 + 83 -> 1538
Job 6 Operation 5 on Machine 3 : 1477 + 226 -> 1703
Job 8 Operation 8 on Machine 5 : 1498 + 268 -> 1766
Job 2 Operation 7 on Machine 1 : 1505 + 241 -> 1746
Job 3 Operation 6 on Machine 2 : 1505 + 198 -> 1703
Job 5 Operation 7 on Machine 6 : 1538 + 33 -> 1571
Job 0 Operation 7 on Machine 7 : 1538 + 231 -> 1769
Job 1 Operation 7 on Machine 0 : 1694 + 228 -> 1922
Job 5 Operation 8 on Machine 2 : 1703 + 9 -> 1712
Job 7 Operation 7 on Machine 3 : 1703 + 143 -> 1846
Job 4 Operation 8 on Machine 2 : 1712 + 31 -> 1743
Job 2 Operation 8 on Machine 2 : 1746 + 41 -> 1787
Job 6 Operation 6 on Machine 5 : 1766 + 93 -> 1859
Job 0 Operation 8 on Machine 1 : 1769 + 204 -> 1973
Job 3 Operation 7 on Machine 7 : 1769 + 68 -> 1837
Job 3 Operation 8 on Machine 6 : 1837 + 100 -> 1937
Job 6 Operation 7 on Machine 7 : 1859 + 103 -> 1962
Job 1 Operation 8 on Machine 5 : 1922 + 116 -> 2038
Job 7 Operation 8 on Machine 6 : 1937 + 33 -> 1970
Job 6 Operation 8 on Machine 2 : 1962 + 47 -> 2009
Makespan: 2038.0, as it is the maximum end completion time of Operation 8 |
5 | 4 | Optimize schedule for 5 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 197 mins.
Operation 1 on Machine 0 duration 395 mins.
Operation 2 on Machine 3 duration 411 mins.
Operation 3 on Machine 2 duration 386 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 31 mins.
Operation 1 on Machine 1 duration 363 mins.
Operation 2 on Machine 0 duration 200 mins.
Operation 3 on Machine 3 duration 356 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 55 mins.
Operation 1 on Machine 2 duration 15 mins.
Operation 2 on Machine 1 duration 184 mins.
Operation 3 on Machine 3 duration 161 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 287 mins.
Operation 1 on Machine 3 duration 6 mins.
Operation 2 on Machine 0 duration 187 mins.
Operation 3 on Machine 1 duration 246 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 321 mins.
Operation 1 on Machine 1 duration 406 mins.
Operation 2 on Machine 3 duration 219 mins.
Operation 3 on Machine 2 duration 228 mins.
| Optimize schedule for 5 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 55 mins.
Job 4 Operation 0 duration 321 mins.
Job 0 Operation 1 duration 395 mins.
Job 1 Operation 2 duration 200 mins.
Job 3 Operation 2 duration 187 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 197 mins.
Job 1 Operation 1 duration 363 mins.
Job 4 Operation 1 duration 406 mins.
Job 2 Operation 2 duration 184 mins.
Job 3 Operation 3 duration 246 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 31 mins.
Job 3 Operation 0 duration 287 mins.
Job 2 Operation 1 duration 15 mins.
Job 0 Operation 3 duration 386 mins.
Job 4 Operation 3 duration 228 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 1 duration 6 mins.
Job 0 Operation 2 duration 411 mins.
Job 4 Operation 2 duration 219 mins.
Job 1 Operation 3 duration 356 mins.
Job 2 Operation 3 duration 161 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 55 -> 55
Job 0 Operation 0 on Machine 1 : 0 + 197 -> 197
Job 1 Operation 0 on Machine 2 : 0 + 31 -> 31
Job 4 Operation 0 on Machine 0 : 55 + 321 -> 376
Job 2 Operation 1 on Machine 2 : 55 + 15 -> 70
Job 3 Operation 0 on Machine 2 : 70 + 287 -> 357
Job 2 Operation 2 on Machine 1 : 197 + 184 -> 381
Job 3 Operation 1 on Machine 3 : 357 + 6 -> 363
Job 0 Operation 1 on Machine 0 : 376 + 395 -> 771
Job 1 Operation 1 on Machine 1 : 381 + 363 -> 744
Job 2 Operation 3 on Machine 3 : 381 + 161 -> 542
Job 4 Operation 1 on Machine 1 : 744 + 406 -> 1150
Job 3 Operation 2 on Machine 0 : 771 + 187 -> 958
Job 0 Operation 2 on Machine 3 : 771 + 411 -> 1182
Job 1 Operation 2 on Machine 0 : 958 + 200 -> 1158
Job 3 Operation 3 on Machine 1 : 1150 + 246 -> 1396
Job 0 Operation 3 on Machine 2 : 1182 + 386 -> 1568
Job 4 Operation 2 on Machine 3 : 1182 + 219 -> 1401
Job 1 Operation 3 on Machine 3 : 1401 + 356 -> 1757
Job 4 Operation 3 on Machine 2 : 1568 + 228 -> 1796
Makespan: 1796.0, as it is the maximum end completion time of Operation 3 |
10 | 7 | Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 189 mins.
Operation 1 on Machine 2 duration 32 mins.
Operation 2 on Machine 6 duration 103 mins.
Operation 3 on Machine 3 duration 283 mins.
Operation 4 on Machine 4 duration 92 mins.
Operation 5 on Machine 5 duration 214 mins.
Operation 6 on Machine 0 duration 127 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 228 mins.
Operation 1 on Machine 1 duration 193 mins.
Operation 2 on Machine 3 duration 90 mins.
Operation 3 on Machine 2 duration 143 mins.
Operation 4 on Machine 6 duration 35 mins.
Operation 5 on Machine 4 duration 39 mins.
Operation 6 on Machine 5 duration 251 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 255 mins.
Operation 1 on Machine 4 duration 215 mins.
Operation 2 on Machine 3 duration 289 mins.
Operation 3 on Machine 2 duration 88 mins.
Operation 4 on Machine 1 duration 140 mins.
Operation 5 on Machine 6 duration 68 mins.
Operation 6 on Machine 5 duration 278 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 125 mins.
Operation 1 on Machine 0 duration 268 mins.
Operation 2 on Machine 3 duration 163 mins.
Operation 3 on Machine 4 duration 88 mins.
Operation 4 on Machine 1 duration 148 mins.
Operation 5 on Machine 2 duration 31 mins.
Operation 6 on Machine 5 duration 82 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 104 mins.
Operation 1 on Machine 5 duration 51 mins.
Operation 2 on Machine 4 duration 193 mins.
Operation 3 on Machine 0 duration 155 mins.
Operation 4 on Machine 1 duration 272 mins.
Operation 5 on Machine 2 duration 252 mins.
Operation 6 on Machine 3 duration 292 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 96 mins.
Operation 1 on Machine 1 duration 89 mins.
Operation 2 on Machine 3 duration 57 mins.
Operation 3 on Machine 2 duration 73 mins.
Operation 4 on Machine 4 duration 113 mins.
Operation 5 on Machine 6 duration 141 mins.
Operation 6 on Machine 5 duration 263 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 59 mins.
Operation 1 on Machine 3 duration 239 mins.
Operation 2 on Machine 4 duration 229 mins.
Operation 3 on Machine 0 duration 172 mins.
Operation 4 on Machine 6 duration 165 mins.
Operation 5 on Machine 5 duration 85 mins.
Operation 6 on Machine 2 duration 21 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 98 mins.
Operation 1 on Machine 5 duration 44 mins.
Operation 2 on Machine 1 duration 102 mins.
Operation 3 on Machine 2 duration 61 mins.
Operation 4 on Machine 4 duration 61 mins.
Operation 5 on Machine 3 duration 16 mins.
Operation 6 on Machine 6 duration 110 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 254 mins.
Operation 1 on Machine 3 duration 5 mins.
Operation 2 on Machine 2 duration 236 mins.
Operation 3 on Machine 5 duration 193 mins.
Operation 4 on Machine 4 duration 82 mins.
Operation 5 on Machine 6 duration 193 mins.
Operation 6 on Machine 1 duration 279 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 47 mins.
Operation 1 on Machine 6 duration 6 mins.
Operation 2 on Machine 2 duration 51 mins.
Operation 3 on Machine 5 duration 11 mins.
Operation 4 on Machine 4 duration 158 mins.
Operation 5 on Machine 0 duration 257 mins.
Operation 6 on Machine 3 duration 227 mins.
| Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 228 mins.
Job 2 Operation 0 duration 255 mins.
Job 5 Operation 0 duration 96 mins.
Job 7 Operation 0 duration 98 mins.
Job 8 Operation 0 duration 254 mins.
Job 3 Operation 1 duration 268 mins.
Job 4 Operation 3 duration 155 mins.
Job 6 Operation 3 duration 172 mins.
Job 9 Operation 5 duration 257 mins.
Job 0 Operation 6 duration 127 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 189 mins.
Job 6 Operation 0 duration 59 mins.
Job 9 Operation 0 duration 47 mins.
Job 1 Operation 1 duration 193 mins.
Job 5 Operation 1 duration 89 mins.
Job 7 Operation 2 duration 102 mins.
Job 2 Operation 4 duration 140 mins.
Job 3 Operation 4 duration 148 mins.
Job 4 Operation 4 duration 272 mins.
Job 8 Operation 6 duration 279 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 32 mins.
Job 8 Operation 2 duration 236 mins.
Job 9 Operation 2 duration 51 mins.
Job 1 Operation 3 duration 143 mins.
Job 2 Operation 3 duration 88 mins.
Job 5 Operation 3 duration 73 mins.
Job 7 Operation 3 duration 61 mins.
Job 3 Operation 5 duration 31 mins.
Job 4 Operation 5 duration 252 mins.
Job 6 Operation 6 duration 21 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 1 duration 239 mins.
Job 8 Operation 1 duration 5 mins.
Job 1 Operation 2 duration 90 mins.
Job 2 Operation 2 duration 289 mins.
Job 3 Operation 2 duration 163 mins.
Job 5 Operation 2 duration 57 mins.
Job 0 Operation 3 duration 283 mins.
Job 7 Operation 5 duration 16 mins.
Job 4 Operation 6 duration 292 mins.
Job 9 Operation 6 duration 227 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 1 duration 215 mins.
Job 4 Operation 2 duration 193 mins.
Job 6 Operation 2 duration 229 mins.
Job 3 Operation 3 duration 88 mins.
Job 0 Operation 4 duration 92 mins.
Job 5 Operation 4 duration 113 mins.
Job 7 Operation 4 duration 61 mins.
Job 8 Operation 4 duration 82 mins.
Job 9 Operation 4 duration 158 mins.
Job 1 Operation 5 duration 39 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 1 duration 51 mins.
Job 7 Operation 1 duration 44 mins.
Job 8 Operation 3 duration 193 mins.
Job 9 Operation 3 duration 11 mins.
Job 0 Operation 5 duration 214 mins.
Job 6 Operation 5 duration 85 mins.
Job 1 Operation 6 duration 251 mins.
Job 2 Operation 6 duration 278 mins.
Job 3 Operation 6 duration 82 mins.
Job 5 Operation 6 duration 263 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 125 mins.
Job 4 Operation 0 duration 104 mins.
Job 9 Operation 1 duration 6 mins.
Job 0 Operation 2 duration 103 mins.
Job 1 Operation 4 duration 35 mins.
Job 6 Operation 4 duration 165 mins.
Job 2 Operation 5 duration 68 mins.
Job 5 Operation 5 duration 141 mins.
Job 8 Operation 5 duration 193 mins.
Job 7 Operation 6 duration 110 mins.
| Solution:
Job 8 Operation 0 on Machine 0 : 0 + 254 -> 254
Job 6 Operation 0 on Machine 1 : 0 + 59 -> 59
Job 4 Operation 0 on Machine 6 : 0 + 104 -> 104
Job 0 Operation 0 on Machine 1 : 59 + 189 -> 248
Job 6 Operation 1 on Machine 3 : 59 + 239 -> 298
Job 4 Operation 1 on Machine 5 : 104 + 51 -> 155
Job 4 Operation 2 on Machine 4 : 155 + 193 -> 348
Job 9 Operation 0 on Machine 1 : 248 + 47 -> 295
Job 0 Operation 1 on Machine 2 : 248 + 32 -> 280
Job 2 Operation 0 on Machine 0 : 254 + 255 -> 509
Job 0 Operation 2 on Machine 6 : 280 + 103 -> 383
Job 8 Operation 1 on Machine 3 : 298 + 5 -> 303
Job 8 Operation 2 on Machine 2 : 303 + 236 -> 539
Job 0 Operation 3 on Machine 3 : 383 + 283 -> 666
Job 3 Operation 0 on Machine 6 : 383 + 125 -> 508
Job 9 Operation 1 on Machine 6 : 508 + 6 -> 514
Job 5 Operation 0 on Machine 0 : 509 + 96 -> 605
Job 2 Operation 1 on Machine 4 : 509 + 215 -> 724
Job 9 Operation 2 on Machine 2 : 539 + 51 -> 590
Job 8 Operation 3 on Machine 5 : 539 + 193 -> 732
Job 1 Operation 0 on Machine 0 : 605 + 228 -> 833
Job 5 Operation 1 on Machine 1 : 605 + 89 -> 694
Job 5 Operation 2 on Machine 3 : 694 + 57 -> 751
Job 0 Operation 4 on Machine 4 : 724 + 92 -> 816
Job 9 Operation 3 on Machine 5 : 732 + 11 -> 743
Job 5 Operation 3 on Machine 2 : 751 + 73 -> 824
Job 2 Operation 2 on Machine 3 : 751 + 289 -> 1040
Job 0 Operation 5 on Machine 5 : 816 + 214 -> 1030
Job 5 Operation 4 on Machine 4 : 824 + 113 -> 937
Job 4 Operation 3 on Machine 0 : 833 + 155 -> 988
Job 1 Operation 1 on Machine 1 : 833 + 193 -> 1026
Job 6 Operation 2 on Machine 4 : 937 + 229 -> 1166
Job 5 Operation 5 on Machine 6 : 937 + 141 -> 1078
Job 7 Operation 0 on Machine 0 : 988 + 98 -> 1086
Job 4 Operation 4 on Machine 1 : 1026 + 272 -> 1298
Job 2 Operation 3 on Machine 2 : 1040 + 88 -> 1128
Job 1 Operation 2 on Machine 3 : 1040 + 90 -> 1130
Job 5 Operation 6 on Machine 5 : 1078 + 263 -> 1341
Job 3 Operation 1 on Machine 0 : 1086 + 268 -> 1354
Job 1 Operation 3 on Machine 2 : 1130 + 143 -> 1273
Job 9 Operation 4 on Machine 4 : 1166 + 158 -> 1324
Job 1 Operation 4 on Machine 6 : 1273 + 35 -> 1308
Job 2 Operation 4 on Machine 1 : 1298 + 140 -> 1438
Job 4 Operation 5 on Machine 2 : 1298 + 252 -> 1550
Job 1 Operation 5 on Machine 4 : 1324 + 39 -> 1363
Job 7 Operation 1 on Machine 5 : 1341 + 44 -> 1385
Job 6 Operation 3 on Machine 0 : 1354 + 172 -> 1526
Job 3 Operation 2 on Machine 3 : 1354 + 163 -> 1517
Job 8 Operation 4 on Machine 4 : 1363 + 82 -> 1445
Job 1 Operation 6 on Machine 5 : 1385 + 251 -> 1636
Job 7 Operation 2 on Machine 1 : 1438 + 102 -> 1540
Job 2 Operation 5 on Machine 6 : 1438 + 68 -> 1506
Job 8 Operation 5 on Machine 6 : 1506 + 193 -> 1699
Job 3 Operation 3 on Machine 4 : 1517 + 88 -> 1605
Job 9 Operation 5 on Machine 0 : 1526 + 257 -> 1783
Job 7 Operation 3 on Machine 2 : 1550 + 61 -> 1611
Job 4 Operation 6 on Machine 3 : 1550 + 292 -> 1842
Job 3 Operation 4 on Machine 1 : 1605 + 148 -> 1753
Job 7 Operation 4 on Machine 4 : 1611 + 61 -> 1672
Job 2 Operation 6 on Machine 5 : 1636 + 278 -> 1914
Job 6 Operation 4 on Machine 6 : 1699 + 165 -> 1864
Job 8 Operation 6 on Machine 1 : 1753 + 279 -> 2032
Job 3 Operation 5 on Machine 2 : 1753 + 31 -> 1784
Job 0 Operation 6 on Machine 0 : 1783 + 127 -> 1910
Job 7 Operation 5 on Machine 3 : 1842 + 16 -> 1858
Job 9 Operation 6 on Machine 3 : 1858 + 227 -> 2085
Job 7 Operation 6 on Machine 6 : 1864 + 110 -> 1974
Job 6 Operation 5 on Machine 5 : 1914 + 85 -> 1999
Job 6 Operation 6 on Machine 2 : 1999 + 21 -> 2020
Job 3 Operation 6 on Machine 5 : 1999 + 82 -> 2081
Makespan: 2085.0, as it is the maximum end completion time of Operation 6 |
8 | 3 | Optimize schedule for 8 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 47 mins.
Operation 1 on Machine 0 duration 86 mins.
Operation 2 on Machine 1 duration 359 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 270 mins.
Operation 1 on Machine 1 duration 290 mins.
Operation 2 on Machine 2 duration 280 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 222 mins.
Operation 1 on Machine 0 duration 353 mins.
Operation 2 on Machine 1 duration 17 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 301 mins.
Operation 1 on Machine 2 duration 293 mins.
Operation 2 on Machine 0 duration 9 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 89 mins.
Operation 1 on Machine 0 duration 363 mins.
Operation 2 on Machine 2 duration 250 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 409 mins.
Operation 1 on Machine 1 duration 173 mins.
Operation 2 on Machine 2 duration 206 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 106 mins.
Operation 1 on Machine 2 duration 409 mins.
Operation 2 on Machine 1 duration 248 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 397 mins.
Operation 1 on Machine 0 duration 223 mins.
Operation 2 on Machine 1 duration 367 mins.
| Optimize schedule for 8 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 270 mins.
Job 5 Operation 0 duration 409 mins.
Job 6 Operation 0 duration 106 mins.
Job 0 Operation 1 duration 86 mins.
Job 2 Operation 1 duration 353 mins.
Job 4 Operation 1 duration 363 mins.
Job 7 Operation 1 duration 223 mins.
Job 3 Operation 2 duration 9 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 301 mins.
Job 4 Operation 0 duration 89 mins.
Job 1 Operation 1 duration 290 mins.
Job 5 Operation 1 duration 173 mins.
Job 0 Operation 2 duration 359 mins.
Job 2 Operation 2 duration 17 mins.
Job 6 Operation 2 duration 248 mins.
Job 7 Operation 2 duration 367 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 47 mins.
Job 2 Operation 0 duration 222 mins.
Job 7 Operation 0 duration 397 mins.
Job 3 Operation 1 duration 293 mins.
Job 6 Operation 1 duration 409 mins.
Job 1 Operation 2 duration 280 mins.
Job 4 Operation 2 duration 250 mins.
Job 5 Operation 2 duration 206 mins.
| Solution:
Job 3 Operation 0 on Machine 1 : 0 + 301 -> 301
Job 0 Operation 0 on Machine 2 : 0 + 47 -> 47
Job 0 Operation 1 on Machine 0 : 47 + 86 -> 133
Job 2 Operation 0 on Machine 2 : 47 + 222 -> 269
Job 6 Operation 0 on Machine 0 : 133 + 106 -> 239
Job 1 Operation 0 on Machine 0 : 239 + 270 -> 509
Job 6 Operation 1 on Machine 2 : 269 + 409 -> 678
Job 0 Operation 2 on Machine 1 : 301 + 359 -> 660
Job 5 Operation 0 on Machine 0 : 509 + 409 -> 918
Job 6 Operation 2 on Machine 1 : 678 + 248 -> 926
Job 3 Operation 1 on Machine 2 : 678 + 293 -> 971
Job 4 Operation 0 on Machine 1 : 926 + 89 -> 1015
Job 3 Operation 2 on Machine 0 : 971 + 9 -> 980
Job 7 Operation 0 on Machine 2 : 971 + 397 -> 1368
Job 4 Operation 1 on Machine 0 : 1015 + 363 -> 1378
Job 5 Operation 1 on Machine 1 : 1015 + 173 -> 1188
Job 1 Operation 1 on Machine 1 : 1188 + 290 -> 1478
Job 5 Operation 2 on Machine 2 : 1368 + 206 -> 1574
Job 7 Operation 1 on Machine 0 : 1378 + 223 -> 1601
Job 4 Operation 2 on Machine 2 : 1574 + 250 -> 1824
Job 2 Operation 1 on Machine 0 : 1601 + 353 -> 1954
Job 7 Operation 2 on Machine 1 : 1601 + 367 -> 1968
Job 1 Operation 2 on Machine 2 : 1824 + 280 -> 2104
Job 2 Operation 2 on Machine 1 : 1968 + 17 -> 1985
Makespan: 2104.0, as it is the maximum end completion time of Operation 2 |
9 | 6 | Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 196 mins.
Operation 1 on Machine 4 duration 2 mins.
Operation 2 on Machine 5 duration 465 mins.
Operation 3 on Machine 1 duration 106 mins.
Operation 4 on Machine 3 duration 389 mins.
Operation 5 on Machine 0 duration 23 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 81 mins.
Operation 1 on Machine 5 duration 356 mins.
Operation 2 on Machine 4 duration 387 mins.
Operation 3 on Machine 3 duration 240 mins.
Operation 4 on Machine 1 duration 183 mins.
Operation 5 on Machine 0 duration 294 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 426 mins.
Operation 1 on Machine 4 duration 95 mins.
Operation 2 on Machine 1 duration 334 mins.
Operation 3 on Machine 0 duration 301 mins.
Operation 4 on Machine 3 duration 153 mins.
Operation 5 on Machine 5 duration 401 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 17 mins.
Operation 1 on Machine 3 duration 123 mins.
Operation 2 on Machine 5 duration 431 mins.
Operation 3 on Machine 1 duration 344 mins.
Operation 4 on Machine 2 duration 112 mins.
Operation 5 on Machine 4 duration 231 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 24 mins.
Operation 1 on Machine 0 duration 360 mins.
Operation 2 on Machine 4 duration 42 mins.
Operation 3 on Machine 1 duration 211 mins.
Operation 4 on Machine 5 duration 259 mins.
Operation 5 on Machine 3 duration 414 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 453 mins.
Operation 1 on Machine 1 duration 203 mins.
Operation 2 on Machine 5 duration 261 mins.
Operation 3 on Machine 4 duration 302 mins.
Operation 4 on Machine 3 duration 368 mins.
Operation 5 on Machine 0 duration 446 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 429 mins.
Operation 1 on Machine 1 duration 131 mins.
Operation 2 on Machine 5 duration 12 mins.
Operation 3 on Machine 3 duration 132 mins.
Operation 4 on Machine 2 duration 373 mins.
Operation 5 on Machine 0 duration 443 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 467 mins.
Operation 1 on Machine 5 duration 109 mins.
Operation 2 on Machine 2 duration 425 mins.
Operation 3 on Machine 0 duration 177 mins.
Operation 4 on Machine 1 duration 397 mins.
Operation 5 on Machine 3 duration 430 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 80 mins.
Operation 1 on Machine 4 duration 229 mins.
Operation 2 on Machine 1 duration 48 mins.
Operation 3 on Machine 2 duration 104 mins.
Operation 4 on Machine 3 duration 416 mins.
Operation 5 on Machine 5 duration 418 mins.
| Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 17 mins.
Job 8 Operation 0 duration 80 mins.
Job 4 Operation 1 duration 360 mins.
Job 2 Operation 3 duration 301 mins.
Job 7 Operation 3 duration 177 mins.
Job 0 Operation 5 duration 23 mins.
Job 1 Operation 5 duration 294 mins.
Job 5 Operation 5 duration 446 mins.
Job 6 Operation 5 duration 443 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 1 duration 203 mins.
Job 6 Operation 1 duration 131 mins.
Job 2 Operation 2 duration 334 mins.
Job 8 Operation 2 duration 48 mins.
Job 0 Operation 3 duration 106 mins.
Job 3 Operation 3 duration 344 mins.
Job 4 Operation 3 duration 211 mins.
Job 1 Operation 4 duration 183 mins.
Job 7 Operation 4 duration 397 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 196 mins.
Job 1 Operation 0 duration 81 mins.
Job 2 Operation 0 duration 426 mins.
Job 4 Operation 0 duration 24 mins.
Job 5 Operation 0 duration 453 mins.
Job 7 Operation 2 duration 425 mins.
Job 8 Operation 3 duration 104 mins.
Job 3 Operation 4 duration 112 mins.
Job 6 Operation 4 duration 373 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 1 duration 123 mins.
Job 1 Operation 3 duration 240 mins.
Job 6 Operation 3 duration 132 mins.
Job 0 Operation 4 duration 389 mins.
Job 2 Operation 4 duration 153 mins.
Job 5 Operation 4 duration 368 mins.
Job 8 Operation 4 duration 416 mins.
Job 4 Operation 5 duration 414 mins.
Job 7 Operation 5 duration 430 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 429 mins.
Job 7 Operation 0 duration 467 mins.
Job 0 Operation 1 duration 2 mins.
Job 2 Operation 1 duration 95 mins.
Job 8 Operation 1 duration 229 mins.
Job 1 Operation 2 duration 387 mins.
Job 4 Operation 2 duration 42 mins.
Job 5 Operation 3 duration 302 mins.
Job 3 Operation 5 duration 231 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 1 duration 356 mins.
Job 7 Operation 1 duration 109 mins.
Job 0 Operation 2 duration 465 mins.
Job 3 Operation 2 duration 431 mins.
Job 5 Operation 2 duration 261 mins.
Job 6 Operation 2 duration 12 mins.
Job 4 Operation 4 duration 259 mins.
Job 2 Operation 5 duration 401 mins.
Job 8 Operation 5 duration 418 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 17 -> 17
Job 1 Operation 0 on Machine 2 : 0 + 81 -> 81
Job 6 Operation 0 on Machine 4 : 0 + 429 -> 429
Job 8 Operation 0 on Machine 0 : 17 + 80 -> 97
Job 3 Operation 1 on Machine 3 : 17 + 123 -> 140
Job 0 Operation 0 on Machine 2 : 81 + 196 -> 277
Job 3 Operation 2 on Machine 5 : 140 + 431 -> 571
Job 4 Operation 0 on Machine 2 : 277 + 24 -> 301
Job 4 Operation 1 on Machine 0 : 301 + 360 -> 661
Job 2 Operation 0 on Machine 2 : 301 + 426 -> 727
Job 6 Operation 1 on Machine 1 : 429 + 131 -> 560
Job 8 Operation 1 on Machine 4 : 429 + 229 -> 658
Job 6 Operation 2 on Machine 5 : 571 + 12 -> 583
Job 6 Operation 3 on Machine 3 : 583 + 132 -> 715
Job 1 Operation 1 on Machine 5 : 583 + 356 -> 939
Job 8 Operation 2 on Machine 1 : 658 + 48 -> 706
Job 0 Operation 1 on Machine 4 : 658 + 2 -> 660
Job 4 Operation 2 on Machine 4 : 661 + 42 -> 703
Job 4 Operation 3 on Machine 1 : 706 + 211 -> 917
Job 8 Operation 3 on Machine 2 : 727 + 104 -> 831
Job 2 Operation 1 on Machine 4 : 727 + 95 -> 822
Job 7 Operation 0 on Machine 4 : 822 + 467 -> 1289
Job 5 Operation 0 on Machine 2 : 831 + 453 -> 1284
Job 8 Operation 4 on Machine 3 : 831 + 416 -> 1247
Job 2 Operation 2 on Machine 1 : 917 + 334 -> 1251
Job 4 Operation 4 on Machine 5 : 939 + 259 -> 1198
Job 4 Operation 5 on Machine 3 : 1247 + 414 -> 1661
Job 2 Operation 3 on Machine 0 : 1251 + 301 -> 1552
Job 5 Operation 1 on Machine 1 : 1284 + 203 -> 1487
Job 6 Operation 4 on Machine 2 : 1284 + 373 -> 1657
Job 1 Operation 2 on Machine 4 : 1289 + 387 -> 1676
Job 7 Operation 1 on Machine 5 : 1289 + 109 -> 1398
Job 3 Operation 3 on Machine 1 : 1487 + 344 -> 1831
Job 5 Operation 2 on Machine 5 : 1487 + 261 -> 1748
Job 6 Operation 5 on Machine 0 : 1657 + 443 -> 2100
Job 7 Operation 2 on Machine 2 : 1657 + 425 -> 2082
Job 2 Operation 4 on Machine 3 : 1661 + 153 -> 1814
Job 5 Operation 3 on Machine 4 : 1748 + 302 -> 2050
Job 0 Operation 2 on Machine 5 : 1748 + 465 -> 2213
Job 1 Operation 3 on Machine 3 : 1814 + 240 -> 2054
Job 1 Operation 4 on Machine 1 : 2054 + 183 -> 2237
Job 5 Operation 4 on Machine 3 : 2054 + 368 -> 2422
Job 3 Operation 4 on Machine 2 : 2082 + 112 -> 2194
Job 7 Operation 3 on Machine 0 : 2100 + 177 -> 2277
Job 3 Operation 5 on Machine 4 : 2194 + 231 -> 2425
Job 8 Operation 5 on Machine 5 : 2213 + 418 -> 2631
Job 0 Operation 3 on Machine 1 : 2237 + 106 -> 2343
Job 1 Operation 5 on Machine 0 : 2277 + 294 -> 2571
Job 7 Operation 4 on Machine 1 : 2343 + 397 -> 2740
Job 0 Operation 4 on Machine 3 : 2422 + 389 -> 2811
Job 5 Operation 5 on Machine 0 : 2571 + 446 -> 3017
Job 2 Operation 5 on Machine 5 : 2631 + 401 -> 3032
Job 7 Operation 5 on Machine 3 : 2811 + 430 -> 3241
Job 0 Operation 5 on Machine 0 : 3017 + 23 -> 3040
Makespan: 3241.0, as it is the maximum end completion time of Operation 5 |
8 | 2 | Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 66 mins.
Operation 1 on Machine 1 duration 233 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 246 mins.
Operation 1 on Machine 1 duration 279 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 77 mins.
Operation 1 on Machine 1 duration 74 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 99 mins.
Operation 1 on Machine 1 duration 191 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 19 mins.
Operation 1 on Machine 1 duration 90 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 106 mins.
Operation 1 on Machine 1 duration 73 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 21 mins.
Operation 1 on Machine 1 duration 194 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 198 mins.
Operation 1 on Machine 1 duration 278 mins.
| Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 66 mins.
Job 1 Operation 0 duration 246 mins.
Job 2 Operation 0 duration 77 mins.
Job 3 Operation 0 duration 99 mins.
Job 4 Operation 0 duration 19 mins.
Job 5 Operation 0 duration 106 mins.
Job 6 Operation 0 duration 21 mins.
Job 7 Operation 0 duration 198 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 233 mins.
Job 1 Operation 1 duration 279 mins.
Job 2 Operation 1 duration 74 mins.
Job 3 Operation 1 duration 191 mins.
Job 4 Operation 1 duration 90 mins.
Job 5 Operation 1 duration 73 mins.
Job 6 Operation 1 duration 194 mins.
Job 7 Operation 1 duration 278 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 19 -> 19
Job 6 Operation 0 on Machine 0 : 19 + 21 -> 40
Job 4 Operation 1 on Machine 1 : 19 + 90 -> 109
Job 0 Operation 0 on Machine 0 : 40 + 66 -> 106
Job 2 Operation 0 on Machine 0 : 106 + 77 -> 183
Job 6 Operation 1 on Machine 1 : 109 + 194 -> 303
Job 3 Operation 0 on Machine 0 : 183 + 99 -> 282
Job 5 Operation 0 on Machine 0 : 282 + 106 -> 388
Job 2 Operation 1 on Machine 1 : 303 + 74 -> 377
Job 3 Operation 1 on Machine 1 : 377 + 191 -> 568
Job 7 Operation 0 on Machine 0 : 388 + 198 -> 586
Job 5 Operation 1 on Machine 1 : 568 + 73 -> 641
Job 1 Operation 0 on Machine 0 : 586 + 246 -> 832
Job 0 Operation 1 on Machine 1 : 641 + 233 -> 874
Job 7 Operation 1 on Machine 1 : 874 + 278 -> 1152
Job 1 Operation 1 on Machine 1 : 1152 + 279 -> 1431
Makespan: 1431.0, as it is the maximum end completion time of Operation 1 |
7 | 5 | Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 446 mins.
Operation 1 on Machine 3 duration 321 mins.
Operation 2 on Machine 1 duration 245 mins.
Operation 3 on Machine 0 duration 173 mins.
Operation 4 on Machine 4 duration 26 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 337 mins.
Operation 1 on Machine 4 duration 35 mins.
Operation 2 on Machine 2 duration 97 mins.
Operation 3 on Machine 0 duration 147 mins.
Operation 4 on Machine 1 duration 377 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 43 mins.
Operation 1 on Machine 4 duration 76 mins.
Operation 2 on Machine 3 duration 432 mins.
Operation 3 on Machine 1 duration 319 mins.
Operation 4 on Machine 2 duration 143 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 354 mins.
Operation 1 on Machine 4 duration 270 mins.
Operation 2 on Machine 2 duration 137 mins.
Operation 3 on Machine 1 duration 27 mins.
Operation 4 on Machine 3 duration 180 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 325 mins.
Operation 1 on Machine 1 duration 306 mins.
Operation 2 on Machine 0 duration 85 mins.
Operation 3 on Machine 4 duration 126 mins.
Operation 4 on Machine 2 duration 165 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 424 mins.
Operation 1 on Machine 1 duration 289 mins.
Operation 2 on Machine 3 duration 232 mins.
Operation 3 on Machine 2 duration 9 mins.
Operation 4 on Machine 4 duration 203 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 14 mins.
Operation 1 on Machine 0 duration 142 mins.
Operation 2 on Machine 2 duration 340 mins.
Operation 3 on Machine 3 duration 358 mins.
Operation 4 on Machine 1 duration 264 mins.
| Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 43 mins.
Job 3 Operation 0 duration 354 mins.
Job 5 Operation 0 duration 424 mins.
Job 6 Operation 1 duration 142 mins.
Job 4 Operation 2 duration 85 mins.
Job 0 Operation 3 duration 173 mins.
Job 1 Operation 3 duration 147 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 1 duration 306 mins.
Job 5 Operation 1 duration 289 mins.
Job 0 Operation 2 duration 245 mins.
Job 2 Operation 3 duration 319 mins.
Job 3 Operation 3 duration 27 mins.
Job 1 Operation 4 duration 377 mins.
Job 6 Operation 4 duration 264 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 446 mins.
Job 1 Operation 2 duration 97 mins.
Job 3 Operation 2 duration 137 mins.
Job 6 Operation 2 duration 340 mins.
Job 5 Operation 3 duration 9 mins.
Job 2 Operation 4 duration 143 mins.
Job 4 Operation 4 duration 165 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 337 mins.
Job 4 Operation 0 duration 325 mins.
Job 0 Operation 1 duration 321 mins.
Job 2 Operation 2 duration 432 mins.
Job 5 Operation 2 duration 232 mins.
Job 6 Operation 3 duration 358 mins.
Job 3 Operation 4 duration 180 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 14 mins.
Job 1 Operation 1 duration 35 mins.
Job 2 Operation 1 duration 76 mins.
Job 3 Operation 1 duration 270 mins.
Job 4 Operation 3 duration 126 mins.
Job 0 Operation 4 duration 26 mins.
Job 5 Operation 4 duration 203 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 43 -> 43
Job 0 Operation 0 on Machine 2 : 0 + 446 -> 446
Job 4 Operation 0 on Machine 3 : 0 + 325 -> 325
Job 6 Operation 0 on Machine 4 : 0 + 14 -> 14
Job 5 Operation 0 on Machine 0 : 43 + 424 -> 467
Job 2 Operation 1 on Machine 4 : 43 + 76 -> 119
Job 4 Operation 1 on Machine 1 : 325 + 306 -> 631
Job 1 Operation 0 on Machine 3 : 325 + 337 -> 662
Job 3 Operation 0 on Machine 0 : 467 + 354 -> 821
Job 5 Operation 1 on Machine 1 : 631 + 289 -> 920
Job 0 Operation 1 on Machine 3 : 662 + 321 -> 983
Job 1 Operation 1 on Machine 4 : 662 + 35 -> 697
Job 1 Operation 2 on Machine 2 : 697 + 97 -> 794
Job 6 Operation 1 on Machine 0 : 821 + 142 -> 963
Job 3 Operation 1 on Machine 4 : 821 + 270 -> 1091
Job 4 Operation 2 on Machine 0 : 963 + 85 -> 1048
Job 6 Operation 2 on Machine 2 : 963 + 340 -> 1303
Job 0 Operation 2 on Machine 1 : 983 + 245 -> 1228
Job 2 Operation 2 on Machine 3 : 983 + 432 -> 1415
Job 1 Operation 3 on Machine 0 : 1048 + 147 -> 1195
Job 4 Operation 3 on Machine 4 : 1091 + 126 -> 1217
Job 0 Operation 3 on Machine 0 : 1228 + 173 -> 1401
Job 1 Operation 4 on Machine 1 : 1228 + 377 -> 1605
Job 3 Operation 2 on Machine 2 : 1303 + 137 -> 1440
Job 0 Operation 4 on Machine 4 : 1401 + 26 -> 1427
Job 6 Operation 3 on Machine 3 : 1415 + 358 -> 1773
Job 4 Operation 4 on Machine 2 : 1440 + 165 -> 1605
Job 3 Operation 3 on Machine 1 : 1605 + 27 -> 1632
Job 2 Operation 3 on Machine 1 : 1632 + 319 -> 1951
Job 5 Operation 2 on Machine 3 : 1773 + 232 -> 2005
Job 6 Operation 4 on Machine 1 : 1951 + 264 -> 2215
Job 5 Operation 3 on Machine 2 : 2005 + 9 -> 2014
Job 3 Operation 4 on Machine 3 : 2005 + 180 -> 2185
Job 2 Operation 4 on Machine 2 : 2014 + 143 -> 2157
Job 5 Operation 4 on Machine 4 : 2014 + 203 -> 2217
Makespan: 2217.0, as it is the maximum end completion time of Operation 4 |
8 | 5 | Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 120 mins.
Operation 1 on Machine 3 duration 157 mins.
Operation 2 on Machine 4 duration 97 mins.
Operation 3 on Machine 0 duration 143 mins.
Operation 4 on Machine 2 duration 19 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 21 mins.
Operation 1 on Machine 2 duration 72 mins.
Operation 2 on Machine 4 duration 114 mins.
Operation 3 on Machine 3 duration 154 mins.
Operation 4 on Machine 0 duration 118 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 73 mins.
Operation 1 on Machine 3 duration 80 mins.
Operation 2 on Machine 1 duration 41 mins.
Operation 3 on Machine 4 duration 88 mins.
Operation 4 on Machine 2 duration 146 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 82 mins.
Operation 1 on Machine 1 duration 11 mins.
Operation 2 on Machine 2 duration 45 mins.
Operation 3 on Machine 3 duration 56 mins.
Operation 4 on Machine 0 duration 78 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 122 mins.
Operation 1 on Machine 0 duration 132 mins.
Operation 2 on Machine 3 duration 158 mins.
Operation 3 on Machine 4 duration 124 mins.
Operation 4 on Machine 2 duration 151 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 103 mins.
Operation 1 on Machine 2 duration 58 mins.
Operation 2 on Machine 0 duration 120 mins.
Operation 3 on Machine 3 duration 14 mins.
Operation 4 on Machine 1 duration 50 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 100 mins.
Operation 1 on Machine 2 duration 8 mins.
Operation 2 on Machine 3 duration 38 mins.
Operation 3 on Machine 4 duration 49 mins.
Operation 4 on Machine 0 duration 54 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 56 mins.
Operation 1 on Machine 2 duration 27 mins.
Operation 2 on Machine 3 duration 28 mins.
Operation 3 on Machine 0 duration 37 mins.
Operation 4 on Machine 1 duration 57 mins.
| Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 73 mins.
Job 4 Operation 1 duration 132 mins.
Job 5 Operation 2 duration 120 mins.
Job 0 Operation 3 duration 143 mins.
Job 7 Operation 3 duration 37 mins.
Job 1 Operation 4 duration 118 mins.
Job 3 Operation 4 duration 78 mins.
Job 6 Operation 4 duration 54 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 120 mins.
Job 1 Operation 0 duration 21 mins.
Job 4 Operation 0 duration 122 mins.
Job 6 Operation 0 duration 100 mins.
Job 3 Operation 1 duration 11 mins.
Job 2 Operation 2 duration 41 mins.
Job 5 Operation 4 duration 50 mins.
Job 7 Operation 4 duration 57 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 72 mins.
Job 5 Operation 1 duration 58 mins.
Job 6 Operation 1 duration 8 mins.
Job 7 Operation 1 duration 27 mins.
Job 3 Operation 2 duration 45 mins.
Job 0 Operation 4 duration 19 mins.
Job 2 Operation 4 duration 146 mins.
Job 4 Operation 4 duration 151 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 157 mins.
Job 2 Operation 1 duration 80 mins.
Job 4 Operation 2 duration 158 mins.
Job 6 Operation 2 duration 38 mins.
Job 7 Operation 2 duration 28 mins.
Job 1 Operation 3 duration 154 mins.
Job 3 Operation 3 duration 56 mins.
Job 5 Operation 3 duration 14 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 82 mins.
Job 5 Operation 0 duration 103 mins.
Job 7 Operation 0 duration 56 mins.
Job 0 Operation 2 duration 97 mins.
Job 1 Operation 2 duration 114 mins.
Job 2 Operation 3 duration 88 mins.
Job 4 Operation 3 duration 124 mins.
Job 6 Operation 3 duration 49 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 73 -> 73
Job 1 Operation 0 on Machine 1 : 0 + 21 -> 21
Job 5 Operation 0 on Machine 4 : 0 + 103 -> 103
Job 0 Operation 0 on Machine 1 : 21 + 120 -> 141
Job 1 Operation 1 on Machine 2 : 21 + 72 -> 93
Job 2 Operation 1 on Machine 3 : 73 + 80 -> 153
Job 5 Operation 1 on Machine 2 : 103 + 58 -> 161
Job 3 Operation 0 on Machine 4 : 103 + 82 -> 185
Job 4 Operation 0 on Machine 1 : 141 + 122 -> 263
Job 0 Operation 1 on Machine 3 : 153 + 157 -> 310
Job 5 Operation 2 on Machine 0 : 161 + 120 -> 281
Job 7 Operation 0 on Machine 4 : 185 + 56 -> 241
Job 7 Operation 1 on Machine 2 : 241 + 27 -> 268
Job 1 Operation 2 on Machine 4 : 241 + 114 -> 355
Job 3 Operation 1 on Machine 1 : 263 + 11 -> 274
Job 6 Operation 0 on Machine 1 : 274 + 100 -> 374
Job 3 Operation 2 on Machine 2 : 274 + 45 -> 319
Job 4 Operation 1 on Machine 0 : 281 + 132 -> 413
Job 7 Operation 2 on Machine 3 : 310 + 28 -> 338
Job 3 Operation 3 on Machine 3 : 338 + 56 -> 394
Job 0 Operation 2 on Machine 4 : 355 + 97 -> 452
Job 2 Operation 2 on Machine 1 : 374 + 41 -> 415
Job 6 Operation 1 on Machine 2 : 374 + 8 -> 382
Job 6 Operation 2 on Machine 3 : 394 + 38 -> 432
Job 7 Operation 3 on Machine 0 : 413 + 37 -> 450
Job 4 Operation 2 on Machine 3 : 432 + 158 -> 590
Job 7 Operation 4 on Machine 1 : 450 + 57 -> 507
Job 0 Operation 3 on Machine 0 : 452 + 143 -> 595
Job 2 Operation 3 on Machine 4 : 452 + 88 -> 540
Job 2 Operation 4 on Machine 2 : 540 + 146 -> 686
Job 6 Operation 3 on Machine 4 : 540 + 49 -> 589
Job 1 Operation 3 on Machine 3 : 590 + 154 -> 744
Job 4 Operation 3 on Machine 4 : 590 + 124 -> 714
Job 6 Operation 4 on Machine 0 : 595 + 54 -> 649
Job 3 Operation 4 on Machine 0 : 649 + 78 -> 727
Job 0 Operation 4 on Machine 2 : 686 + 19 -> 705
Job 4 Operation 4 on Machine 2 : 714 + 151 -> 865
Job 1 Operation 4 on Machine 0 : 744 + 118 -> 862
Job 5 Operation 3 on Machine 3 : 744 + 14 -> 758
Job 5 Operation 4 on Machine 1 : 758 + 50 -> 808
Makespan: 865.0, as it is the maximum end completion time of Operation 4 |
7 | 2 | Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 44 mins.
Operation 1 on Machine 1 duration 32 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 30 mins.
Operation 1 on Machine 1 duration 73 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 75 mins.
Operation 1 on Machine 1 duration 41 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 52 mins.
Operation 1 on Machine 1 duration 20 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 61 mins.
Operation 1 on Machine 0 duration 70 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 59 mins.
Operation 1 on Machine 1 duration 62 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 44 mins.
Operation 1 on Machine 1 duration 55 mins.
| Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 44 mins.
Job 1 Operation 0 duration 30 mins.
Job 2 Operation 0 duration 75 mins.
Job 3 Operation 0 duration 52 mins.
Job 5 Operation 0 duration 59 mins.
Job 6 Operation 0 duration 44 mins.
Job 4 Operation 1 duration 70 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 61 mins.
Job 0 Operation 1 duration 32 mins.
Job 1 Operation 1 duration 73 mins.
Job 2 Operation 1 duration 41 mins.
Job 3 Operation 1 duration 20 mins.
Job 5 Operation 1 duration 62 mins.
Job 6 Operation 1 duration 55 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 30 -> 30
Job 4 Operation 0 on Machine 1 : 0 + 61 -> 61
Job 3 Operation 0 on Machine 0 : 30 + 52 -> 82
Job 0 Operation 0 on Machine 0 : 82 + 44 -> 126
Job 3 Operation 1 on Machine 1 : 82 + 20 -> 102
Job 1 Operation 1 on Machine 1 : 102 + 73 -> 175
Job 2 Operation 0 on Machine 0 : 126 + 75 -> 201
Job 0 Operation 1 on Machine 1 : 175 + 32 -> 207
Job 6 Operation 0 on Machine 0 : 201 + 44 -> 245
Job 2 Operation 1 on Machine 1 : 207 + 41 -> 248
Job 5 Operation 0 on Machine 0 : 245 + 59 -> 304
Job 6 Operation 1 on Machine 1 : 248 + 55 -> 303
Job 4 Operation 1 on Machine 0 : 304 + 70 -> 374
Job 5 Operation 1 on Machine 1 : 304 + 62 -> 366
Makespan: 374.0, as it is the maximum end completion time of Operation 1 |
10 | 8 | Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 440 mins.
Operation 1 on Machine 7 duration 81 mins.
Operation 2 on Machine 5 duration 156 mins.
Operation 3 on Machine 0 duration 108 mins.
Operation 4 on Machine 6 duration 368 mins.
Operation 5 on Machine 2 duration 160 mins.
Operation 6 on Machine 3 duration 102 mins.
Operation 7 on Machine 1 duration 180 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 313 mins.
Operation 1 on Machine 1 duration 346 mins.
Operation 2 on Machine 7 duration 343 mins.
Operation 3 on Machine 2 duration 295 mins.
Operation 4 on Machine 3 duration 359 mins.
Operation 5 on Machine 5 duration 231 mins.
Operation 6 on Machine 4 duration 95 mins.
Operation 7 on Machine 0 duration 401 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 35 mins.
Operation 1 on Machine 1 duration 342 mins.
Operation 2 on Machine 4 duration 167 mins.
Operation 3 on Machine 3 duration 108 mins.
Operation 4 on Machine 0 duration 87 mins.
Operation 5 on Machine 2 duration 107 mins.
Operation 6 on Machine 7 duration 244 mins.
Operation 7 on Machine 6 duration 323 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 9 mins.
Operation 1 on Machine 4 duration 373 mins.
Operation 2 on Machine 0 duration 408 mins.
Operation 3 on Machine 7 duration 175 mins.
Operation 4 on Machine 3 duration 167 mins.
Operation 5 on Machine 2 duration 99 mins.
Operation 6 on Machine 6 duration 50 mins.
Operation 7 on Machine 1 duration 228 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 250 mins.
Operation 1 on Machine 5 duration 459 mins.
Operation 2 on Machine 6 duration 481 mins.
Operation 3 on Machine 1 duration 32 mins.
Operation 4 on Machine 3 duration 301 mins.
Operation 5 on Machine 0 duration 15 mins.
Operation 6 on Machine 4 duration 301 mins.
Operation 7 on Machine 7 duration 21 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 315 mins.
Operation 1 on Machine 2 duration 244 mins.
Operation 2 on Machine 6 duration 406 mins.
Operation 3 on Machine 1 duration 92 mins.
Operation 4 on Machine 7 duration 21 mins.
Operation 5 on Machine 0 duration 122 mins.
Operation 6 on Machine 5 duration 212 mins.
Operation 7 on Machine 4 duration 356 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 88 mins.
Operation 1 on Machine 2 duration 8 mins.
Operation 2 on Machine 7 duration 310 mins.
Operation 3 on Machine 1 duration 420 mins.
Operation 4 on Machine 6 duration 312 mins.
Operation 5 on Machine 4 duration 484 mins.
Operation 6 on Machine 3 duration 400 mins.
Operation 7 on Machine 5 duration 109 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 131 mins.
Operation 1 on Machine 6 duration 354 mins.
Operation 2 on Machine 3 duration 445 mins.
Operation 3 on Machine 7 duration 291 mins.
Operation 4 on Machine 4 duration 416 mins.
Operation 5 on Machine 1 duration 473 mins.
Operation 6 on Machine 0 duration 313 mins.
Operation 7 on Machine 5 duration 381 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 280 mins.
Operation 1 on Machine 0 duration 323 mins.
Operation 2 on Machine 6 duration 130 mins.
Operation 3 on Machine 7 duration 472 mins.
Operation 4 on Machine 2 duration 60 mins.
Operation 5 on Machine 3 duration 251 mins.
Operation 6 on Machine 5 duration 273 mins.
Operation 7 on Machine 4 duration 42 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 125 mins.
Operation 1 on Machine 1 duration 325 mins.
Operation 2 on Machine 3 duration 477 mins.
Operation 3 on Machine 0 duration 391 mins.
Operation 4 on Machine 6 duration 321 mins.
Operation 5 on Machine 2 duration 7 mins.
Operation 6 on Machine 7 duration 282 mins.
Operation 7 on Machine 5 duration 80 mins.
| Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 88 mins.
Job 8 Operation 1 duration 323 mins.
Job 3 Operation 2 duration 408 mins.
Job 0 Operation 3 duration 108 mins.
Job 9 Operation 3 duration 391 mins.
Job 2 Operation 4 duration 87 mins.
Job 4 Operation 5 duration 15 mins.
Job 5 Operation 5 duration 122 mins.
Job 7 Operation 6 duration 313 mins.
Job 1 Operation 7 duration 401 mins.
Machine 1 is used for the following Operations:
Job 8 Operation 0 duration 280 mins.
Job 1 Operation 1 duration 346 mins.
Job 2 Operation 1 duration 342 mins.
Job 9 Operation 1 duration 325 mins.
Job 4 Operation 3 duration 32 mins.
Job 5 Operation 3 duration 92 mins.
Job 6 Operation 3 duration 420 mins.
Job 7 Operation 5 duration 473 mins.
Job 0 Operation 7 duration 180 mins.
Job 3 Operation 7 duration 228 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 250 mins.
Job 7 Operation 0 duration 131 mins.
Job 5 Operation 1 duration 244 mins.
Job 6 Operation 1 duration 8 mins.
Job 1 Operation 3 duration 295 mins.
Job 8 Operation 4 duration 60 mins.
Job 0 Operation 5 duration 160 mins.
Job 2 Operation 5 duration 107 mins.
Job 3 Operation 5 duration 99 mins.
Job 9 Operation 5 duration 7 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 315 mins.
Job 7 Operation 2 duration 445 mins.
Job 9 Operation 2 duration 477 mins.
Job 2 Operation 3 duration 108 mins.
Job 1 Operation 4 duration 359 mins.
Job 3 Operation 4 duration 167 mins.
Job 4 Operation 4 duration 301 mins.
Job 8 Operation 5 duration 251 mins.
Job 0 Operation 6 duration 102 mins.
Job 6 Operation 6 duration 400 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 440 mins.
Job 9 Operation 0 duration 125 mins.
Job 3 Operation 1 duration 373 mins.
Job 2 Operation 2 duration 167 mins.
Job 7 Operation 4 duration 416 mins.
Job 6 Operation 5 duration 484 mins.
Job 1 Operation 6 duration 95 mins.
Job 4 Operation 6 duration 301 mins.
Job 5 Operation 7 duration 356 mins.
Job 8 Operation 7 duration 42 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 35 mins.
Job 3 Operation 0 duration 9 mins.
Job 4 Operation 1 duration 459 mins.
Job 0 Operation 2 duration 156 mins.
Job 1 Operation 5 duration 231 mins.
Job 5 Operation 6 duration 212 mins.
Job 8 Operation 6 duration 273 mins.
Job 6 Operation 7 duration 109 mins.
Job 7 Operation 7 duration 381 mins.
Job 9 Operation 7 duration 80 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 313 mins.
Job 7 Operation 1 duration 354 mins.
Job 4 Operation 2 duration 481 mins.
Job 5 Operation 2 duration 406 mins.
Job 8 Operation 2 duration 130 mins.
Job 0 Operation 4 duration 368 mins.
Job 6 Operation 4 duration 312 mins.
Job 9 Operation 4 duration 321 mins.
Job 3 Operation 6 duration 50 mins.
Job 2 Operation 7 duration 323 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 1 duration 81 mins.
Job 1 Operation 2 duration 343 mins.
Job 6 Operation 2 duration 310 mins.
Job 3 Operation 3 duration 175 mins.
Job 7 Operation 3 duration 291 mins.
Job 8 Operation 3 duration 472 mins.
Job 5 Operation 4 duration 21 mins.
Job 2 Operation 6 duration 244 mins.
Job 9 Operation 6 duration 282 mins.
Job 4 Operation 7 duration 21 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 88 -> 88
Job 7 Operation 0 on Machine 2 : 0 + 131 -> 131
Job 5 Operation 0 on Machine 3 : 0 + 315 -> 315
Job 9 Operation 0 on Machine 4 : 0 + 125 -> 125
Job 3 Operation 0 on Machine 5 : 0 + 9 -> 9
Job 1 Operation 0 on Machine 6 : 0 + 313 -> 313
Job 2 Operation 0 on Machine 5 : 9 + 35 -> 44
Job 9 Operation 1 on Machine 1 : 125 + 325 -> 450
Job 3 Operation 1 on Machine 4 : 125 + 373 -> 498
Job 6 Operation 1 on Machine 2 : 131 + 8 -> 139
Job 4 Operation 0 on Machine 2 : 139 + 250 -> 389
Job 6 Operation 2 on Machine 7 : 139 + 310 -> 449
Job 7 Operation 1 on Machine 6 : 313 + 354 -> 667
Job 5 Operation 1 on Machine 2 : 389 + 244 -> 633
Job 4 Operation 1 on Machine 5 : 389 + 459 -> 848
Job 1 Operation 1 on Machine 1 : 450 + 346 -> 796
Job 9 Operation 2 on Machine 3 : 450 + 477 -> 927
Job 3 Operation 2 on Machine 0 : 498 + 408 -> 906
Job 0 Operation 0 on Machine 4 : 498 + 440 -> 938
Job 5 Operation 2 on Machine 6 : 667 + 406 -> 1073
Job 8 Operation 0 on Machine 1 : 796 + 280 -> 1076
Job 1 Operation 2 on Machine 7 : 796 + 343 -> 1139
Job 7 Operation 2 on Machine 3 : 927 + 445 -> 1372
Job 4 Operation 2 on Machine 6 : 1073 + 481 -> 1554
Job 8 Operation 1 on Machine 0 : 1076 + 323 -> 1399
Job 2 Operation 1 on Machine 1 : 1076 + 342 -> 1418
Job 1 Operation 3 on Machine 2 : 1139 + 295 -> 1434
Job 0 Operation 1 on Machine 7 : 1139 + 81 -> 1220
Job 0 Operation 2 on Machine 5 : 1220 + 156 -> 1376
Job 7 Operation 3 on Machine 7 : 1372 + 291 -> 1663
Job 0 Operation 3 on Machine 0 : 1399 + 108 -> 1507
Job 6 Operation 3 on Machine 1 : 1418 + 420 -> 1838
Job 2 Operation 2 on Machine 4 : 1418 + 167 -> 1585
Job 1 Operation 4 on Machine 3 : 1434 + 359 -> 1793
Job 9 Operation 3 on Machine 0 : 1507 + 391 -> 1898
Job 8 Operation 2 on Machine 6 : 1554 + 130 -> 1684
Job 7 Operation 4 on Machine 4 : 1663 + 416 -> 2079
Job 8 Operation 3 on Machine 7 : 1684 + 472 -> 2156
Job 2 Operation 3 on Machine 3 : 1793 + 108 -> 1901
Job 1 Operation 5 on Machine 5 : 1793 + 231 -> 2024
Job 4 Operation 3 on Machine 1 : 1838 + 32 -> 1870
Job 6 Operation 4 on Machine 6 : 1838 + 312 -> 2150
Job 5 Operation 3 on Machine 1 : 1870 + 92 -> 1962
Job 4 Operation 4 on Machine 3 : 1901 + 301 -> 2202
Job 7 Operation 5 on Machine 1 : 2079 + 473 -> 2552
Job 1 Operation 6 on Machine 4 : 2079 + 95 -> 2174
Job 9 Operation 4 on Machine 6 : 2150 + 321 -> 2471
Job 8 Operation 4 on Machine 2 : 2156 + 60 -> 2216
Job 5 Operation 4 on Machine 7 : 2156 + 21 -> 2177
Job 6 Operation 5 on Machine 4 : 2174 + 484 -> 2658
Job 5 Operation 5 on Machine 0 : 2177 + 122 -> 2299
Job 3 Operation 3 on Machine 7 : 2177 + 175 -> 2352
Job 8 Operation 5 on Machine 3 : 2216 + 251 -> 2467
Job 2 Operation 4 on Machine 0 : 2299 + 87 -> 2386
Job 5 Operation 6 on Machine 5 : 2299 + 212 -> 2511
Job 2 Operation 5 on Machine 2 : 2386 + 107 -> 2493
Job 3 Operation 4 on Machine 3 : 2467 + 167 -> 2634
Job 0 Operation 4 on Machine 6 : 2471 + 368 -> 2839
Job 9 Operation 5 on Machine 2 : 2493 + 7 -> 2500
Job 9 Operation 6 on Machine 7 : 2500 + 282 -> 2782
Job 8 Operation 6 on Machine 5 : 2511 + 273 -> 2784
Job 7 Operation 6 on Machine 0 : 2552 + 313 -> 2865
Job 3 Operation 5 on Machine 2 : 2634 + 99 -> 2733
Job 6 Operation 6 on Machine 3 : 2658 + 400 -> 3058
Job 5 Operation 7 on Machine 4 : 2658 + 356 -> 3014
Job 2 Operation 6 on Machine 7 : 2782 + 244 -> 3026
Job 9 Operation 7 on Machine 5 : 2784 + 80 -> 2864
Job 0 Operation 5 on Machine 2 : 2839 + 160 -> 2999
Job 3 Operation 6 on Machine 6 : 2839 + 50 -> 2889
Job 4 Operation 5 on Machine 0 : 2865 + 15 -> 2880
Job 7 Operation 7 on Machine 5 : 2865 + 381 -> 3246
Job 1 Operation 7 on Machine 0 : 2880 + 401 -> 3281
Job 3 Operation 7 on Machine 1 : 2889 + 228 -> 3117
Job 4 Operation 6 on Machine 4 : 3014 + 301 -> 3315
Job 2 Operation 7 on Machine 6 : 3026 + 323 -> 3349
Job 0 Operation 6 on Machine 3 : 3058 + 102 -> 3160
Job 0 Operation 7 on Machine 1 : 3160 + 180 -> 3340
Job 6 Operation 7 on Machine 5 : 3246 + 109 -> 3355
Job 8 Operation 7 on Machine 4 : 3315 + 42 -> 3357
Job 4 Operation 7 on Machine 7 : 3315 + 21 -> 3336
Makespan: 3357.0, as it is the maximum end completion time of Operation 7 |
5 | 2 | Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 438 mins.
Operation 1 on Machine 0 duration 451 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 325 mins.
Operation 1 on Machine 1 duration 366 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 251 mins.
Operation 1 on Machine 1 duration 52 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 265 mins.
Operation 1 on Machine 1 duration 216 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 130 mins.
Operation 1 on Machine 0 duration 167 mins.
| Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 325 mins.
Job 2 Operation 0 duration 251 mins.
Job 3 Operation 0 duration 265 mins.
Job 0 Operation 1 duration 451 mins.
Job 4 Operation 1 duration 167 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 438 mins.
Job 4 Operation 0 duration 130 mins.
Job 1 Operation 1 duration 366 mins.
Job 2 Operation 1 duration 52 mins.
Job 3 Operation 1 duration 216 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 251 -> 251
Job 4 Operation 0 on Machine 1 : 0 + 130 -> 130
Job 0 Operation 0 on Machine 1 : 130 + 438 -> 568
Job 4 Operation 1 on Machine 0 : 251 + 167 -> 418
Job 3 Operation 0 on Machine 0 : 418 + 265 -> 683
Job 2 Operation 1 on Machine 1 : 568 + 52 -> 620
Job 1 Operation 0 on Machine 0 : 683 + 325 -> 1008
Job 3 Operation 1 on Machine 1 : 683 + 216 -> 899
Job 0 Operation 1 on Machine 0 : 1008 + 451 -> 1459
Job 1 Operation 1 on Machine 1 : 1008 + 366 -> 1374
Makespan: 1459.0, as it is the maximum end completion time of Operation 1 |
10 | 2 | Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 85 mins.
Operation 1 on Machine 1 duration 149 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 71 mins.
Operation 1 on Machine 1 duration 100 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 162 mins.
Operation 1 on Machine 0 duration 138 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 22 mins.
Operation 1 on Machine 1 duration 86 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 111 mins.
Operation 1 on Machine 1 duration 81 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 20 mins.
Operation 1 on Machine 0 duration 3 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 151 mins.
Operation 1 on Machine 0 duration 155 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 6 mins.
Operation 1 on Machine 1 duration 139 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 62 mins.
Operation 1 on Machine 1 duration 108 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 55 mins.
Operation 1 on Machine 1 duration 147 mins.
| Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 85 mins.
Job 1 Operation 0 duration 71 mins.
Job 3 Operation 0 duration 22 mins.
Job 4 Operation 0 duration 111 mins.
Job 7 Operation 0 duration 6 mins.
Job 8 Operation 0 duration 62 mins.
Job 9 Operation 0 duration 55 mins.
Job 2 Operation 1 duration 138 mins.
Job 5 Operation 1 duration 3 mins.
Job 6 Operation 1 duration 155 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 162 mins.
Job 5 Operation 0 duration 20 mins.
Job 6 Operation 0 duration 151 mins.
Job 0 Operation 1 duration 149 mins.
Job 1 Operation 1 duration 100 mins.
Job 3 Operation 1 duration 86 mins.
Job 4 Operation 1 duration 81 mins.
Job 7 Operation 1 duration 139 mins.
Job 8 Operation 1 duration 108 mins.
Job 9 Operation 1 duration 147 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 6 -> 6
Job 6 Operation 0 on Machine 1 : 0 + 151 -> 151
Job 9 Operation 0 on Machine 0 : 6 + 55 -> 61
Job 0 Operation 0 on Machine 0 : 61 + 85 -> 146
Job 6 Operation 1 on Machine 0 : 151 + 155 -> 306
Job 0 Operation 1 on Machine 1 : 151 + 149 -> 300
Job 9 Operation 1 on Machine 1 : 300 + 147 -> 447
Job 3 Operation 0 on Machine 0 : 306 + 22 -> 328
Job 4 Operation 0 on Machine 0 : 328 + 111 -> 439
Job 8 Operation 0 on Machine 0 : 439 + 62 -> 501
Job 4 Operation 1 on Machine 1 : 447 + 81 -> 528
Job 1 Operation 0 on Machine 0 : 501 + 71 -> 572
Job 5 Operation 0 on Machine 1 : 528 + 20 -> 548
Job 3 Operation 1 on Machine 1 : 548 + 86 -> 634
Job 5 Operation 1 on Machine 0 : 572 + 3 -> 575
Job 1 Operation 1 on Machine 1 : 634 + 100 -> 734
Job 8 Operation 1 on Machine 1 : 734 + 108 -> 842
Job 2 Operation 0 on Machine 1 : 842 + 162 -> 1004
Job 2 Operation 1 on Machine 0 : 1004 + 138 -> 1142
Job 7 Operation 1 on Machine 1 : 1004 + 139 -> 1143
Makespan: 1143.0, as it is the maximum end completion time of Operation 1 |
5 | 3 | Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 153 mins.
Operation 1 on Machine 2 duration 17 mins.
Operation 2 on Machine 1 duration 72 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 100 mins.
Operation 1 on Machine 1 duration 95 mins.
Operation 2 on Machine 2 duration 26 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 40 mins.
Operation 1 on Machine 2 duration 69 mins.
Operation 2 on Machine 0 duration 50 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 62 mins.
Operation 1 on Machine 1 duration 90 mins.
Operation 2 on Machine 0 duration 108 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 122 mins.
Operation 1 on Machine 0 duration 113 mins.
Operation 2 on Machine 2 duration 49 mins.
| Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 153 mins.
Job 1 Operation 0 duration 100 mins.
Job 4 Operation 1 duration 113 mins.
Job 2 Operation 2 duration 50 mins.
Job 3 Operation 2 duration 108 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 40 mins.
Job 4 Operation 0 duration 122 mins.
Job 1 Operation 1 duration 95 mins.
Job 3 Operation 1 duration 90 mins.
Job 0 Operation 2 duration 72 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 62 mins.
Job 0 Operation 1 duration 17 mins.
Job 2 Operation 1 duration 69 mins.
Job 1 Operation 2 duration 26 mins.
Job 4 Operation 2 duration 49 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 153 -> 153
Job 2 Operation 0 on Machine 1 : 0 + 40 -> 40
Job 3 Operation 0 on Machine 2 : 0 + 62 -> 62
Job 4 Operation 0 on Machine 1 : 40 + 122 -> 162
Job 2 Operation 1 on Machine 2 : 62 + 69 -> 131
Job 2 Operation 2 on Machine 0 : 153 + 50 -> 203
Job 0 Operation 1 on Machine 2 : 153 + 17 -> 170
Job 0 Operation 2 on Machine 1 : 170 + 72 -> 242
Job 1 Operation 0 on Machine 0 : 203 + 100 -> 303
Job 3 Operation 1 on Machine 1 : 242 + 90 -> 332
Job 4 Operation 1 on Machine 0 : 303 + 113 -> 416
Job 1 Operation 1 on Machine 1 : 332 + 95 -> 427
Job 3 Operation 2 on Machine 0 : 416 + 108 -> 524
Job 1 Operation 2 on Machine 2 : 427 + 26 -> 453
Job 4 Operation 2 on Machine 2 : 453 + 49 -> 502
Makespan: 524.0, as it is the maximum end completion time of Operation 2 |
2 | 2 | Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 274 mins.
Operation 1 on Machine 0 duration 314 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 269 mins.
Operation 1 on Machine 0 duration 332 mins.
| Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 314 mins.
Job 1 Operation 1 duration 332 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 274 mins.
Job 1 Operation 0 duration 269 mins.
| Solution:
Job 1 Operation 0 on Machine 1 : 0 + 269 -> 269
Job 1 Operation 1 on Machine 0 : 269 + 332 -> 601
Job 0 Operation 0 on Machine 1 : 269 + 274 -> 543
Job 0 Operation 1 on Machine 0 : 601 + 314 -> 915
Makespan: 915.0, as it is the maximum end completion time of Operation 1 |
7 | 6 | Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 37 mins.
Operation 1 on Machine 2 duration 256 mins.
Operation 2 on Machine 1 duration 196 mins.
Operation 3 on Machine 0 duration 217 mins.
Operation 4 on Machine 4 duration 114 mins.
Operation 5 on Machine 3 duration 240 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 106 mins.
Operation 1 on Machine 0 duration 199 mins.
Operation 2 on Machine 1 duration 171 mins.
Operation 3 on Machine 2 duration 306 mins.
Operation 4 on Machine 3 duration 209 mins.
Operation 5 on Machine 5 duration 101 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 38 mins.
Operation 1 on Machine 4 duration 122 mins.
Operation 2 on Machine 1 duration 105 mins.
Operation 3 on Machine 3 duration 237 mins.
Operation 4 on Machine 2 duration 140 mins.
Operation 5 on Machine 5 duration 60 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 71 mins.
Operation 1 on Machine 3 duration 30 mins.
Operation 2 on Machine 5 duration 285 mins.
Operation 3 on Machine 2 duration 82 mins.
Operation 4 on Machine 4 duration 251 mins.
Operation 5 on Machine 1 duration 181 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 217 mins.
Operation 1 on Machine 0 duration 281 mins.
Operation 2 on Machine 5 duration 278 mins.
Operation 3 on Machine 2 duration 132 mins.
Operation 4 on Machine 1 duration 275 mins.
Operation 5 on Machine 3 duration 213 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 271 mins.
Operation 1 on Machine 0 duration 194 mins.
Operation 2 on Machine 2 duration 31 mins.
Operation 3 on Machine 4 duration 90 mins.
Operation 4 on Machine 5 duration 62 mins.
Operation 5 on Machine 1 duration 26 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 292 mins.
Operation 1 on Machine 5 duration 23 mins.
Operation 2 on Machine 1 duration 102 mins.
Operation 3 on Machine 0 duration 293 mins.
Operation 4 on Machine 2 duration 251 mins.
Operation 5 on Machine 4 duration 89 mins.
| Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 38 mins.
Job 3 Operation 0 duration 71 mins.
Job 1 Operation 1 duration 199 mins.
Job 4 Operation 1 duration 281 mins.
Job 5 Operation 1 duration 194 mins.
Job 0 Operation 3 duration 217 mins.
Job 6 Operation 3 duration 293 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 2 duration 196 mins.
Job 1 Operation 2 duration 171 mins.
Job 2 Operation 2 duration 105 mins.
Job 6 Operation 2 duration 102 mins.
Job 4 Operation 4 duration 275 mins.
Job 3 Operation 5 duration 181 mins.
Job 5 Operation 5 duration 26 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 256 mins.
Job 5 Operation 2 duration 31 mins.
Job 1 Operation 3 duration 306 mins.
Job 3 Operation 3 duration 82 mins.
Job 4 Operation 3 duration 132 mins.
Job 2 Operation 4 duration 140 mins.
Job 6 Operation 4 duration 251 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 271 mins.
Job 6 Operation 0 duration 292 mins.
Job 3 Operation 1 duration 30 mins.
Job 2 Operation 3 duration 237 mins.
Job 1 Operation 4 duration 209 mins.
Job 0 Operation 5 duration 240 mins.
Job 4 Operation 5 duration 213 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 106 mins.
Job 4 Operation 0 duration 217 mins.
Job 2 Operation 1 duration 122 mins.
Job 5 Operation 3 duration 90 mins.
Job 0 Operation 4 duration 114 mins.
Job 3 Operation 4 duration 251 mins.
Job 6 Operation 5 duration 89 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 37 mins.
Job 6 Operation 1 duration 23 mins.
Job 3 Operation 2 duration 285 mins.
Job 4 Operation 2 duration 278 mins.
Job 5 Operation 4 duration 62 mins.
Job 1 Operation 5 duration 101 mins.
Job 2 Operation 5 duration 60 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 71 -> 71
Job 1 Operation 0 on Machine 4 : 0 + 106 -> 106
Job 0 Operation 0 on Machine 5 : 0 + 37 -> 37
Job 0 Operation 1 on Machine 2 : 37 + 256 -> 293
Job 2 Operation 0 on Machine 0 : 71 + 38 -> 109
Job 3 Operation 1 on Machine 3 : 71 + 30 -> 101
Job 5 Operation 0 on Machine 3 : 101 + 271 -> 372
Job 3 Operation 2 on Machine 5 : 101 + 285 -> 386
Job 4 Operation 0 on Machine 4 : 106 + 217 -> 323
Job 1 Operation 1 on Machine 0 : 109 + 199 -> 308
Job 1 Operation 2 on Machine 1 : 308 + 171 -> 479
Job 4 Operation 1 on Machine 0 : 323 + 281 -> 604
Job 2 Operation 1 on Machine 4 : 323 + 122 -> 445
Job 6 Operation 0 on Machine 3 : 372 + 292 -> 664
Job 3 Operation 3 on Machine 2 : 386 + 82 -> 468
Job 3 Operation 4 on Machine 4 : 468 + 251 -> 719
Job 2 Operation 2 on Machine 1 : 479 + 105 -> 584
Job 1 Operation 3 on Machine 2 : 479 + 306 -> 785
Job 0 Operation 2 on Machine 1 : 584 + 196 -> 780
Job 5 Operation 1 on Machine 0 : 604 + 194 -> 798
Job 4 Operation 2 on Machine 5 : 604 + 278 -> 882
Job 2 Operation 3 on Machine 3 : 664 + 237 -> 901
Job 0 Operation 3 on Machine 0 : 798 + 217 -> 1015
Job 5 Operation 2 on Machine 2 : 798 + 31 -> 829
Job 5 Operation 3 on Machine 4 : 829 + 90 -> 919
Job 4 Operation 3 on Machine 2 : 882 + 132 -> 1014
Job 6 Operation 1 on Machine 5 : 882 + 23 -> 905
Job 1 Operation 4 on Machine 3 : 901 + 209 -> 1110
Job 6 Operation 2 on Machine 1 : 905 + 102 -> 1007
Job 5 Operation 4 on Machine 5 : 919 + 62 -> 981
Job 4 Operation 4 on Machine 1 : 1014 + 275 -> 1289
Job 2 Operation 4 on Machine 2 : 1014 + 140 -> 1154
Job 6 Operation 3 on Machine 0 : 1015 + 293 -> 1308
Job 0 Operation 4 on Machine 4 : 1015 + 114 -> 1129
Job 1 Operation 5 on Machine 5 : 1110 + 101 -> 1211
Job 0 Operation 5 on Machine 3 : 1129 + 240 -> 1369
Job 2 Operation 5 on Machine 5 : 1211 + 60 -> 1271
Job 5 Operation 5 on Machine 1 : 1289 + 26 -> 1315
Job 6 Operation 4 on Machine 2 : 1308 + 251 -> 1559
Job 3 Operation 5 on Machine 1 : 1315 + 181 -> 1496
Job 4 Operation 5 on Machine 3 : 1369 + 213 -> 1582
Job 6 Operation 5 on Machine 4 : 1559 + 89 -> 1648
Makespan: 1648.0, as it is the maximum end completion time of Operation 5 |
6 | 5 | Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 113 mins.
Operation 1 on Machine 4 duration 109 mins.
Operation 2 on Machine 2 duration 8 mins.
Operation 3 on Machine 0 duration 45 mins.
Operation 4 on Machine 3 duration 18 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 69 mins.
Operation 1 on Machine 1 duration 94 mins.
Operation 2 on Machine 3 duration 26 mins.
Operation 3 on Machine 2 duration 121 mins.
Operation 4 on Machine 4 duration 44 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 45 mins.
Operation 1 on Machine 3 duration 30 mins.
Operation 2 on Machine 1 duration 73 mins.
Operation 3 on Machine 4 duration 108 mins.
Operation 4 on Machine 2 duration 79 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 9 mins.
Operation 1 on Machine 1 duration 34 mins.
Operation 2 on Machine 4 duration 73 mins.
Operation 3 on Machine 3 duration 65 mins.
Operation 4 on Machine 2 duration 37 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 45 mins.
Operation 1 on Machine 0 duration 105 mins.
Operation 2 on Machine 3 duration 110 mins.
Operation 3 on Machine 4 duration 58 mins.
Operation 4 on Machine 1 duration 118 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 113 mins.
Operation 1 on Machine 2 duration 8 mins.
Operation 2 on Machine 0 duration 116 mins.
Operation 3 on Machine 3 duration 22 mins.
Operation 4 on Machine 4 duration 10 mins.
| Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 69 mins.
Job 2 Operation 0 duration 45 mins.
Job 3 Operation 0 duration 9 mins.
Job 4 Operation 1 duration 105 mins.
Job 5 Operation 2 duration 116 mins.
Job 0 Operation 3 duration 45 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 113 mins.
Job 5 Operation 0 duration 113 mins.
Job 1 Operation 1 duration 94 mins.
Job 3 Operation 1 duration 34 mins.
Job 2 Operation 2 duration 73 mins.
Job 4 Operation 4 duration 118 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 45 mins.
Job 5 Operation 1 duration 8 mins.
Job 0 Operation 2 duration 8 mins.
Job 1 Operation 3 duration 121 mins.
Job 2 Operation 4 duration 79 mins.
Job 3 Operation 4 duration 37 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 30 mins.
Job 1 Operation 2 duration 26 mins.
Job 4 Operation 2 duration 110 mins.
Job 3 Operation 3 duration 65 mins.
Job 5 Operation 3 duration 22 mins.
Job 0 Operation 4 duration 18 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 109 mins.
Job 3 Operation 2 duration 73 mins.
Job 2 Operation 3 duration 108 mins.
Job 4 Operation 3 duration 58 mins.
Job 1 Operation 4 duration 44 mins.
Job 5 Operation 4 duration 10 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 9 -> 9
Job 0 Operation 0 on Machine 1 : 0 + 113 -> 113
Job 4 Operation 0 on Machine 2 : 0 + 45 -> 45
Job 1 Operation 0 on Machine 0 : 9 + 69 -> 78
Job 2 Operation 0 on Machine 0 : 78 + 45 -> 123
Job 1 Operation 1 on Machine 1 : 113 + 94 -> 207
Job 0 Operation 1 on Machine 4 : 113 + 109 -> 222
Job 4 Operation 1 on Machine 0 : 123 + 105 -> 228
Job 2 Operation 1 on Machine 3 : 123 + 30 -> 153
Job 3 Operation 1 on Machine 1 : 207 + 34 -> 241
Job 1 Operation 2 on Machine 3 : 207 + 26 -> 233
Job 0 Operation 2 on Machine 2 : 222 + 8 -> 230
Job 0 Operation 3 on Machine 0 : 230 + 45 -> 275
Job 1 Operation 3 on Machine 2 : 233 + 121 -> 354
Job 4 Operation 2 on Machine 3 : 233 + 110 -> 343
Job 2 Operation 2 on Machine 1 : 241 + 73 -> 314
Job 3 Operation 2 on Machine 4 : 241 + 73 -> 314
Job 5 Operation 0 on Machine 1 : 314 + 113 -> 427
Job 3 Operation 3 on Machine 3 : 343 + 65 -> 408
Job 4 Operation 3 on Machine 4 : 343 + 58 -> 401
Job 2 Operation 3 on Machine 4 : 401 + 108 -> 509
Job 0 Operation 4 on Machine 3 : 408 + 18 -> 426
Job 4 Operation 4 on Machine 1 : 427 + 118 -> 545
Job 5 Operation 1 on Machine 2 : 427 + 8 -> 435
Job 5 Operation 2 on Machine 0 : 435 + 116 -> 551
Job 3 Operation 4 on Machine 2 : 435 + 37 -> 472
Job 2 Operation 4 on Machine 2 : 509 + 79 -> 588
Job 1 Operation 4 on Machine 4 : 509 + 44 -> 553
Job 5 Operation 3 on Machine 3 : 551 + 22 -> 573
Job 5 Operation 4 on Machine 4 : 573 + 10 -> 583
Makespan: 588.0, as it is the maximum end completion time of Operation 4 |
8 | 5 | Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 170 mins.
Operation 1 on Machine 0 duration 109 mins.
Operation 2 on Machine 1 duration 10 mins.
Operation 3 on Machine 3 duration 173 mins.
Operation 4 on Machine 2 duration 95 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 113 mins.
Operation 1 on Machine 1 duration 35 mins.
Operation 2 on Machine 3 duration 34 mins.
Operation 3 on Machine 4 duration 119 mins.
Operation 4 on Machine 2 duration 11 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 33 mins.
Operation 1 on Machine 1 duration 158 mins.
Operation 2 on Machine 2 duration 128 mins.
Operation 3 on Machine 0 duration 132 mins.
Operation 4 on Machine 3 duration 45 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 91 mins.
Operation 1 on Machine 3 duration 17 mins.
Operation 2 on Machine 1 duration 121 mins.
Operation 3 on Machine 4 duration 175 mins.
Operation 4 on Machine 2 duration 125 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 68 mins.
Operation 1 on Machine 1 duration 184 mins.
Operation 2 on Machine 4 duration 77 mins.
Operation 3 on Machine 0 duration 134 mins.
Operation 4 on Machine 3 duration 96 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 114 mins.
Operation 1 on Machine 0 duration 74 mins.
Operation 2 on Machine 4 duration 119 mins.
Operation 3 on Machine 3 duration 34 mins.
Operation 4 on Machine 2 duration 100 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 154 mins.
Operation 1 on Machine 3 duration 145 mins.
Operation 2 on Machine 4 duration 7 mins.
Operation 3 on Machine 2 duration 76 mins.
Operation 4 on Machine 0 duration 52 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 140 mins.
Operation 1 on Machine 4 duration 52 mins.
Operation 2 on Machine 3 duration 97 mins.
Operation 3 on Machine 1 duration 60 mins.
Operation 4 on Machine 2 duration 148 mins.
| Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 113 mins.
Job 3 Operation 0 duration 91 mins.
Job 7 Operation 0 duration 140 mins.
Job 0 Operation 1 duration 109 mins.
Job 5 Operation 1 duration 74 mins.
Job 2 Operation 3 duration 132 mins.
Job 4 Operation 3 duration 134 mins.
Job 6 Operation 4 duration 52 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 114 mins.
Job 6 Operation 0 duration 154 mins.
Job 1 Operation 1 duration 35 mins.
Job 2 Operation 1 duration 158 mins.
Job 4 Operation 1 duration 184 mins.
Job 0 Operation 2 duration 10 mins.
Job 3 Operation 2 duration 121 mins.
Job 7 Operation 3 duration 60 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 68 mins.
Job 2 Operation 2 duration 128 mins.
Job 6 Operation 3 duration 76 mins.
Job 0 Operation 4 duration 95 mins.
Job 1 Operation 4 duration 11 mins.
Job 3 Operation 4 duration 125 mins.
Job 5 Operation 4 duration 100 mins.
Job 7 Operation 4 duration 148 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 1 duration 17 mins.
Job 6 Operation 1 duration 145 mins.
Job 1 Operation 2 duration 34 mins.
Job 7 Operation 2 duration 97 mins.
Job 0 Operation 3 duration 173 mins.
Job 5 Operation 3 duration 34 mins.
Job 2 Operation 4 duration 45 mins.
Job 4 Operation 4 duration 96 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 170 mins.
Job 2 Operation 0 duration 33 mins.
Job 7 Operation 1 duration 52 mins.
Job 4 Operation 2 duration 77 mins.
Job 5 Operation 2 duration 119 mins.
Job 6 Operation 2 duration 7 mins.
Job 1 Operation 3 duration 119 mins.
Job 3 Operation 3 duration 175 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 91 -> 91
Job 5 Operation 0 on Machine 1 : 0 + 114 -> 114
Job 4 Operation 0 on Machine 2 : 0 + 68 -> 68
Job 0 Operation 0 on Machine 4 : 0 + 170 -> 170
Job 3 Operation 1 on Machine 3 : 91 + 17 -> 108
Job 5 Operation 1 on Machine 0 : 114 + 74 -> 188
Job 3 Operation 2 on Machine 1 : 114 + 121 -> 235
Job 2 Operation 0 on Machine 4 : 170 + 33 -> 203
Job 0 Operation 1 on Machine 0 : 188 + 109 -> 297
Job 5 Operation 2 on Machine 4 : 203 + 119 -> 322
Job 2 Operation 1 on Machine 1 : 235 + 158 -> 393
Job 1 Operation 0 on Machine 0 : 297 + 113 -> 410
Job 5 Operation 3 on Machine 3 : 322 + 34 -> 356
Job 3 Operation 3 on Machine 4 : 322 + 175 -> 497
Job 5 Operation 4 on Machine 2 : 356 + 100 -> 456
Job 0 Operation 2 on Machine 1 : 393 + 10 -> 403
Job 6 Operation 0 on Machine 1 : 403 + 154 -> 557
Job 0 Operation 3 on Machine 3 : 403 + 173 -> 576
Job 7 Operation 0 on Machine 0 : 410 + 140 -> 550
Job 2 Operation 2 on Machine 2 : 456 + 128 -> 584
Job 7 Operation 1 on Machine 4 : 550 + 52 -> 602
Job 4 Operation 1 on Machine 1 : 557 + 184 -> 741
Job 6 Operation 1 on Machine 3 : 576 + 145 -> 721
Job 2 Operation 3 on Machine 0 : 584 + 132 -> 716
Job 0 Operation 4 on Machine 2 : 584 + 95 -> 679
Job 3 Operation 4 on Machine 2 : 679 + 125 -> 804
Job 7 Operation 2 on Machine 3 : 721 + 97 -> 818
Job 6 Operation 2 on Machine 4 : 721 + 7 -> 728
Job 1 Operation 1 on Machine 1 : 741 + 35 -> 776
Job 4 Operation 2 on Machine 4 : 741 + 77 -> 818
Job 6 Operation 3 on Machine 2 : 804 + 76 -> 880
Job 4 Operation 3 on Machine 0 : 818 + 134 -> 952
Job 7 Operation 3 on Machine 1 : 818 + 60 -> 878
Job 1 Operation 2 on Machine 3 : 818 + 34 -> 852
Job 2 Operation 4 on Machine 3 : 852 + 45 -> 897
Job 1 Operation 3 on Machine 4 : 852 + 119 -> 971
Job 7 Operation 4 on Machine 2 : 880 + 148 -> 1028
Job 6 Operation 4 on Machine 0 : 952 + 52 -> 1004
Job 4 Operation 4 on Machine 3 : 952 + 96 -> 1048
Job 1 Operation 4 on Machine 2 : 1028 + 11 -> 1039
Makespan: 1048.0, as it is the maximum end completion time of Operation 4 |
10 | 4 | Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 3 duration 16 mins.
Operation 2 on Machine 0 duration 1 mins.
Operation 3 on Machine 1 duration 48 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 20 mins.
Operation 1 on Machine 1 duration 49 mins.
Operation 2 on Machine 0 duration 44 mins.
Operation 3 on Machine 2 duration 19 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 14 mins.
Operation 1 on Machine 3 duration 49 mins.
Operation 2 on Machine 0 duration 25 mins.
Operation 3 on Machine 1 duration 11 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 37 mins.
Operation 1 on Machine 0 duration 6 mins.
Operation 2 on Machine 3 duration 30 mins.
Operation 3 on Machine 1 duration 9 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 14 mins.
Operation 1 on Machine 2 duration 32 mins.
Operation 2 on Machine 0 duration 29 mins.
Operation 3 on Machine 3 duration 11 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 10 mins.
Operation 1 on Machine 2 duration 36 mins.
Operation 2 on Machine 3 duration 9 mins.
Operation 3 on Machine 0 duration 24 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 39 mins.
Operation 1 on Machine 3 duration 40 mins.
Operation 2 on Machine 2 duration 39 mins.
Operation 3 on Machine 0 duration 43 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 14 mins.
Operation 1 on Machine 0 duration 48 mins.
Operation 2 on Machine 3 duration 31 mins.
Operation 3 on Machine 2 duration 34 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 26 mins.
Operation 1 on Machine 3 duration 45 mins.
Operation 2 on Machine 2 duration 15 mins.
Operation 3 on Machine 1 duration 36 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 19 mins.
Operation 1 on Machine 1 duration 40 mins.
Operation 2 on Machine 3 duration 18 mins.
Operation 3 on Machine 0 duration 21 mins.
| Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 8 Operation 0 duration 26 mins.
Job 3 Operation 1 duration 6 mins.
Job 7 Operation 1 duration 48 mins.
Job 0 Operation 2 duration 1 mins.
Job 1 Operation 2 duration 44 mins.
Job 2 Operation 2 duration 25 mins.
Job 4 Operation 2 duration 29 mins.
Job 5 Operation 3 duration 24 mins.
Job 6 Operation 3 duration 43 mins.
Job 9 Operation 3 duration 21 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 14 mins.
Job 5 Operation 0 duration 10 mins.
Job 6 Operation 0 duration 39 mins.
Job 7 Operation 0 duration 14 mins.
Job 1 Operation 1 duration 49 mins.
Job 9 Operation 1 duration 40 mins.
Job 0 Operation 3 duration 48 mins.
Job 2 Operation 3 duration 11 mins.
Job 3 Operation 3 duration 9 mins.
Job 8 Operation 3 duration 36 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 4 mins.
Job 2 Operation 0 duration 14 mins.
Job 3 Operation 0 duration 37 mins.
Job 9 Operation 0 duration 19 mins.
Job 4 Operation 1 duration 32 mins.
Job 5 Operation 1 duration 36 mins.
Job 6 Operation 2 duration 39 mins.
Job 8 Operation 2 duration 15 mins.
Job 1 Operation 3 duration 19 mins.
Job 7 Operation 3 duration 34 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 20 mins.
Job 0 Operation 1 duration 16 mins.
Job 2 Operation 1 duration 49 mins.
Job 6 Operation 1 duration 40 mins.
Job 8 Operation 1 duration 45 mins.
Job 3 Operation 2 duration 30 mins.
Job 5 Operation 2 duration 9 mins.
Job 7 Operation 2 duration 31 mins.
Job 9 Operation 2 duration 18 mins.
Job 4 Operation 3 duration 11 mins.
| Solution:
Job 8 Operation 0 on Machine 0 : 0 + 26 -> 26
Job 4 Operation 0 on Machine 1 : 0 + 14 -> 14
Job 0 Operation 0 on Machine 2 : 0 + 4 -> 4
Job 1 Operation 0 on Machine 3 : 0 + 20 -> 20
Job 2 Operation 0 on Machine 2 : 4 + 14 -> 18
Job 7 Operation 0 on Machine 1 : 14 + 14 -> 28
Job 9 Operation 0 on Machine 2 : 18 + 19 -> 37
Job 2 Operation 1 on Machine 3 : 20 + 49 -> 69
Job 7 Operation 1 on Machine 0 : 28 + 48 -> 76
Job 6 Operation 0 on Machine 1 : 28 + 39 -> 67
Job 4 Operation 1 on Machine 2 : 37 + 32 -> 69
Job 1 Operation 1 on Machine 1 : 67 + 49 -> 116
Job 3 Operation 0 on Machine 2 : 69 + 37 -> 106
Job 6 Operation 1 on Machine 3 : 69 + 40 -> 109
Job 4 Operation 2 on Machine 0 : 76 + 29 -> 105
Job 3 Operation 1 on Machine 0 : 106 + 6 -> 112
Job 6 Operation 2 on Machine 2 : 109 + 39 -> 148
Job 0 Operation 1 on Machine 3 : 109 + 16 -> 125
Job 2 Operation 2 on Machine 0 : 112 + 25 -> 137
Job 9 Operation 1 on Machine 1 : 116 + 40 -> 156
Job 8 Operation 1 on Machine 3 : 125 + 45 -> 170
Job 0 Operation 2 on Machine 0 : 137 + 1 -> 138
Job 1 Operation 2 on Machine 0 : 138 + 44 -> 182
Job 5 Operation 0 on Machine 1 : 156 + 10 -> 166
Job 0 Operation 3 on Machine 1 : 166 + 48 -> 214
Job 5 Operation 1 on Machine 2 : 166 + 36 -> 202
Job 9 Operation 2 on Machine 3 : 170 + 18 -> 188
Job 6 Operation 3 on Machine 0 : 182 + 43 -> 225
Job 7 Operation 2 on Machine 3 : 188 + 31 -> 219
Job 8 Operation 2 on Machine 2 : 202 + 15 -> 217
Job 2 Operation 3 on Machine 1 : 214 + 11 -> 225
Job 1 Operation 3 on Machine 2 : 217 + 19 -> 236
Job 5 Operation 2 on Machine 3 : 219 + 9 -> 228
Job 9 Operation 3 on Machine 0 : 225 + 21 -> 246
Job 8 Operation 3 on Machine 1 : 225 + 36 -> 261
Job 3 Operation 2 on Machine 3 : 228 + 30 -> 258
Job 7 Operation 3 on Machine 2 : 236 + 34 -> 270
Job 5 Operation 3 on Machine 0 : 246 + 24 -> 270
Job 4 Operation 3 on Machine 3 : 258 + 11 -> 269
Job 3 Operation 3 on Machine 1 : 261 + 9 -> 270
Makespan: 270.0, as it is the maximum end completion time of Operation 3 |
9 | 7 | Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 360 mins.
Operation 1 on Machine 6 duration 178 mins.
Operation 2 on Machine 3 duration 182 mins.
Operation 3 on Machine 4 duration 175 mins.
Operation 4 on Machine 0 duration 77 mins.
Operation 5 on Machine 2 duration 24 mins.
Operation 6 on Machine 1 duration 234 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 63 mins.
Operation 1 on Machine 4 duration 233 mins.
Operation 2 on Machine 2 duration 246 mins.
Operation 3 on Machine 6 duration 203 mins.
Operation 4 on Machine 0 duration 366 mins.
Operation 5 on Machine 5 duration 216 mins.
Operation 6 on Machine 3 duration 352 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 49 mins.
Operation 1 on Machine 3 duration 41 mins.
Operation 2 on Machine 6 duration 383 mins.
Operation 3 on Machine 5 duration 148 mins.
Operation 4 on Machine 2 duration 382 mins.
Operation 5 on Machine 0 duration 302 mins.
Operation 6 on Machine 1 duration 130 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 301 mins.
Operation 1 on Machine 4 duration 132 mins.
Operation 2 on Machine 1 duration 1 mins.
Operation 3 on Machine 5 duration 298 mins.
Operation 4 on Machine 0 duration 372 mins.
Operation 5 on Machine 2 duration 91 mins.
Operation 6 on Machine 3 duration 339 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 237 mins.
Operation 1 on Machine 4 duration 267 mins.
Operation 2 on Machine 0 duration 256 mins.
Operation 3 on Machine 3 duration 58 mins.
Operation 4 on Machine 2 duration 154 mins.
Operation 5 on Machine 5 duration 83 mins.
Operation 6 on Machine 6 duration 87 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 293 mins.
Operation 1 on Machine 4 duration 144 mins.
Operation 2 on Machine 6 duration 138 mins.
Operation 3 on Machine 0 duration 10 mins.
Operation 4 on Machine 2 duration 281 mins.
Operation 5 on Machine 3 duration 379 mins.
Operation 6 on Machine 5 duration 240 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 387 mins.
Operation 1 on Machine 2 duration 294 mins.
Operation 2 on Machine 0 duration 390 mins.
Operation 3 on Machine 4 duration 270 mins.
Operation 4 on Machine 5 duration 365 mins.
Operation 5 on Machine 1 duration 275 mins.
Operation 6 on Machine 6 duration 343 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 351 mins.
Operation 1 on Machine 4 duration 219 mins.
Operation 2 on Machine 1 duration 363 mins.
Operation 3 on Machine 0 duration 355 mins.
Operation 4 on Machine 5 duration 226 mins.
Operation 5 on Machine 2 duration 123 mins.
Operation 6 on Machine 6 duration 279 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 6 duration 146 mins.
Operation 1 on Machine 4 duration 113 mins.
Operation 2 on Machine 5 duration 223 mins.
Operation 3 on Machine 2 duration 121 mins.
Operation 4 on Machine 3 duration 54 mins.
Operation 5 on Machine 1 duration 190 mins.
Operation 6 on Machine 0 duration 334 mins.
| Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 2 duration 256 mins.
Job 6 Operation 2 duration 390 mins.
Job 5 Operation 3 duration 10 mins.
Job 7 Operation 3 duration 355 mins.
Job 0 Operation 4 duration 77 mins.
Job 1 Operation 4 duration 366 mins.
Job 3 Operation 4 duration 372 mins.
Job 2 Operation 5 duration 302 mins.
Job 8 Operation 6 duration 334 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 63 mins.
Job 4 Operation 0 duration 237 mins.
Job 5 Operation 0 duration 293 mins.
Job 3 Operation 2 duration 1 mins.
Job 7 Operation 2 duration 363 mins.
Job 6 Operation 5 duration 275 mins.
Job 8 Operation 5 duration 190 mins.
Job 0 Operation 6 duration 234 mins.
Job 2 Operation 6 duration 130 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 1 duration 294 mins.
Job 1 Operation 2 duration 246 mins.
Job 8 Operation 3 duration 121 mins.
Job 2 Operation 4 duration 382 mins.
Job 4 Operation 4 duration 154 mins.
Job 5 Operation 4 duration 281 mins.
Job 0 Operation 5 duration 24 mins.
Job 3 Operation 5 duration 91 mins.
Job 7 Operation 5 duration 123 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 387 mins.
Job 7 Operation 0 duration 351 mins.
Job 2 Operation 1 duration 41 mins.
Job 0 Operation 2 duration 182 mins.
Job 4 Operation 3 duration 58 mins.
Job 8 Operation 4 duration 54 mins.
Job 5 Operation 5 duration 379 mins.
Job 1 Operation 6 duration 352 mins.
Job 3 Operation 6 duration 339 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 49 mins.
Job 1 Operation 1 duration 233 mins.
Job 3 Operation 1 duration 132 mins.
Job 4 Operation 1 duration 267 mins.
Job 5 Operation 1 duration 144 mins.
Job 7 Operation 1 duration 219 mins.
Job 8 Operation 1 duration 113 mins.
Job 0 Operation 3 duration 175 mins.
Job 6 Operation 3 duration 270 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 360 mins.
Job 8 Operation 2 duration 223 mins.
Job 2 Operation 3 duration 148 mins.
Job 3 Operation 3 duration 298 mins.
Job 6 Operation 4 duration 365 mins.
Job 7 Operation 4 duration 226 mins.
Job 1 Operation 5 duration 216 mins.
Job 4 Operation 5 duration 83 mins.
Job 5 Operation 6 duration 240 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 301 mins.
Job 8 Operation 0 duration 146 mins.
Job 0 Operation 1 duration 178 mins.
Job 2 Operation 2 duration 383 mins.
Job 5 Operation 2 duration 138 mins.
Job 1 Operation 3 duration 203 mins.
Job 4 Operation 6 duration 87 mins.
Job 6 Operation 6 duration 343 mins.
Job 7 Operation 6 duration 279 mins.
| Solution:
Job 4 Operation 0 on Machine 1 : 0 + 237 -> 237
Job 6 Operation 0 on Machine 3 : 0 + 387 -> 387
Job 2 Operation 0 on Machine 4 : 0 + 49 -> 49
Job 0 Operation 0 on Machine 5 : 0 + 360 -> 360
Job 3 Operation 0 on Machine 6 : 0 + 301 -> 301
Job 1 Operation 0 on Machine 1 : 237 + 63 -> 300
Job 4 Operation 1 on Machine 4 : 237 + 267 -> 504
Job 5 Operation 0 on Machine 1 : 300 + 293 -> 593
Job 6 Operation 1 on Machine 2 : 387 + 294 -> 681
Job 2 Operation 1 on Machine 3 : 387 + 41 -> 428
Job 7 Operation 0 on Machine 3 : 428 + 351 -> 779
Job 2 Operation 2 on Machine 6 : 428 + 383 -> 811
Job 4 Operation 2 on Machine 0 : 504 + 256 -> 760
Job 3 Operation 1 on Machine 4 : 504 + 132 -> 636
Job 3 Operation 2 on Machine 1 : 636 + 1 -> 637
Job 1 Operation 1 on Machine 4 : 636 + 233 -> 869
Job 3 Operation 3 on Machine 5 : 637 + 298 -> 935
Job 6 Operation 2 on Machine 0 : 760 + 390 -> 1150
Job 4 Operation 3 on Machine 3 : 779 + 58 -> 837
Job 0 Operation 1 on Machine 6 : 811 + 178 -> 989
Job 1 Operation 2 on Machine 2 : 869 + 246 -> 1115
Job 5 Operation 1 on Machine 4 : 869 + 144 -> 1013
Job 2 Operation 3 on Machine 5 : 935 + 148 -> 1083
Job 0 Operation 2 on Machine 3 : 989 + 182 -> 1171
Job 8 Operation 0 on Machine 6 : 989 + 146 -> 1135
Job 7 Operation 1 on Machine 4 : 1013 + 219 -> 1232
Job 2 Operation 4 on Machine 2 : 1115 + 382 -> 1497
Job 5 Operation 2 on Machine 6 : 1135 + 138 -> 1273
Job 3 Operation 4 on Machine 0 : 1150 + 372 -> 1522
Job 7 Operation 2 on Machine 1 : 1232 + 363 -> 1595
Job 8 Operation 1 on Machine 4 : 1232 + 113 -> 1345
Job 1 Operation 3 on Machine 6 : 1273 + 203 -> 1476
Job 6 Operation 3 on Machine 4 : 1345 + 270 -> 1615
Job 8 Operation 2 on Machine 5 : 1345 + 223 -> 1568
Job 5 Operation 3 on Machine 0 : 1522 + 10 -> 1532
Job 1 Operation 4 on Machine 0 : 1532 + 366 -> 1898
Job 5 Operation 4 on Machine 2 : 1532 + 281 -> 1813
Job 0 Operation 3 on Machine 4 : 1615 + 175 -> 1790
Job 6 Operation 4 on Machine 5 : 1615 + 365 -> 1980
Job 4 Operation 4 on Machine 2 : 1813 + 154 -> 1967
Job 5 Operation 5 on Machine 3 : 1813 + 379 -> 2192
Job 0 Operation 4 on Machine 0 : 1898 + 77 -> 1975
Job 3 Operation 5 on Machine 2 : 1967 + 91 -> 2058
Job 7 Operation 3 on Machine 0 : 1975 + 355 -> 2330
Job 6 Operation 5 on Machine 1 : 1980 + 275 -> 2255
Job 4 Operation 5 on Machine 5 : 1980 + 83 -> 2063
Job 8 Operation 3 on Machine 2 : 2058 + 121 -> 2179
Job 1 Operation 5 on Machine 5 : 2063 + 216 -> 2279
Job 4 Operation 6 on Machine 6 : 2063 + 87 -> 2150
Job 0 Operation 5 on Machine 2 : 2179 + 24 -> 2203
Job 8 Operation 4 on Machine 3 : 2192 + 54 -> 2246
Job 3 Operation 6 on Machine 3 : 2246 + 339 -> 2585
Job 8 Operation 5 on Machine 1 : 2255 + 190 -> 2445
Job 6 Operation 6 on Machine 6 : 2255 + 343 -> 2598
Job 2 Operation 5 on Machine 0 : 2330 + 302 -> 2632
Job 7 Operation 4 on Machine 5 : 2330 + 226 -> 2556
Job 0 Operation 6 on Machine 1 : 2445 + 234 -> 2679
Job 7 Operation 5 on Machine 2 : 2556 + 123 -> 2679
Job 5 Operation 6 on Machine 5 : 2556 + 240 -> 2796
Job 1 Operation 6 on Machine 3 : 2585 + 352 -> 2937
Job 8 Operation 6 on Machine 0 : 2632 + 334 -> 2966
Job 2 Operation 6 on Machine 1 : 2679 + 130 -> 2809
Job 7 Operation 6 on Machine 6 : 2679 + 279 -> 2958
Makespan: 2966.0, as it is the maximum end completion time of Operation 6 |
10 | 9 | Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 327 mins.
Operation 1 on Machine 5 duration 288 mins.
Operation 2 on Machine 6 duration 147 mins.
Operation 3 on Machine 8 duration 126 mins.
Operation 4 on Machine 3 duration 259 mins.
Operation 5 on Machine 2 duration 345 mins.
Operation 6 on Machine 7 duration 276 mins.
Operation 7 on Machine 1 duration 157 mins.
Operation 8 on Machine 0 duration 76 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 293 mins.
Operation 1 on Machine 8 duration 73 mins.
Operation 2 on Machine 6 duration 223 mins.
Operation 3 on Machine 4 duration 44 mins.
Operation 4 on Machine 5 duration 279 mins.
Operation 5 on Machine 3 duration 241 mins.
Operation 6 on Machine 7 duration 383 mins.
Operation 7 on Machine 0 duration 113 mins.
Operation 8 on Machine 1 duration 209 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 8 duration 162 mins.
Operation 1 on Machine 1 duration 145 mins.
Operation 2 on Machine 6 duration 49 mins.
Operation 3 on Machine 4 duration 371 mins.
Operation 4 on Machine 7 duration 47 mins.
Operation 5 on Machine 5 duration 277 mins.
Operation 6 on Machine 3 duration 382 mins.
Operation 7 on Machine 0 duration 349 mins.
Operation 8 on Machine 2 duration 396 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 312 mins.
Operation 1 on Machine 0 duration 351 mins.
Operation 2 on Machine 5 duration 209 mins.
Operation 3 on Machine 6 duration 229 mins.
Operation 4 on Machine 8 duration 233 mins.
Operation 5 on Machine 7 duration 411 mins.
Operation 6 on Machine 3 duration 43 mins.
Operation 7 on Machine 1 duration 132 mins.
Operation 8 on Machine 2 duration 104 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 223 mins.
Operation 1 on Machine 5 duration 392 mins.
Operation 2 on Machine 1 duration 251 mins.
Operation 3 on Machine 4 duration 358 mins.
Operation 4 on Machine 8 duration 368 mins.
Operation 5 on Machine 2 duration 300 mins.
Operation 6 on Machine 7 duration 329 mins.
Operation 7 on Machine 3 duration 105 mins.
Operation 8 on Machine 0 duration 131 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 7 duration 370 mins.
Operation 1 on Machine 4 duration 193 mins.
Operation 2 on Machine 3 duration 89 mins.
Operation 3 on Machine 2 duration 254 mins.
Operation 4 on Machine 6 duration 250 mins.
Operation 5 on Machine 0 duration 323 mins.
Operation 6 on Machine 5 duration 212 mins.
Operation 7 on Machine 8 duration 171 mins.
Operation 8 on Machine 1 duration 378 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 8 duration 255 mins.
Operation 1 on Machine 5 duration 280 mins.
Operation 2 on Machine 1 duration 36 mins.
Operation 3 on Machine 0 duration 357 mins.
Operation 4 on Machine 7 duration 386 mins.
Operation 5 on Machine 4 duration 188 mins.
Operation 6 on Machine 2 duration 332 mins.
Operation 7 on Machine 6 duration 290 mins.
Operation 8 on Machine 3 duration 199 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 129 mins.
Operation 1 on Machine 5 duration 384 mins.
Operation 2 on Machine 3 duration 232 mins.
Operation 3 on Machine 7 duration 7 mins.
Operation 4 on Machine 6 duration 314 mins.
Operation 5 on Machine 2 duration 95 mins.
Operation 6 on Machine 1 duration 137 mins.
Operation 7 on Machine 4 duration 268 mins.
Operation 8 on Machine 8 duration 53 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 86 mins.
Operation 1 on Machine 8 duration 41 mins.
Operation 2 on Machine 0 duration 205 mins.
Operation 3 on Machine 6 duration 101 mins.
Operation 4 on Machine 4 duration 54 mins.
Operation 5 on Machine 2 duration 236 mins.
Operation 6 on Machine 7 duration 23 mins.
Operation 7 on Machine 1 duration 274 mins.
Operation 8 on Machine 5 duration 363 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 146 mins.
Operation 1 on Machine 3 duration 398 mins.
Operation 2 on Machine 7 duration 259 mins.
Operation 3 on Machine 0 duration 88 mins.
Operation 4 on Machine 8 duration 47 mins.
Operation 5 on Machine 6 duration 281 mins.
Operation 6 on Machine 1 duration 358 mins.
Operation 7 on Machine 5 duration 10 mins.
Operation 8 on Machine 2 duration 231 mins.
| Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 7 Operation 0 duration 129 mins.
Job 3 Operation 1 duration 351 mins.
Job 8 Operation 2 duration 205 mins.
Job 6 Operation 3 duration 357 mins.
Job 9 Operation 3 duration 88 mins.
Job 5 Operation 5 duration 323 mins.
Job 1 Operation 7 duration 113 mins.
Job 2 Operation 7 duration 349 mins.
Job 0 Operation 8 duration 76 mins.
Job 4 Operation 8 duration 131 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 1 duration 145 mins.
Job 4 Operation 2 duration 251 mins.
Job 6 Operation 2 duration 36 mins.
Job 7 Operation 6 duration 137 mins.
Job 9 Operation 6 duration 358 mins.
Job 0 Operation 7 duration 157 mins.
Job 3 Operation 7 duration 132 mins.
Job 8 Operation 7 duration 274 mins.
Job 1 Operation 8 duration 209 mins.
Job 5 Operation 8 duration 378 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 293 mins.
Job 5 Operation 3 duration 254 mins.
Job 0 Operation 5 duration 345 mins.
Job 4 Operation 5 duration 300 mins.
Job 7 Operation 5 duration 95 mins.
Job 8 Operation 5 duration 236 mins.
Job 6 Operation 6 duration 332 mins.
Job 2 Operation 8 duration 396 mins.
Job 3 Operation 8 duration 104 mins.
Job 9 Operation 8 duration 231 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 0 duration 86 mins.
Job 9 Operation 1 duration 398 mins.
Job 5 Operation 2 duration 89 mins.
Job 7 Operation 2 duration 232 mins.
Job 0 Operation 4 duration 259 mins.
Job 1 Operation 5 duration 241 mins.
Job 2 Operation 6 duration 382 mins.
Job 3 Operation 6 duration 43 mins.
Job 4 Operation 7 duration 105 mins.
Job 6 Operation 8 duration 199 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 327 mins.
Job 3 Operation 0 duration 312 mins.
Job 9 Operation 0 duration 146 mins.
Job 5 Operation 1 duration 193 mins.
Job 1 Operation 3 duration 44 mins.
Job 2 Operation 3 duration 371 mins.
Job 4 Operation 3 duration 358 mins.
Job 8 Operation 4 duration 54 mins.
Job 6 Operation 5 duration 188 mins.
Job 7 Operation 7 duration 268 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 1 duration 288 mins.
Job 4 Operation 1 duration 392 mins.
Job 6 Operation 1 duration 280 mins.
Job 7 Operation 1 duration 384 mins.
Job 3 Operation 2 duration 209 mins.
Job 1 Operation 4 duration 279 mins.
Job 2 Operation 5 duration 277 mins.
Job 5 Operation 6 duration 212 mins.
Job 9 Operation 7 duration 10 mins.
Job 8 Operation 8 duration 363 mins.
Machine 6 is used for the following Operations:
Job 4 Operation 0 duration 223 mins.
Job 0 Operation 2 duration 147 mins.
Job 1 Operation 2 duration 223 mins.
Job 2 Operation 2 duration 49 mins.
Job 3 Operation 3 duration 229 mins.
Job 8 Operation 3 duration 101 mins.
Job 5 Operation 4 duration 250 mins.
Job 7 Operation 4 duration 314 mins.
Job 9 Operation 5 duration 281 mins.
Job 6 Operation 7 duration 290 mins.
Machine 7 is used for the following Operations:
Job 5 Operation 0 duration 370 mins.
Job 9 Operation 2 duration 259 mins.
Job 7 Operation 3 duration 7 mins.
Job 2 Operation 4 duration 47 mins.
Job 6 Operation 4 duration 386 mins.
Job 3 Operation 5 duration 411 mins.
Job 0 Operation 6 duration 276 mins.
Job 1 Operation 6 duration 383 mins.
Job 4 Operation 6 duration 329 mins.
Job 8 Operation 6 duration 23 mins.
Machine 8 is used for the following Operations:
Job 2 Operation 0 duration 162 mins.
Job 6 Operation 0 duration 255 mins.
Job 1 Operation 1 duration 73 mins.
Job 8 Operation 1 duration 41 mins.
Job 0 Operation 3 duration 126 mins.
Job 3 Operation 4 duration 233 mins.
Job 4 Operation 4 duration 368 mins.
Job 9 Operation 4 duration 47 mins.
Job 5 Operation 7 duration 171 mins.
Job 7 Operation 8 duration 53 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 129 -> 129
Job 1 Operation 0 on Machine 2 : 0 + 293 -> 293
Job 8 Operation 0 on Machine 3 : 0 + 86 -> 86
Job 9 Operation 0 on Machine 4 : 0 + 146 -> 146
Job 4 Operation 0 on Machine 6 : 0 + 223 -> 223
Job 5 Operation 0 on Machine 7 : 0 + 370 -> 370
Job 6 Operation 0 on Machine 8 : 0 + 255 -> 255
Job 9 Operation 1 on Machine 3 : 146 + 398 -> 544
Job 0 Operation 0 on Machine 4 : 146 + 327 -> 473
Job 6 Operation 1 on Machine 5 : 255 + 280 -> 535
Job 1 Operation 1 on Machine 8 : 293 + 73 -> 366
Job 1 Operation 2 on Machine 6 : 366 + 223 -> 589
Job 8 Operation 1 on Machine 8 : 366 + 41 -> 407
Job 8 Operation 2 on Machine 0 : 407 + 205 -> 612
Job 2 Operation 0 on Machine 8 : 407 + 162 -> 569
Job 5 Operation 1 on Machine 4 : 473 + 193 -> 666
Job 6 Operation 2 on Machine 1 : 535 + 36 -> 571
Job 0 Operation 1 on Machine 5 : 535 + 288 -> 823
Job 9 Operation 2 on Machine 7 : 544 + 259 -> 803
Job 2 Operation 1 on Machine 1 : 571 + 145 -> 716
Job 6 Operation 3 on Machine 0 : 612 + 357 -> 969
Job 8 Operation 3 on Machine 6 : 612 + 101 -> 713
Job 5 Operation 2 on Machine 3 : 666 + 89 -> 755
Job 8 Operation 4 on Machine 4 : 713 + 54 -> 767
Job 2 Operation 2 on Machine 6 : 716 + 49 -> 765
Job 8 Operation 5 on Machine 2 : 767 + 236 -> 1003
Job 1 Operation 3 on Machine 4 : 767 + 44 -> 811
Job 3 Operation 0 on Machine 4 : 811 + 312 -> 1123
Job 4 Operation 1 on Machine 5 : 823 + 392 -> 1215
Job 0 Operation 2 on Machine 6 : 823 + 147 -> 970
Job 9 Operation 3 on Machine 0 : 969 + 88 -> 1057
Job 0 Operation 3 on Machine 8 : 970 + 126 -> 1096
Job 5 Operation 3 on Machine 2 : 1003 + 254 -> 1257
Job 8 Operation 6 on Machine 7 : 1003 + 23 -> 1026
Job 8 Operation 7 on Machine 1 : 1026 + 274 -> 1300
Job 6 Operation 4 on Machine 7 : 1026 + 386 -> 1412
Job 0 Operation 4 on Machine 3 : 1096 + 259 -> 1355
Job 9 Operation 4 on Machine 8 : 1096 + 47 -> 1143
Job 3 Operation 1 on Machine 0 : 1123 + 351 -> 1474
Job 2 Operation 3 on Machine 4 : 1123 + 371 -> 1494
Job 9 Operation 5 on Machine 6 : 1143 + 281 -> 1424
Job 1 Operation 4 on Machine 5 : 1215 + 279 -> 1494
Job 4 Operation 2 on Machine 1 : 1300 + 251 -> 1551
Job 0 Operation 5 on Machine 2 : 1355 + 345 -> 1700
Job 5 Operation 4 on Machine 6 : 1424 + 250 -> 1674
Job 1 Operation 5 on Machine 3 : 1494 + 241 -> 1735
Job 6 Operation 5 on Machine 4 : 1494 + 188 -> 1682
Job 3 Operation 2 on Machine 5 : 1494 + 209 -> 1703
Job 2 Operation 4 on Machine 7 : 1494 + 47 -> 1541
Job 9 Operation 6 on Machine 1 : 1551 + 358 -> 1909
Job 5 Operation 5 on Machine 0 : 1674 + 323 -> 1997
Job 4 Operation 3 on Machine 4 : 1682 + 358 -> 2040
Job 6 Operation 6 on Machine 2 : 1700 + 332 -> 2032
Job 0 Operation 6 on Machine 7 : 1700 + 276 -> 1976
Job 7 Operation 1 on Machine 5 : 1703 + 384 -> 2087
Job 3 Operation 3 on Machine 6 : 1703 + 229 -> 1932
Job 3 Operation 4 on Machine 8 : 1932 + 233 -> 2165
Job 1 Operation 6 on Machine 7 : 1976 + 383 -> 2359
Job 7 Operation 2 on Machine 3 : 2087 + 232 -> 2319
Job 9 Operation 7 on Machine 5 : 2087 + 10 -> 2097
Job 9 Operation 8 on Machine 2 : 2097 + 231 -> 2328
Job 2 Operation 5 on Machine 5 : 2097 + 277 -> 2374
Job 4 Operation 4 on Machine 8 : 2165 + 368 -> 2533
Job 1 Operation 7 on Machine 0 : 2359 + 113 -> 2472
Job 7 Operation 3 on Machine 7 : 2359 + 7 -> 2366
Job 7 Operation 4 on Machine 6 : 2366 + 314 -> 2680
Job 3 Operation 5 on Machine 7 : 2366 + 411 -> 2777
Job 2 Operation 6 on Machine 3 : 2374 + 382 -> 2756
Job 5 Operation 6 on Machine 5 : 2374 + 212 -> 2586
Job 1 Operation 8 on Machine 1 : 2472 + 209 -> 2681
Job 4 Operation 5 on Machine 2 : 2533 + 300 -> 2833
Job 8 Operation 8 on Machine 5 : 2586 + 363 -> 2949
Job 5 Operation 7 on Machine 8 : 2586 + 171 -> 2757
Job 6 Operation 7 on Machine 6 : 2680 + 290 -> 2970
Job 0 Operation 7 on Machine 1 : 2681 + 157 -> 2838
Job 2 Operation 7 on Machine 0 : 2756 + 349 -> 3105
Job 3 Operation 6 on Machine 3 : 2777 + 43 -> 2820
Job 7 Operation 5 on Machine 2 : 2833 + 95 -> 2928
Job 4 Operation 6 on Machine 7 : 2833 + 329 -> 3162
Job 3 Operation 7 on Machine 1 : 2838 + 132 -> 2970
Job 7 Operation 6 on Machine 1 : 2970 + 137 -> 3107
Job 3 Operation 8 on Machine 2 : 2970 + 104 -> 3074
Job 6 Operation 8 on Machine 3 : 2970 + 199 -> 3169
Job 0 Operation 8 on Machine 0 : 3105 + 76 -> 3181
Job 2 Operation 8 on Machine 2 : 3105 + 396 -> 3501
Job 5 Operation 8 on Machine 1 : 3107 + 378 -> 3485
Job 7 Operation 7 on Machine 4 : 3107 + 268 -> 3375
Job 4 Operation 7 on Machine 3 : 3169 + 105 -> 3274
Job 4 Operation 8 on Machine 0 : 3274 + 131 -> 3405
Job 7 Operation 8 on Machine 8 : 3375 + 53 -> 3428
Makespan: 3501.0, as it is the maximum end completion time of Operation 8 |
20 | 15 | Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 59 mins.
Operation 1 on Machine 4 duration 110 mins.
Operation 2 on Machine 3 duration 111 mins.
Operation 3 on Machine 14 duration 53 mins.
Operation 4 on Machine 12 duration 36 mins.
Operation 5 on Machine 8 duration 39 mins.
Operation 6 on Machine 10 duration 2 mins.
Operation 7 on Machine 11 duration 37 mins.
Operation 8 on Machine 9 duration 103 mins.
Operation 9 on Machine 7 duration 42 mins.
Operation 10 on Machine 13 duration 91 mins.
Operation 11 on Machine 0 duration 38 mins.
Operation 12 on Machine 2 duration 70 mins.
Operation 13 on Machine 6 duration 110 mins.
Operation 14 on Machine 1 duration 115 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 51 mins.
Operation 1 on Machine 0 duration 13 mins.
Operation 2 on Machine 1 duration 26 mins.
Operation 3 on Machine 2 duration 118 mins.
Operation 4 on Machine 12 duration 100 mins.
Operation 5 on Machine 7 duration 53 mins.
Operation 6 on Machine 10 duration 51 mins.
Operation 7 on Machine 11 duration 93 mins.
Operation 8 on Machine 5 duration 2 mins.
Operation 9 on Machine 8 duration 84 mins.
Operation 10 on Machine 4 duration 82 mins.
Operation 11 on Machine 9 duration 83 mins.
Operation 12 on Machine 13 duration 23 mins.
Operation 13 on Machine 6 duration 10 mins.
Operation 14 on Machine 14 duration 17 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 45 mins.
Operation 1 on Machine 7 duration 99 mins.
Operation 2 on Machine 6 duration 76 mins.
Operation 3 on Machine 11 duration 72 mins.
Operation 4 on Machine 3 duration 22 mins.
Operation 5 on Machine 5 duration 83 mins.
Operation 6 on Machine 0 duration 73 mins.
Operation 7 on Machine 8 duration 81 mins.
Operation 8 on Machine 13 duration 118 mins.
Operation 9 on Machine 14 duration 94 mins.
Operation 10 on Machine 9 duration 95 mins.
Operation 11 on Machine 2 duration 18 mins.
Operation 12 on Machine 12 duration 74 mins.
Operation 13 on Machine 10 duration 22 mins.
Operation 14 on Machine 1 duration 19 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 9 duration 112 mins.
Operation 1 on Machine 12 duration 97 mins.
Operation 2 on Machine 11 duration 110 mins.
Operation 3 on Machine 7 duration 19 mins.
Operation 4 on Machine 4 duration 46 mins.
Operation 5 on Machine 1 duration 45 mins.
Operation 6 on Machine 10 duration 5 mins.
Operation 7 on Machine 8 duration 25 mins.
Operation 8 on Machine 2 duration 74 mins.
Operation 9 on Machine 14 duration 48 mins.
Operation 10 on Machine 13 duration 42 mins.
Operation 11 on Machine 5 duration 119 mins.
Operation 12 on Machine 6 duration 4 mins.
Operation 13 on Machine 0 duration 58 mins.
Operation 14 on Machine 3 duration 52 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 77 mins.
Operation 1 on Machine 2 duration 57 mins.
Operation 2 on Machine 14 duration 12 mins.
Operation 3 on Machine 4 duration 3 mins.
Operation 4 on Machine 0 duration 34 mins.
Operation 5 on Machine 7 duration 38 mins.
Operation 6 on Machine 11 duration 101 mins.
Operation 7 on Machine 10 duration 68 mins.
Operation 8 on Machine 5 duration 84 mins.
Operation 9 on Machine 9 duration 17 mins.
Operation 10 on Machine 12 duration 41 mins.
Operation 11 on Machine 6 duration 73 mins.
Operation 12 on Machine 8 duration 1 mins.
Operation 13 on Machine 1 duration 9 mins.
Operation 14 on Machine 13 duration 106 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 112 mins.
Operation 1 on Machine 0 duration 62 mins.
Operation 2 on Machine 9 duration 84 mins.
Operation 3 on Machine 14 duration 31 mins.
Operation 4 on Machine 7 duration 31 mins.
Operation 5 on Machine 11 duration 17 mins.
Operation 6 on Machine 4 duration 49 mins.
Operation 7 on Machine 10 duration 120 mins.
Operation 8 on Machine 6 duration 61 mins.
Operation 9 on Machine 5 duration 89 mins.
Operation 10 on Machine 2 duration 19 mins.
Operation 11 on Machine 13 duration 26 mins.
Operation 12 on Machine 12 duration 11 mins.
Operation 13 on Machine 8 duration 3 mins.
Operation 14 on Machine 1 duration 107 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 71 mins.
Operation 1 on Machine 6 duration 4 mins.
Operation 2 on Machine 5 duration 91 mins.
Operation 3 on Machine 13 duration 32 mins.
Operation 4 on Machine 3 duration 54 mins.
Operation 5 on Machine 12 duration 56 mins.
Operation 6 on Machine 1 duration 38 mins.
Operation 7 on Machine 2 duration 94 mins.
Operation 8 on Machine 0 duration 111 mins.
Operation 9 on Machine 9 duration 55 mins.
Operation 10 on Machine 11 duration 16 mins.
Operation 11 on Machine 8 duration 79 mins.
Operation 12 on Machine 14 duration 49 mins.
Operation 13 on Machine 10 duration 114 mins.
Operation 14 on Machine 7 duration 9 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 29 mins.
Operation 1 on Machine 8 duration 113 mins.
Operation 2 on Machine 2 duration 78 mins.
Operation 3 on Machine 3 duration 76 mins.
Operation 4 on Machine 12 duration 8 mins.
Operation 5 on Machine 14 duration 109 mins.
Operation 6 on Machine 0 duration 89 mins.
Operation 7 on Machine 13 duration 60 mins.
Operation 8 on Machine 1 duration 112 mins.
Operation 9 on Machine 4 duration 108 mins.
Operation 10 on Machine 9 duration 101 mins.
Operation 11 on Machine 7 duration 31 mins.
Operation 12 on Machine 6 duration 55 mins.
Operation 13 on Machine 11 duration 115 mins.
Operation 14 on Machine 10 duration 103 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 66 mins.
Operation 1 on Machine 3 duration 79 mins.
Operation 2 on Machine 2 duration 71 mins.
Operation 3 on Machine 13 duration 56 mins.
Operation 4 on Machine 9 duration 16 mins.
Operation 5 on Machine 8 duration 32 mins.
Operation 6 on Machine 6 duration 3 mins.
Operation 7 on Machine 10 duration 87 mins.
Operation 8 on Machine 1 duration 67 mins.
Operation 9 on Machine 11 duration 57 mins.
Operation 10 on Machine 0 duration 73 mins.
Operation 11 on Machine 4 duration 89 mins.
Operation 12 on Machine 7 duration 15 mins.
Operation 13 on Machine 14 duration 78 mins.
Operation 14 on Machine 12 duration 107 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 10 duration 96 mins.
Operation 1 on Machine 6 duration 105 mins.
Operation 2 on Machine 11 duration 43 mins.
Operation 3 on Machine 8 duration 28 mins.
Operation 4 on Machine 2 duration 40 mins.
Operation 5 on Machine 3 duration 114 mins.
Operation 6 on Machine 12 duration 44 mins.
Operation 7 on Machine 0 duration 32 mins.
Operation 8 on Machine 1 duration 48 mins.
Operation 9 on Machine 7 duration 49 mins.
Operation 10 on Machine 5 duration 71 mins.
Operation 11 on Machine 13 duration 89 mins.
Operation 12 on Machine 9 duration 111 mins.
Operation 13 on Machine 4 duration 67 mins.
Operation 14 on Machine 14 duration 64 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 4 duration 112 mins.
Operation 1 on Machine 12 duration 61 mins.
Operation 2 on Machine 0 duration 60 mins.
Operation 3 on Machine 1 duration 37 mins.
Operation 4 on Machine 10 duration 47 mins.
Operation 5 on Machine 14 duration 3 mins.
Operation 6 on Machine 5 duration 116 mins.
Operation 7 on Machine 2 duration 4 mins.
Operation 8 on Machine 9 duration 20 mins.
Operation 9 on Machine 13 duration 6 mins.
Operation 10 on Machine 3 duration 4 mins.
Operation 11 on Machine 11 duration 14 mins.
Operation 12 on Machine 6 duration 105 mins.
Operation 13 on Machine 7 duration 80 mins.
Operation 14 on Machine 8 duration 114 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 11 duration 79 mins.
Operation 1 on Machine 6 duration 51 mins.
Operation 2 on Machine 1 duration 56 mins.
Operation 3 on Machine 3 duration 45 mins.
Operation 4 on Machine 13 duration 5 mins.
Operation 5 on Machine 10 duration 81 mins.
Operation 6 on Machine 12 duration 109 mins.
Operation 7 on Machine 5 duration 86 mins.
Operation 8 on Machine 2 duration 108 mins.
Operation 9 on Machine 0 duration 77 mins.
Operation 10 on Machine 9 duration 2 mins.
Operation 11 on Machine 8 duration 81 mins.
Operation 12 on Machine 14 duration 45 mins.
Operation 13 on Machine 4 duration 19 mins.
Operation 14 on Machine 7 duration 41 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 12 duration 90 mins.
Operation 1 on Machine 14 duration 82 mins.
Operation 2 on Machine 10 duration 20 mins.
Operation 3 on Machine 2 duration 27 mins.
Operation 4 on Machine 11 duration 29 mins.
Operation 5 on Machine 5 duration 84 mins.
Operation 6 on Machine 4 duration 110 mins.
Operation 7 on Machine 3 duration 12 mins.
Operation 8 on Machine 1 duration 120 mins.
Operation 9 on Machine 0 duration 73 mins.
Operation 10 on Machine 13 duration 62 mins.
Operation 11 on Machine 9 duration 108 mins.
Operation 12 on Machine 7 duration 64 mins.
Operation 13 on Machine 6 duration 96 mins.
Operation 14 on Machine 8 duration 2 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 14 duration 16 mins.
Operation 1 on Machine 5 duration 105 mins.
Operation 2 on Machine 6 duration 75 mins.
Operation 3 on Machine 13 duration 82 mins.
Operation 4 on Machine 11 duration 107 mins.
Operation 5 on Machine 10 duration 27 mins.
Operation 6 on Machine 0 duration 99 mins.
Operation 7 on Machine 7 duration 4 mins.
Operation 8 on Machine 1 duration 101 mins.
Operation 9 on Machine 2 duration 62 mins.
Operation 10 on Machine 12 duration 46 mins.
Operation 11 on Machine 9 duration 22 mins.
Operation 12 on Machine 8 duration 44 mins.
Operation 13 on Machine 4 duration 72 mins.
Operation 14 on Machine 3 duration 74 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 9 duration 118 mins.
Operation 1 on Machine 12 duration 25 mins.
Operation 2 on Machine 3 duration 40 mins.
Operation 3 on Machine 14 duration 66 mins.
Operation 4 on Machine 0 duration 32 mins.
Operation 5 on Machine 10 duration 21 mins.
Operation 6 on Machine 7 duration 106 mins.
Operation 7 on Machine 6 duration 47 mins.
Operation 8 on Machine 5 duration 107 mins.
Operation 9 on Machine 1 duration 101 mins.
Operation 10 on Machine 13 duration 57 mins.
Operation 11 on Machine 11 duration 50 mins.
Operation 12 on Machine 8 duration 12 mins.
Operation 13 on Machine 2 duration 23 mins.
Operation 14 on Machine 4 duration 6 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 2 duration 46 mins.
Operation 1 on Machine 5 duration 24 mins.
Operation 2 on Machine 4 duration 54 mins.
Operation 3 on Machine 0 duration 28 mins.
Operation 4 on Machine 14 duration 107 mins.
Operation 5 on Machine 6 duration 40 mins.
Operation 6 on Machine 10 duration 9 mins.
Operation 7 on Machine 8 duration 34 mins.
Operation 8 on Machine 12 duration 49 mins.
Operation 9 on Machine 3 duration 90 mins.
Operation 10 on Machine 13 duration 17 mins.
Operation 11 on Machine 7 duration 119 mins.
Operation 12 on Machine 11 duration 96 mins.
Operation 13 on Machine 1 duration 50 mins.
Operation 14 on Machine 9 duration 3 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 13 duration 93 mins.
Operation 1 on Machine 11 duration 96 mins.
Operation 2 on Machine 7 duration 83 mins.
Operation 3 on Machine 6 duration 103 mins.
Operation 4 on Machine 9 duration 50 mins.
Operation 5 on Machine 1 duration 2 mins.
Operation 6 on Machine 2 duration 48 mins.
Operation 7 on Machine 10 duration 84 mins.
Operation 8 on Machine 3 duration 103 mins.
Operation 9 on Machine 5 duration 56 mins.
Operation 10 on Machine 4 duration 24 mins.
Operation 11 on Machine 8 duration 30 mins.
Operation 12 on Machine 0 duration 66 mins.
Operation 13 on Machine 12 duration 86 mins.
Operation 14 on Machine 14 duration 19 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 13 duration 15 mins.
Operation 1 on Machine 1 duration 81 mins.
Operation 2 on Machine 9 duration 105 mins.
Operation 3 on Machine 6 duration 31 mins.
Operation 4 on Machine 10 duration 38 mins.
Operation 5 on Machine 3 duration 48 mins.
Operation 6 on Machine 14 duration 55 mins.
Operation 7 on Machine 2 duration 64 mins.
Operation 8 on Machine 11 duration 95 mins.
Operation 9 on Machine 5 duration 94 mins.
Operation 10 on Machine 0 duration 66 mins.
Operation 11 on Machine 8 duration 56 mins.
Operation 12 on Machine 7 duration 101 mins.
Operation 13 on Machine 12 duration 72 mins.
Operation 14 on Machine 4 duration 17 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 10 duration 8 mins.
Operation 1 on Machine 13 duration 39 mins.
Operation 2 on Machine 14 duration 103 mins.
Operation 3 on Machine 11 duration 32 mins.
Operation 4 on Machine 5 duration 12 mins.
Operation 5 on Machine 2 duration 56 mins.
Operation 6 on Machine 8 duration 13 mins.
Operation 7 on Machine 7 duration 64 mins.
Operation 8 on Machine 9 duration 103 mins.
Operation 9 on Machine 12 duration 55 mins.
Operation 10 on Machine 4 duration 80 mins.
Operation 11 on Machine 0 duration 38 mins.
Operation 12 on Machine 3 duration 97 mins.
Operation 13 on Machine 1 duration 51 mins.
Operation 14 on Machine 6 duration 116 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 4 duration 102 mins.
Operation 1 on Machine 12 duration 27 mins.
Operation 2 on Machine 0 duration 73 mins.
Operation 3 on Machine 3 duration 22 mins.
Operation 4 on Machine 13 duration 62 mins.
Operation 5 on Machine 10 duration 23 mins.
Operation 6 on Machine 7 duration 96 mins.
Operation 7 on Machine 14 duration 92 mins.
Operation 8 on Machine 11 duration 72 mins.
Operation 9 on Machine 5 duration 37 mins.
Operation 10 on Machine 1 duration 73 mins.
Operation 11 on Machine 8 duration 28 mins.
Operation 12 on Machine 6 duration 102 mins.
Operation 13 on Machine 2 duration 3 mins.
Operation 14 on Machine 9 duration 14 mins.
| Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 13 mins.
Job 5 Operation 1 duration 62 mins.
Job 10 Operation 2 duration 60 mins.
Job 19 Operation 2 duration 73 mins.
Job 15 Operation 3 duration 28 mins.
Job 4 Operation 4 duration 34 mins.
Job 14 Operation 4 duration 32 mins.
Job 2 Operation 6 duration 73 mins.
Job 7 Operation 6 duration 89 mins.
Job 13 Operation 6 duration 99 mins.
Job 9 Operation 7 duration 32 mins.
Job 6 Operation 8 duration 111 mins.
Job 11 Operation 9 duration 77 mins.
Job 12 Operation 9 duration 73 mins.
Job 8 Operation 10 duration 73 mins.
Job 17 Operation 10 duration 66 mins.
Job 0 Operation 11 duration 38 mins.
Job 18 Operation 11 duration 38 mins.
Job 16 Operation 12 duration 66 mins.
Job 3 Operation 13 duration 58 mins.
Machine 1 is used for the following Operations:
Job 17 Operation 1 duration 81 mins.
Job 1 Operation 2 duration 26 mins.
Job 11 Operation 2 duration 56 mins.
Job 10 Operation 3 duration 37 mins.
Job 3 Operation 5 duration 45 mins.
Job 16 Operation 5 duration 2 mins.
Job 6 Operation 6 duration 38 mins.
Job 7 Operation 8 duration 112 mins.
Job 8 Operation 8 duration 67 mins.
Job 9 Operation 8 duration 48 mins.
Job 12 Operation 8 duration 120 mins.
Job 13 Operation 8 duration 101 mins.
Job 14 Operation 9 duration 101 mins.
Job 19 Operation 10 duration 73 mins.
Job 4 Operation 13 duration 9 mins.
Job 15 Operation 13 duration 50 mins.
Job 18 Operation 13 duration 51 mins.
Job 0 Operation 14 duration 115 mins.
Job 2 Operation 14 duration 19 mins.
Job 5 Operation 14 duration 107 mins.
Machine 2 is used for the following Operations:
Job 15 Operation 0 duration 46 mins.
Job 4 Operation 1 duration 57 mins.
Job 7 Operation 2 duration 78 mins.
Job 8 Operation 2 duration 71 mins.
Job 1 Operation 3 duration 118 mins.
Job 12 Operation 3 duration 27 mins.
Job 9 Operation 4 duration 40 mins.
Job 18 Operation 5 duration 56 mins.
Job 16 Operation 6 duration 48 mins.
Job 6 Operation 7 duration 94 mins.
Job 10 Operation 7 duration 4 mins.
Job 17 Operation 7 duration 64 mins.
Job 3 Operation 8 duration 74 mins.
Job 11 Operation 8 duration 108 mins.
Job 13 Operation 9 duration 62 mins.
Job 5 Operation 10 duration 19 mins.
Job 2 Operation 11 duration 18 mins.
Job 0 Operation 12 duration 70 mins.
Job 14 Operation 13 duration 23 mins.
Job 19 Operation 13 duration 3 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 51 mins.
Job 4 Operation 0 duration 77 mins.
Job 5 Operation 0 duration 112 mins.
Job 8 Operation 1 duration 79 mins.
Job 0 Operation 2 duration 111 mins.
Job 14 Operation 2 duration 40 mins.
Job 7 Operation 3 duration 76 mins.
Job 11 Operation 3 duration 45 mins.
Job 19 Operation 3 duration 22 mins.
Job 2 Operation 4 duration 22 mins.
Job 6 Operation 4 duration 54 mins.
Job 9 Operation 5 duration 114 mins.
Job 17 Operation 5 duration 48 mins.
Job 12 Operation 7 duration 12 mins.
Job 16 Operation 8 duration 103 mins.
Job 15 Operation 9 duration 90 mins.
Job 10 Operation 10 duration 4 mins.
Job 18 Operation 12 duration 97 mins.
Job 3 Operation 14 duration 52 mins.
Job 13 Operation 14 duration 74 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 45 mins.
Job 6 Operation 0 duration 71 mins.
Job 10 Operation 0 duration 112 mins.
Job 19 Operation 0 duration 102 mins.
Job 0 Operation 1 duration 110 mins.
Job 15 Operation 2 duration 54 mins.
Job 4 Operation 3 duration 3 mins.
Job 3 Operation 4 duration 46 mins.
Job 5 Operation 6 duration 49 mins.
Job 12 Operation 6 duration 110 mins.
Job 7 Operation 9 duration 108 mins.
Job 1 Operation 10 duration 82 mins.
Job 16 Operation 10 duration 24 mins.
Job 18 Operation 10 duration 80 mins.
Job 8 Operation 11 duration 89 mins.
Job 9 Operation 13 duration 67 mins.
Job 11 Operation 13 duration 19 mins.
Job 13 Operation 13 duration 72 mins.
Job 14 Operation 14 duration 6 mins.
Job 17 Operation 14 duration 17 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 59 mins.
Job 7 Operation 0 duration 29 mins.
Job 8 Operation 0 duration 66 mins.
Job 13 Operation 1 duration 105 mins.
Job 15 Operation 1 duration 24 mins.
Job 6 Operation 2 duration 91 mins.
Job 18 Operation 4 duration 12 mins.
Job 2 Operation 5 duration 83 mins.
Job 12 Operation 5 duration 84 mins.
Job 10 Operation 6 duration 116 mins.
Job 11 Operation 7 duration 86 mins.
Job 1 Operation 8 duration 2 mins.
Job 4 Operation 8 duration 84 mins.
Job 14 Operation 8 duration 107 mins.
Job 5 Operation 9 duration 89 mins.
Job 16 Operation 9 duration 56 mins.
Job 17 Operation 9 duration 94 mins.
Job 19 Operation 9 duration 37 mins.
Job 9 Operation 10 duration 71 mins.
Job 3 Operation 11 duration 119 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 1 duration 4 mins.
Job 9 Operation 1 duration 105 mins.
Job 11 Operation 1 duration 51 mins.
Job 2 Operation 2 duration 76 mins.
Job 13 Operation 2 duration 75 mins.
Job 16 Operation 3 duration 103 mins.
Job 17 Operation 3 duration 31 mins.
Job 15 Operation 5 duration 40 mins.
Job 8 Operation 6 duration 3 mins.
Job 14 Operation 7 duration 47 mins.
Job 5 Operation 8 duration 61 mins.
Job 4 Operation 11 duration 73 mins.
Job 3 Operation 12 duration 4 mins.
Job 7 Operation 12 duration 55 mins.
Job 10 Operation 12 duration 105 mins.
Job 19 Operation 12 duration 102 mins.
Job 0 Operation 13 duration 110 mins.
Job 1 Operation 13 duration 10 mins.
Job 12 Operation 13 duration 96 mins.
Job 18 Operation 14 duration 116 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 1 duration 99 mins.
Job 16 Operation 2 duration 83 mins.
Job 3 Operation 3 duration 19 mins.
Job 5 Operation 4 duration 31 mins.
Job 1 Operation 5 duration 53 mins.
Job 4 Operation 5 duration 38 mins.
Job 14 Operation 6 duration 106 mins.
Job 19 Operation 6 duration 96 mins.
Job 13 Operation 7 duration 4 mins.
Job 18 Operation 7 duration 64 mins.
Job 0 Operation 9 duration 42 mins.
Job 9 Operation 9 duration 49 mins.
Job 7 Operation 11 duration 31 mins.
Job 15 Operation 11 duration 119 mins.
Job 8 Operation 12 duration 15 mins.
Job 12 Operation 12 duration 64 mins.
Job 17 Operation 12 duration 101 mins.
Job 10 Operation 13 duration 80 mins.
Job 6 Operation 14 duration 9 mins.
Job 11 Operation 14 duration 41 mins.
Machine 8 is used for the following Operations:
Job 7 Operation 1 duration 113 mins.
Job 9 Operation 3 duration 28 mins.
Job 0 Operation 5 duration 39 mins.
Job 8 Operation 5 duration 32 mins.
Job 18 Operation 6 duration 13 mins.
Job 2 Operation 7 duration 81 mins.
Job 3 Operation 7 duration 25 mins.
Job 15 Operation 7 duration 34 mins.
Job 1 Operation 9 duration 84 mins.
Job 6 Operation 11 duration 79 mins.
Job 11 Operation 11 duration 81 mins.
Job 16 Operation 11 duration 30 mins.
Job 17 Operation 11 duration 56 mins.
Job 19 Operation 11 duration 28 mins.
Job 4 Operation 12 duration 1 mins.
Job 13 Operation 12 duration 44 mins.
Job 14 Operation 12 duration 12 mins.
Job 5 Operation 13 duration 3 mins.
Job 10 Operation 14 duration 114 mins.
Job 12 Operation 14 duration 2 mins.
Machine 9 is used for the following Operations:
Job 3 Operation 0 duration 112 mins.
Job 14 Operation 0 duration 118 mins.
Job 5 Operation 2 duration 84 mins.
Job 17 Operation 2 duration 105 mins.
Job 8 Operation 4 duration 16 mins.
Job 16 Operation 4 duration 50 mins.
Job 0 Operation 8 duration 103 mins.
Job 10 Operation 8 duration 20 mins.
Job 18 Operation 8 duration 103 mins.
Job 4 Operation 9 duration 17 mins.
Job 6 Operation 9 duration 55 mins.
Job 2 Operation 10 duration 95 mins.
Job 7 Operation 10 duration 101 mins.
Job 11 Operation 10 duration 2 mins.
Job 1 Operation 11 duration 83 mins.
Job 12 Operation 11 duration 108 mins.
Job 13 Operation 11 duration 22 mins.
Job 9 Operation 12 duration 111 mins.
Job 15 Operation 14 duration 3 mins.
Job 19 Operation 14 duration 14 mins.
Machine 10 is used for the following Operations:
Job 9 Operation 0 duration 96 mins.
Job 18 Operation 0 duration 8 mins.
Job 12 Operation 2 duration 20 mins.
Job 10 Operation 4 duration 47 mins.
Job 17 Operation 4 duration 38 mins.
Job 11 Operation 5 duration 81 mins.
Job 13 Operation 5 duration 27 mins.
Job 14 Operation 5 duration 21 mins.
Job 19 Operation 5 duration 23 mins.
Job 0 Operation 6 duration 2 mins.
Job 1 Operation 6 duration 51 mins.
Job 3 Operation 6 duration 5 mins.
Job 15 Operation 6 duration 9 mins.
Job 4 Operation 7 duration 68 mins.
Job 5 Operation 7 duration 120 mins.
Job 8 Operation 7 duration 87 mins.
Job 16 Operation 7 duration 84 mins.
Job 2 Operation 13 duration 22 mins.
Job 6 Operation 13 duration 114 mins.
Job 7 Operation 14 duration 103 mins.
Machine 11 is used for the following Operations:
Job 11 Operation 0 duration 79 mins.
Job 16 Operation 1 duration 96 mins.
Job 3 Operation 2 duration 110 mins.
Job 9 Operation 2 duration 43 mins.
Job 2 Operation 3 duration 72 mins.
Job 18 Operation 3 duration 32 mins.
Job 12 Operation 4 duration 29 mins.
Job 13 Operation 4 duration 107 mins.
Job 5 Operation 5 duration 17 mins.
Job 4 Operation 6 duration 101 mins.
Job 0 Operation 7 duration 37 mins.
Job 1 Operation 7 duration 93 mins.
Job 17 Operation 8 duration 95 mins.
Job 19 Operation 8 duration 72 mins.
Job 8 Operation 9 duration 57 mins.
Job 6 Operation 10 duration 16 mins.
Job 10 Operation 11 duration 14 mins.
Job 14 Operation 11 duration 50 mins.
Job 15 Operation 12 duration 96 mins.
Job 7 Operation 13 duration 115 mins.
Machine 12 is used for the following Operations:
Job 12 Operation 0 duration 90 mins.
Job 3 Operation 1 duration 97 mins.
Job 10 Operation 1 duration 61 mins.
Job 14 Operation 1 duration 25 mins.
Job 19 Operation 1 duration 27 mins.
Job 0 Operation 4 duration 36 mins.
Job 1 Operation 4 duration 100 mins.
Job 7 Operation 4 duration 8 mins.
Job 6 Operation 5 duration 56 mins.
Job 9 Operation 6 duration 44 mins.
Job 11 Operation 6 duration 109 mins.
Job 15 Operation 8 duration 49 mins.
Job 18 Operation 9 duration 55 mins.
Job 4 Operation 10 duration 41 mins.
Job 13 Operation 10 duration 46 mins.
Job 2 Operation 12 duration 74 mins.
Job 5 Operation 12 duration 11 mins.
Job 16 Operation 13 duration 86 mins.
Job 17 Operation 13 duration 72 mins.
Job 8 Operation 14 duration 107 mins.
Machine 13 is used for the following Operations:
Job 16 Operation 0 duration 93 mins.
Job 17 Operation 0 duration 15 mins.
Job 18 Operation 1 duration 39 mins.
Job 6 Operation 3 duration 32 mins.
Job 8 Operation 3 duration 56 mins.
Job 13 Operation 3 duration 82 mins.
Job 11 Operation 4 duration 5 mins.
Job 19 Operation 4 duration 62 mins.
Job 7 Operation 7 duration 60 mins.
Job 2 Operation 8 duration 118 mins.
Job 10 Operation 9 duration 6 mins.
Job 0 Operation 10 duration 91 mins.
Job 3 Operation 10 duration 42 mins.
Job 12 Operation 10 duration 62 mins.
Job 14 Operation 10 duration 57 mins.
Job 15 Operation 10 duration 17 mins.
Job 5 Operation 11 duration 26 mins.
Job 9 Operation 11 duration 89 mins.
Job 1 Operation 12 duration 23 mins.
Job 4 Operation 14 duration 106 mins.
Machine 14 is used for the following Operations:
Job 13 Operation 0 duration 16 mins.
Job 12 Operation 1 duration 82 mins.
Job 4 Operation 2 duration 12 mins.
Job 18 Operation 2 duration 103 mins.
Job 0 Operation 3 duration 53 mins.
Job 5 Operation 3 duration 31 mins.
Job 14 Operation 3 duration 66 mins.
Job 15 Operation 4 duration 107 mins.
Job 7 Operation 5 duration 109 mins.
Job 10 Operation 5 duration 3 mins.
Job 17 Operation 6 duration 55 mins.
Job 19 Operation 7 duration 92 mins.
Job 2 Operation 9 duration 94 mins.
Job 3 Operation 9 duration 48 mins.
Job 6 Operation 12 duration 49 mins.
Job 11 Operation 12 duration 45 mins.
Job 8 Operation 13 duration 78 mins.
Job 1 Operation 14 duration 17 mins.
Job 9 Operation 14 duration 64 mins.
Job 16 Operation 14 duration 19 mins.
| Solution:
Job 15 Operation 0 on Machine 2 : 0 + 46 -> 46
Job 5 Operation 0 on Machine 3 : 0 + 112 -> 112
Job 6 Operation 0 on Machine 4 : 0 + 71 -> 71
Job 7 Operation 0 on Machine 5 : 0 + 29 -> 29
Job 14 Operation 0 on Machine 9 : 0 + 118 -> 118
Job 18 Operation 0 on Machine 10 : 0 + 8 -> 8
Job 11 Operation 0 on Machine 11 : 0 + 79 -> 79
Job 12 Operation 0 on Machine 12 : 0 + 90 -> 90
Job 16 Operation 0 on Machine 13 : 0 + 93 -> 93
Job 13 Operation 0 on Machine 14 : 0 + 16 -> 16
Job 9 Operation 0 on Machine 10 : 8 + 96 -> 104
Job 7 Operation 1 on Machine 8 : 29 + 113 -> 142
Job 15 Operation 1 on Machine 5 : 46 + 24 -> 70
Job 19 Operation 0 on Machine 4 : 71 + 102 -> 173
Job 6 Operation 1 on Machine 6 : 71 + 4 -> 75
Job 6 Operation 2 on Machine 5 : 75 + 91 -> 166
Job 11 Operation 1 on Machine 6 : 79 + 51 -> 130
Job 12 Operation 1 on Machine 14 : 90 + 82 -> 172
Job 16 Operation 1 on Machine 11 : 93 + 96 -> 189
Job 18 Operation 1 on Machine 13 : 93 + 39 -> 132
Job 5 Operation 1 on Machine 0 : 112 + 62 -> 174
Job 14 Operation 1 on Machine 12 : 118 + 25 -> 143
Job 11 Operation 2 on Machine 1 : 130 + 56 -> 186
Job 9 Operation 1 on Machine 6 : 130 + 105 -> 235
Job 17 Operation 0 on Machine 13 : 132 + 15 -> 147
Job 14 Operation 2 on Machine 3 : 143 + 40 -> 183
Job 8 Operation 0 on Machine 5 : 166 + 66 -> 232
Job 6 Operation 3 on Machine 13 : 166 + 32 -> 198
Job 12 Operation 2 on Machine 10 : 172 + 20 -> 192
Job 15 Operation 2 on Machine 4 : 173 + 54 -> 227
Job 19 Operation 1 on Machine 12 : 173 + 27 -> 200
Job 5 Operation 2 on Machine 9 : 174 + 84 -> 258
Job 14 Operation 3 on Machine 14 : 183 + 66 -> 249
Job 17 Operation 1 on Machine 1 : 186 + 81 -> 267
Job 11 Operation 3 on Machine 3 : 186 + 45 -> 231
Job 16 Operation 2 on Machine 7 : 189 + 83 -> 272
Job 12 Operation 3 on Machine 2 : 192 + 27 -> 219
Job 19 Operation 2 on Machine 0 : 200 + 73 -> 273
Job 7 Operation 2 on Machine 2 : 219 + 78 -> 297
Job 12 Operation 4 on Machine 11 : 219 + 29 -> 248
Job 2 Operation 0 on Machine 4 : 227 + 45 -> 272
Job 6 Operation 4 on Machine 3 : 231 + 54 -> 285
Job 11 Operation 4 on Machine 13 : 231 + 5 -> 236
Job 11 Operation 5 on Machine 10 : 236 + 81 -> 317
Job 12 Operation 5 on Machine 5 : 248 + 84 -> 332
Job 9 Operation 2 on Machine 11 : 248 + 43 -> 291
Job 18 Operation 2 on Machine 14 : 249 + 103 -> 352
Job 17 Operation 2 on Machine 9 : 267 + 105 -> 372
Job 16 Operation 3 on Machine 6 : 272 + 103 -> 375
Job 2 Operation 1 on Machine 7 : 272 + 99 -> 371
Job 15 Operation 3 on Machine 0 : 273 + 28 -> 301
Job 19 Operation 3 on Machine 3 : 285 + 22 -> 307
Job 6 Operation 5 on Machine 12 : 285 + 56 -> 341
Job 9 Operation 3 on Machine 8 : 291 + 28 -> 319
Job 14 Operation 4 on Machine 0 : 301 + 32 -> 333
Job 1 Operation 0 on Machine 3 : 307 + 51 -> 358
Job 19 Operation 4 on Machine 13 : 307 + 62 -> 369
Job 9 Operation 4 on Machine 2 : 319 + 40 -> 359
Job 12 Operation 6 on Machine 4 : 332 + 110 -> 442
Job 14 Operation 5 on Machine 10 : 333 + 21 -> 354
Job 6 Operation 6 on Machine 1 : 341 + 38 -> 379
Job 11 Operation 6 on Machine 12 : 341 + 109 -> 450
Job 18 Operation 3 on Machine 11 : 352 + 32 -> 384
Job 5 Operation 3 on Machine 14 : 352 + 31 -> 383
Job 1 Operation 1 on Machine 0 : 358 + 13 -> 371
Job 8 Operation 1 on Machine 3 : 358 + 79 -> 437
Job 19 Operation 5 on Machine 10 : 369 + 23 -> 392
Job 2 Operation 2 on Machine 6 : 375 + 76 -> 451
Job 16 Operation 4 on Machine 9 : 375 + 50 -> 425
Job 1 Operation 2 on Machine 1 : 379 + 26 -> 405
Job 6 Operation 7 on Machine 2 : 379 + 94 -> 473
Job 15 Operation 4 on Machine 14 : 383 + 107 -> 490
Job 18 Operation 4 on Machine 5 : 384 + 12 -> 396
Job 19 Operation 6 on Machine 7 : 392 + 96 -> 488
Job 0 Operation 0 on Machine 5 : 396 + 59 -> 455
Job 16 Operation 5 on Machine 1 : 425 + 2 -> 427
Job 3 Operation 0 on Machine 9 : 425 + 112 -> 537
Job 12 Operation 7 on Machine 3 : 442 + 12 -> 454
Job 10 Operation 0 on Machine 4 : 442 + 112 -> 554
Job 17 Operation 3 on Machine 6 : 451 + 31 -> 482
Job 2 Operation 3 on Machine 11 : 451 + 72 -> 523
Job 12 Operation 8 on Machine 1 : 454 + 120 -> 574
Job 7 Operation 3 on Machine 3 : 454 + 76 -> 530
Job 13 Operation 1 on Machine 5 : 455 + 105 -> 560
Job 6 Operation 8 on Machine 0 : 473 + 111 -> 584
Job 16 Operation 6 on Machine 2 : 473 + 48 -> 521
Job 17 Operation 4 on Machine 10 : 482 + 38 -> 520
Job 5 Operation 4 on Machine 7 : 488 + 31 -> 519
Job 15 Operation 5 on Machine 6 : 490 + 40 -> 530
Job 19 Operation 7 on Machine 14 : 490 + 92 -> 582
Job 14 Operation 6 on Machine 7 : 519 + 106 -> 625
Job 8 Operation 2 on Machine 2 : 521 + 71 -> 592
Job 16 Operation 7 on Machine 10 : 521 + 84 -> 605
Job 5 Operation 5 on Machine 11 : 523 + 17 -> 540
Job 2 Operation 4 on Machine 3 : 530 + 22 -> 552
Job 3 Operation 1 on Machine 12 : 537 + 97 -> 634
Job 17 Operation 5 on Machine 3 : 552 + 48 -> 600
Job 0 Operation 1 on Machine 4 : 554 + 110 -> 664
Job 2 Operation 5 on Machine 5 : 560 + 83 -> 643
Job 19 Operation 8 on Machine 11 : 582 + 72 -> 654
Job 12 Operation 9 on Machine 0 : 584 + 73 -> 657
Job 6 Operation 9 on Machine 9 : 584 + 55 -> 639
Job 18 Operation 5 on Machine 2 : 592 + 56 -> 648
Job 8 Operation 3 on Machine 13 : 592 + 56 -> 648
Job 17 Operation 6 on Machine 14 : 600 + 55 -> 655
Job 16 Operation 8 on Machine 3 : 605 + 103 -> 708
Job 15 Operation 6 on Machine 10 : 605 + 9 -> 614
Job 15 Operation 7 on Machine 8 : 614 + 34 -> 648
Job 14 Operation 7 on Machine 6 : 625 + 47 -> 672
Job 10 Operation 1 on Machine 12 : 634 + 61 -> 695
Job 18 Operation 6 on Machine 8 : 648 + 13 -> 661
Job 8 Operation 4 on Machine 9 : 648 + 16 -> 664
Job 19 Operation 9 on Machine 5 : 654 + 37 -> 691
Job 3 Operation 2 on Machine 11 : 654 + 110 -> 764
Job 17 Operation 7 on Machine 2 : 655 + 64 -> 719
Job 2 Operation 6 on Machine 0 : 657 + 73 -> 730
Job 12 Operation 10 on Machine 13 : 657 + 62 -> 719
Job 18 Operation 7 on Machine 7 : 661 + 64 -> 725
Job 5 Operation 6 on Machine 4 : 664 + 49 -> 713
Job 8 Operation 5 on Machine 8 : 664 + 32 -> 696
Job 19 Operation 10 on Machine 1 : 691 + 73 -> 764
Job 7 Operation 4 on Machine 12 : 695 + 8 -> 703
Job 8 Operation 6 on Machine 6 : 696 + 3 -> 699
Job 13 Operation 2 on Machine 6 : 699 + 75 -> 774
Job 8 Operation 7 on Machine 10 : 699 + 87 -> 786
Job 15 Operation 8 on Machine 12 : 703 + 49 -> 752
Job 7 Operation 5 on Machine 14 : 703 + 109 -> 812
Job 0 Operation 2 on Machine 3 : 708 + 111 -> 819
Job 16 Operation 9 on Machine 5 : 708 + 56 -> 764
Job 1 Operation 3 on Machine 2 : 719 + 118 -> 837
Job 18 Operation 8 on Machine 9 : 725 + 103 -> 828
Job 10 Operation 2 on Machine 0 : 730 + 60 -> 790
Job 16 Operation 10 on Machine 4 : 764 + 24 -> 788
Job 14 Operation 8 on Machine 5 : 764 + 107 -> 871
Job 3 Operation 3 on Machine 7 : 764 + 19 -> 783
Job 17 Operation 8 on Machine 11 : 764 + 95 -> 859
Job 13 Operation 3 on Machine 13 : 774 + 82 -> 856
Job 5 Operation 7 on Machine 10 : 786 + 120 -> 906
Job 3 Operation 4 on Machine 4 : 788 + 46 -> 834
Job 16 Operation 11 on Machine 8 : 788 + 30 -> 818
Job 10 Operation 3 on Machine 1 : 790 + 37 -> 827
Job 16 Operation 12 on Machine 0 : 818 + 66 -> 884
Job 19 Operation 11 on Machine 8 : 818 + 28 -> 846
Job 4 Operation 0 on Machine 3 : 819 + 77 -> 896
Job 0 Operation 3 on Machine 14 : 819 + 53 -> 872
Job 12 Operation 11 on Machine 9 : 828 + 108 -> 936
Job 3 Operation 5 on Machine 1 : 834 + 45 -> 879
Job 19 Operation 12 on Machine 6 : 846 + 102 -> 948
Job 13 Operation 4 on Machine 11 : 859 + 107 -> 966
Job 17 Operation 9 on Machine 5 : 871 + 94 -> 965
Job 0 Operation 4 on Machine 12 : 872 + 36 -> 908
Job 8 Operation 8 on Machine 1 : 879 + 67 -> 946
Job 7 Operation 6 on Machine 0 : 884 + 89 -> 973
Job 4 Operation 1 on Machine 2 : 896 + 57 -> 953
Job 15 Operation 9 on Machine 3 : 896 + 90 -> 986
Job 3 Operation 6 on Machine 10 : 906 + 5 -> 911
Job 0 Operation 5 on Machine 8 : 908 + 39 -> 947
Job 1 Operation 4 on Machine 12 : 908 + 100 -> 1008
Job 10 Operation 4 on Machine 10 : 911 + 47 -> 958
Job 12 Operation 12 on Machine 7 : 936 + 64 -> 1000
Job 3 Operation 7 on Machine 8 : 947 + 25 -> 972
Job 5 Operation 8 on Machine 6 : 948 + 61 -> 1009
Job 19 Operation 13 on Machine 2 : 953 + 3 -> 956
Job 4 Operation 2 on Machine 14 : 953 + 12 -> 965
Job 19 Operation 14 on Machine 9 : 956 + 14 -> 970
Job 0 Operation 6 on Machine 10 : 958 + 2 -> 960
Job 4 Operation 3 on Machine 4 : 965 + 3 -> 968
Job 10 Operation 5 on Machine 14 : 965 + 3 -> 968
Job 13 Operation 5 on Machine 10 : 966 + 27 -> 993
Job 0 Operation 7 on Machine 11 : 966 + 37 -> 1003
Job 10 Operation 6 on Machine 5 : 968 + 116 -> 1084
Job 3 Operation 8 on Machine 2 : 972 + 74 -> 1046
Job 2 Operation 7 on Machine 8 : 972 + 81 -> 1053
Job 4 Operation 4 on Machine 0 : 973 + 34 -> 1007
Job 7 Operation 7 on Machine 13 : 973 + 60 -> 1033
Job 9 Operation 5 on Machine 3 : 986 + 114 -> 1100
Job 0 Operation 8 on Machine 9 : 1003 + 103 -> 1106
Job 6 Operation 10 on Machine 11 : 1003 + 16 -> 1019
Job 13 Operation 6 on Machine 0 : 1007 + 99 -> 1106
Job 4 Operation 5 on Machine 7 : 1007 + 38 -> 1045
Job 18 Operation 9 on Machine 12 : 1008 + 55 -> 1063
Job 12 Operation 13 on Machine 6 : 1009 + 96 -> 1105
Job 7 Operation 8 on Machine 1 : 1033 + 112 -> 1145
Job 15 Operation 10 on Machine 13 : 1033 + 17 -> 1050
Job 1 Operation 5 on Machine 7 : 1045 + 53 -> 1098
Job 4 Operation 6 on Machine 11 : 1045 + 101 -> 1146
Job 3 Operation 9 on Machine 14 : 1046 + 48 -> 1094
Job 6 Operation 11 on Machine 8 : 1053 + 79 -> 1132
Job 18 Operation 10 on Machine 4 : 1063 + 80 -> 1143
Job 10 Operation 7 on Machine 2 : 1084 + 4 -> 1088
Job 5 Operation 9 on Machine 5 : 1084 + 89 -> 1173
Job 1 Operation 6 on Machine 10 : 1098 + 51 -> 1149
Job 9 Operation 6 on Machine 12 : 1100 + 44 -> 1144
Job 17 Operation 10 on Machine 0 : 1106 + 66 -> 1172
Job 13 Operation 7 on Machine 7 : 1106 + 4 -> 1110
Job 10 Operation 8 on Machine 9 : 1106 + 20 -> 1126
Job 0 Operation 9 on Machine 7 : 1110 + 42 -> 1152
Job 10 Operation 9 on Machine 13 : 1126 + 6 -> 1132
Job 10 Operation 10 on Machine 3 : 1132 + 4 -> 1136
Job 12 Operation 14 on Machine 8 : 1132 + 2 -> 1134
Job 2 Operation 8 on Machine 13 : 1132 + 118 -> 1250
Job 6 Operation 12 on Machine 14 : 1132 + 49 -> 1181
Job 16 Operation 13 on Machine 12 : 1144 + 86 -> 1230
Job 13 Operation 8 on Machine 1 : 1145 + 101 -> 1246
Job 7 Operation 9 on Machine 4 : 1145 + 108 -> 1253
Job 10 Operation 11 on Machine 11 : 1146 + 14 -> 1160
Job 4 Operation 7 on Machine 10 : 1149 + 68 -> 1217
Job 15 Operation 11 on Machine 7 : 1152 + 119 -> 1271
Job 10 Operation 12 on Machine 6 : 1160 + 105 -> 1265
Job 8 Operation 9 on Machine 11 : 1160 + 57 -> 1217
Job 9 Operation 7 on Machine 0 : 1172 + 32 -> 1204
Job 17 Operation 11 on Machine 8 : 1172 + 56 -> 1228
Job 5 Operation 10 on Machine 2 : 1173 + 19 -> 1192
Job 11 Operation 7 on Machine 5 : 1173 + 86 -> 1259
Job 8 Operation 10 on Machine 0 : 1217 + 73 -> 1290
Job 6 Operation 13 on Machine 10 : 1217 + 114 -> 1331
Job 16 Operation 14 on Machine 14 : 1230 + 19 -> 1249
Job 9 Operation 8 on Machine 1 : 1246 + 48 -> 1294
Job 13 Operation 9 on Machine 2 : 1246 + 62 -> 1308
Job 5 Operation 11 on Machine 13 : 1250 + 26 -> 1276
Job 2 Operation 9 on Machine 14 : 1250 + 94 -> 1344
Job 7 Operation 10 on Machine 9 : 1253 + 101 -> 1354
Job 4 Operation 8 on Machine 5 : 1259 + 84 -> 1343
Job 15 Operation 12 on Machine 11 : 1271 + 96 -> 1367
Job 5 Operation 12 on Machine 12 : 1276 + 11 -> 1287
Job 0 Operation 10 on Machine 13 : 1276 + 91 -> 1367
Job 5 Operation 13 on Machine 8 : 1287 + 3 -> 1290
Job 18 Operation 11 on Machine 0 : 1290 + 38 -> 1328
Job 8 Operation 11 on Machine 4 : 1290 + 89 -> 1379
Job 5 Operation 14 on Machine 1 : 1294 + 107 -> 1401
Job 9 Operation 9 on Machine 7 : 1294 + 49 -> 1343
Job 11 Operation 8 on Machine 2 : 1308 + 108 -> 1416
Job 13 Operation 10 on Machine 12 : 1308 + 46 -> 1354
Job 18 Operation 12 on Machine 3 : 1328 + 97 -> 1425
Job 9 Operation 10 on Machine 5 : 1343 + 71 -> 1414
Job 6 Operation 14 on Machine 7 : 1343 + 9 -> 1352
Job 7 Operation 11 on Machine 7 : 1354 + 31 -> 1385
Job 13 Operation 11 on Machine 9 : 1354 + 22 -> 1376
Job 0 Operation 11 on Machine 0 : 1367 + 38 -> 1405
Job 1 Operation 7 on Machine 11 : 1367 + 93 -> 1460
Job 3 Operation 10 on Machine 13 : 1367 + 42 -> 1409
Job 13 Operation 12 on Machine 8 : 1376 + 44 -> 1420
Job 4 Operation 9 on Machine 9 : 1376 + 17 -> 1393
Job 7 Operation 12 on Machine 6 : 1385 + 55 -> 1440
Job 8 Operation 12 on Machine 7 : 1385 + 15 -> 1400
Job 2 Operation 10 on Machine 9 : 1393 + 95 -> 1488
Job 4 Operation 10 on Machine 12 : 1393 + 41 -> 1434
Job 17 Operation 12 on Machine 7 : 1400 + 101 -> 1501
Job 8 Operation 13 on Machine 14 : 1400 + 78 -> 1478
Job 15 Operation 13 on Machine 1 : 1401 + 50 -> 1451
Job 9 Operation 11 on Machine 13 : 1414 + 89 -> 1503
Job 11 Operation 9 on Machine 0 : 1416 + 77 -> 1493
Job 0 Operation 12 on Machine 2 : 1416 + 70 -> 1486
Job 13 Operation 13 on Machine 4 : 1420 + 72 -> 1492
Job 4 Operation 11 on Machine 6 : 1440 + 73 -> 1513
Job 14 Operation 9 on Machine 1 : 1451 + 101 -> 1552
Job 1 Operation 8 on Machine 5 : 1460 + 2 -> 1462
Job 7 Operation 13 on Machine 11 : 1460 + 115 -> 1575
Job 3 Operation 11 on Machine 5 : 1462 + 119 -> 1581
Job 1 Operation 9 on Machine 8 : 1462 + 84 -> 1546
Job 8 Operation 14 on Machine 12 : 1478 + 107 -> 1585
Job 2 Operation 11 on Machine 2 : 1488 + 18 -> 1506
Job 15 Operation 14 on Machine 9 : 1488 + 3 -> 1491
Job 13 Operation 14 on Machine 3 : 1492 + 74 -> 1566
Job 11 Operation 10 on Machine 9 : 1493 + 2 -> 1495
Job 10 Operation 13 on Machine 7 : 1501 + 80 -> 1581
Job 9 Operation 12 on Machine 9 : 1503 + 111 -> 1614
Job 0 Operation 13 on Machine 6 : 1513 + 110 -> 1623
Job 1 Operation 10 on Machine 4 : 1546 + 82 -> 1628
Job 4 Operation 12 on Machine 8 : 1546 + 1 -> 1547
Job 11 Operation 11 on Machine 8 : 1547 + 81 -> 1628
Job 4 Operation 13 on Machine 1 : 1552 + 9 -> 1561
Job 14 Operation 10 on Machine 13 : 1552 + 57 -> 1609
Job 18 Operation 13 on Machine 1 : 1561 + 51 -> 1612
Job 7 Operation 14 on Machine 10 : 1575 + 103 -> 1678
Job 2 Operation 12 on Machine 12 : 1585 + 74 -> 1659
Job 14 Operation 11 on Machine 11 : 1609 + 50 -> 1659
Job 4 Operation 14 on Machine 13 : 1609 + 106 -> 1715
Job 0 Operation 14 on Machine 1 : 1623 + 115 -> 1738
Job 3 Operation 12 on Machine 6 : 1623 + 4 -> 1627
Job 3 Operation 13 on Machine 0 : 1627 + 58 -> 1685
Job 18 Operation 14 on Machine 6 : 1627 + 116 -> 1743
Job 9 Operation 13 on Machine 4 : 1628 + 67 -> 1695
Job 10 Operation 14 on Machine 8 : 1628 + 114 -> 1742
Job 1 Operation 11 on Machine 9 : 1628 + 83 -> 1711
Job 11 Operation 12 on Machine 14 : 1628 + 45 -> 1673
Job 17 Operation 13 on Machine 12 : 1659 + 72 -> 1731
Job 2 Operation 13 on Machine 10 : 1678 + 22 -> 1700
Job 3 Operation 14 on Machine 3 : 1685 + 52 -> 1737
Job 11 Operation 13 on Machine 4 : 1695 + 19 -> 1714
Job 9 Operation 14 on Machine 14 : 1695 + 64 -> 1759
Job 11 Operation 14 on Machine 7 : 1714 + 41 -> 1755
Job 1 Operation 12 on Machine 13 : 1715 + 23 -> 1738
Job 17 Operation 14 on Machine 4 : 1731 + 17 -> 1748
Job 2 Operation 14 on Machine 1 : 1738 + 19 -> 1757
Job 14 Operation 12 on Machine 8 : 1742 + 12 -> 1754
Job 1 Operation 13 on Machine 6 : 1743 + 10 -> 1753
Job 14 Operation 13 on Machine 2 : 1754 + 23 -> 1777
Job 1 Operation 14 on Machine 14 : 1759 + 17 -> 1776
Job 14 Operation 14 on Machine 4 : 1777 + 6 -> 1783
Makespan: 1783.0, as it is the maximum end completion time of Operation 14 |
5 | 4 | Optimize schedule for 5 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 32 mins.
Operation 1 on Machine 3 duration 93 mins.
Operation 2 on Machine 0 duration 70 mins.
Operation 3 on Machine 2 duration 35 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 20 mins.
Operation 1 on Machine 2 duration 147 mins.
Operation 2 on Machine 1 duration 29 mins.
Operation 3 on Machine 0 duration 42 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 90 mins.
Operation 1 on Machine 1 duration 58 mins.
Operation 2 on Machine 2 duration 61 mins.
Operation 3 on Machine 3 duration 62 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 38 mins.
Operation 1 on Machine 3 duration 166 mins.
Operation 2 on Machine 0 duration 116 mins.
Operation 3 on Machine 2 duration 93 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 121 mins.
Operation 1 on Machine 2 duration 57 mins.
Operation 2 on Machine 0 duration 100 mins.
Operation 3 on Machine 1 duration 57 mins.
| Optimize schedule for 5 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 90 mins.
Job 0 Operation 2 duration 70 mins.
Job 3 Operation 2 duration 116 mins.
Job 4 Operation 2 duration 100 mins.
Job 1 Operation 3 duration 42 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 32 mins.
Job 3 Operation 0 duration 38 mins.
Job 2 Operation 1 duration 58 mins.
Job 1 Operation 2 duration 29 mins.
Job 4 Operation 3 duration 57 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 147 mins.
Job 4 Operation 1 duration 57 mins.
Job 2 Operation 2 duration 61 mins.
Job 0 Operation 3 duration 35 mins.
Job 3 Operation 3 duration 93 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 20 mins.
Job 4 Operation 0 duration 121 mins.
Job 0 Operation 1 duration 93 mins.
Job 3 Operation 1 duration 166 mins.
Job 2 Operation 3 duration 62 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 90 -> 90
Job 0 Operation 0 on Machine 1 : 0 + 32 -> 32
Job 1 Operation 0 on Machine 3 : 0 + 20 -> 20
Job 4 Operation 0 on Machine 3 : 20 + 121 -> 141
Job 3 Operation 0 on Machine 1 : 32 + 38 -> 70
Job 2 Operation 1 on Machine 1 : 90 + 58 -> 148
Job 4 Operation 1 on Machine 2 : 141 + 57 -> 198
Job 3 Operation 1 on Machine 3 : 141 + 166 -> 307
Job 4 Operation 2 on Machine 0 : 198 + 100 -> 298
Job 2 Operation 2 on Machine 2 : 198 + 61 -> 259
Job 1 Operation 1 on Machine 2 : 259 + 147 -> 406
Job 4 Operation 3 on Machine 1 : 298 + 57 -> 355
Job 3 Operation 2 on Machine 0 : 307 + 116 -> 423
Job 0 Operation 1 on Machine 3 : 307 + 93 -> 400
Job 2 Operation 3 on Machine 3 : 400 + 62 -> 462
Job 1 Operation 2 on Machine 1 : 406 + 29 -> 435
Job 0 Operation 2 on Machine 0 : 423 + 70 -> 493
Job 3 Operation 3 on Machine 2 : 423 + 93 -> 516
Job 1 Operation 3 on Machine 0 : 493 + 42 -> 535
Job 0 Operation 3 on Machine 2 : 516 + 35 -> 551
Makespan: 551.0, as it is the maximum end completion time of Operation 3 |
10 | 2 | Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 82 mins.
Operation 1 on Machine 1 duration 30 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 59 mins.
Operation 1 on Machine 1 duration 68 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 4 mins.
Operation 1 on Machine 0 duration 73 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 62 mins.
Operation 1 on Machine 1 duration 78 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 64 mins.
Operation 1 on Machine 1 duration 64 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 17 mins.
Operation 1 on Machine 1 duration 28 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 29 mins.
Operation 1 on Machine 1 duration 1 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 45 mins.
Operation 1 on Machine 1 duration 58 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 17 mins.
Operation 1 on Machine 0 duration 45 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 38 mins.
Operation 1 on Machine 0 duration 67 mins.
| Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 82 mins.
Job 1 Operation 0 duration 59 mins.
Job 3 Operation 0 duration 62 mins.
Job 4 Operation 0 duration 64 mins.
Job 5 Operation 0 duration 17 mins.
Job 6 Operation 0 duration 29 mins.
Job 7 Operation 0 duration 45 mins.
Job 2 Operation 1 duration 73 mins.
Job 8 Operation 1 duration 45 mins.
Job 9 Operation 1 duration 67 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 4 mins.
Job 8 Operation 0 duration 17 mins.
Job 9 Operation 0 duration 38 mins.
Job 0 Operation 1 duration 30 mins.
Job 1 Operation 1 duration 68 mins.
Job 3 Operation 1 duration 78 mins.
Job 4 Operation 1 duration 64 mins.
Job 5 Operation 1 duration 28 mins.
Job 6 Operation 1 duration 1 mins.
Job 7 Operation 1 duration 58 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 82 -> 82
Job 2 Operation 0 on Machine 1 : 0 + 4 -> 4
Job 8 Operation 0 on Machine 1 : 4 + 17 -> 21
Job 9 Operation 0 on Machine 1 : 21 + 38 -> 59
Job 3 Operation 0 on Machine 0 : 82 + 62 -> 144
Job 0 Operation 1 on Machine 1 : 82 + 30 -> 112
Job 1 Operation 0 on Machine 0 : 144 + 59 -> 203
Job 3 Operation 1 on Machine 1 : 144 + 78 -> 222
Job 6 Operation 0 on Machine 0 : 203 + 29 -> 232
Job 1 Operation 1 on Machine 1 : 222 + 68 -> 290
Job 7 Operation 0 on Machine 0 : 232 + 45 -> 277
Job 2 Operation 1 on Machine 0 : 277 + 73 -> 350
Job 7 Operation 1 on Machine 1 : 290 + 58 -> 348
Job 6 Operation 1 on Machine 1 : 348 + 1 -> 349
Job 5 Operation 0 on Machine 0 : 350 + 17 -> 367
Job 8 Operation 1 on Machine 0 : 367 + 45 -> 412
Job 5 Operation 1 on Machine 1 : 367 + 28 -> 395
Job 4 Operation 0 on Machine 0 : 412 + 64 -> 476
Job 9 Operation 1 on Machine 0 : 476 + 67 -> 543
Job 4 Operation 1 on Machine 1 : 476 + 64 -> 540
Makespan: 543.0, as it is the maximum end completion time of Operation 1 |
8 | 8 | Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 406 mins.
Operation 1 on Machine 6 duration 420 mins.
Operation 2 on Machine 4 duration 109 mins.
Operation 3 on Machine 7 duration 396 mins.
Operation 4 on Machine 5 duration 150 mins.
Operation 5 on Machine 1 duration 165 mins.
Operation 6 on Machine 3 duration 220 mins.
Operation 7 on Machine 0 duration 59 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 139 mins.
Operation 1 on Machine 1 duration 168 mins.
Operation 2 on Machine 7 duration 112 mins.
Operation 3 on Machine 4 duration 35 mins.
Operation 4 on Machine 3 duration 372 mins.
Operation 5 on Machine 0 duration 88 mins.
Operation 6 on Machine 6 duration 281 mins.
Operation 7 on Machine 5 duration 245 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 36 mins.
Operation 1 on Machine 4 duration 396 mins.
Operation 2 on Machine 2 duration 411 mins.
Operation 3 on Machine 0 duration 328 mins.
Operation 4 on Machine 1 duration 331 mins.
Operation 5 on Machine 5 duration 325 mins.
Operation 6 on Machine 7 duration 138 mins.
Operation 7 on Machine 6 duration 249 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 296 mins.
Operation 1 on Machine 7 duration 20 mins.
Operation 2 on Machine 0 duration 237 mins.
Operation 3 on Machine 4 duration 218 mins.
Operation 4 on Machine 2 duration 380 mins.
Operation 5 on Machine 3 duration 156 mins.
Operation 6 on Machine 6 duration 71 mins.
Operation 7 on Machine 5 duration 121 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 49 mins.
Operation 1 on Machine 7 duration 415 mins.
Operation 2 on Machine 0 duration 26 mins.
Operation 3 on Machine 5 duration 188 mins.
Operation 4 on Machine 1 duration 71 mins.
Operation 5 on Machine 3 duration 408 mins.
Operation 6 on Machine 4 duration 133 mins.
Operation 7 on Machine 6 duration 239 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 266 mins.
Operation 1 on Machine 7 duration 52 mins.
Operation 2 on Machine 1 duration 145 mins.
Operation 3 on Machine 6 duration 384 mins.
Operation 4 on Machine 4 duration 231 mins.
Operation 5 on Machine 2 duration 62 mins.
Operation 6 on Machine 0 duration 278 mins.
Operation 7 on Machine 3 duration 104 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 308 mins.
Operation 1 on Machine 4 duration 320 mins.
Operation 2 on Machine 1 duration 342 mins.
Operation 3 on Machine 5 duration 105 mins.
Operation 4 on Machine 0 duration 429 mins.
Operation 5 on Machine 6 duration 209 mins.
Operation 6 on Machine 7 duration 397 mins.
Operation 7 on Machine 2 duration 276 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 288 mins.
Operation 1 on Machine 4 duration 361 mins.
Operation 2 on Machine 7 duration 164 mins.
Operation 3 on Machine 2 duration 224 mins.
Operation 4 on Machine 0 duration 107 mins.
Operation 5 on Machine 6 duration 411 mins.
Operation 6 on Machine 3 duration 304 mins.
Operation 7 on Machine 1 duration 151 mins.
| Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 2 duration 237 mins.
Job 4 Operation 2 duration 26 mins.
Job 2 Operation 3 duration 328 mins.
Job 6 Operation 4 duration 429 mins.
Job 7 Operation 4 duration 107 mins.
Job 1 Operation 5 duration 88 mins.
Job 5 Operation 6 duration 278 mins.
Job 0 Operation 7 duration 59 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 296 mins.
Job 1 Operation 1 duration 168 mins.
Job 5 Operation 2 duration 145 mins.
Job 6 Operation 2 duration 342 mins.
Job 2 Operation 4 duration 331 mins.
Job 4 Operation 4 duration 71 mins.
Job 0 Operation 5 duration 165 mins.
Job 7 Operation 7 duration 151 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 406 mins.
Job 1 Operation 0 duration 139 mins.
Job 4 Operation 0 duration 49 mins.
Job 2 Operation 2 duration 411 mins.
Job 7 Operation 3 duration 224 mins.
Job 3 Operation 4 duration 380 mins.
Job 5 Operation 5 duration 62 mins.
Job 6 Operation 7 duration 276 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 36 mins.
Job 6 Operation 0 duration 308 mins.
Job 1 Operation 4 duration 372 mins.
Job 3 Operation 5 duration 156 mins.
Job 4 Operation 5 duration 408 mins.
Job 0 Operation 6 duration 220 mins.
Job 7 Operation 6 duration 304 mins.
Job 5 Operation 7 duration 104 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 1 duration 396 mins.
Job 6 Operation 1 duration 320 mins.
Job 7 Operation 1 duration 361 mins.
Job 0 Operation 2 duration 109 mins.
Job 1 Operation 3 duration 35 mins.
Job 3 Operation 3 duration 218 mins.
Job 5 Operation 4 duration 231 mins.
Job 4 Operation 6 duration 133 mins.
Machine 5 is used for the following Operations:
Job 5 Operation 0 duration 266 mins.
Job 7 Operation 0 duration 288 mins.
Job 4 Operation 3 duration 188 mins.
Job 6 Operation 3 duration 105 mins.
Job 0 Operation 4 duration 150 mins.
Job 2 Operation 5 duration 325 mins.
Job 1 Operation 7 duration 245 mins.
Job 3 Operation 7 duration 121 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 1 duration 420 mins.
Job 5 Operation 3 duration 384 mins.
Job 6 Operation 5 duration 209 mins.
Job 7 Operation 5 duration 411 mins.
Job 1 Operation 6 duration 281 mins.
Job 3 Operation 6 duration 71 mins.
Job 2 Operation 7 duration 249 mins.
Job 4 Operation 7 duration 239 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 1 duration 20 mins.
Job 4 Operation 1 duration 415 mins.
Job 5 Operation 1 duration 52 mins.
Job 1 Operation 2 duration 112 mins.
Job 7 Operation 2 duration 164 mins.
Job 0 Operation 3 duration 396 mins.
Job 2 Operation 6 duration 138 mins.
Job 6 Operation 6 duration 397 mins.
| Solution:
Job 3 Operation 0 on Machine 1 : 0 + 296 -> 296
Job 4 Operation 0 on Machine 2 : 0 + 49 -> 49
Job 2 Operation 0 on Machine 3 : 0 + 36 -> 36
Job 5 Operation 0 on Machine 5 : 0 + 266 -> 266
Job 6 Operation 0 on Machine 3 : 36 + 308 -> 344
Job 2 Operation 1 on Machine 4 : 36 + 396 -> 432
Job 0 Operation 0 on Machine 2 : 49 + 406 -> 455
Job 4 Operation 1 on Machine 7 : 49 + 415 -> 464
Job 7 Operation 0 on Machine 5 : 266 + 288 -> 554
Job 6 Operation 1 on Machine 4 : 432 + 320 -> 752
Job 2 Operation 2 on Machine 2 : 455 + 411 -> 866
Job 0 Operation 1 on Machine 6 : 455 + 420 -> 875
Job 4 Operation 2 on Machine 0 : 464 + 26 -> 490
Job 5 Operation 1 on Machine 7 : 464 + 52 -> 516
Job 5 Operation 2 on Machine 1 : 516 + 145 -> 661
Job 3 Operation 1 on Machine 7 : 516 + 20 -> 536
Job 3 Operation 2 on Machine 0 : 536 + 237 -> 773
Job 4 Operation 3 on Machine 5 : 554 + 188 -> 742
Job 4 Operation 4 on Machine 1 : 742 + 71 -> 813
Job 7 Operation 1 on Machine 4 : 752 + 361 -> 1113
Job 6 Operation 2 on Machine 1 : 813 + 342 -> 1155
Job 4 Operation 5 on Machine 3 : 813 + 408 -> 1221
Job 2 Operation 3 on Machine 0 : 866 + 328 -> 1194
Job 1 Operation 0 on Machine 2 : 866 + 139 -> 1005
Job 5 Operation 3 on Machine 6 : 875 + 384 -> 1259
Job 0 Operation 2 on Machine 4 : 1113 + 109 -> 1222
Job 7 Operation 2 on Machine 7 : 1113 + 164 -> 1277
Job 1 Operation 1 on Machine 1 : 1155 + 168 -> 1323
Job 6 Operation 3 on Machine 5 : 1155 + 105 -> 1260
Job 4 Operation 6 on Machine 4 : 1222 + 133 -> 1355
Job 6 Operation 4 on Machine 0 : 1260 + 429 -> 1689
Job 7 Operation 3 on Machine 2 : 1277 + 224 -> 1501
Job 2 Operation 4 on Machine 1 : 1323 + 331 -> 1654
Job 1 Operation 2 on Machine 7 : 1323 + 112 -> 1435
Job 3 Operation 3 on Machine 4 : 1355 + 218 -> 1573
Job 4 Operation 7 on Machine 6 : 1355 + 239 -> 1594
Job 0 Operation 3 on Machine 7 : 1435 + 396 -> 1831
Job 3 Operation 4 on Machine 2 : 1573 + 380 -> 1953
Job 1 Operation 3 on Machine 4 : 1573 + 35 -> 1608
Job 1 Operation 4 on Machine 3 : 1608 + 372 -> 1980
Job 5 Operation 4 on Machine 4 : 1608 + 231 -> 1839
Job 7 Operation 4 on Machine 0 : 1689 + 107 -> 1796
Job 6 Operation 5 on Machine 6 : 1689 + 209 -> 1898
Job 0 Operation 4 on Machine 5 : 1831 + 150 -> 1981
Job 7 Operation 5 on Machine 6 : 1898 + 411 -> 2309
Job 6 Operation 6 on Machine 7 : 1898 + 397 -> 2295
Job 5 Operation 5 on Machine 2 : 1953 + 62 -> 2015
Job 1 Operation 5 on Machine 0 : 1980 + 88 -> 2068
Job 3 Operation 5 on Machine 3 : 1980 + 156 -> 2136
Job 0 Operation 5 on Machine 1 : 1981 + 165 -> 2146
Job 2 Operation 5 on Machine 5 : 1981 + 325 -> 2306
Job 5 Operation 6 on Machine 0 : 2068 + 278 -> 2346
Job 0 Operation 6 on Machine 3 : 2146 + 220 -> 2366
Job 6 Operation 7 on Machine 2 : 2295 + 276 -> 2571
Job 2 Operation 6 on Machine 7 : 2306 + 138 -> 2444
Job 3 Operation 6 on Machine 6 : 2309 + 71 -> 2380
Job 0 Operation 7 on Machine 0 : 2366 + 59 -> 2425
Job 7 Operation 6 on Machine 3 : 2366 + 304 -> 2670
Job 3 Operation 7 on Machine 5 : 2380 + 121 -> 2501
Job 1 Operation 6 on Machine 6 : 2380 + 281 -> 2661
Job 1 Operation 7 on Machine 5 : 2661 + 245 -> 2906
Job 2 Operation 7 on Machine 6 : 2661 + 249 -> 2910
Job 7 Operation 7 on Machine 1 : 2670 + 151 -> 2821
Job 5 Operation 7 on Machine 3 : 2670 + 104 -> 2774
Makespan: 2910.0, as it is the maximum end completion time of Operation 7 |
8 | 8 | Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 118 mins.
Operation 1 on Machine 7 duration 130 mins.
Operation 2 on Machine 5 duration 12 mins.
Operation 3 on Machine 1 duration 94 mins.
Operation 4 on Machine 4 duration 70 mins.
Operation 5 on Machine 2 duration 108 mins.
Operation 6 on Machine 6 duration 138 mins.
Operation 7 on Machine 0 duration 64 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 86 mins.
Operation 1 on Machine 2 duration 3 mins.
Operation 2 on Machine 4 duration 48 mins.
Operation 3 on Machine 3 duration 119 mins.
Operation 4 on Machine 6 duration 38 mins.
Operation 5 on Machine 5 duration 12 mins.
Operation 6 on Machine 7 duration 72 mins.
Operation 7 on Machine 0 duration 17 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 123 mins.
Operation 1 on Machine 5 duration 115 mins.
Operation 2 on Machine 3 duration 6 mins.
Operation 3 on Machine 4 duration 50 mins.
Operation 4 on Machine 0 duration 82 mins.
Operation 5 on Machine 1 duration 7 mins.
Operation 6 on Machine 6 duration 132 mins.
Operation 7 on Machine 2 duration 77 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 34 mins.
Operation 1 on Machine 4 duration 59 mins.
Operation 2 on Machine 0 duration 117 mins.
Operation 3 on Machine 2 duration 122 mins.
Operation 4 on Machine 5 duration 61 mins.
Operation 5 on Machine 6 duration 78 mins.
Operation 6 on Machine 7 duration 122 mins.
Operation 7 on Machine 3 duration 113 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 21 mins.
Operation 1 on Machine 3 duration 72 mins.
Operation 2 on Machine 2 duration 61 mins.
Operation 3 on Machine 7 duration 32 mins.
Operation 4 on Machine 4 duration 52 mins.
Operation 5 on Machine 1 duration 13 mins.
Operation 6 on Machine 6 duration 74 mins.
Operation 7 on Machine 0 duration 141 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 107 mins.
Operation 1 on Machine 7 duration 86 mins.
Operation 2 on Machine 3 duration 129 mins.
Operation 3 on Machine 1 duration 70 mins.
Operation 4 on Machine 0 duration 22 mins.
Operation 5 on Machine 2 duration 73 mins.
Operation 6 on Machine 5 duration 49 mins.
Operation 7 on Machine 6 duration 28 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 60 mins.
Operation 1 on Machine 6 duration 17 mins.
Operation 2 on Machine 7 duration 134 mins.
Operation 3 on Machine 1 duration 121 mins.
Operation 4 on Machine 2 duration 47 mins.
Operation 5 on Machine 0 duration 140 mins.
Operation 6 on Machine 4 duration 135 mins.
Operation 7 on Machine 3 duration 21 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 108 mins.
Operation 1 on Machine 4 duration 89 mins.
Operation 2 on Machine 0 duration 70 mins.
Operation 3 on Machine 2 duration 18 mins.
Operation 4 on Machine 7 duration 96 mins.
Operation 5 on Machine 6 duration 52 mins.
Operation 6 on Machine 3 duration 129 mins.
Operation 7 on Machine 5 duration 83 mins.
| Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 2 duration 117 mins.
Job 7 Operation 2 duration 70 mins.
Job 2 Operation 4 duration 82 mins.
Job 5 Operation 4 duration 22 mins.
Job 6 Operation 5 duration 140 mins.
Job 0 Operation 7 duration 64 mins.
Job 1 Operation 7 duration 17 mins.
Job 4 Operation 7 duration 141 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 86 mins.
Job 3 Operation 0 duration 34 mins.
Job 7 Operation 0 duration 108 mins.
Job 0 Operation 3 duration 94 mins.
Job 5 Operation 3 duration 70 mins.
Job 6 Operation 3 duration 121 mins.
Job 2 Operation 5 duration 7 mins.
Job 4 Operation 5 duration 13 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 3 mins.
Job 4 Operation 2 duration 61 mins.
Job 3 Operation 3 duration 122 mins.
Job 7 Operation 3 duration 18 mins.
Job 6 Operation 4 duration 47 mins.
Job 0 Operation 5 duration 108 mins.
Job 5 Operation 5 duration 73 mins.
Job 2 Operation 7 duration 77 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 118 mins.
Job 4 Operation 1 duration 72 mins.
Job 2 Operation 2 duration 6 mins.
Job 5 Operation 2 duration 129 mins.
Job 1 Operation 3 duration 119 mins.
Job 7 Operation 6 duration 129 mins.
Job 3 Operation 7 duration 113 mins.
Job 6 Operation 7 duration 21 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 107 mins.
Job 3 Operation 1 duration 59 mins.
Job 7 Operation 1 duration 89 mins.
Job 1 Operation 2 duration 48 mins.
Job 2 Operation 3 duration 50 mins.
Job 0 Operation 4 duration 70 mins.
Job 4 Operation 4 duration 52 mins.
Job 6 Operation 6 duration 135 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 0 duration 21 mins.
Job 6 Operation 0 duration 60 mins.
Job 2 Operation 1 duration 115 mins.
Job 0 Operation 2 duration 12 mins.
Job 3 Operation 4 duration 61 mins.
Job 1 Operation 5 duration 12 mins.
Job 5 Operation 6 duration 49 mins.
Job 7 Operation 7 duration 83 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 1 duration 17 mins.
Job 1 Operation 4 duration 38 mins.
Job 3 Operation 5 duration 78 mins.
Job 7 Operation 5 duration 52 mins.
Job 0 Operation 6 duration 138 mins.
Job 2 Operation 6 duration 132 mins.
Job 4 Operation 6 duration 74 mins.
Job 5 Operation 7 duration 28 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 123 mins.
Job 0 Operation 1 duration 130 mins.
Job 5 Operation 1 duration 86 mins.
Job 6 Operation 2 duration 134 mins.
Job 4 Operation 3 duration 32 mins.
Job 7 Operation 4 duration 96 mins.
Job 1 Operation 6 duration 72 mins.
Job 3 Operation 6 duration 122 mins.
| Solution:
Job 1 Operation 0 on Machine 1 : 0 + 86 -> 86
Job 0 Operation 0 on Machine 3 : 0 + 118 -> 118
Job 5 Operation 0 on Machine 4 : 0 + 107 -> 107
Job 4 Operation 0 on Machine 5 : 0 + 21 -> 21
Job 2 Operation 0 on Machine 7 : 0 + 123 -> 123
Job 6 Operation 0 on Machine 5 : 21 + 60 -> 81
Job 6 Operation 1 on Machine 6 : 81 + 17 -> 98
Job 3 Operation 0 on Machine 1 : 86 + 34 -> 120
Job 1 Operation 1 on Machine 2 : 86 + 3 -> 89
Job 4 Operation 1 on Machine 3 : 118 + 72 -> 190
Job 7 Operation 0 on Machine 1 : 120 + 108 -> 228
Job 3 Operation 1 on Machine 4 : 120 + 59 -> 179
Job 2 Operation 1 on Machine 5 : 123 + 115 -> 238
Job 6 Operation 2 on Machine 7 : 123 + 134 -> 257
Job 3 Operation 2 on Machine 0 : 179 + 117 -> 296
Job 1 Operation 2 on Machine 4 : 179 + 48 -> 227
Job 4 Operation 2 on Machine 2 : 190 + 61 -> 251
Job 2 Operation 2 on Machine 3 : 238 + 6 -> 244
Job 1 Operation 3 on Machine 3 : 244 + 119 -> 363
Job 2 Operation 3 on Machine 4 : 244 + 50 -> 294
Job 6 Operation 3 on Machine 1 : 257 + 121 -> 378
Job 0 Operation 1 on Machine 7 : 257 + 130 -> 387
Job 7 Operation 1 on Machine 4 : 294 + 89 -> 383
Job 2 Operation 4 on Machine 0 : 296 + 82 -> 378
Job 3 Operation 3 on Machine 2 : 296 + 122 -> 418
Job 1 Operation 4 on Machine 6 : 363 + 38 -> 401
Job 2 Operation 5 on Machine 1 : 378 + 7 -> 385
Job 7 Operation 2 on Machine 0 : 383 + 70 -> 453
Job 0 Operation 2 on Machine 5 : 387 + 12 -> 399
Job 4 Operation 3 on Machine 7 : 387 + 32 -> 419
Job 0 Operation 3 on Machine 1 : 399 + 94 -> 493
Job 2 Operation 6 on Machine 6 : 401 + 132 -> 533
Job 3 Operation 4 on Machine 5 : 418 + 61 -> 479
Job 4 Operation 4 on Machine 4 : 419 + 52 -> 471
Job 5 Operation 1 on Machine 7 : 419 + 86 -> 505
Job 7 Operation 3 on Machine 2 : 453 + 18 -> 471
Job 6 Operation 4 on Machine 2 : 471 + 47 -> 518
Job 1 Operation 5 on Machine 5 : 479 + 12 -> 491
Job 4 Operation 5 on Machine 1 : 493 + 13 -> 506
Job 0 Operation 4 on Machine 4 : 493 + 70 -> 563
Job 5 Operation 2 on Machine 3 : 505 + 129 -> 634
Job 7 Operation 4 on Machine 7 : 505 + 96 -> 601
Job 6 Operation 5 on Machine 0 : 518 + 140 -> 658
Job 3 Operation 5 on Machine 6 : 533 + 78 -> 611
Job 0 Operation 5 on Machine 2 : 563 + 108 -> 671
Job 1 Operation 6 on Machine 7 : 601 + 72 -> 673
Job 7 Operation 5 on Machine 6 : 611 + 52 -> 663
Job 5 Operation 3 on Machine 1 : 634 + 70 -> 704
Job 6 Operation 6 on Machine 4 : 658 + 135 -> 793
Job 7 Operation 6 on Machine 3 : 663 + 129 -> 792
Job 4 Operation 6 on Machine 6 : 663 + 74 -> 737
Job 1 Operation 7 on Machine 0 : 673 + 17 -> 690
Job 3 Operation 6 on Machine 7 : 673 + 122 -> 795
Job 5 Operation 4 on Machine 0 : 704 + 22 -> 726
Job 5 Operation 5 on Machine 2 : 726 + 73 -> 799
Job 4 Operation 7 on Machine 0 : 737 + 141 -> 878
Job 0 Operation 6 on Machine 6 : 737 + 138 -> 875
Job 6 Operation 7 on Machine 3 : 793 + 21 -> 814
Job 2 Operation 7 on Machine 2 : 799 + 77 -> 876
Job 5 Operation 6 on Machine 5 : 799 + 49 -> 848
Job 3 Operation 7 on Machine 3 : 814 + 113 -> 927
Job 7 Operation 7 on Machine 5 : 848 + 83 -> 931
Job 5 Operation 7 on Machine 6 : 875 + 28 -> 903
Job 0 Operation 7 on Machine 0 : 878 + 64 -> 942
Makespan: 942.0, as it is the maximum end completion time of Operation 7 |
6 | 6 | Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 15 mins.
Operation 1 on Machine 2 duration 33 mins.
Operation 2 on Machine 4 duration 19 mins.
Operation 3 on Machine 1 duration 23 mins.
Operation 4 on Machine 0 duration 49 mins.
Operation 5 on Machine 3 duration 26 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 18 mins.
Operation 1 on Machine 4 duration 23 mins.
Operation 2 on Machine 1 duration 26 mins.
Operation 3 on Machine 2 duration 35 mins.
Operation 4 on Machine 5 duration 60 mins.
Operation 5 on Machine 0 duration 14 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 22 mins.
Operation 1 on Machine 1 duration 52 mins.
Operation 2 on Machine 0 duration 6 mins.
Operation 3 on Machine 5 duration 19 mins.
Operation 4 on Machine 4 duration 31 mins.
Operation 5 on Machine 2 duration 11 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 58 mins.
Operation 1 on Machine 3 duration 24 mins.
Operation 2 on Machine 2 duration 19 mins.
Operation 3 on Machine 1 duration 11 mins.
Operation 4 on Machine 0 duration 13 mins.
Operation 5 on Machine 5 duration 32 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 33 mins.
Operation 1 on Machine 2 duration 48 mins.
Operation 2 on Machine 3 duration 43 mins.
Operation 3 on Machine 1 duration 14 mins.
Operation 4 on Machine 0 duration 10 mins.
Operation 5 on Machine 5 duration 37 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 40 mins.
Operation 1 on Machine 0 duration 6 mins.
Operation 2 on Machine 1 duration 23 mins.
Operation 3 on Machine 2 duration 3 mins.
Operation 4 on Machine 4 duration 26 mins.
Operation 5 on Machine 5 duration 23 mins.
| Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 1 duration 6 mins.
Job 2 Operation 2 duration 6 mins.
Job 0 Operation 4 duration 49 mins.
Job 3 Operation 4 duration 13 mins.
Job 4 Operation 4 duration 10 mins.
Job 1 Operation 5 duration 14 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 1 duration 52 mins.
Job 1 Operation 2 duration 26 mins.
Job 5 Operation 2 duration 23 mins.
Job 0 Operation 3 duration 23 mins.
Job 3 Operation 3 duration 11 mins.
Job 4 Operation 3 duration 14 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 33 mins.
Job 4 Operation 1 duration 48 mins.
Job 3 Operation 2 duration 19 mins.
Job 1 Operation 3 duration 35 mins.
Job 5 Operation 3 duration 3 mins.
Job 2 Operation 5 duration 11 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 18 mins.
Job 2 Operation 0 duration 22 mins.
Job 5 Operation 0 duration 40 mins.
Job 3 Operation 1 duration 24 mins.
Job 4 Operation 2 duration 43 mins.
Job 0 Operation 5 duration 26 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 58 mins.
Job 4 Operation 0 duration 33 mins.
Job 1 Operation 1 duration 23 mins.
Job 0 Operation 2 duration 19 mins.
Job 2 Operation 4 duration 31 mins.
Job 5 Operation 4 duration 26 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 15 mins.
Job 2 Operation 3 duration 19 mins.
Job 1 Operation 4 duration 60 mins.
Job 3 Operation 5 duration 32 mins.
Job 4 Operation 5 duration 37 mins.
Job 5 Operation 5 duration 23 mins.
| Solution:
Job 2 Operation 0 on Machine 3 : 0 + 22 -> 22
Job 4 Operation 0 on Machine 4 : 0 + 33 -> 33
Job 0 Operation 0 on Machine 5 : 0 + 15 -> 15
Job 0 Operation 1 on Machine 2 : 15 + 33 -> 48
Job 2 Operation 1 on Machine 1 : 22 + 52 -> 74
Job 1 Operation 0 on Machine 3 : 22 + 18 -> 40
Job 5 Operation 0 on Machine 3 : 40 + 40 -> 80
Job 1 Operation 1 on Machine 4 : 40 + 23 -> 63
Job 4 Operation 1 on Machine 2 : 48 + 48 -> 96
Job 0 Operation 2 on Machine 4 : 63 + 19 -> 82
Job 2 Operation 2 on Machine 0 : 74 + 6 -> 80
Job 1 Operation 2 on Machine 1 : 74 + 26 -> 100
Job 5 Operation 1 on Machine 0 : 80 + 6 -> 86
Job 2 Operation 3 on Machine 5 : 80 + 19 -> 99
Job 4 Operation 2 on Machine 3 : 96 + 43 -> 139
Job 2 Operation 4 on Machine 4 : 99 + 31 -> 130
Job 5 Operation 2 on Machine 1 : 100 + 23 -> 123
Job 1 Operation 3 on Machine 2 : 100 + 35 -> 135
Job 3 Operation 0 on Machine 4 : 130 + 58 -> 188
Job 2 Operation 5 on Machine 2 : 135 + 11 -> 146
Job 1 Operation 4 on Machine 5 : 135 + 60 -> 195
Job 4 Operation 3 on Machine 1 : 139 + 14 -> 153
Job 5 Operation 3 on Machine 2 : 146 + 3 -> 149
Job 4 Operation 4 on Machine 0 : 153 + 10 -> 163
Job 0 Operation 3 on Machine 1 : 153 + 23 -> 176
Job 0 Operation 4 on Machine 0 : 176 + 49 -> 225
Job 3 Operation 1 on Machine 3 : 188 + 24 -> 212
Job 5 Operation 4 on Machine 4 : 188 + 26 -> 214
Job 4 Operation 5 on Machine 5 : 195 + 37 -> 232
Job 3 Operation 2 on Machine 2 : 212 + 19 -> 231
Job 1 Operation 5 on Machine 0 : 225 + 14 -> 239
Job 0 Operation 5 on Machine 3 : 225 + 26 -> 251
Job 3 Operation 3 on Machine 1 : 231 + 11 -> 242
Job 5 Operation 5 on Machine 5 : 232 + 23 -> 255
Job 3 Operation 4 on Machine 0 : 242 + 13 -> 255
Job 3 Operation 5 on Machine 5 : 255 + 32 -> 287
Makespan: 287.0, as it is the maximum end completion time of Operation 5 |
10 | 5 | Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 20 mins.
Operation 1 on Machine 2 duration 42 mins.
Operation 2 on Machine 4 duration 39 mins.
Operation 3 on Machine 3 duration 11 mins.
Operation 4 on Machine 0 duration 302 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 319 mins.
Operation 1 on Machine 1 duration 255 mins.
Operation 2 on Machine 4 duration 238 mins.
Operation 3 on Machine 3 duration 8 mins.
Operation 4 on Machine 2 duration 143 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 255 mins.
Operation 1 on Machine 0 duration 173 mins.
Operation 2 on Machine 2 duration 244 mins.
Operation 3 on Machine 3 duration 60 mins.
Operation 4 on Machine 1 duration 253 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 169 mins.
Operation 1 on Machine 3 duration 162 mins.
Operation 2 on Machine 0 duration 19 mins.
Operation 3 on Machine 2 duration 236 mins.
Operation 4 on Machine 4 duration 30 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 138 mins.
Operation 1 on Machine 2 duration 80 mins.
Operation 2 on Machine 4 duration 152 mins.
Operation 3 on Machine 1 duration 162 mins.
Operation 4 on Machine 3 duration 144 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 77 mins.
Operation 1 on Machine 3 duration 336 mins.
Operation 2 on Machine 4 duration 284 mins.
Operation 3 on Machine 2 duration 197 mins.
Operation 4 on Machine 0 duration 204 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 108 mins.
Operation 1 on Machine 0 duration 17 mins.
Operation 2 on Machine 4 duration 119 mins.
Operation 3 on Machine 2 duration 50 mins.
Operation 4 on Machine 3 duration 281 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 235 mins.
Operation 1 on Machine 4 duration 144 mins.
Operation 2 on Machine 2 duration 308 mins.
Operation 3 on Machine 0 duration 313 mins.
Operation 4 on Machine 3 duration 10 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 112 mins.
Operation 1 on Machine 2 duration 178 mins.
Operation 2 on Machine 4 duration 153 mins.
Operation 3 on Machine 3 duration 196 mins.
Operation 4 on Machine 1 duration 367 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 355 mins.
Operation 1 on Machine 0 duration 93 mins.
Operation 2 on Machine 1 duration 42 mins.
Operation 3 on Machine 3 duration 291 mins.
Operation 4 on Machine 4 duration 195 mins.
| Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 319 mins.
Job 4 Operation 0 duration 138 mins.
Job 8 Operation 0 duration 112 mins.
Job 2 Operation 1 duration 173 mins.
Job 6 Operation 1 duration 17 mins.
Job 9 Operation 1 duration 93 mins.
Job 3 Operation 2 duration 19 mins.
Job 7 Operation 3 duration 313 mins.
Job 0 Operation 4 duration 302 mins.
Job 5 Operation 4 duration 204 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 20 mins.
Job 3 Operation 0 duration 169 mins.
Job 5 Operation 0 duration 77 mins.
Job 6 Operation 0 duration 108 mins.
Job 7 Operation 0 duration 235 mins.
Job 1 Operation 1 duration 255 mins.
Job 9 Operation 2 duration 42 mins.
Job 4 Operation 3 duration 162 mins.
Job 2 Operation 4 duration 253 mins.
Job 8 Operation 4 duration 367 mins.
Machine 2 is used for the following Operations:
Job 9 Operation 0 duration 355 mins.
Job 0 Operation 1 duration 42 mins.
Job 4 Operation 1 duration 80 mins.
Job 8 Operation 1 duration 178 mins.
Job 2 Operation 2 duration 244 mins.
Job 7 Operation 2 duration 308 mins.
Job 3 Operation 3 duration 236 mins.
Job 5 Operation 3 duration 197 mins.
Job 6 Operation 3 duration 50 mins.
Job 1 Operation 4 duration 143 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 1 duration 162 mins.
Job 5 Operation 1 duration 336 mins.
Job 0 Operation 3 duration 11 mins.
Job 1 Operation 3 duration 8 mins.
Job 2 Operation 3 duration 60 mins.
Job 8 Operation 3 duration 196 mins.
Job 9 Operation 3 duration 291 mins.
Job 4 Operation 4 duration 144 mins.
Job 6 Operation 4 duration 281 mins.
Job 7 Operation 4 duration 10 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 255 mins.
Job 7 Operation 1 duration 144 mins.
Job 0 Operation 2 duration 39 mins.
Job 1 Operation 2 duration 238 mins.
Job 4 Operation 2 duration 152 mins.
Job 5 Operation 2 duration 284 mins.
Job 6 Operation 2 duration 119 mins.
Job 8 Operation 2 duration 153 mins.
Job 3 Operation 4 duration 30 mins.
Job 9 Operation 4 duration 195 mins.
| Solution:
Job 8 Operation 0 on Machine 0 : 0 + 112 -> 112
Job 0 Operation 0 on Machine 1 : 0 + 20 -> 20
Job 9 Operation 0 on Machine 2 : 0 + 355 -> 355
Job 2 Operation 0 on Machine 4 : 0 + 255 -> 255
Job 5 Operation 0 on Machine 1 : 20 + 77 -> 97
Job 6 Operation 0 on Machine 1 : 97 + 108 -> 205
Job 5 Operation 1 on Machine 3 : 97 + 336 -> 433
Job 4 Operation 0 on Machine 0 : 112 + 138 -> 250
Job 7 Operation 0 on Machine 1 : 205 + 235 -> 440
Job 6 Operation 1 on Machine 0 : 250 + 17 -> 267
Job 2 Operation 1 on Machine 0 : 267 + 173 -> 440
Job 6 Operation 2 on Machine 4 : 267 + 119 -> 386
Job 0 Operation 1 on Machine 2 : 355 + 42 -> 397
Job 4 Operation 1 on Machine 2 : 397 + 80 -> 477
Job 0 Operation 2 on Machine 4 : 397 + 39 -> 436
Job 0 Operation 3 on Machine 3 : 436 + 11 -> 447
Job 9 Operation 1 on Machine 0 : 440 + 93 -> 533
Job 3 Operation 0 on Machine 1 : 440 + 169 -> 609
Job 7 Operation 1 on Machine 4 : 440 + 144 -> 584
Job 8 Operation 1 on Machine 2 : 477 + 178 -> 655
Job 1 Operation 0 on Machine 0 : 533 + 319 -> 852
Job 4 Operation 2 on Machine 4 : 584 + 152 -> 736
Job 9 Operation 2 on Machine 1 : 609 + 42 -> 651
Job 3 Operation 1 on Machine 3 : 609 + 162 -> 771
Job 6 Operation 3 on Machine 2 : 655 + 50 -> 705
Job 2 Operation 2 on Machine 2 : 705 + 244 -> 949
Job 4 Operation 3 on Machine 1 : 736 + 162 -> 898
Job 5 Operation 2 on Machine 4 : 736 + 284 -> 1020
Job 9 Operation 3 on Machine 3 : 771 + 291 -> 1062
Job 0 Operation 4 on Machine 0 : 852 + 302 -> 1154
Job 1 Operation 1 on Machine 1 : 898 + 255 -> 1153
Job 7 Operation 2 on Machine 2 : 949 + 308 -> 1257
Job 8 Operation 2 on Machine 4 : 1020 + 153 -> 1173
Job 2 Operation 3 on Machine 3 : 1062 + 60 -> 1122
Job 2 Operation 4 on Machine 1 : 1153 + 253 -> 1406
Job 3 Operation 2 on Machine 0 : 1154 + 19 -> 1173
Job 8 Operation 3 on Machine 3 : 1173 + 196 -> 1369
Job 1 Operation 2 on Machine 4 : 1173 + 238 -> 1411
Job 7 Operation 3 on Machine 0 : 1257 + 313 -> 1570
Job 5 Operation 3 on Machine 2 : 1257 + 197 -> 1454
Job 6 Operation 4 on Machine 3 : 1369 + 281 -> 1650
Job 8 Operation 4 on Machine 1 : 1406 + 367 -> 1773
Job 9 Operation 4 on Machine 4 : 1411 + 195 -> 1606
Job 3 Operation 3 on Machine 2 : 1454 + 236 -> 1690
Job 5 Operation 4 on Machine 0 : 1570 + 204 -> 1774
Job 7 Operation 4 on Machine 3 : 1650 + 10 -> 1660
Job 1 Operation 3 on Machine 3 : 1660 + 8 -> 1668
Job 4 Operation 4 on Machine 3 : 1668 + 144 -> 1812
Job 1 Operation 4 on Machine 2 : 1690 + 143 -> 1833
Job 3 Operation 4 on Machine 4 : 1690 + 30 -> 1720
Makespan: 1833.0, as it is the maximum end completion time of Operation 4 |
10 | 9 | Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 183 mins.
Operation 1 on Machine 6 duration 229 mins.
Operation 2 on Machine 1 duration 194 mins.
Operation 3 on Machine 3 duration 100 mins.
Operation 4 on Machine 7 duration 151 mins.
Operation 5 on Machine 0 duration 53 mins.
Operation 6 on Machine 5 duration 253 mins.
Operation 7 on Machine 2 duration 172 mins.
Operation 8 on Machine 8 duration 36 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 8 duration 255 mins.
Operation 1 on Machine 6 duration 11 mins.
Operation 2 on Machine 7 duration 88 mins.
Operation 3 on Machine 3 duration 254 mins.
Operation 4 on Machine 0 duration 135 mins.
Operation 5 on Machine 5 duration 80 mins.
Operation 6 on Machine 4 duration 141 mins.
Operation 7 on Machine 2 duration 283 mins.
Operation 8 on Machine 1 duration 266 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 2 mins.
Operation 1 on Machine 2 duration 223 mins.
Operation 2 on Machine 6 duration 88 mins.
Operation 3 on Machine 8 duration 82 mins.
Operation 4 on Machine 3 duration 108 mins.
Operation 5 on Machine 4 duration 229 mins.
Operation 6 on Machine 1 duration 54 mins.
Operation 7 on Machine 0 duration 44 mins.
Operation 8 on Machine 5 duration 221 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 7 duration 246 mins.
Operation 1 on Machine 2 duration 138 mins.
Operation 2 on Machine 4 duration 293 mins.
Operation 3 on Machine 6 duration 106 mins.
Operation 4 on Machine 5 duration 158 mins.
Operation 5 on Machine 8 duration 292 mins.
Operation 6 on Machine 0 duration 38 mins.
Operation 7 on Machine 3 duration 288 mins.
Operation 8 on Machine 1 duration 94 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 155 mins.
Operation 1 on Machine 0 duration 155 mins.
Operation 2 on Machine 2 duration 142 mins.
Operation 3 on Machine 6 duration 171 mins.
Operation 4 on Machine 4 duration 269 mins.
Operation 5 on Machine 8 duration 29 mins.
Operation 6 on Machine 3 duration 13 mins.
Operation 7 on Machine 7 duration 216 mins.
Operation 8 on Machine 1 duration 86 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 17 mins.
Operation 1 on Machine 1 duration 291 mins.
Operation 2 on Machine 3 duration 253 mins.
Operation 3 on Machine 4 duration 200 mins.
Operation 4 on Machine 2 duration 140 mins.
Operation 5 on Machine 6 duration 266 mins.
Operation 6 on Machine 7 duration 26 mins.
Operation 7 on Machine 0 duration 107 mins.
Operation 8 on Machine 8 duration 259 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 58 mins.
Operation 1 on Machine 2 duration 7 mins.
Operation 2 on Machine 5 duration 61 mins.
Operation 3 on Machine 4 duration 122 mins.
Operation 4 on Machine 0 duration 242 mins.
Operation 5 on Machine 3 duration 212 mins.
Operation 6 on Machine 8 duration 100 mins.
Operation 7 on Machine 6 duration 165 mins.
Operation 8 on Machine 1 duration 164 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 208 mins.
Operation 1 on Machine 8 duration 233 mins.
Operation 2 on Machine 2 duration 51 mins.
Operation 3 on Machine 0 duration 234 mins.
Operation 4 on Machine 4 duration 147 mins.
Operation 5 on Machine 5 duration 140 mins.
Operation 6 on Machine 6 duration 203 mins.
Operation 7 on Machine 7 duration 192 mins.
Operation 8 on Machine 1 duration 41 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 286 mins.
Operation 1 on Machine 2 duration 69 mins.
Operation 2 on Machine 0 duration 191 mins.
Operation 3 on Machine 7 duration 228 mins.
Operation 4 on Machine 1 duration 176 mins.
Operation 5 on Machine 3 duration 223 mins.
Operation 6 on Machine 4 duration 24 mins.
Operation 7 on Machine 8 duration 98 mins.
Operation 8 on Machine 6 duration 149 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 92 mins.
Operation 1 on Machine 6 duration 298 mins.
Operation 2 on Machine 2 duration 258 mins.
Operation 3 on Machine 5 duration 69 mins.
Operation 4 on Machine 4 duration 217 mins.
Operation 5 on Machine 8 duration 57 mins.
Operation 6 on Machine 7 duration 207 mins.
Operation 7 on Machine 1 duration 288 mins.
Operation 8 on Machine 0 duration 78 mins.
| Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 1 duration 155 mins.
Job 8 Operation 2 duration 191 mins.
Job 7 Operation 3 duration 234 mins.
Job 1 Operation 4 duration 135 mins.
Job 6 Operation 4 duration 242 mins.
Job 0 Operation 5 duration 53 mins.
Job 3 Operation 6 duration 38 mins.
Job 2 Operation 7 duration 44 mins.
Job 5 Operation 7 duration 107 mins.
Job 9 Operation 8 duration 78 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 1 duration 291 mins.
Job 0 Operation 2 duration 194 mins.
Job 8 Operation 4 duration 176 mins.
Job 2 Operation 6 duration 54 mins.
Job 9 Operation 7 duration 288 mins.
Job 1 Operation 8 duration 266 mins.
Job 3 Operation 8 duration 94 mins.
Job 4 Operation 8 duration 86 mins.
Job 6 Operation 8 duration 164 mins.
Job 7 Operation 8 duration 41 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 1 duration 223 mins.
Job 3 Operation 1 duration 138 mins.
Job 6 Operation 1 duration 7 mins.
Job 8 Operation 1 duration 69 mins.
Job 4 Operation 2 duration 142 mins.
Job 7 Operation 2 duration 51 mins.
Job 9 Operation 2 duration 258 mins.
Job 5 Operation 4 duration 140 mins.
Job 0 Operation 7 duration 172 mins.
Job 1 Operation 7 duration 283 mins.
Machine 3 is used for the following Operations:
Job 7 Operation 0 duration 208 mins.
Job 9 Operation 0 duration 92 mins.
Job 5 Operation 2 duration 253 mins.
Job 0 Operation 3 duration 100 mins.
Job 1 Operation 3 duration 254 mins.
Job 2 Operation 4 duration 108 mins.
Job 6 Operation 5 duration 212 mins.
Job 8 Operation 5 duration 223 mins.
Job 4 Operation 6 duration 13 mins.
Job 3 Operation 7 duration 288 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 183 mins.
Job 3 Operation 2 duration 293 mins.
Job 5 Operation 3 duration 200 mins.
Job 6 Operation 3 duration 122 mins.
Job 4 Operation 4 duration 269 mins.
Job 7 Operation 4 duration 147 mins.
Job 9 Operation 4 duration 217 mins.
Job 2 Operation 5 duration 229 mins.
Job 1 Operation 6 duration 141 mins.
Job 8 Operation 6 duration 24 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 0 duration 155 mins.
Job 5 Operation 0 duration 17 mins.
Job 8 Operation 0 duration 286 mins.
Job 6 Operation 2 duration 61 mins.
Job 9 Operation 3 duration 69 mins.
Job 3 Operation 4 duration 158 mins.
Job 1 Operation 5 duration 80 mins.
Job 7 Operation 5 duration 140 mins.
Job 0 Operation 6 duration 253 mins.
Job 2 Operation 8 duration 221 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 1 duration 229 mins.
Job 1 Operation 1 duration 11 mins.
Job 9 Operation 1 duration 298 mins.
Job 2 Operation 2 duration 88 mins.
Job 3 Operation 3 duration 106 mins.
Job 4 Operation 3 duration 171 mins.
Job 5 Operation 5 duration 266 mins.
Job 7 Operation 6 duration 203 mins.
Job 6 Operation 7 duration 165 mins.
Job 8 Operation 8 duration 149 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 2 mins.
Job 3 Operation 0 duration 246 mins.
Job 6 Operation 0 duration 58 mins.
Job 1 Operation 2 duration 88 mins.
Job 8 Operation 3 duration 228 mins.
Job 0 Operation 4 duration 151 mins.
Job 5 Operation 6 duration 26 mins.
Job 9 Operation 6 duration 207 mins.
Job 4 Operation 7 duration 216 mins.
Job 7 Operation 7 duration 192 mins.
Machine 8 is used for the following Operations:
Job 1 Operation 0 duration 255 mins.
Job 7 Operation 1 duration 233 mins.
Job 2 Operation 3 duration 82 mins.
Job 3 Operation 5 duration 292 mins.
Job 4 Operation 5 duration 29 mins.
Job 9 Operation 5 duration 57 mins.
Job 6 Operation 6 duration 100 mins.
Job 8 Operation 7 duration 98 mins.
Job 0 Operation 8 duration 36 mins.
Job 5 Operation 8 duration 259 mins.
| Solution:
Job 9 Operation 0 on Machine 3 : 0 + 92 -> 92
Job 5 Operation 0 on Machine 5 : 0 + 17 -> 17
Job 6 Operation 0 on Machine 7 : 0 + 58 -> 58
Job 1 Operation 0 on Machine 8 : 0 + 255 -> 255
Job 5 Operation 1 on Machine 1 : 17 + 291 -> 308
Job 6 Operation 1 on Machine 2 : 58 + 7 -> 65
Job 2 Operation 0 on Machine 7 : 58 + 2 -> 60
Job 3 Operation 0 on Machine 7 : 60 + 246 -> 306
Job 2 Operation 1 on Machine 2 : 65 + 223 -> 288
Job 6 Operation 2 on Machine 5 : 65 + 61 -> 126
Job 7 Operation 0 on Machine 3 : 92 + 208 -> 300
Job 9 Operation 1 on Machine 6 : 92 + 298 -> 390
Job 6 Operation 3 on Machine 4 : 126 + 122 -> 248
Job 8 Operation 0 on Machine 5 : 126 + 286 -> 412
Job 6 Operation 4 on Machine 0 : 248 + 242 -> 490
Job 0 Operation 0 on Machine 4 : 248 + 183 -> 431
Job 7 Operation 1 on Machine 8 : 300 + 233 -> 533
Job 3 Operation 1 on Machine 2 : 306 + 138 -> 444
Job 5 Operation 2 on Machine 3 : 308 + 253 -> 561
Job 1 Operation 1 on Machine 6 : 390 + 11 -> 401
Job 2 Operation 2 on Machine 6 : 401 + 88 -> 489
Job 1 Operation 2 on Machine 7 : 401 + 88 -> 489
Job 4 Operation 0 on Machine 5 : 412 + 155 -> 567
Job 8 Operation 1 on Machine 2 : 444 + 69 -> 513
Job 3 Operation 2 on Machine 4 : 444 + 293 -> 737
Job 0 Operation 1 on Machine 6 : 489 + 229 -> 718
Job 8 Operation 2 on Machine 0 : 513 + 191 -> 704
Job 9 Operation 2 on Machine 2 : 513 + 258 -> 771
Job 2 Operation 3 on Machine 8 : 533 + 82 -> 615
Job 6 Operation 5 on Machine 3 : 561 + 212 -> 773
Job 4 Operation 1 on Machine 0 : 704 + 155 -> 859
Job 8 Operation 3 on Machine 7 : 704 + 228 -> 932
Job 0 Operation 2 on Machine 1 : 718 + 194 -> 912
Job 5 Operation 3 on Machine 4 : 737 + 200 -> 937
Job 3 Operation 3 on Machine 6 : 737 + 106 -> 843
Job 7 Operation 2 on Machine 2 : 771 + 51 -> 822
Job 9 Operation 3 on Machine 5 : 771 + 69 -> 840
Job 1 Operation 3 on Machine 3 : 773 + 254 -> 1027
Job 6 Operation 6 on Machine 8 : 773 + 100 -> 873
Job 3 Operation 4 on Machine 5 : 843 + 158 -> 1001
Job 7 Operation 3 on Machine 0 : 859 + 234 -> 1093
Job 4 Operation 2 on Machine 2 : 859 + 142 -> 1001
Job 6 Operation 7 on Machine 6 : 873 + 165 -> 1038
Job 8 Operation 4 on Machine 1 : 932 + 176 -> 1108
Job 9 Operation 4 on Machine 4 : 937 + 217 -> 1154
Job 5 Operation 4 on Machine 2 : 1001 + 140 -> 1141
Job 0 Operation 3 on Machine 3 : 1027 + 100 -> 1127
Job 4 Operation 3 on Machine 6 : 1038 + 171 -> 1209
Job 1 Operation 4 on Machine 0 : 1093 + 135 -> 1228
Job 6 Operation 8 on Machine 1 : 1108 + 164 -> 1272
Job 2 Operation 4 on Machine 3 : 1127 + 108 -> 1235
Job 7 Operation 4 on Machine 4 : 1154 + 147 -> 1301
Job 9 Operation 5 on Machine 8 : 1154 + 57 -> 1211
Job 5 Operation 5 on Machine 6 : 1209 + 266 -> 1475
Job 9 Operation 6 on Machine 7 : 1211 + 207 -> 1418
Job 3 Operation 5 on Machine 8 : 1211 + 292 -> 1503
Job 1 Operation 5 on Machine 5 : 1228 + 80 -> 1308
Job 8 Operation 5 on Machine 3 : 1235 + 223 -> 1458
Job 1 Operation 6 on Machine 4 : 1308 + 141 -> 1449
Job 7 Operation 5 on Machine 5 : 1308 + 140 -> 1448
Job 9 Operation 7 on Machine 1 : 1418 + 288 -> 1706
Job 1 Operation 7 on Machine 2 : 1449 + 283 -> 1732
Job 2 Operation 5 on Machine 4 : 1449 + 229 -> 1678
Job 7 Operation 6 on Machine 6 : 1475 + 203 -> 1678
Job 5 Operation 6 on Machine 7 : 1475 + 26 -> 1501
Job 0 Operation 4 on Machine 7 : 1501 + 151 -> 1652
Job 3 Operation 6 on Machine 0 : 1503 + 38 -> 1541
Job 5 Operation 7 on Machine 0 : 1541 + 107 -> 1648
Job 3 Operation 7 on Machine 3 : 1541 + 288 -> 1829
Job 5 Operation 8 on Machine 8 : 1648 + 259 -> 1907
Job 0 Operation 5 on Machine 0 : 1652 + 53 -> 1705
Job 4 Operation 4 on Machine 4 : 1678 + 269 -> 1947
Job 7 Operation 7 on Machine 7 : 1678 + 192 -> 1870
Job 0 Operation 6 on Machine 5 : 1705 + 253 -> 1958
Job 9 Operation 8 on Machine 0 : 1706 + 78 -> 1784
Job 2 Operation 6 on Machine 1 : 1706 + 54 -> 1760
Job 1 Operation 8 on Machine 1 : 1760 + 266 -> 2026
Job 2 Operation 7 on Machine 0 : 1784 + 44 -> 1828
Job 8 Operation 6 on Machine 4 : 1947 + 24 -> 1971
Job 4 Operation 5 on Machine 8 : 1947 + 29 -> 1976
Job 0 Operation 7 on Machine 2 : 1958 + 172 -> 2130
Job 2 Operation 8 on Machine 5 : 1958 + 221 -> 2179
Job 4 Operation 6 on Machine 3 : 1976 + 13 -> 1989
Job 8 Operation 7 on Machine 8 : 1976 + 98 -> 2074
Job 4 Operation 7 on Machine 7 : 1989 + 216 -> 2205
Job 3 Operation 8 on Machine 1 : 2026 + 94 -> 2120
Job 8 Operation 8 on Machine 6 : 2074 + 149 -> 2223
Job 7 Operation 8 on Machine 1 : 2120 + 41 -> 2161
Job 0 Operation 8 on Machine 8 : 2130 + 36 -> 2166
Job 4 Operation 8 on Machine 1 : 2205 + 86 -> 2291
Makespan: 2291.0, as it is the maximum end completion time of Operation 8 |
8 | 5 | Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 60 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 4 duration 37 mins.
Operation 3 on Machine 2 duration 26 mins.
Operation 4 on Machine 1 duration 12 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 70 mins.
Operation 1 on Machine 0 duration 15 mins.
Operation 2 on Machine 2 duration 15 mins.
Operation 3 on Machine 1 duration 67 mins.
Operation 4 on Machine 3 duration 25 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 25 mins.
Operation 1 on Machine 1 duration 19 mins.
Operation 2 on Machine 3 duration 68 mins.
Operation 3 on Machine 4 duration 71 mins.
Operation 4 on Machine 0 duration 52 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 7 mins.
Operation 1 on Machine 2 duration 2 mins.
Operation 2 on Machine 0 duration 54 mins.
Operation 3 on Machine 4 duration 16 mins.
Operation 4 on Machine 3 duration 38 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 57 mins.
Operation 1 on Machine 0 duration 32 mins.
Operation 2 on Machine 2 duration 39 mins.
Operation 3 on Machine 3 duration 41 mins.
Operation 4 on Machine 1 duration 41 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 2 mins.
Operation 1 on Machine 0 duration 40 mins.
Operation 2 on Machine 1 duration 65 mins.
Operation 3 on Machine 2 duration 17 mins.
Operation 4 on Machine 4 duration 70 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 28 mins.
Operation 1 on Machine 2 duration 17 mins.
Operation 2 on Machine 3 duration 8 mins.
Operation 3 on Machine 1 duration 37 mins.
Operation 4 on Machine 4 duration 59 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 43 mins.
Operation 1 on Machine 3 duration 15 mins.
Operation 2 on Machine 1 duration 1 mins.
Operation 3 on Machine 0 duration 15 mins.
Operation 4 on Machine 2 duration 40 mins.
| Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 28 mins.
Job 0 Operation 1 duration 8 mins.
Job 1 Operation 1 duration 15 mins.
Job 4 Operation 1 duration 32 mins.
Job 5 Operation 1 duration 40 mins.
Job 3 Operation 2 duration 54 mins.
Job 7 Operation 3 duration 15 mins.
Job 2 Operation 4 duration 52 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 7 mins.
Job 2 Operation 1 duration 19 mins.
Job 5 Operation 2 duration 65 mins.
Job 7 Operation 2 duration 1 mins.
Job 1 Operation 3 duration 67 mins.
Job 6 Operation 3 duration 37 mins.
Job 0 Operation 4 duration 12 mins.
Job 4 Operation 4 duration 41 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 25 mins.
Job 3 Operation 1 duration 2 mins.
Job 6 Operation 1 duration 17 mins.
Job 1 Operation 2 duration 15 mins.
Job 4 Operation 2 duration 39 mins.
Job 0 Operation 3 duration 26 mins.
Job 5 Operation 3 duration 17 mins.
Job 7 Operation 4 duration 40 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 60 mins.
Job 5 Operation 0 duration 2 mins.
Job 7 Operation 1 duration 15 mins.
Job 2 Operation 2 duration 68 mins.
Job 6 Operation 2 duration 8 mins.
Job 4 Operation 3 duration 41 mins.
Job 1 Operation 4 duration 25 mins.
Job 3 Operation 4 duration 38 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 70 mins.
Job 4 Operation 0 duration 57 mins.
Job 7 Operation 0 duration 43 mins.
Job 0 Operation 2 duration 37 mins.
Job 2 Operation 3 duration 71 mins.
Job 3 Operation 3 duration 16 mins.
Job 5 Operation 4 duration 70 mins.
Job 6 Operation 4 duration 59 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 28 -> 28
Job 3 Operation 0 on Machine 1 : 0 + 7 -> 7
Job 2 Operation 0 on Machine 2 : 0 + 25 -> 25
Job 5 Operation 0 on Machine 3 : 0 + 2 -> 2
Job 1 Operation 0 on Machine 4 : 0 + 70 -> 70
Job 0 Operation 0 on Machine 3 : 2 + 60 -> 62
Job 2 Operation 1 on Machine 1 : 25 + 19 -> 44
Job 3 Operation 1 on Machine 2 : 25 + 2 -> 27
Job 6 Operation 1 on Machine 2 : 28 + 17 -> 45
Job 0 Operation 1 on Machine 0 : 62 + 8 -> 70
Job 6 Operation 2 on Machine 3 : 62 + 8 -> 70
Job 5 Operation 1 on Machine 0 : 70 + 40 -> 110
Job 6 Operation 3 on Machine 1 : 70 + 37 -> 107
Job 2 Operation 2 on Machine 3 : 70 + 68 -> 138
Job 0 Operation 2 on Machine 4 : 70 + 37 -> 107
Job 0 Operation 3 on Machine 2 : 107 + 26 -> 133
Job 6 Operation 4 on Machine 4 : 107 + 59 -> 166
Job 3 Operation 2 on Machine 0 : 110 + 54 -> 164
Job 0 Operation 4 on Machine 1 : 133 + 12 -> 145
Job 5 Operation 2 on Machine 1 : 145 + 65 -> 210
Job 1 Operation 1 on Machine 0 : 164 + 15 -> 179
Job 3 Operation 3 on Machine 4 : 166 + 16 -> 182
Job 1 Operation 2 on Machine 2 : 179 + 15 -> 194
Job 3 Operation 4 on Machine 3 : 182 + 38 -> 220
Job 4 Operation 0 on Machine 4 : 182 + 57 -> 239
Job 1 Operation 3 on Machine 1 : 210 + 67 -> 277
Job 5 Operation 3 on Machine 2 : 210 + 17 -> 227
Job 4 Operation 1 on Machine 0 : 239 + 32 -> 271
Job 7 Operation 0 on Machine 4 : 239 + 43 -> 282
Job 4 Operation 2 on Machine 2 : 271 + 39 -> 310
Job 1 Operation 4 on Machine 3 : 277 + 25 -> 302
Job 2 Operation 3 on Machine 4 : 282 + 71 -> 353
Job 7 Operation 1 on Machine 3 : 302 + 15 -> 317
Job 7 Operation 2 on Machine 1 : 317 + 1 -> 318
Job 4 Operation 3 on Machine 3 : 317 + 41 -> 358
Job 7 Operation 3 on Machine 0 : 318 + 15 -> 333
Job 7 Operation 4 on Machine 2 : 333 + 40 -> 373
Job 2 Operation 4 on Machine 0 : 353 + 52 -> 405
Job 5 Operation 4 on Machine 4 : 353 + 70 -> 423
Job 4 Operation 4 on Machine 1 : 358 + 41 -> 399
Makespan: 423.0, as it is the maximum end completion time of Operation 4 |
5 | 3 | Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 15 mins.
Operation 1 on Machine 1 duration 46 mins.
Operation 2 on Machine 0 duration 59 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 146 mins.
Operation 1 on Machine 0 duration 123 mins.
Operation 2 on Machine 2 duration 87 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 84 mins.
Operation 1 on Machine 2 duration 88 mins.
Operation 2 on Machine 0 duration 23 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 71 mins.
Operation 1 on Machine 1 duration 23 mins.
Operation 2 on Machine 0 duration 130 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 111 mins.
Operation 1 on Machine 1 duration 42 mins.
Operation 2 on Machine 0 duration 81 mins.
| Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 123 mins.
Job 0 Operation 2 duration 59 mins.
Job 2 Operation 2 duration 23 mins.
Job 3 Operation 2 duration 130 mins.
Job 4 Operation 2 duration 81 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 146 mins.
Job 2 Operation 0 duration 84 mins.
Job 0 Operation 1 duration 46 mins.
Job 3 Operation 1 duration 23 mins.
Job 4 Operation 1 duration 42 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 15 mins.
Job 3 Operation 0 duration 71 mins.
Job 4 Operation 0 duration 111 mins.
Job 2 Operation 1 duration 88 mins.
Job 1 Operation 2 duration 87 mins.
| Solution:
Job 0 Operation 0 on Machine 2 : 0 + 15 -> 15
Job 0 Operation 1 on Machine 1 : 15 + 46 -> 61
Job 3 Operation 0 on Machine 2 : 15 + 71 -> 86
Job 0 Operation 2 on Machine 0 : 61 + 59 -> 120
Job 3 Operation 1 on Machine 1 : 86 + 23 -> 109
Job 4 Operation 0 on Machine 2 : 86 + 111 -> 197
Job 1 Operation 0 on Machine 1 : 109 + 146 -> 255
Job 3 Operation 2 on Machine 0 : 120 + 130 -> 250
Job 1 Operation 1 on Machine 0 : 255 + 123 -> 378
Job 2 Operation 0 on Machine 1 : 255 + 84 -> 339
Job 4 Operation 1 on Machine 1 : 339 + 42 -> 381
Job 2 Operation 1 on Machine 2 : 339 + 88 -> 427
Job 4 Operation 2 on Machine 0 : 381 + 81 -> 462
Job 1 Operation 2 on Machine 2 : 427 + 87 -> 514
Job 2 Operation 2 on Machine 0 : 462 + 23 -> 485
Makespan: 514.0, as it is the maximum end completion time of Operation 2 |
9 | 4 | Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 135 mins.
Operation 1 on Machine 3 duration 244 mins.
Operation 2 on Machine 0 duration 111 mins.
Operation 3 on Machine 2 duration 175 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 205 mins.
Operation 1 on Machine 1 duration 291 mins.
Operation 2 on Machine 2 duration 218 mins.
Operation 3 on Machine 3 duration 251 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 75 mins.
Operation 1 on Machine 0 duration 265 mins.
Operation 2 on Machine 2 duration 174 mins.
Operation 3 on Machine 3 duration 355 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 342 mins.
Operation 1 on Machine 0 duration 317 mins.
Operation 2 on Machine 3 duration 102 mins.
Operation 3 on Machine 1 duration 239 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 30 mins.
Operation 1 on Machine 3 duration 178 mins.
Operation 2 on Machine 2 duration 170 mins.
Operation 3 on Machine 1 duration 312 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 69 mins.
Operation 1 on Machine 2 duration 1 mins.
Operation 2 on Machine 3 duration 280 mins.
Operation 3 on Machine 0 duration 34 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 182 mins.
Operation 1 on Machine 2 duration 135 mins.
Operation 2 on Machine 3 duration 20 mins.
Operation 3 on Machine 1 duration 124 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 346 mins.
Operation 1 on Machine 0 duration 66 mins.
Operation 2 on Machine 1 duration 75 mins.
Operation 3 on Machine 2 duration 331 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 282 mins.
Operation 1 on Machine 2 duration 243 mins.
Operation 2 on Machine 1 duration 87 mins.
Operation 3 on Machine 3 duration 323 mins.
| Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 205 mins.
Job 4 Operation 0 duration 30 mins.
Job 6 Operation 0 duration 182 mins.
Job 8 Operation 0 duration 282 mins.
Job 2 Operation 1 duration 265 mins.
Job 3 Operation 1 duration 317 mins.
Job 7 Operation 1 duration 66 mins.
Job 0 Operation 2 duration 111 mins.
Job 5 Operation 3 duration 34 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 135 mins.
Job 2 Operation 0 duration 75 mins.
Job 5 Operation 0 duration 69 mins.
Job 1 Operation 1 duration 291 mins.
Job 7 Operation 2 duration 75 mins.
Job 8 Operation 2 duration 87 mins.
Job 3 Operation 3 duration 239 mins.
Job 4 Operation 3 duration 312 mins.
Job 6 Operation 3 duration 124 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 342 mins.
Job 5 Operation 1 duration 1 mins.
Job 6 Operation 1 duration 135 mins.
Job 8 Operation 1 duration 243 mins.
Job 1 Operation 2 duration 218 mins.
Job 2 Operation 2 duration 174 mins.
Job 4 Operation 2 duration 170 mins.
Job 0 Operation 3 duration 175 mins.
Job 7 Operation 3 duration 331 mins.
Machine 3 is used for the following Operations:
Job 7 Operation 0 duration 346 mins.
Job 0 Operation 1 duration 244 mins.
Job 4 Operation 1 duration 178 mins.
Job 3 Operation 2 duration 102 mins.
Job 5 Operation 2 duration 280 mins.
Job 6 Operation 2 duration 20 mins.
Job 1 Operation 3 duration 251 mins.
Job 2 Operation 3 duration 355 mins.
Job 8 Operation 3 duration 323 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 30 -> 30
Job 5 Operation 0 on Machine 1 : 0 + 69 -> 69
Job 3 Operation 0 on Machine 2 : 0 + 342 -> 342
Job 7 Operation 0 on Machine 3 : 0 + 346 -> 346
Job 6 Operation 0 on Machine 0 : 30 + 182 -> 212
Job 2 Operation 0 on Machine 1 : 69 + 75 -> 144
Job 0 Operation 0 on Machine 1 : 144 + 135 -> 279
Job 1 Operation 0 on Machine 0 : 212 + 205 -> 417
Job 5 Operation 1 on Machine 2 : 342 + 1 -> 343
Job 6 Operation 1 on Machine 2 : 343 + 135 -> 478
Job 4 Operation 1 on Machine 3 : 346 + 178 -> 524
Job 7 Operation 1 on Machine 0 : 417 + 66 -> 483
Job 1 Operation 1 on Machine 1 : 417 + 291 -> 708
Job 2 Operation 1 on Machine 0 : 483 + 265 -> 748
Job 4 Operation 2 on Machine 2 : 524 + 170 -> 694
Job 6 Operation 2 on Machine 3 : 524 + 20 -> 544
Job 0 Operation 1 on Machine 3 : 544 + 244 -> 788
Job 7 Operation 2 on Machine 1 : 708 + 75 -> 783
Job 1 Operation 2 on Machine 2 : 708 + 218 -> 926
Job 8 Operation 0 on Machine 0 : 748 + 282 -> 1030
Job 6 Operation 3 on Machine 1 : 783 + 124 -> 907
Job 5 Operation 2 on Machine 3 : 788 + 280 -> 1068
Job 4 Operation 3 on Machine 1 : 907 + 312 -> 1219
Job 2 Operation 2 on Machine 2 : 926 + 174 -> 1100
Job 0 Operation 2 on Machine 0 : 1030 + 111 -> 1141
Job 1 Operation 3 on Machine 3 : 1068 + 251 -> 1319
Job 8 Operation 1 on Machine 2 : 1100 + 243 -> 1343
Job 5 Operation 3 on Machine 0 : 1141 + 34 -> 1175
Job 3 Operation 1 on Machine 0 : 1175 + 317 -> 1492
Job 2 Operation 3 on Machine 3 : 1319 + 355 -> 1674
Job 8 Operation 2 on Machine 1 : 1343 + 87 -> 1430
Job 0 Operation 3 on Machine 2 : 1343 + 175 -> 1518
Job 7 Operation 3 on Machine 2 : 1518 + 331 -> 1849
Job 3 Operation 2 on Machine 3 : 1674 + 102 -> 1776
Job 3 Operation 3 on Machine 1 : 1776 + 239 -> 2015
Job 8 Operation 3 on Machine 3 : 1776 + 323 -> 2099
Makespan: 2099.0, as it is the maximum end completion time of Operation 3 |
8 | 6 | Optimize schedule for 8 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 20 mins.
Operation 1 on Machine 1 duration 37 mins.
Operation 2 on Machine 2 duration 100 mins.
Operation 3 on Machine 3 duration 113 mins.
Operation 4 on Machine 4 duration 175 mins.
Operation 5 on Machine 5 duration 59 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 126 mins.
Operation 1 on Machine 3 duration 6 mins.
Operation 2 on Machine 4 duration 142 mins.
Operation 3 on Machine 5 duration 68 mins.
Operation 4 on Machine 1 duration 72 mins.
Operation 5 on Machine 2 duration 41 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 78 mins.
Operation 1 on Machine 5 duration 83 mins.
Operation 2 on Machine 1 duration 145 mins.
Operation 3 on Machine 0 duration 146 mins.
Operation 4 on Machine 2 duration 101 mins.
Operation 5 on Machine 3 duration 118 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 145 mins.
Operation 1 on Machine 4 duration 61 mins.
Operation 2 on Machine 0 duration 107 mins.
Operation 3 on Machine 1 duration 82 mins.
Operation 4 on Machine 5 duration 44 mins.
Operation 5 on Machine 3 duration 3 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 97 mins.
Operation 1 on Machine 0 duration 65 mins.
Operation 2 on Machine 3 duration 32 mins.
Operation 3 on Machine 1 duration 153 mins.
Operation 4 on Machine 2 duration 48 mins.
Operation 5 on Machine 5 duration 28 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 144 mins.
Operation 1 on Machine 1 duration 102 mins.
Operation 2 on Machine 3 duration 24 mins.
Operation 3 on Machine 2 duration 66 mins.
Operation 4 on Machine 0 duration 64 mins.
Operation 5 on Machine 4 duration 173 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 63 mins.
Operation 1 on Machine 4 duration 52 mins.
Operation 2 on Machine 1 duration 93 mins.
Operation 3 on Machine 3 duration 80 mins.
Operation 4 on Machine 0 duration 154 mins.
Operation 5 on Machine 5 duration 15 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 54 mins.
Operation 1 on Machine 0 duration 33 mins.
Operation 2 on Machine 1 duration 124 mins.
Operation 3 on Machine 3 duration 4 mins.
Operation 4 on Machine 2 duration 33 mins.
Operation 5 on Machine 5 duration 186 mins.
| Optimize schedule for 8 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 20 mins.
Job 1 Operation 0 duration 126 mins.
Job 4 Operation 1 duration 65 mins.
Job 7 Operation 1 duration 33 mins.
Job 3 Operation 2 duration 107 mins.
Job 2 Operation 3 duration 146 mins.
Job 5 Operation 4 duration 64 mins.
Job 6 Operation 4 duration 154 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 37 mins.
Job 5 Operation 1 duration 102 mins.
Job 2 Operation 2 duration 145 mins.
Job 6 Operation 2 duration 93 mins.
Job 7 Operation 2 duration 124 mins.
Job 3 Operation 3 duration 82 mins.
Job 4 Operation 3 duration 153 mins.
Job 1 Operation 4 duration 72 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 145 mins.
Job 6 Operation 0 duration 63 mins.
Job 0 Operation 2 duration 100 mins.
Job 5 Operation 3 duration 66 mins.
Job 2 Operation 4 duration 101 mins.
Job 4 Operation 4 duration 48 mins.
Job 7 Operation 4 duration 33 mins.
Job 1 Operation 5 duration 41 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 6 mins.
Job 4 Operation 2 duration 32 mins.
Job 5 Operation 2 duration 24 mins.
Job 0 Operation 3 duration 113 mins.
Job 6 Operation 3 duration 80 mins.
Job 7 Operation 3 duration 4 mins.
Job 2 Operation 5 duration 118 mins.
Job 3 Operation 5 duration 3 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 78 mins.
Job 4 Operation 0 duration 97 mins.
Job 7 Operation 0 duration 54 mins.
Job 3 Operation 1 duration 61 mins.
Job 6 Operation 1 duration 52 mins.
Job 1 Operation 2 duration 142 mins.
Job 0 Operation 4 duration 175 mins.
Job 5 Operation 5 duration 173 mins.
Machine 5 is used for the following Operations:
Job 5 Operation 0 duration 144 mins.
Job 2 Operation 1 duration 83 mins.
Job 1 Operation 3 duration 68 mins.
Job 3 Operation 4 duration 44 mins.
Job 0 Operation 5 duration 59 mins.
Job 4 Operation 5 duration 28 mins.
Job 6 Operation 5 duration 15 mins.
Job 7 Operation 5 duration 186 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 20 -> 20
Job 3 Operation 0 on Machine 2 : 0 + 145 -> 145
Job 7 Operation 0 on Machine 4 : 0 + 54 -> 54
Job 5 Operation 0 on Machine 5 : 0 + 144 -> 144
Job 0 Operation 1 on Machine 1 : 20 + 37 -> 57
Job 7 Operation 1 on Machine 0 : 54 + 33 -> 87
Job 4 Operation 0 on Machine 4 : 54 + 97 -> 151
Job 1 Operation 0 on Machine 0 : 87 + 126 -> 213
Job 7 Operation 2 on Machine 1 : 87 + 124 -> 211
Job 0 Operation 2 on Machine 2 : 145 + 100 -> 245
Job 2 Operation 0 on Machine 4 : 151 + 78 -> 229
Job 5 Operation 1 on Machine 1 : 211 + 102 -> 313
Job 4 Operation 1 on Machine 0 : 213 + 65 -> 278
Job 1 Operation 1 on Machine 3 : 213 + 6 -> 219
Job 7 Operation 3 on Machine 3 : 219 + 4 -> 223
Job 3 Operation 1 on Machine 4 : 229 + 61 -> 290
Job 2 Operation 1 on Machine 5 : 229 + 83 -> 312
Job 7 Operation 4 on Machine 2 : 245 + 33 -> 278
Job 6 Operation 0 on Machine 2 : 278 + 63 -> 341
Job 4 Operation 2 on Machine 3 : 278 + 32 -> 310
Job 3 Operation 2 on Machine 0 : 290 + 107 -> 397
Job 7 Operation 5 on Machine 5 : 312 + 186 -> 498
Job 2 Operation 2 on Machine 1 : 313 + 145 -> 458
Job 5 Operation 2 on Machine 3 : 313 + 24 -> 337
Job 0 Operation 3 on Machine 3 : 337 + 113 -> 450
Job 5 Operation 3 on Machine 2 : 341 + 66 -> 407
Job 6 Operation 1 on Machine 4 : 341 + 52 -> 393
Job 1 Operation 2 on Machine 4 : 393 + 142 -> 535
Job 5 Operation 4 on Machine 0 : 407 + 64 -> 471
Job 6 Operation 2 on Machine 1 : 458 + 93 -> 551
Job 2 Operation 3 on Machine 0 : 471 + 146 -> 617
Job 0 Operation 4 on Machine 4 : 535 + 175 -> 710
Job 1 Operation 3 on Machine 5 : 535 + 68 -> 603
Job 4 Operation 3 on Machine 1 : 551 + 153 -> 704
Job 6 Operation 3 on Machine 3 : 551 + 80 -> 631
Job 2 Operation 4 on Machine 2 : 617 + 101 -> 718
Job 6 Operation 4 on Machine 0 : 631 + 154 -> 785
Job 3 Operation 3 on Machine 1 : 704 + 82 -> 786
Job 5 Operation 5 on Machine 4 : 710 + 173 -> 883
Job 0 Operation 5 on Machine 5 : 710 + 59 -> 769
Job 4 Operation 4 on Machine 2 : 718 + 48 -> 766
Job 2 Operation 5 on Machine 3 : 718 + 118 -> 836
Job 6 Operation 5 on Machine 5 : 785 + 15 -> 800
Job 1 Operation 4 on Machine 1 : 786 + 72 -> 858
Job 4 Operation 5 on Machine 5 : 800 + 28 -> 828
Job 3 Operation 4 on Machine 5 : 828 + 44 -> 872
Job 1 Operation 5 on Machine 2 : 858 + 41 -> 899
Job 3 Operation 5 on Machine 3 : 872 + 3 -> 875
Makespan: 899.0, as it is the maximum end completion time of Operation 5 |
7 | 4 | Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 36 mins.
Operation 1 on Machine 1 duration 77 mins.
Operation 2 on Machine 3 duration 189 mins.
Operation 3 on Machine 0 duration 184 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 155 mins.
Operation 1 on Machine 0 duration 190 mins.
Operation 2 on Machine 3 duration 19 mins.
Operation 3 on Machine 1 duration 66 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 307 mins.
Operation 1 on Machine 1 duration 187 mins.
Operation 2 on Machine 3 duration 194 mins.
Operation 3 on Machine 2 duration 24 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 300 mins.
Operation 1 on Machine 0 duration 97 mins.
Operation 2 on Machine 2 duration 99 mins.
Operation 3 on Machine 1 duration 247 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 264 mins.
Operation 1 on Machine 2 duration 174 mins.
Operation 2 on Machine 3 duration 57 mins.
Operation 3 on Machine 0 duration 52 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 168 mins.
Operation 1 on Machine 2 duration 194 mins.
Operation 2 on Machine 0 duration 229 mins.
Operation 3 on Machine 3 duration 284 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 79 mins.
Operation 1 on Machine 1 duration 12 mins.
Operation 2 on Machine 0 duration 299 mins.
Operation 3 on Machine 3 duration 292 mins.
| Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 307 mins.
Job 1 Operation 1 duration 190 mins.
Job 3 Operation 1 duration 97 mins.
Job 5 Operation 2 duration 229 mins.
Job 6 Operation 2 duration 299 mins.
Job 0 Operation 3 duration 184 mins.
Job 4 Operation 3 duration 52 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 264 mins.
Job 5 Operation 0 duration 168 mins.
Job 0 Operation 1 duration 77 mins.
Job 2 Operation 1 duration 187 mins.
Job 6 Operation 1 duration 12 mins.
Job 1 Operation 3 duration 66 mins.
Job 3 Operation 3 duration 247 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 36 mins.
Job 1 Operation 0 duration 155 mins.
Job 6 Operation 0 duration 79 mins.
Job 4 Operation 1 duration 174 mins.
Job 5 Operation 1 duration 194 mins.
Job 3 Operation 2 duration 99 mins.
Job 2 Operation 3 duration 24 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 300 mins.
Job 0 Operation 2 duration 189 mins.
Job 1 Operation 2 duration 19 mins.
Job 2 Operation 2 duration 194 mins.
Job 4 Operation 2 duration 57 mins.
Job 5 Operation 3 duration 284 mins.
Job 6 Operation 3 duration 292 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 307 -> 307
Job 5 Operation 0 on Machine 1 : 0 + 168 -> 168
Job 0 Operation 0 on Machine 2 : 0 + 36 -> 36
Job 3 Operation 0 on Machine 3 : 0 + 300 -> 300
Job 6 Operation 0 on Machine 2 : 36 + 79 -> 115
Job 0 Operation 1 on Machine 1 : 168 + 77 -> 245
Job 5 Operation 1 on Machine 2 : 168 + 194 -> 362
Job 6 Operation 1 on Machine 1 : 245 + 12 -> 257
Job 0 Operation 2 on Machine 3 : 300 + 189 -> 489
Job 3 Operation 1 on Machine 0 : 307 + 97 -> 404
Job 2 Operation 1 on Machine 1 : 307 + 187 -> 494
Job 5 Operation 2 on Machine 0 : 404 + 229 -> 633
Job 3 Operation 2 on Machine 2 : 404 + 99 -> 503
Job 2 Operation 2 on Machine 3 : 494 + 194 -> 688
Job 3 Operation 3 on Machine 1 : 503 + 247 -> 750
Job 1 Operation 0 on Machine 2 : 503 + 155 -> 658
Job 6 Operation 2 on Machine 0 : 633 + 299 -> 932
Job 2 Operation 3 on Machine 2 : 688 + 24 -> 712
Job 5 Operation 3 on Machine 3 : 688 + 284 -> 972
Job 4 Operation 0 on Machine 1 : 750 + 264 -> 1014
Job 1 Operation 1 on Machine 0 : 932 + 190 -> 1122
Job 6 Operation 3 on Machine 3 : 972 + 292 -> 1264
Job 4 Operation 1 on Machine 2 : 1014 + 174 -> 1188
Job 0 Operation 3 on Machine 0 : 1122 + 184 -> 1306
Job 1 Operation 2 on Machine 3 : 1264 + 19 -> 1283
Job 1 Operation 3 on Machine 1 : 1283 + 66 -> 1349
Job 4 Operation 2 on Machine 3 : 1283 + 57 -> 1340
Job 4 Operation 3 on Machine 0 : 1340 + 52 -> 1392
Makespan: 1392.0, as it is the maximum end completion time of Operation 3 |
9 | 4 | Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 75 mins.
Operation 1 on Machine 2 duration 291 mins.
Operation 2 on Machine 3 duration 254 mins.
Operation 3 on Machine 0 duration 98 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 288 mins.
Operation 1 on Machine 0 duration 338 mins.
Operation 2 on Machine 1 duration 52 mins.
Operation 3 on Machine 3 duration 14 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 66 mins.
Operation 1 on Machine 3 duration 37 mins.
Operation 2 on Machine 1 duration 102 mins.
Operation 3 on Machine 2 duration 332 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 114 mins.
Operation 1 on Machine 2 duration 134 mins.
Operation 2 on Machine 0 duration 370 mins.
Operation 3 on Machine 3 duration 214 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 76 mins.
Operation 1 on Machine 2 duration 242 mins.
Operation 2 on Machine 0 duration 227 mins.
Operation 3 on Machine 3 duration 73 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 189 mins.
Operation 1 on Machine 3 duration 105 mins.
Operation 2 on Machine 0 duration 20 mins.
Operation 3 on Machine 2 duration 371 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 263 mins.
Operation 1 on Machine 1 duration 46 mins.
Operation 2 on Machine 3 duration 241 mins.
Operation 3 on Machine 0 duration 132 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 304 mins.
Operation 1 on Machine 0 duration 103 mins.
Operation 2 on Machine 1 duration 158 mins.
Operation 3 on Machine 3 duration 91 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 290 mins.
Operation 1 on Machine 2 duration 199 mins.
Operation 2 on Machine 0 duration 270 mins.
Operation 3 on Machine 3 duration 230 mins.
| Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 66 mins.
Job 1 Operation 1 duration 338 mins.
Job 7 Operation 1 duration 103 mins.
Job 3 Operation 2 duration 370 mins.
Job 4 Operation 2 duration 227 mins.
Job 5 Operation 2 duration 20 mins.
Job 8 Operation 2 duration 270 mins.
Job 0 Operation 3 duration 98 mins.
Job 6 Operation 3 duration 132 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 75 mins.
Job 3 Operation 0 duration 114 mins.
Job 4 Operation 0 duration 76 mins.
Job 5 Operation 0 duration 189 mins.
Job 8 Operation 0 duration 290 mins.
Job 6 Operation 1 duration 46 mins.
Job 1 Operation 2 duration 52 mins.
Job 2 Operation 2 duration 102 mins.
Job 7 Operation 2 duration 158 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 288 mins.
Job 6 Operation 0 duration 263 mins.
Job 7 Operation 0 duration 304 mins.
Job 0 Operation 1 duration 291 mins.
Job 3 Operation 1 duration 134 mins.
Job 4 Operation 1 duration 242 mins.
Job 8 Operation 1 duration 199 mins.
Job 2 Operation 3 duration 332 mins.
Job 5 Operation 3 duration 371 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 37 mins.
Job 5 Operation 1 duration 105 mins.
Job 0 Operation 2 duration 254 mins.
Job 6 Operation 2 duration 241 mins.
Job 1 Operation 3 duration 14 mins.
Job 3 Operation 3 duration 214 mins.
Job 4 Operation 3 duration 73 mins.
Job 7 Operation 3 duration 91 mins.
Job 8 Operation 3 duration 230 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 66 -> 66
Job 0 Operation 0 on Machine 1 : 0 + 75 -> 75
Job 6 Operation 0 on Machine 2 : 0 + 263 -> 263
Job 2 Operation 1 on Machine 3 : 66 + 37 -> 103
Job 4 Operation 0 on Machine 1 : 75 + 76 -> 151
Job 2 Operation 2 on Machine 1 : 151 + 102 -> 253
Job 3 Operation 0 on Machine 1 : 253 + 114 -> 367
Job 4 Operation 1 on Machine 2 : 263 + 242 -> 505
Job 6 Operation 1 on Machine 1 : 367 + 46 -> 413
Job 5 Operation 0 on Machine 1 : 413 + 189 -> 602
Job 6 Operation 2 on Machine 3 : 413 + 241 -> 654
Job 4 Operation 2 on Machine 0 : 505 + 227 -> 732
Job 3 Operation 1 on Machine 2 : 505 + 134 -> 639
Job 8 Operation 0 on Machine 1 : 602 + 290 -> 892
Job 1 Operation 0 on Machine 2 : 639 + 288 -> 927
Job 5 Operation 1 on Machine 3 : 654 + 105 -> 759
Job 6 Operation 3 on Machine 0 : 732 + 132 -> 864
Job 4 Operation 3 on Machine 3 : 759 + 73 -> 832
Job 5 Operation 2 on Machine 0 : 864 + 20 -> 884
Job 3 Operation 2 on Machine 0 : 884 + 370 -> 1254
Job 8 Operation 1 on Machine 2 : 927 + 199 -> 1126
Job 0 Operation 1 on Machine 2 : 1126 + 291 -> 1417
Job 8 Operation 2 on Machine 0 : 1254 + 270 -> 1524
Job 3 Operation 3 on Machine 3 : 1254 + 214 -> 1468
Job 7 Operation 0 on Machine 2 : 1417 + 304 -> 1721
Job 0 Operation 2 on Machine 3 : 1468 + 254 -> 1722
Job 1 Operation 1 on Machine 0 : 1524 + 338 -> 1862
Job 2 Operation 3 on Machine 2 : 1721 + 332 -> 2053
Job 8 Operation 3 on Machine 3 : 1722 + 230 -> 1952
Job 0 Operation 3 on Machine 0 : 1862 + 98 -> 1960
Job 1 Operation 2 on Machine 1 : 1862 + 52 -> 1914
Job 1 Operation 3 on Machine 3 : 1952 + 14 -> 1966
Job 7 Operation 1 on Machine 0 : 1960 + 103 -> 2063
Job 5 Operation 3 on Machine 2 : 2053 + 371 -> 2424
Job 7 Operation 2 on Machine 1 : 2063 + 158 -> 2221
Job 7 Operation 3 on Machine 3 : 2221 + 91 -> 2312
Makespan: 2424.0, as it is the maximum end completion time of Operation 3 |
20 | 20 | Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 18 duration 2 mins.
Operation 1 on Machine 6 duration 375 mins.
Operation 2 on Machine 14 duration 135 mins.
Operation 3 on Machine 17 duration 51 mins.
Operation 4 on Machine 9 duration 303 mins.
Operation 5 on Machine 0 duration 54 mins.
Operation 6 on Machine 19 duration 270 mins.
Operation 7 on Machine 13 duration 361 mins.
Operation 8 on Machine 2 duration 190 mins.
Operation 9 on Machine 8 duration 253 mins.
Operation 10 on Machine 11 duration 112 mins.
Operation 11 on Machine 4 duration 218 mins.
Operation 12 on Machine 10 duration 214 mins.
Operation 13 on Machine 15 duration 132 mins.
Operation 14 on Machine 16 duration 362 mins.
Operation 15 on Machine 7 duration 377 mins.
Operation 16 on Machine 5 duration 2 mins.
Operation 17 on Machine 3 duration 386 mins.
Operation 18 on Machine 1 duration 152 mins.
Operation 19 on Machine 12 duration 36 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 9 duration 90 mins.
Operation 1 on Machine 14 duration 240 mins.
Operation 2 on Machine 6 duration 18 mins.
Operation 3 on Machine 7 duration 168 mins.
Operation 4 on Machine 0 duration 306 mins.
Operation 5 on Machine 4 duration 359 mins.
Operation 6 on Machine 5 duration 87 mins.
Operation 7 on Machine 10 duration 315 mins.
Operation 8 on Machine 11 duration 19 mins.
Operation 9 on Machine 19 duration 38 mins.
Operation 10 on Machine 17 duration 281 mins.
Operation 11 on Machine 12 duration 218 mins.
Operation 12 on Machine 3 duration 299 mins.
Operation 13 on Machine 16 duration 282 mins.
Operation 14 on Machine 15 duration 261 mins.
Operation 15 on Machine 2 duration 166 mins.
Operation 16 on Machine 18 duration 282 mins.
Operation 17 on Machine 1 duration 242 mins.
Operation 18 on Machine 8 duration 239 mins.
Operation 19 on Machine 13 duration 233 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 10 duration 355 mins.
Operation 1 on Machine 1 duration 85 mins.
Operation 2 on Machine 7 duration 165 mins.
Operation 3 on Machine 17 duration 83 mins.
Operation 4 on Machine 12 duration 188 mins.
Operation 5 on Machine 19 duration 302 mins.
Operation 6 on Machine 13 duration 276 mins.
Operation 7 on Machine 16 duration 139 mins.
Operation 8 on Machine 2 duration 169 mins.
Operation 9 on Machine 0 duration 378 mins.
Operation 10 on Machine 15 duration 355 mins.
Operation 11 on Machine 6 duration 31 mins.
Operation 12 on Machine 18 duration 365 mins.
Operation 13 on Machine 14 duration 254 mins.
Operation 14 on Machine 3 duration 269 mins.
Operation 15 on Machine 5 duration 191 mins.
Operation 16 on Machine 8 duration 267 mins.
Operation 17 on Machine 11 duration 37 mins.
Operation 18 on Machine 4 duration 187 mins.
Operation 19 on Machine 9 duration 338 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 237 mins.
Operation 1 on Machine 8 duration 96 mins.
Operation 2 on Machine 6 duration 11 mins.
Operation 3 on Machine 10 duration 331 mins.
Operation 4 on Machine 4 duration 383 mins.
Operation 5 on Machine 19 duration 204 mins.
Operation 6 on Machine 12 duration 293 mins.
Operation 7 on Machine 1 duration 295 mins.
Operation 8 on Machine 17 duration 149 mins.
Operation 9 on Machine 13 duration 174 mins.
Operation 10 on Machine 14 duration 380 mins.
Operation 11 on Machine 3 duration 196 mins.
Operation 12 on Machine 2 duration 54 mins.
Operation 13 on Machine 0 duration 181 mins.
Operation 14 on Machine 9 duration 205 mins.
Operation 15 on Machine 16 duration 338 mins.
Operation 16 on Machine 18 duration 3 mins.
Operation 17 on Machine 7 duration 206 mins.
Operation 18 on Machine 15 duration 252 mins.
Operation 19 on Machine 11 duration 7 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 17 duration 334 mins.
Operation 1 on Machine 13 duration 47 mins.
Operation 2 on Machine 14 duration 33 mins.
Operation 3 on Machine 10 duration 265 mins.
Operation 4 on Machine 7 duration 79 mins.
Operation 5 on Machine 4 duration 146 mins.
Operation 6 on Machine 16 duration 121 mins.
Operation 7 on Machine 2 duration 19 mins.
Operation 8 on Machine 12 duration 1 mins.
Operation 9 on Machine 11 duration 289 mins.
Operation 10 on Machine 3 duration 35 mins.
Operation 11 on Machine 9 duration 39 mins.
Operation 12 on Machine 6 duration 89 mins.
Operation 13 on Machine 8 duration 378 mins.
Operation 14 on Machine 15 duration 295 mins.
Operation 15 on Machine 1 duration 330 mins.
Operation 16 on Machine 19 duration 98 mins.
Operation 17 on Machine 5 duration 293 mins.
Operation 18 on Machine 0 duration 144 mins.
Operation 19 on Machine 18 duration 148 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 16 duration 194 mins.
Operation 1 on Machine 12 duration 237 mins.
Operation 2 on Machine 9 duration 44 mins.
Operation 3 on Machine 11 duration 336 mins.
Operation 4 on Machine 4 duration 358 mins.
Operation 5 on Machine 14 duration 184 mins.
Operation 6 on Machine 2 duration 121 mins.
Operation 7 on Machine 5 duration 344 mins.
Operation 8 on Machine 15 duration 200 mins.
Operation 9 on Machine 19 duration 216 mins.
Operation 10 on Machine 3 duration 217 mins.
Operation 11 on Machine 18 duration 364 mins.
Operation 12 on Machine 7 duration 47 mins.
Operation 13 on Machine 1 duration 309 mins.
Operation 14 on Machine 17 duration 296 mins.
Operation 15 on Machine 13 duration 4 mins.
Operation 16 on Machine 10 duration 20 mins.
Operation 17 on Machine 6 duration 119 mins.
Operation 18 on Machine 8 duration 304 mins.
Operation 19 on Machine 0 duration 362 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 13 duration 63 mins.
Operation 1 on Machine 16 duration 120 mins.
Operation 2 on Machine 2 duration 20 mins.
Operation 3 on Machine 14 duration 272 mins.
Operation 4 on Machine 19 duration 178 mins.
Operation 5 on Machine 18 duration 264 mins.
Operation 6 on Machine 15 duration 121 mins.
Operation 7 on Machine 0 duration 288 mins.
Operation 8 on Machine 11 duration 339 mins.
Operation 9 on Machine 8 duration 66 mins.
Operation 10 on Machine 4 duration 161 mins.
Operation 11 on Machine 12 duration 321 mins.
Operation 12 on Machine 1 duration 45 mins.
Operation 13 on Machine 9 duration 81 mins.
Operation 14 on Machine 5 duration 93 mins.
Operation 15 on Machine 10 duration 201 mins.
Operation 16 on Machine 17 duration 263 mins.
Operation 17 on Machine 3 duration 174 mins.
Operation 18 on Machine 7 duration 241 mins.
Operation 19 on Machine 6 duration 254 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 189 mins.
Operation 1 on Machine 13 duration 9 mins.
Operation 2 on Machine 15 duration 287 mins.
Operation 3 on Machine 14 duration 13 mins.
Operation 4 on Machine 10 duration 2 mins.
Operation 5 on Machine 4 duration 269 mins.
Operation 6 on Machine 11 duration 48 mins.
Operation 7 on Machine 7 duration 296 mins.
Operation 8 on Machine 3 duration 123 mins.
Operation 9 on Machine 17 duration 208 mins.
Operation 10 on Machine 12 duration 67 mins.
Operation 11 on Machine 2 duration 167 mins.
Operation 12 on Machine 8 duration 334 mins.
Operation 13 on Machine 18 duration 239 mins.
Operation 14 on Machine 1 duration 10 mins.
Operation 15 on Machine 19 duration 313 mins.
Operation 16 on Machine 6 duration 274 mins.
Operation 17 on Machine 16 duration 17 mins.
Operation 18 on Machine 9 duration 198 mins.
Operation 19 on Machine 5 duration 327 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 378 mins.
Operation 1 on Machine 10 duration 22 mins.
Operation 2 on Machine 8 duration 147 mins.
Operation 3 on Machine 0 duration 325 mins.
Operation 4 on Machine 2 duration 156 mins.
Operation 5 on Machine 6 duration 74 mins.
Operation 6 on Machine 15 duration 33 mins.
Operation 7 on Machine 17 duration 339 mins.
Operation 8 on Machine 1 duration 166 mins.
Operation 9 on Machine 9 duration 358 mins.
Operation 10 on Machine 12 duration 141 mins.
Operation 11 on Machine 7 duration 18 mins.
Operation 12 on Machine 16 duration 241 mins.
Operation 13 on Machine 13 duration 212 mins.
Operation 14 on Machine 14 duration 359 mins.
Operation 15 on Machine 18 duration 49 mins.
Operation 16 on Machine 19 duration 251 mins.
Operation 17 on Machine 11 duration 256 mins.
Operation 18 on Machine 5 duration 44 mins.
Operation 19 on Machine 3 duration 318 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 359 mins.
Operation 1 on Machine 7 duration 66 mins.
Operation 2 on Machine 5 duration 207 mins.
Operation 3 on Machine 19 duration 176 mins.
Operation 4 on Machine 15 duration 47 mins.
Operation 5 on Machine 2 duration 175 mins.
Operation 6 on Machine 18 duration 216 mins.
Operation 7 on Machine 8 duration 91 mins.
Operation 8 on Machine 14 duration 169 mins.
Operation 9 on Machine 1 duration 285 mins.
Operation 10 on Machine 4 duration 75 mins.
Operation 11 on Machine 9 duration 381 mins.
Operation 12 on Machine 17 duration 229 mins.
Operation 13 on Machine 12 duration 88 mins.
Operation 14 on Machine 10 duration 14 mins.
Operation 15 on Machine 0 duration 98 mins.
Operation 16 on Machine 6 duration 74 mins.
Operation 17 on Machine 16 duration 180 mins.
Operation 18 on Machine 11 duration 20 mins.
Operation 19 on Machine 13 duration 186 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 10 duration 251 mins.
Operation 1 on Machine 19 duration 298 mins.
Operation 2 on Machine 5 duration 134 mins.
Operation 3 on Machine 15 duration 239 mins.
Operation 4 on Machine 1 duration 361 mins.
Operation 5 on Machine 11 duration 235 mins.
Operation 6 on Machine 8 duration 301 mins.
Operation 7 on Machine 3 duration 364 mins.
Operation 8 on Machine 2 duration 75 mins.
Operation 9 on Machine 9 duration 207 mins.
Operation 10 on Machine 7 duration 129 mins.
Operation 11 on Machine 6 duration 241 mins.
Operation 12 on Machine 18 duration 204 mins.
Operation 13 on Machine 12 duration 325 mins.
Operation 14 on Machine 0 duration 223 mins.
Operation 15 on Machine 13 duration 256 mins.
Operation 16 on Machine 14 duration 338 mins.
Operation 17 on Machine 16 duration 221 mins.
Operation 18 on Machine 17 duration 342 mins.
Operation 19 on Machine 4 duration 251 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 8 duration 10 mins.
Operation 1 on Machine 0 duration 45 mins.
Operation 2 on Machine 12 duration 102 mins.
Operation 3 on Machine 13 duration 172 mins.
Operation 4 on Machine 2 duration 143 mins.
Operation 5 on Machine 7 duration 159 mins.
Operation 6 on Machine 15 duration 311 mins.
Operation 7 on Machine 16 duration 273 mins.
Operation 8 on Machine 5 duration 9 mins.
Operation 9 on Machine 19 duration 167 mins.
Operation 10 on Machine 4 duration 246 mins.
Operation 11 on Machine 3 duration 232 mins.
Operation 12 on Machine 17 duration 372 mins.
Operation 13 on Machine 9 duration 70 mins.
Operation 14 on Machine 14 duration 177 mins.
Operation 15 on Machine 18 duration 14 mins.
Operation 16 on Machine 1 duration 39 mins.
Operation 17 on Machine 10 duration 294 mins.
Operation 18 on Machine 11 duration 135 mins.
Operation 19 on Machine 6 duration 161 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 15 duration 340 mins.
Operation 1 on Machine 19 duration 170 mins.
Operation 2 on Machine 17 duration 177 mins.
Operation 3 on Machine 3 duration 57 mins.
Operation 4 on Machine 16 duration 133 mins.
Operation 5 on Machine 5 duration 322 mins.
Operation 6 on Machine 11 duration 261 mins.
Operation 7 on Machine 1 duration 229 mins.
Operation 8 on Machine 18 duration 29 mins.
Operation 9 on Machine 7 duration 29 mins.
Operation 10 on Machine 2 duration 237 mins.
Operation 11 on Machine 12 duration 170 mins.
Operation 12 on Machine 6 duration 153 mins.
Operation 13 on Machine 0 duration 295 mins.
Operation 14 on Machine 8 duration 197 mins.
Operation 15 on Machine 13 duration 385 mins.
Operation 16 on Machine 9 duration 202 mins.
Operation 17 on Machine 4 duration 35 mins.
Operation 18 on Machine 14 duration 51 mins.
Operation 19 on Machine 10 duration 274 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 12 duration 265 mins.
Operation 1 on Machine 15 duration 228 mins.
Operation 2 on Machine 9 duration 99 mins.
Operation 3 on Machine 5 duration 346 mins.
Operation 4 on Machine 0 duration 218 mins.
Operation 5 on Machine 6 duration 104 mins.
Operation 6 on Machine 11 duration 224 mins.
Operation 7 on Machine 16 duration 344 mins.
Operation 8 on Machine 10 duration 62 mins.
Operation 9 on Machine 7 duration 384 mins.
Operation 10 on Machine 18 duration 386 mins.
Operation 11 on Machine 14 duration 362 mins.
Operation 12 on Machine 8 duration 262 mins.
Operation 13 on Machine 13 duration 231 mins.
Operation 14 on Machine 4 duration 168 mins.
Operation 15 on Machine 17 duration 172 mins.
Operation 16 on Machine 1 duration 257 mins.
Operation 17 on Machine 3 duration 67 mins.
Operation 18 on Machine 19 duration 202 mins.
Operation 19 on Machine 2 duration 94 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 17 duration 107 mins.
Operation 1 on Machine 2 duration 18 mins.
Operation 2 on Machine 1 duration 336 mins.
Operation 3 on Machine 11 duration 335 mins.
Operation 4 on Machine 12 duration 161 mins.
Operation 5 on Machine 8 duration 15 mins.
Operation 6 on Machine 10 duration 222 mins.
Operation 7 on Machine 3 duration 221 mins.
Operation 8 on Machine 14 duration 309 mins.
Operation 9 on Machine 13 duration 160 mins.
Operation 10 on Machine 0 duration 372 mins.
Operation 11 on Machine 9 duration 263 mins.
Operation 12 on Machine 15 duration 213 mins.
Operation 13 on Machine 16 duration 287 mins.
Operation 14 on Machine 4 duration 289 mins.
Operation 15 on Machine 18 duration 259 mins.
Operation 16 on Machine 5 duration 111 mins.
Operation 17 on Machine 7 duration 134 mins.
Operation 18 on Machine 19 duration 172 mins.
Operation 19 on Machine 6 duration 83 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 19 duration 318 mins.
Operation 1 on Machine 16 duration 144 mins.
Operation 2 on Machine 2 duration 292 mins.
Operation 3 on Machine 18 duration 220 mins.
Operation 4 on Machine 8 duration 272 mins.
Operation 5 on Machine 4 duration 166 mins.
Operation 6 on Machine 6 duration 47 mins.
Operation 7 on Machine 9 duration 34 mins.
Operation 8 on Machine 14 duration 115 mins.
Operation 9 on Machine 10 duration 267 mins.
Operation 10 on Machine 11 duration 47 mins.
Operation 11 on Machine 13 duration 214 mins.
Operation 12 on Machine 3 duration 332 mins.
Operation 13 on Machine 7 duration 115 mins.
Operation 14 on Machine 1 duration 7 mins.
Operation 15 on Machine 15 duration 152 mins.
Operation 16 on Machine 5 duration 321 mins.
Operation 17 on Machine 17 duration 94 mins.
Operation 18 on Machine 0 duration 86 mins.
Operation 19 on Machine 12 duration 129 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 19 duration 284 mins.
Operation 1 on Machine 8 duration 118 mins.
Operation 2 on Machine 16 duration 161 mins.
Operation 3 on Machine 7 duration 305 mins.
Operation 4 on Machine 13 duration 172 mins.
Operation 5 on Machine 4 duration 16 mins.
Operation 6 on Machine 10 duration 63 mins.
Operation 7 on Machine 0 duration 28 mins.
Operation 8 on Machine 18 duration 42 mins.
Operation 9 on Machine 11 duration 216 mins.
Operation 10 on Machine 17 duration 229 mins.
Operation 11 on Machine 14 duration 131 mins.
Operation 12 on Machine 15 duration 50 mins.
Operation 13 on Machine 6 duration 30 mins.
Operation 14 on Machine 9 duration 165 mins.
Operation 15 on Machine 1 duration 14 mins.
Operation 16 on Machine 2 duration 25 mins.
Operation 17 on Machine 12 duration 151 mins.
Operation 18 on Machine 3 duration 330 mins.
Operation 19 on Machine 5 duration 315 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 14 duration 336 mins.
Operation 1 on Machine 12 duration 385 mins.
Operation 2 on Machine 3 duration 120 mins.
Operation 3 on Machine 11 duration 370 mins.
Operation 4 on Machine 15 duration 102 mins.
Operation 5 on Machine 9 duration 194 mins.
Operation 6 on Machine 10 duration 69 mins.
Operation 7 on Machine 7 duration 167 mins.
Operation 8 on Machine 4 duration 271 mins.
Operation 9 on Machine 16 duration 8 mins.
Operation 10 on Machine 8 duration 201 mins.
Operation 11 on Machine 2 duration 3 mins.
Operation 12 on Machine 17 duration 260 mins.
Operation 13 on Machine 0 duration 123 mins.
Operation 14 on Machine 13 duration 80 mins.
Operation 15 on Machine 5 duration 5 mins.
Operation 16 on Machine 6 duration 42 mins.
Operation 17 on Machine 18 duration 176 mins.
Operation 18 on Machine 1 duration 189 mins.
Operation 19 on Machine 19 duration 262 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 15 duration 169 mins.
Operation 1 on Machine 6 duration 49 mins.
Operation 2 on Machine 10 duration 215 mins.
Operation 3 on Machine 18 duration 169 mins.
Operation 4 on Machine 11 duration 27 mins.
Operation 5 on Machine 9 duration 323 mins.
Operation 6 on Machine 14 duration 332 mins.
Operation 7 on Machine 8 duration 316 mins.
Operation 8 on Machine 2 duration 275 mins.
Operation 9 on Machine 1 duration 240 mins.
Operation 10 on Machine 4 duration 197 mins.
Operation 11 on Machine 7 duration 237 mins.
Operation 12 on Machine 13 duration 254 mins.
Operation 13 on Machine 5 duration 283 mins.
Operation 14 on Machine 12 duration 101 mins.
Operation 15 on Machine 3 duration 229 mins.
Operation 16 on Machine 0 duration 202 mins.
Operation 17 on Machine 17 duration 225 mins.
Operation 18 on Machine 16 duration 142 mins.
Operation 19 on Machine 19 duration 9 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 0 duration 289 mins.
Operation 1 on Machine 1 duration 170 mins.
Operation 2 on Machine 13 duration 316 mins.
Operation 3 on Machine 14 duration 56 mins.
Operation 4 on Machine 7 duration 373 mins.
Operation 5 on Machine 8 duration 251 mins.
Operation 6 on Machine 17 duration 277 mins.
Operation 7 on Machine 12 duration 165 mins.
Operation 8 on Machine 6 duration 244 mins.
Operation 9 on Machine 3 duration 363 mins.
Operation 10 on Machine 9 duration 100 mins.
Operation 11 on Machine 2 duration 48 mins.
Operation 12 on Machine 4 duration 140 mins.
Operation 13 on Machine 19 duration 228 mins.
Operation 14 on Machine 5 duration 195 mins.
Operation 15 on Machine 18 duration 275 mins.
Operation 16 on Machine 15 duration 16 mins.
Operation 17 on Machine 11 duration 184 mins.
Operation 18 on Machine 10 duration 10 mins.
Operation 19 on Machine 16 duration 111 mins.
| Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 7 Operation 0 duration 189 mins.
Job 19 Operation 0 duration 289 mins.
Job 11 Operation 1 duration 45 mins.
Job 8 Operation 3 duration 325 mins.
Job 1 Operation 4 duration 306 mins.
Job 13 Operation 4 duration 218 mins.
Job 0 Operation 5 duration 54 mins.
Job 6 Operation 7 duration 288 mins.
Job 16 Operation 7 duration 28 mins.
Job 2 Operation 9 duration 378 mins.
Job 14 Operation 10 duration 372 mins.
Job 3 Operation 13 duration 181 mins.
Job 12 Operation 13 duration 295 mins.
Job 17 Operation 13 duration 123 mins.
Job 10 Operation 14 duration 223 mins.
Job 9 Operation 15 duration 98 mins.
Job 18 Operation 16 duration 202 mins.
Job 4 Operation 18 duration 144 mins.
Job 15 Operation 18 duration 86 mins.
Job 5 Operation 19 duration 362 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 1 duration 85 mins.
Job 19 Operation 1 duration 170 mins.
Job 14 Operation 2 duration 336 mins.
Job 10 Operation 4 duration 361 mins.
Job 3 Operation 7 duration 295 mins.
Job 12 Operation 7 duration 229 mins.
Job 8 Operation 8 duration 166 mins.
Job 9 Operation 9 duration 285 mins.
Job 18 Operation 9 duration 240 mins.
Job 6 Operation 12 duration 45 mins.
Job 5 Operation 13 duration 309 mins.
Job 7 Operation 14 duration 10 mins.
Job 15 Operation 14 duration 7 mins.
Job 4 Operation 15 duration 330 mins.
Job 16 Operation 15 duration 14 mins.
Job 11 Operation 16 duration 39 mins.
Job 13 Operation 16 duration 257 mins.
Job 1 Operation 17 duration 242 mins.
Job 0 Operation 18 duration 152 mins.
Job 17 Operation 18 duration 189 mins.
Machine 2 is used for the following Operations:
Job 14 Operation 1 duration 18 mins.
Job 6 Operation 2 duration 20 mins.
Job 15 Operation 2 duration 292 mins.
Job 8 Operation 4 duration 156 mins.
Job 11 Operation 4 duration 143 mins.
Job 9 Operation 5 duration 175 mins.
Job 5 Operation 6 duration 121 mins.
Job 4 Operation 7 duration 19 mins.
Job 0 Operation 8 duration 190 mins.
Job 2 Operation 8 duration 169 mins.
Job 10 Operation 8 duration 75 mins.
Job 18 Operation 8 duration 275 mins.
Job 12 Operation 10 duration 237 mins.
Job 7 Operation 11 duration 167 mins.
Job 17 Operation 11 duration 3 mins.
Job 19 Operation 11 duration 48 mins.
Job 3 Operation 12 duration 54 mins.
Job 1 Operation 15 duration 166 mins.
Job 16 Operation 16 duration 25 mins.
Job 13 Operation 19 duration 94 mins.
Machine 3 is used for the following Operations:
Job 9 Operation 0 duration 359 mins.
Job 17 Operation 2 duration 120 mins.
Job 12 Operation 3 duration 57 mins.
Job 10 Operation 7 duration 364 mins.
Job 14 Operation 7 duration 221 mins.
Job 7 Operation 8 duration 123 mins.
Job 19 Operation 9 duration 363 mins.
Job 4 Operation 10 duration 35 mins.
Job 5 Operation 10 duration 217 mins.
Job 3 Operation 11 duration 196 mins.
Job 11 Operation 11 duration 232 mins.
Job 1 Operation 12 duration 299 mins.
Job 15 Operation 12 duration 332 mins.
Job 2 Operation 14 duration 269 mins.
Job 18 Operation 15 duration 229 mins.
Job 0 Operation 17 duration 386 mins.
Job 6 Operation 17 duration 174 mins.
Job 13 Operation 17 duration 67 mins.
Job 16 Operation 18 duration 330 mins.
Job 8 Operation 19 duration 318 mins.
Machine 4 is used for the following Operations:
Job 8 Operation 0 duration 378 mins.
Job 3 Operation 4 duration 383 mins.
Job 5 Operation 4 duration 358 mins.
Job 1 Operation 5 duration 359 mins.
Job 4 Operation 5 duration 146 mins.
Job 7 Operation 5 duration 269 mins.
Job 15 Operation 5 duration 166 mins.
Job 16 Operation 5 duration 16 mins.
Job 17 Operation 8 duration 271 mins.
Job 6 Operation 10 duration 161 mins.
Job 9 Operation 10 duration 75 mins.
Job 11 Operation 10 duration 246 mins.
Job 18 Operation 10 duration 197 mins.
Job 0 Operation 11 duration 218 mins.
Job 19 Operation 12 duration 140 mins.
Job 13 Operation 14 duration 168 mins.
Job 14 Operation 14 duration 289 mins.
Job 12 Operation 17 duration 35 mins.
Job 2 Operation 18 duration 187 mins.
Job 10 Operation 19 duration 251 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 237 mins.
Job 9 Operation 2 duration 207 mins.
Job 10 Operation 2 duration 134 mins.
Job 13 Operation 3 duration 346 mins.
Job 12 Operation 5 duration 322 mins.
Job 1 Operation 6 duration 87 mins.
Job 5 Operation 7 duration 344 mins.
Job 11 Operation 8 duration 9 mins.
Job 18 Operation 13 duration 283 mins.
Job 6 Operation 14 duration 93 mins.
Job 19 Operation 14 duration 195 mins.
Job 2 Operation 15 duration 191 mins.
Job 17 Operation 15 duration 5 mins.
Job 0 Operation 16 duration 2 mins.
Job 14 Operation 16 duration 111 mins.
Job 15 Operation 16 duration 321 mins.
Job 4 Operation 17 duration 293 mins.
Job 8 Operation 18 duration 44 mins.
Job 7 Operation 19 duration 327 mins.
Job 16 Operation 19 duration 315 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 1 duration 375 mins.
Job 18 Operation 1 duration 49 mins.
Job 1 Operation 2 duration 18 mins.
Job 3 Operation 2 duration 11 mins.
Job 8 Operation 5 duration 74 mins.
Job 13 Operation 5 duration 104 mins.
Job 15 Operation 6 duration 47 mins.
Job 19 Operation 8 duration 244 mins.
Job 2 Operation 11 duration 31 mins.
Job 10 Operation 11 duration 241 mins.
Job 4 Operation 12 duration 89 mins.
Job 12 Operation 12 duration 153 mins.
Job 16 Operation 13 duration 30 mins.
Job 7 Operation 16 duration 274 mins.
Job 9 Operation 16 duration 74 mins.
Job 17 Operation 16 duration 42 mins.
Job 5 Operation 17 duration 119 mins.
Job 6 Operation 19 duration 254 mins.
Job 11 Operation 19 duration 161 mins.
Job 14 Operation 19 duration 83 mins.
Machine 7 is used for the following Operations:
Job 9 Operation 1 duration 66 mins.
Job 2 Operation 2 duration 165 mins.
Job 1 Operation 3 duration 168 mins.
Job 16 Operation 3 duration 305 mins.
Job 4 Operation 4 duration 79 mins.
Job 19 Operation 4 duration 373 mins.
Job 11 Operation 5 duration 159 mins.
Job 7 Operation 7 duration 296 mins.
Job 17 Operation 7 duration 167 mins.
Job 12 Operation 9 duration 29 mins.
Job 13 Operation 9 duration 384 mins.
Job 10 Operation 10 duration 129 mins.
Job 8 Operation 11 duration 18 mins.
Job 18 Operation 11 duration 237 mins.
Job 5 Operation 12 duration 47 mins.
Job 15 Operation 13 duration 115 mins.
Job 0 Operation 15 duration 377 mins.
Job 3 Operation 17 duration 206 mins.
Job 14 Operation 17 duration 134 mins.
Job 6 Operation 18 duration 241 mins.
Machine 8 is used for the following Operations:
Job 11 Operation 0 duration 10 mins.
Job 3 Operation 1 duration 96 mins.
Job 16 Operation 1 duration 118 mins.
Job 8 Operation 2 duration 147 mins.
Job 15 Operation 4 duration 272 mins.
Job 14 Operation 5 duration 15 mins.
Job 19 Operation 5 duration 251 mins.
Job 10 Operation 6 duration 301 mins.
Job 9 Operation 7 duration 91 mins.
Job 18 Operation 7 duration 316 mins.
Job 0 Operation 9 duration 253 mins.
Job 6 Operation 9 duration 66 mins.
Job 17 Operation 10 duration 201 mins.
Job 7 Operation 12 duration 334 mins.
Job 13 Operation 12 duration 262 mins.
Job 4 Operation 13 duration 378 mins.
Job 12 Operation 14 duration 197 mins.
Job 2 Operation 16 duration 267 mins.
Job 1 Operation 18 duration 239 mins.
Job 5 Operation 18 duration 304 mins.
Machine 9 is used for the following Operations:
Job 1 Operation 0 duration 90 mins.
Job 5 Operation 2 duration 44 mins.
Job 13 Operation 2 duration 99 mins.
Job 0 Operation 4 duration 303 mins.
Job 17 Operation 5 duration 194 mins.
Job 18 Operation 5 duration 323 mins.
Job 15 Operation 7 duration 34 mins.
Job 8 Operation 9 duration 358 mins.
Job 10 Operation 9 duration 207 mins.
Job 19 Operation 10 duration 100 mins.
Job 4 Operation 11 duration 39 mins.
Job 9 Operation 11 duration 381 mins.
Job 14 Operation 11 duration 263 mins.
Job 6 Operation 13 duration 81 mins.
Job 11 Operation 13 duration 70 mins.
Job 3 Operation 14 duration 205 mins.
Job 16 Operation 14 duration 165 mins.
Job 12 Operation 16 duration 202 mins.
Job 7 Operation 18 duration 198 mins.
Job 2 Operation 19 duration 338 mins.
Machine 10 is used for the following Operations:
Job 2 Operation 0 duration 355 mins.
Job 10 Operation 0 duration 251 mins.
Job 8 Operation 1 duration 22 mins.
Job 18 Operation 2 duration 215 mins.
Job 3 Operation 3 duration 331 mins.
Job 4 Operation 3 duration 265 mins.
Job 7 Operation 4 duration 2 mins.
Job 14 Operation 6 duration 222 mins.
Job 16 Operation 6 duration 63 mins.
Job 17 Operation 6 duration 69 mins.
Job 1 Operation 7 duration 315 mins.
Job 13 Operation 8 duration 62 mins.
Job 15 Operation 9 duration 267 mins.
Job 0 Operation 12 duration 214 mins.
Job 9 Operation 14 duration 14 mins.
Job 6 Operation 15 duration 201 mins.
Job 5 Operation 16 duration 20 mins.
Job 11 Operation 17 duration 294 mins.
Job 19 Operation 18 duration 10 mins.
Job 12 Operation 19 duration 274 mins.
Machine 11 is used for the following Operations:
Job 5 Operation 3 duration 336 mins.
Job 14 Operation 3 duration 335 mins.
Job 17 Operation 3 duration 370 mins.
Job 18 Operation 4 duration 27 mins.
Job 10 Operation 5 duration 235 mins.
Job 7 Operation 6 duration 48 mins.
Job 12 Operation 6 duration 261 mins.
Job 13 Operation 6 duration 224 mins.
Job 1 Operation 8 duration 19 mins.
Job 6 Operation 8 duration 339 mins.
Job 4 Operation 9 duration 289 mins.
Job 16 Operation 9 duration 216 mins.
Job 0 Operation 10 duration 112 mins.
Job 15 Operation 10 duration 47 mins.
Job 2 Operation 17 duration 37 mins.
Job 8 Operation 17 duration 256 mins.
Job 19 Operation 17 duration 184 mins.
Job 9 Operation 18 duration 20 mins.
Job 11 Operation 18 duration 135 mins.
Job 3 Operation 19 duration 7 mins.
Machine 12 is used for the following Operations:
Job 13 Operation 0 duration 265 mins.
Job 5 Operation 1 duration 237 mins.
Job 17 Operation 1 duration 385 mins.
Job 11 Operation 2 duration 102 mins.
Job 2 Operation 4 duration 188 mins.
Job 14 Operation 4 duration 161 mins.
Job 3 Operation 6 duration 293 mins.
Job 19 Operation 7 duration 165 mins.
Job 4 Operation 8 duration 1 mins.
Job 7 Operation 10 duration 67 mins.
Job 8 Operation 10 duration 141 mins.
Job 1 Operation 11 duration 218 mins.
Job 6 Operation 11 duration 321 mins.
Job 12 Operation 11 duration 170 mins.
Job 9 Operation 13 duration 88 mins.
Job 10 Operation 13 duration 325 mins.
Job 18 Operation 14 duration 101 mins.
Job 16 Operation 17 duration 151 mins.
Job 0 Operation 19 duration 36 mins.
Job 15 Operation 19 duration 129 mins.
Machine 13 is used for the following Operations:
Job 6 Operation 0 duration 63 mins.
Job 4 Operation 1 duration 47 mins.
Job 7 Operation 1 duration 9 mins.
Job 19 Operation 2 duration 316 mins.
Job 11 Operation 3 duration 172 mins.
Job 16 Operation 4 duration 172 mins.
Job 2 Operation 6 duration 276 mins.
Job 0 Operation 7 duration 361 mins.
Job 3 Operation 9 duration 174 mins.
Job 14 Operation 9 duration 160 mins.
Job 15 Operation 11 duration 214 mins.
Job 18 Operation 12 duration 254 mins.
Job 8 Operation 13 duration 212 mins.
Job 13 Operation 13 duration 231 mins.
Job 17 Operation 14 duration 80 mins.
Job 5 Operation 15 duration 4 mins.
Job 10 Operation 15 duration 256 mins.
Job 12 Operation 15 duration 385 mins.
Job 1 Operation 19 duration 233 mins.
Job 9 Operation 19 duration 186 mins.
Machine 14 is used for the following Operations:
Job 17 Operation 0 duration 336 mins.
Job 1 Operation 1 duration 240 mins.
Job 0 Operation 2 duration 135 mins.
Job 4 Operation 2 duration 33 mins.
Job 6 Operation 3 duration 272 mins.
Job 7 Operation 3 duration 13 mins.
Job 19 Operation 3 duration 56 mins.
Job 5 Operation 5 duration 184 mins.
Job 18 Operation 6 duration 332 mins.
Job 9 Operation 8 duration 169 mins.
Job 14 Operation 8 duration 309 mins.
Job 15 Operation 8 duration 115 mins.
Job 3 Operation 10 duration 380 mins.
Job 13 Operation 11 duration 362 mins.
Job 16 Operation 11 duration 131 mins.
Job 2 Operation 13 duration 254 mins.
Job 8 Operation 14 duration 359 mins.
Job 11 Operation 14 duration 177 mins.
Job 10 Operation 16 duration 338 mins.
Job 12 Operation 18 duration 51 mins.
Machine 15 is used for the following Operations:
Job 12 Operation 0 duration 340 mins.
Job 18 Operation 0 duration 169 mins.
Job 13 Operation 1 duration 228 mins.
Job 7 Operation 2 duration 287 mins.
Job 10 Operation 3 duration 239 mins.
Job 9 Operation 4 duration 47 mins.
Job 17 Operation 4 duration 102 mins.
Job 6 Operation 6 duration 121 mins.
Job 8 Operation 6 duration 33 mins.
Job 11 Operation 6 duration 311 mins.
Job 5 Operation 8 duration 200 mins.
Job 2 Operation 10 duration 355 mins.
Job 14 Operation 12 duration 213 mins.
Job 16 Operation 12 duration 50 mins.
Job 0 Operation 13 duration 132 mins.
Job 1 Operation 14 duration 261 mins.
Job 4 Operation 14 duration 295 mins.
Job 15 Operation 15 duration 152 mins.
Job 19 Operation 16 duration 16 mins.
Job 3 Operation 18 duration 252 mins.
Machine 16 is used for the following Operations:
Job 5 Operation 0 duration 194 mins.
Job 6 Operation 1 duration 120 mins.
Job 15 Operation 1 duration 144 mins.
Job 16 Operation 2 duration 161 mins.
Job 12 Operation 4 duration 133 mins.
Job 4 Operation 6 duration 121 mins.
Job 2 Operation 7 duration 139 mins.
Job 11 Operation 7 duration 273 mins.
Job 13 Operation 7 duration 344 mins.
Job 17 Operation 9 duration 8 mins.
Job 8 Operation 12 duration 241 mins.
Job 1 Operation 13 duration 282 mins.
Job 14 Operation 13 duration 287 mins.
Job 0 Operation 14 duration 362 mins.
Job 3 Operation 15 duration 338 mins.
Job 7 Operation 17 duration 17 mins.
Job 9 Operation 17 duration 180 mins.
Job 10 Operation 17 duration 221 mins.
Job 18 Operation 18 duration 142 mins.
Job 19 Operation 19 duration 111 mins.
Machine 17 is used for the following Operations:
Job 4 Operation 0 duration 334 mins.
Job 14 Operation 0 duration 107 mins.
Job 12 Operation 2 duration 177 mins.
Job 0 Operation 3 duration 51 mins.
Job 2 Operation 3 duration 83 mins.
Job 19 Operation 6 duration 277 mins.
Job 8 Operation 7 duration 339 mins.
Job 3 Operation 8 duration 149 mins.
Job 7 Operation 9 duration 208 mins.
Job 1 Operation 10 duration 281 mins.
Job 16 Operation 10 duration 229 mins.
Job 9 Operation 12 duration 229 mins.
Job 11 Operation 12 duration 372 mins.
Job 17 Operation 12 duration 260 mins.
Job 5 Operation 14 duration 296 mins.
Job 13 Operation 15 duration 172 mins.
Job 6 Operation 16 duration 263 mins.
Job 15 Operation 17 duration 94 mins.
Job 18 Operation 17 duration 225 mins.
Job 10 Operation 18 duration 342 mins.
Machine 18 is used for the following Operations:
Job 0 Operation 0 duration 2 mins.
Job 15 Operation 3 duration 220 mins.
Job 18 Operation 3 duration 169 mins.
Job 6 Operation 5 duration 264 mins.
Job 9 Operation 6 duration 216 mins.
Job 12 Operation 8 duration 29 mins.
Job 16 Operation 8 duration 42 mins.
Job 13 Operation 10 duration 386 mins.
Job 5 Operation 11 duration 364 mins.
Job 2 Operation 12 duration 365 mins.
Job 10 Operation 12 duration 204 mins.
Job 7 Operation 13 duration 239 mins.
Job 8 Operation 15 duration 49 mins.
Job 11 Operation 15 duration 14 mins.
Job 14 Operation 15 duration 259 mins.
Job 19 Operation 15 duration 275 mins.
Job 1 Operation 16 duration 282 mins.
Job 3 Operation 16 duration 3 mins.
Job 17 Operation 17 duration 176 mins.
Job 4 Operation 19 duration 148 mins.
Machine 19 is used for the following Operations:
Job 15 Operation 0 duration 318 mins.
Job 16 Operation 0 duration 284 mins.
Job 10 Operation 1 duration 298 mins.
Job 12 Operation 1 duration 170 mins.
Job 9 Operation 3 duration 176 mins.
Job 6 Operation 4 duration 178 mins.
Job 2 Operation 5 duration 302 mins.
Job 3 Operation 5 duration 204 mins.
Job 0 Operation 6 duration 270 mins.
Job 1 Operation 9 duration 38 mins.
Job 5 Operation 9 duration 216 mins.
Job 11 Operation 9 duration 167 mins.
Job 19 Operation 13 duration 228 mins.
Job 7 Operation 15 duration 313 mins.
Job 4 Operation 16 duration 98 mins.
Job 8 Operation 16 duration 251 mins.
Job 13 Operation 18 duration 202 mins.
Job 14 Operation 18 duration 172 mins.
Job 17 Operation 19 duration 262 mins.
Job 18 Operation 19 duration 9 mins.
| Solution:
Job 19 Operation 0 on Machine 0 : 0 + 289 -> 289
Job 9 Operation 0 on Machine 3 : 0 + 359 -> 359
Job 8 Operation 0 on Machine 4 : 0 + 378 -> 378
Job 3 Operation 0 on Machine 5 : 0 + 237 -> 237
Job 11 Operation 0 on Machine 8 : 0 + 10 -> 10
Job 1 Operation 0 on Machine 9 : 0 + 90 -> 90
Job 2 Operation 0 on Machine 10 : 0 + 355 -> 355
Job 13 Operation 0 on Machine 12 : 0 + 265 -> 265
Job 6 Operation 0 on Machine 13 : 0 + 63 -> 63
Job 17 Operation 0 on Machine 14 : 0 + 336 -> 336
Job 12 Operation 0 on Machine 15 : 0 + 340 -> 340
Job 5 Operation 0 on Machine 16 : 0 + 194 -> 194
Job 4 Operation 0 on Machine 17 : 0 + 334 -> 334
Job 0 Operation 0 on Machine 18 : 0 + 2 -> 2
Job 15 Operation 0 on Machine 19 : 0 + 318 -> 318
Job 6 Operation 1 on Machine 16 : 194 + 120 -> 314
Job 3 Operation 1 on Machine 8 : 237 + 96 -> 333
Job 5 Operation 1 on Machine 12 : 265 + 237 -> 502
Job 7 Operation 0 on Machine 0 : 289 + 189 -> 478
Job 19 Operation 1 on Machine 1 : 289 + 170 -> 459
Job 6 Operation 2 on Machine 2 : 314 + 20 -> 334
Job 15 Operation 1 on Machine 16 : 318 + 144 -> 462
Job 16 Operation 0 on Machine 19 : 318 + 284 -> 602
Job 3 Operation 2 on Machine 6 : 333 + 11 -> 344
Job 4 Operation 1 on Machine 13 : 334 + 47 -> 381
Job 14 Operation 0 on Machine 17 : 334 + 107 -> 441
Job 13 Operation 1 on Machine 15 : 340 + 228 -> 568
Job 0 Operation 1 on Machine 6 : 344 + 375 -> 719
Job 9 Operation 1 on Machine 7 : 359 + 66 -> 425
Job 8 Operation 1 on Machine 10 : 378 + 22 -> 400
Job 4 Operation 2 on Machine 14 : 381 + 33 -> 414
Job 8 Operation 2 on Machine 8 : 400 + 147 -> 547
Job 4 Operation 3 on Machine 10 : 414 + 265 -> 679
Job 1 Operation 1 on Machine 14 : 414 + 240 -> 654
Job 9 Operation 2 on Machine 5 : 425 + 207 -> 632
Job 14 Operation 1 on Machine 2 : 441 + 18 -> 459
Job 2 Operation 1 on Machine 1 : 459 + 85 -> 544
Job 15 Operation 2 on Machine 2 : 462 + 292 -> 754
Job 11 Operation 1 on Machine 0 : 478 + 45 -> 523
Job 7 Operation 1 on Machine 13 : 478 + 9 -> 487
Job 19 Operation 2 on Machine 13 : 487 + 316 -> 803
Job 5 Operation 2 on Machine 9 : 502 + 44 -> 546
Job 17 Operation 1 on Machine 12 : 502 + 385 -> 887
Job 14 Operation 2 on Machine 1 : 544 + 336 -> 880
Job 2 Operation 2 on Machine 7 : 544 + 165 -> 709
Job 5 Operation 3 on Machine 11 : 546 + 336 -> 882
Job 8 Operation 3 on Machine 0 : 547 + 325 -> 872
Job 13 Operation 2 on Machine 9 : 568 + 99 -> 667
Job 7 Operation 2 on Machine 15 : 568 + 287 -> 855
Job 16 Operation 1 on Machine 8 : 602 + 118 -> 720
Job 12 Operation 1 on Machine 19 : 602 + 170 -> 772
Job 6 Operation 3 on Machine 14 : 654 + 272 -> 926
Job 13 Operation 3 on Machine 5 : 667 + 346 -> 1013
Job 10 Operation 0 on Machine 10 : 679 + 251 -> 930
Job 4 Operation 4 on Machine 7 : 709 + 79 -> 788
Job 1 Operation 2 on Machine 6 : 719 + 18 -> 737
Job 16 Operation 2 on Machine 16 : 720 + 161 -> 881
Job 15 Operation 3 on Machine 18 : 754 + 220 -> 974
Job 12 Operation 2 on Machine 17 : 772 + 177 -> 949
Job 9 Operation 3 on Machine 19 : 772 + 176 -> 948
Job 4 Operation 5 on Machine 4 : 788 + 146 -> 934
Job 1 Operation 3 on Machine 7 : 788 + 168 -> 956
Job 18 Operation 0 on Machine 15 : 855 + 169 -> 1024
Job 8 Operation 4 on Machine 2 : 872 + 156 -> 1028
Job 14 Operation 3 on Machine 11 : 882 + 335 -> 1217
Job 11 Operation 2 on Machine 12 : 887 + 102 -> 989
Job 7 Operation 3 on Machine 14 : 926 + 13 -> 939
Job 7 Operation 4 on Machine 10 : 939 + 2 -> 941
Job 0 Operation 2 on Machine 14 : 939 + 135 -> 1074
Job 7 Operation 5 on Machine 4 : 941 + 269 -> 1210
Job 6 Operation 4 on Machine 19 : 948 + 178 -> 1126
Job 12 Operation 3 on Machine 3 : 949 + 57 -> 1006
Job 2 Operation 3 on Machine 17 : 949 + 83 -> 1032
Job 16 Operation 3 on Machine 7 : 956 + 305 -> 1261
Job 15 Operation 4 on Machine 8 : 974 + 272 -> 1246
Job 11 Operation 3 on Machine 13 : 989 + 172 -> 1161
Job 17 Operation 2 on Machine 3 : 1006 + 120 -> 1126
Job 12 Operation 4 on Machine 16 : 1006 + 133 -> 1139
Job 13 Operation 4 on Machine 0 : 1013 + 218 -> 1231
Job 9 Operation 4 on Machine 15 : 1024 + 47 -> 1071
Job 8 Operation 5 on Machine 6 : 1028 + 74 -> 1102
Job 2 Operation 4 on Machine 12 : 1032 + 188 -> 1220
Job 9 Operation 5 on Machine 2 : 1071 + 175 -> 1246
Job 19 Operation 3 on Machine 14 : 1074 + 56 -> 1130
Job 0 Operation 3 on Machine 17 : 1074 + 51 -> 1125
Job 18 Operation 1 on Machine 6 : 1102 + 49 -> 1151
Job 8 Operation 6 on Machine 15 : 1102 + 33 -> 1135
Job 0 Operation 4 on Machine 9 : 1125 + 303 -> 1428
Job 6 Operation 5 on Machine 18 : 1126 + 264 -> 1390
Job 10 Operation 1 on Machine 19 : 1126 + 298 -> 1424
Job 8 Operation 7 on Machine 17 : 1135 + 339 -> 1474
Job 12 Operation 5 on Machine 5 : 1139 + 322 -> 1461
Job 4 Operation 6 on Machine 16 : 1139 + 121 -> 1260
Job 18 Operation 2 on Machine 10 : 1151 + 215 -> 1366
Job 7 Operation 6 on Machine 11 : 1217 + 48 -> 1265
Job 1 Operation 4 on Machine 0 : 1231 + 306 -> 1537
Job 13 Operation 5 on Machine 6 : 1231 + 104 -> 1335
Job 15 Operation 5 on Machine 4 : 1246 + 166 -> 1412
Job 4 Operation 7 on Machine 2 : 1260 + 19 -> 1279
Job 16 Operation 4 on Machine 13 : 1261 + 172 -> 1433
Job 7 Operation 7 on Machine 7 : 1265 + 296 -> 1561
Job 11 Operation 4 on Machine 2 : 1279 + 143 -> 1422
Job 4 Operation 8 on Machine 12 : 1279 + 1 -> 1280
Job 14 Operation 4 on Machine 12 : 1280 + 161 -> 1441
Job 13 Operation 6 on Machine 11 : 1335 + 224 -> 1559
Job 6 Operation 6 on Machine 15 : 1390 + 121 -> 1511
Job 18 Operation 3 on Machine 18 : 1390 + 169 -> 1559
Job 15 Operation 6 on Machine 6 : 1412 + 47 -> 1459
Job 2 Operation 5 on Machine 19 : 1424 + 302 -> 1726
Job 16 Operation 5 on Machine 4 : 1433 + 16 -> 1449
Job 14 Operation 5 on Machine 8 : 1441 + 15 -> 1456
Job 16 Operation 6 on Machine 10 : 1449 + 63 -> 1512
Job 15 Operation 7 on Machine 9 : 1459 + 34 -> 1493
Job 10 Operation 2 on Machine 5 : 1461 + 134 -> 1595
Job 8 Operation 8 on Machine 1 : 1474 + 166 -> 1640
Job 15 Operation 8 on Machine 14 : 1493 + 115 -> 1608
Job 0 Operation 5 on Machine 0 : 1537 + 54 -> 1591
Job 1 Operation 5 on Machine 4 : 1537 + 359 -> 1896
Job 18 Operation 4 on Machine 11 : 1559 + 27 -> 1586
Job 13 Operation 7 on Machine 16 : 1559 + 344 -> 1903
Job 7 Operation 8 on Machine 3 : 1561 + 123 -> 1684
Job 19 Operation 4 on Machine 7 : 1561 + 373 -> 1934
Job 16 Operation 7 on Machine 0 : 1591 + 28 -> 1619
Job 10 Operation 3 on Machine 15 : 1595 + 239 -> 1834
Job 15 Operation 9 on Machine 10 : 1608 + 267 -> 1875
Job 6 Operation 7 on Machine 0 : 1619 + 288 -> 1907
Job 16 Operation 8 on Machine 18 : 1619 + 42 -> 1661
Job 8 Operation 9 on Machine 9 : 1640 + 358 -> 1998
Job 16 Operation 9 on Machine 11 : 1661 + 216 -> 1877
Job 9 Operation 6 on Machine 18 : 1661 + 216 -> 1877
Job 2 Operation 6 on Machine 13 : 1726 + 276 -> 2002
Job 0 Operation 6 on Machine 19 : 1726 + 270 -> 1996
Job 10 Operation 4 on Machine 1 : 1834 + 361 -> 2195
Job 9 Operation 7 on Machine 8 : 1877 + 91 -> 1968
Job 15 Operation 10 on Machine 11 : 1877 + 47 -> 1924
Job 16 Operation 10 on Machine 17 : 1877 + 229 -> 2106
Job 5 Operation 4 on Machine 4 : 1896 + 358 -> 2254
Job 1 Operation 6 on Machine 5 : 1896 + 87 -> 1983
Job 13 Operation 8 on Machine 10 : 1903 + 62 -> 1965
Job 6 Operation 8 on Machine 11 : 1924 + 339 -> 2263
Job 13 Operation 9 on Machine 7 : 1965 + 384 -> 2349
Job 14 Operation 6 on Machine 10 : 1965 + 222 -> 2187
Job 19 Operation 5 on Machine 8 : 1968 + 251 -> 2219
Job 9 Operation 8 on Machine 14 : 1968 + 169 -> 2137
Job 18 Operation 5 on Machine 9 : 1998 + 323 -> 2321
Job 8 Operation 10 on Machine 12 : 1998 + 141 -> 2139
Job 15 Operation 11 on Machine 13 : 2002 + 214 -> 2216
Job 2 Operation 7 on Machine 16 : 2002 + 139 -> 2141
Job 7 Operation 9 on Machine 17 : 2106 + 208 -> 2314
Job 16 Operation 11 on Machine 14 : 2137 + 131 -> 2268
Job 2 Operation 8 on Machine 2 : 2141 + 169 -> 2310
Job 14 Operation 7 on Machine 3 : 2187 + 221 -> 2408
Job 3 Operation 3 on Machine 10 : 2187 + 331 -> 2518
Job 9 Operation 9 on Machine 1 : 2195 + 285 -> 2480
Job 0 Operation 7 on Machine 13 : 2216 + 361 -> 2577
Job 6 Operation 9 on Machine 8 : 2263 + 66 -> 2329
Job 10 Operation 5 on Machine 11 : 2263 + 235 -> 2498
Job 5 Operation 5 on Machine 14 : 2268 + 184 -> 2452
Job 16 Operation 12 on Machine 15 : 2268 + 50 -> 2318
Job 2 Operation 9 on Machine 0 : 2310 + 378 -> 2688
Job 7 Operation 10 on Machine 12 : 2314 + 67 -> 2381
Job 19 Operation 6 on Machine 17 : 2314 + 277 -> 2591
Job 16 Operation 13 on Machine 6 : 2318 + 30 -> 2348
Job 6 Operation 10 on Machine 4 : 2329 + 161 -> 2490
Job 16 Operation 14 on Machine 9 : 2348 + 165 -> 2513
Job 8 Operation 11 on Machine 7 : 2349 + 18 -> 2367
Job 13 Operation 10 on Machine 18 : 2349 + 386 -> 2735
Job 11 Operation 5 on Machine 7 : 2367 + 159 -> 2526
Job 8 Operation 12 on Machine 16 : 2367 + 241 -> 2608
Job 7 Operation 11 on Machine 2 : 2381 + 167 -> 2548
Job 15 Operation 12 on Machine 3 : 2408 + 332 -> 2740
Job 9 Operation 10 on Machine 4 : 2490 + 75 -> 2565
Job 6 Operation 11 on Machine 12 : 2490 + 321 -> 2811
Job 10 Operation 6 on Machine 8 : 2498 + 301 -> 2799
Job 12 Operation 6 on Machine 11 : 2498 + 261 -> 2759
Job 16 Operation 15 on Machine 1 : 2513 + 14 -> 2527
Job 1 Operation 7 on Machine 10 : 2518 + 315 -> 2833
Job 11 Operation 6 on Machine 15 : 2526 + 311 -> 2837
Job 3 Operation 4 on Machine 4 : 2565 + 383 -> 2948
Job 0 Operation 8 on Machine 2 : 2577 + 190 -> 2767
Job 8 Operation 13 on Machine 13 : 2608 + 212 -> 2820
Job 13 Operation 11 on Machine 14 : 2735 + 362 -> 3097
Job 15 Operation 13 on Machine 7 : 2740 + 115 -> 2855
Job 16 Operation 16 on Machine 2 : 2767 + 25 -> 2792
Job 5 Operation 6 on Machine 2 : 2792 + 121 -> 2913
Job 10 Operation 7 on Machine 3 : 2799 + 364 -> 3163
Job 0 Operation 9 on Machine 8 : 2799 + 253 -> 3052
Job 6 Operation 12 on Machine 1 : 2811 + 45 -> 2856
Job 16 Operation 17 on Machine 12 : 2811 + 151 -> 2962
Job 1 Operation 8 on Machine 11 : 2833 + 19 -> 2852
Job 2 Operation 10 on Machine 15 : 2837 + 355 -> 3192
Job 11 Operation 7 on Machine 16 : 2837 + 273 -> 3110
Job 17 Operation 3 on Machine 11 : 2852 + 370 -> 3222
Job 1 Operation 9 on Machine 19 : 2852 + 38 -> 2890
Job 15 Operation 14 on Machine 1 : 2856 + 7 -> 2863
Job 6 Operation 13 on Machine 9 : 2856 + 81 -> 2937
Job 12 Operation 7 on Machine 1 : 2863 + 229 -> 3092
Job 1 Operation 10 on Machine 17 : 2890 + 281 -> 3171
Job 6 Operation 14 on Machine 5 : 2937 + 93 -> 3030
Job 3 Operation 5 on Machine 19 : 2948 + 204 -> 3152
Job 19 Operation 7 on Machine 12 : 2962 + 165 -> 3127
Job 5 Operation 7 on Machine 5 : 3030 + 344 -> 3374
Job 6 Operation 15 on Machine 10 : 3030 + 201 -> 3231
Job 12 Operation 8 on Machine 18 : 3092 + 29 -> 3121
Job 13 Operation 12 on Machine 8 : 3097 + 262 -> 3359
Job 18 Operation 6 on Machine 14 : 3097 + 332 -> 3429
Job 12 Operation 9 on Machine 7 : 3121 + 29 -> 3150
Job 10 Operation 8 on Machine 2 : 3163 + 75 -> 3238
Job 16 Operation 18 on Machine 3 : 3163 + 330 -> 3493
Job 1 Operation 11 on Machine 12 : 3171 + 218 -> 3389
Job 2 Operation 11 on Machine 6 : 3192 + 31 -> 3223
Job 0 Operation 10 on Machine 11 : 3222 + 112 -> 3334
Job 17 Operation 4 on Machine 15 : 3222 + 102 -> 3324
Job 2 Operation 12 on Machine 18 : 3223 + 365 -> 3588
Job 6 Operation 16 on Machine 17 : 3231 + 263 -> 3494
Job 12 Operation 10 on Machine 2 : 3238 + 237 -> 3475
Job 10 Operation 9 on Machine 9 : 3238 + 207 -> 3445
Job 0 Operation 11 on Machine 4 : 3334 + 218 -> 3552
Job 4 Operation 9 on Machine 11 : 3334 + 289 -> 3623
Job 13 Operation 13 on Machine 13 : 3359 + 231 -> 3590
Job 11 Operation 8 on Machine 5 : 3374 + 9 -> 3383
Job 5 Operation 8 on Machine 15 : 3374 + 200 -> 3574
Job 11 Operation 9 on Machine 19 : 3383 + 167 -> 3550
Job 3 Operation 6 on Machine 12 : 3389 + 293 -> 3682
Job 18 Operation 7 on Machine 8 : 3429 + 316 -> 3745
Job 14 Operation 8 on Machine 14 : 3429 + 309 -> 3738
Job 10 Operation 10 on Machine 7 : 3445 + 129 -> 3574
Job 17 Operation 5 on Machine 9 : 3445 + 194 -> 3639
Job 1 Operation 12 on Machine 3 : 3493 + 299 -> 3792
Job 10 Operation 11 on Machine 6 : 3574 + 241 -> 3815
Job 15 Operation 15 on Machine 15 : 3574 + 152 -> 3726
Job 5 Operation 9 on Machine 19 : 3574 + 216 -> 3790
Job 13 Operation 14 on Machine 4 : 3590 + 168 -> 3758
Job 9 Operation 11 on Machine 9 : 3639 + 381 -> 4020
Job 17 Operation 6 on Machine 10 : 3639 + 69 -> 3708
Job 3 Operation 7 on Machine 1 : 3682 + 295 -> 3977
Job 12 Operation 11 on Machine 12 : 3682 + 170 -> 3852
Job 17 Operation 7 on Machine 7 : 3708 + 167 -> 3875
Job 0 Operation 12 on Machine 10 : 3708 + 214 -> 3922
Job 15 Operation 16 on Machine 5 : 3726 + 321 -> 4047
Job 14 Operation 9 on Machine 13 : 3738 + 160 -> 3898
Job 2 Operation 13 on Machine 14 : 3738 + 254 -> 3992
Job 18 Operation 8 on Machine 2 : 3745 + 275 -> 4020
Job 7 Operation 12 on Machine 8 : 3745 + 334 -> 4079
Job 11 Operation 10 on Machine 4 : 3758 + 246 -> 4004
Job 13 Operation 15 on Machine 17 : 3758 + 172 -> 3930
Job 5 Operation 10 on Machine 3 : 3792 + 217 -> 4009
Job 1 Operation 13 on Machine 16 : 3792 + 282 -> 4074
Job 19 Operation 8 on Machine 6 : 3815 + 244 -> 4059
Job 10 Operation 12 on Machine 18 : 3815 + 204 -> 4019
Job 14 Operation 10 on Machine 0 : 3898 + 372 -> 4270
Job 0 Operation 13 on Machine 15 : 3922 + 132 -> 4054
Job 3 Operation 8 on Machine 17 : 3977 + 149 -> 4126
Job 8 Operation 14 on Machine 14 : 3992 + 359 -> 4351
Job 17 Operation 8 on Machine 4 : 4004 + 271 -> 4275
Job 4 Operation 10 on Machine 3 : 4009 + 35 -> 4044
Job 10 Operation 13 on Machine 12 : 4019 + 325 -> 4344
Job 5 Operation 11 on Machine 18 : 4019 + 364 -> 4383
Job 18 Operation 9 on Machine 1 : 4020 + 240 -> 4260
Job 11 Operation 11 on Machine 3 : 4044 + 232 -> 4276
Job 4 Operation 11 on Machine 9 : 4044 + 39 -> 4083
Job 16 Operation 19 on Machine 5 : 4047 + 315 -> 4362
Job 1 Operation 14 on Machine 15 : 4074 + 261 -> 4335
Job 4 Operation 12 on Machine 6 : 4083 + 89 -> 4172
Job 3 Operation 9 on Machine 13 : 4126 + 174 -> 4300
Job 9 Operation 12 on Machine 17 : 4126 + 229 -> 4355
Job 12 Operation 12 on Machine 6 : 4172 + 153 -> 4325
Job 4 Operation 13 on Machine 8 : 4172 + 378 -> 4550
Job 14 Operation 11 on Machine 9 : 4270 + 263 -> 4533
Job 18 Operation 10 on Machine 4 : 4275 + 197 -> 4472
Job 17 Operation 9 on Machine 16 : 4275 + 8 -> 4283
Job 19 Operation 9 on Machine 3 : 4276 + 363 -> 4639
Job 0 Operation 14 on Machine 16 : 4283 + 362 -> 4645
Job 1 Operation 15 on Machine 2 : 4335 + 166 -> 4501
Job 10 Operation 14 on Machine 0 : 4344 + 223 -> 4567
Job 3 Operation 10 on Machine 14 : 4351 + 380 -> 4731
Job 9 Operation 13 on Machine 12 : 4355 + 88 -> 4443
Job 11 Operation 12 on Machine 17 : 4355 + 372 -> 4727
Job 5 Operation 12 on Machine 7 : 4383 + 47 -> 4430
Job 8 Operation 15 on Machine 18 : 4383 + 49 -> 4432
Job 5 Operation 13 on Machine 1 : 4430 + 309 -> 4739
Job 7 Operation 13 on Machine 18 : 4432 + 239 -> 4671
Job 8 Operation 16 on Machine 19 : 4432 + 251 -> 4683
Job 9 Operation 14 on Machine 10 : 4443 + 14 -> 4457
Job 18 Operation 11 on Machine 7 : 4472 + 237 -> 4709
Job 14 Operation 12 on Machine 15 : 4533 + 213 -> 4746
Job 17 Operation 10 on Machine 8 : 4550 + 201 -> 4751
Job 12 Operation 13 on Machine 0 : 4567 + 295 -> 4862
Job 10 Operation 15 on Machine 13 : 4567 + 256 -> 4823
Job 6 Operation 17 on Machine 3 : 4639 + 174 -> 4813
Job 1 Operation 16 on Machine 18 : 4671 + 282 -> 4953
Job 8 Operation 17 on Machine 11 : 4683 + 256 -> 4939
Job 0 Operation 15 on Machine 7 : 4709 + 377 -> 5086
Job 11 Operation 13 on Machine 9 : 4727 + 70 -> 4797
Job 15 Operation 17 on Machine 17 : 4727 + 94 -> 4821
Job 13 Operation 16 on Machine 1 : 4739 + 257 -> 4996
Job 4 Operation 14 on Machine 15 : 4746 + 295 -> 5041
Job 14 Operation 13 on Machine 16 : 4746 + 287 -> 5033
Job 17 Operation 11 on Machine 2 : 4751 + 3 -> 4754
Job 19 Operation 10 on Machine 9 : 4797 + 100 -> 4897
Job 3 Operation 11 on Machine 3 : 4813 + 196 -> 5009
Job 5 Operation 14 on Machine 17 : 4821 + 296 -> 5117
Job 18 Operation 12 on Machine 13 : 4823 + 254 -> 5077
Job 10 Operation 16 on Machine 14 : 4823 + 338 -> 5161
Job 9 Operation 15 on Machine 0 : 4862 + 98 -> 4960
Job 12 Operation 14 on Machine 8 : 4862 + 197 -> 5059
Job 7 Operation 14 on Machine 1 : 4996 + 10 -> 5006
Job 7 Operation 15 on Machine 19 : 5006 + 313 -> 5319
Job 3 Operation 12 on Machine 2 : 5009 + 54 -> 5063
Job 2 Operation 14 on Machine 3 : 5009 + 269 -> 5278
Job 14 Operation 14 on Machine 4 : 5033 + 289 -> 5322
Job 4 Operation 15 on Machine 1 : 5041 + 330 -> 5371
Job 3 Operation 13 on Machine 0 : 5063 + 181 -> 5244
Job 19 Operation 11 on Machine 2 : 5063 + 48 -> 5111
Job 18 Operation 13 on Machine 5 : 5077 + 283 -> 5360
Job 5 Operation 15 on Machine 13 : 5117 + 4 -> 5121
Job 17 Operation 12 on Machine 17 : 5117 + 260 -> 5377
Job 5 Operation 16 on Machine 10 : 5121 + 20 -> 5141
Job 12 Operation 15 on Machine 13 : 5121 + 385 -> 5506
Job 5 Operation 17 on Machine 6 : 5141 + 119 -> 5260
Job 11 Operation 14 on Machine 14 : 5161 + 177 -> 5338
Job 10 Operation 17 on Machine 16 : 5161 + 221 -> 5382
Job 3 Operation 14 on Machine 9 : 5244 + 205 -> 5449
Job 5 Operation 18 on Machine 8 : 5260 + 304 -> 5564
Job 7 Operation 16 on Machine 6 : 5319 + 274 -> 5593
Job 19 Operation 12 on Machine 4 : 5322 + 140 -> 5462
Job 11 Operation 15 on Machine 18 : 5338 + 14 -> 5352
Job 14 Operation 15 on Machine 18 : 5352 + 259 -> 5611
Job 0 Operation 16 on Machine 5 : 5360 + 2 -> 5362
Job 18 Operation 14 on Machine 12 : 5360 + 101 -> 5461
Job 2 Operation 15 on Machine 5 : 5362 + 191 -> 5553
Job 1 Operation 17 on Machine 1 : 5371 + 242 -> 5613
Job 17 Operation 13 on Machine 0 : 5377 + 123 -> 5500
Job 10 Operation 18 on Machine 17 : 5382 + 342 -> 5724
Job 3 Operation 15 on Machine 16 : 5449 + 338 -> 5787
Job 18 Operation 15 on Machine 3 : 5461 + 229 -> 5690
Job 19 Operation 13 on Machine 19 : 5462 + 228 -> 5690
Job 15 Operation 18 on Machine 0 : 5500 + 86 -> 5586
Job 12 Operation 16 on Machine 9 : 5506 + 202 -> 5708
Job 17 Operation 14 on Machine 13 : 5506 + 80 -> 5586
Job 2 Operation 16 on Machine 8 : 5564 + 267 -> 5831
Job 17 Operation 15 on Machine 5 : 5586 + 5 -> 5591
Job 15 Operation 19 on Machine 12 : 5586 + 129 -> 5715
Job 17 Operation 16 on Machine 6 : 5593 + 42 -> 5635
Job 14 Operation 16 on Machine 5 : 5611 + 111 -> 5722
Job 11 Operation 16 on Machine 1 : 5613 + 39 -> 5652
Job 9 Operation 16 on Machine 6 : 5635 + 74 -> 5709
Job 17 Operation 17 on Machine 18 : 5635 + 176 -> 5811
Job 11 Operation 17 on Machine 10 : 5652 + 294 -> 5946
Job 18 Operation 16 on Machine 0 : 5690 + 202 -> 5892
Job 0 Operation 17 on Machine 3 : 5690 + 386 -> 6076
Job 4 Operation 16 on Machine 19 : 5690 + 98 -> 5788
Job 8 Operation 18 on Machine 5 : 5722 + 44 -> 5766
Job 14 Operation 17 on Machine 7 : 5722 + 134 -> 5856
Job 10 Operation 19 on Machine 4 : 5724 + 251 -> 5975
Job 19 Operation 14 on Machine 5 : 5766 + 195 -> 5961
Job 7 Operation 17 on Machine 16 : 5787 + 17 -> 5804
Job 7 Operation 18 on Machine 9 : 5804 + 198 -> 6002
Job 9 Operation 17 on Machine 16 : 5804 + 180 -> 5984
Job 17 Operation 18 on Machine 1 : 5811 + 189 -> 6000
Job 3 Operation 16 on Machine 18 : 5811 + 3 -> 5814
Job 1 Operation 18 on Machine 8 : 5831 + 239 -> 6070
Job 2 Operation 17 on Machine 11 : 5831 + 37 -> 5868
Job 6 Operation 18 on Machine 7 : 5856 + 241 -> 6097
Job 14 Operation 18 on Machine 19 : 5856 + 172 -> 6028
Job 5 Operation 19 on Machine 0 : 5892 + 362 -> 6254
Job 18 Operation 17 on Machine 17 : 5892 + 225 -> 6117
Job 11 Operation 18 on Machine 11 : 5946 + 135 -> 6081
Job 4 Operation 17 on Machine 5 : 5961 + 293 -> 6254
Job 19 Operation 15 on Machine 18 : 5961 + 275 -> 6236
Job 12 Operation 17 on Machine 4 : 5975 + 35 -> 6010
Job 2 Operation 18 on Machine 4 : 6010 + 187 -> 6197
Job 12 Operation 18 on Machine 14 : 6010 + 51 -> 6061
Job 14 Operation 19 on Machine 6 : 6028 + 83 -> 6111
Job 17 Operation 19 on Machine 19 : 6028 + 262 -> 6290
Job 12 Operation 19 on Machine 10 : 6061 + 274 -> 6335
Job 0 Operation 18 on Machine 1 : 6076 + 152 -> 6228
Job 13 Operation 17 on Machine 3 : 6076 + 67 -> 6143
Job 9 Operation 18 on Machine 11 : 6081 + 20 -> 6101
Job 3 Operation 17 on Machine 7 : 6097 + 206 -> 6303
Job 9 Operation 19 on Machine 13 : 6101 + 186 -> 6287
Job 11 Operation 19 on Machine 6 : 6111 + 161 -> 6272
Job 18 Operation 18 on Machine 16 : 6117 + 142 -> 6259
Job 8 Operation 19 on Machine 3 : 6143 + 318 -> 6461
Job 2 Operation 19 on Machine 9 : 6197 + 338 -> 6535
Job 0 Operation 19 on Machine 12 : 6228 + 36 -> 6264
Job 19 Operation 16 on Machine 15 : 6236 + 16 -> 6252
Job 19 Operation 17 on Machine 11 : 6252 + 184 -> 6436
Job 4 Operation 18 on Machine 0 : 6254 + 144 -> 6398
Job 7 Operation 19 on Machine 5 : 6254 + 327 -> 6581
Job 6 Operation 19 on Machine 6 : 6272 + 254 -> 6526
Job 1 Operation 19 on Machine 13 : 6287 + 233 -> 6520
Job 13 Operation 18 on Machine 19 : 6290 + 202 -> 6492
Job 3 Operation 18 on Machine 15 : 6303 + 252 -> 6555
Job 4 Operation 19 on Machine 18 : 6398 + 148 -> 6546
Job 19 Operation 18 on Machine 10 : 6436 + 10 -> 6446
Job 19 Operation 19 on Machine 16 : 6446 + 111 -> 6557
Job 13 Operation 19 on Machine 2 : 6492 + 94 -> 6586
Job 18 Operation 19 on Machine 19 : 6492 + 9 -> 6501
Job 3 Operation 19 on Machine 11 : 6555 + 7 -> 6562
Makespan: 6586.0, as it is the maximum end completion time of Operation 19 |
9 | 2 | Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 210 mins.
Operation 1 on Machine 1 duration 86 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 353 mins.
Operation 1 on Machine 0 duration 160 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 89 mins.
Operation 1 on Machine 0 duration 352 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 162 mins.
Operation 1 on Machine 0 duration 363 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 152 mins.
Operation 1 on Machine 0 duration 2 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 335 mins.
Operation 1 on Machine 0 duration 55 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 270 mins.
Operation 1 on Machine 0 duration 17 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 336 mins.
Operation 1 on Machine 0 duration 106 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 110 mins.
Operation 1 on Machine 0 duration 296 mins.
| Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 210 mins.
Job 1 Operation 1 duration 160 mins.
Job 2 Operation 1 duration 352 mins.
Job 3 Operation 1 duration 363 mins.
Job 4 Operation 1 duration 2 mins.
Job 5 Operation 1 duration 55 mins.
Job 6 Operation 1 duration 17 mins.
Job 7 Operation 1 duration 106 mins.
Job 8 Operation 1 duration 296 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 353 mins.
Job 2 Operation 0 duration 89 mins.
Job 3 Operation 0 duration 162 mins.
Job 4 Operation 0 duration 152 mins.
Job 5 Operation 0 duration 335 mins.
Job 6 Operation 0 duration 270 mins.
Job 7 Operation 0 duration 336 mins.
Job 8 Operation 0 duration 110 mins.
Job 0 Operation 1 duration 86 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 210 -> 210
Job 2 Operation 0 on Machine 1 : 0 + 89 -> 89
Job 6 Operation 0 on Machine 1 : 89 + 270 -> 359
Job 6 Operation 1 on Machine 0 : 359 + 17 -> 376
Job 7 Operation 0 on Machine 1 : 359 + 336 -> 695
Job 2 Operation 1 on Machine 0 : 376 + 352 -> 728
Job 8 Operation 0 on Machine 1 : 695 + 110 -> 805
Job 7 Operation 1 on Machine 0 : 728 + 106 -> 834
Job 4 Operation 0 on Machine 1 : 805 + 152 -> 957
Job 8 Operation 1 on Machine 0 : 834 + 296 -> 1130
Job 3 Operation 0 on Machine 1 : 957 + 162 -> 1119
Job 1 Operation 0 on Machine 1 : 1119 + 353 -> 1472
Job 3 Operation 1 on Machine 0 : 1130 + 363 -> 1493
Job 5 Operation 0 on Machine 1 : 1472 + 335 -> 1807
Job 4 Operation 1 on Machine 0 : 1493 + 2 -> 1495
Job 1 Operation 1 on Machine 0 : 1495 + 160 -> 1655
Job 5 Operation 1 on Machine 0 : 1807 + 55 -> 1862
Job 0 Operation 1 on Machine 1 : 1807 + 86 -> 1893
Makespan: 1893.0, as it is the maximum end completion time of Operation 1 |
10 | 3 | Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 51 mins.
Operation 1 on Machine 2 duration 11 mins.
Operation 2 on Machine 1 duration 43 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 48 mins.
Operation 1 on Machine 2 duration 24 mins.
Operation 2 on Machine 0 duration 64 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 38 mins.
Operation 1 on Machine 1 duration 29 mins.
Operation 2 on Machine 0 duration 37 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 61 mins.
Operation 1 on Machine 1 duration 9 mins.
Operation 2 on Machine 2 duration 8 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 17 mins.
Operation 1 on Machine 0 duration 33 mins.
Operation 2 on Machine 1 duration 60 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 2 duration 36 mins.
Operation 2 on Machine 1 duration 51 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 36 mins.
Operation 1 on Machine 1 duration 51 mins.
Operation 2 on Machine 0 duration 50 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 8 mins.
Operation 1 on Machine 0 duration 21 mins.
Operation 2 on Machine 2 duration 40 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 33 mins.
Operation 1 on Machine 1 duration 2 mins.
Operation 2 on Machine 2 duration 58 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 53 mins.
Operation 1 on Machine 1 duration 70 mins.
Operation 2 on Machine 2 duration 54 mins.
| Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 51 mins.
Job 3 Operation 0 duration 61 mins.
Job 5 Operation 0 duration 4 mins.
Job 8 Operation 0 duration 33 mins.
Job 9 Operation 0 duration 53 mins.
Job 4 Operation 1 duration 33 mins.
Job 7 Operation 1 duration 21 mins.
Job 1 Operation 2 duration 64 mins.
Job 2 Operation 2 duration 37 mins.
Job 6 Operation 2 duration 50 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 48 mins.
Job 7 Operation 0 duration 8 mins.
Job 2 Operation 1 duration 29 mins.
Job 3 Operation 1 duration 9 mins.
Job 6 Operation 1 duration 51 mins.
Job 8 Operation 1 duration 2 mins.
Job 9 Operation 1 duration 70 mins.
Job 0 Operation 2 duration 43 mins.
Job 4 Operation 2 duration 60 mins.
Job 5 Operation 2 duration 51 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 38 mins.
Job 4 Operation 0 duration 17 mins.
Job 6 Operation 0 duration 36 mins.
Job 0 Operation 1 duration 11 mins.
Job 1 Operation 1 duration 24 mins.
Job 5 Operation 1 duration 36 mins.
Job 3 Operation 2 duration 8 mins.
Job 7 Operation 2 duration 40 mins.
Job 8 Operation 2 duration 58 mins.
Job 9 Operation 2 duration 54 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 61 -> 61
Job 1 Operation 0 on Machine 1 : 0 + 48 -> 48
Job 6 Operation 0 on Machine 2 : 0 + 36 -> 36
Job 4 Operation 0 on Machine 2 : 36 + 17 -> 53
Job 6 Operation 1 on Machine 1 : 48 + 51 -> 99
Job 2 Operation 0 on Machine 2 : 53 + 38 -> 91
Job 0 Operation 0 on Machine 0 : 61 + 51 -> 112
Job 1 Operation 1 on Machine 2 : 91 + 24 -> 115
Job 2 Operation 1 on Machine 1 : 99 + 29 -> 128
Job 5 Operation 0 on Machine 0 : 112 + 4 -> 116
Job 8 Operation 0 on Machine 0 : 116 + 33 -> 149
Job 5 Operation 1 on Machine 2 : 116 + 36 -> 152
Job 7 Operation 0 on Machine 1 : 128 + 8 -> 136
Job 3 Operation 1 on Machine 1 : 136 + 9 -> 145
Job 1 Operation 2 on Machine 0 : 149 + 64 -> 213
Job 8 Operation 1 on Machine 1 : 149 + 2 -> 151
Job 5 Operation 2 on Machine 1 : 152 + 51 -> 203
Job 8 Operation 2 on Machine 2 : 152 + 58 -> 210
Job 3 Operation 2 on Machine 2 : 210 + 8 -> 218
Job 9 Operation 0 on Machine 0 : 213 + 53 -> 266
Job 0 Operation 1 on Machine 2 : 218 + 11 -> 229
Job 0 Operation 2 on Machine 1 : 229 + 43 -> 272
Job 7 Operation 1 on Machine 0 : 266 + 21 -> 287
Job 9 Operation 1 on Machine 1 : 272 + 70 -> 342
Job 4 Operation 1 on Machine 0 : 287 + 33 -> 320
Job 7 Operation 2 on Machine 2 : 287 + 40 -> 327
Job 6 Operation 2 on Machine 0 : 320 + 50 -> 370
Job 4 Operation 2 on Machine 1 : 342 + 60 -> 402
Job 9 Operation 2 on Machine 2 : 342 + 54 -> 396
Job 2 Operation 2 on Machine 0 : 370 + 37 -> 407
Makespan: 407.0, as it is the maximum end completion time of Operation 2 |
6 | 3 | Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 172 mins.
Operation 1 on Machine 0 duration 199 mins.
Operation 2 on Machine 2 duration 97 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 359 mins.
Operation 1 on Machine 1 duration 196 mins.
Operation 2 on Machine 0 duration 321 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 285 mins.
Operation 1 on Machine 1 duration 173 mins.
Operation 2 on Machine 0 duration 206 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 301 mins.
Operation 1 on Machine 0 duration 328 mins.
Operation 2 on Machine 2 duration 59 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 30 mins.
Operation 1 on Machine 1 duration 64 mins.
Operation 2 on Machine 0 duration 379 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 371 mins.
Operation 1 on Machine 1 duration 134 mins.
Operation 2 on Machine 0 duration 211 mins.
| Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 199 mins.
Job 3 Operation 1 duration 328 mins.
Job 1 Operation 2 duration 321 mins.
Job 2 Operation 2 duration 206 mins.
Job 4 Operation 2 duration 379 mins.
Job 5 Operation 2 duration 211 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 172 mins.
Job 3 Operation 0 duration 301 mins.
Job 1 Operation 1 duration 196 mins.
Job 2 Operation 1 duration 173 mins.
Job 4 Operation 1 duration 64 mins.
Job 5 Operation 1 duration 134 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 359 mins.
Job 2 Operation 0 duration 285 mins.
Job 4 Operation 0 duration 30 mins.
Job 5 Operation 0 duration 371 mins.
Job 0 Operation 2 duration 97 mins.
Job 3 Operation 2 duration 59 mins.
| Solution:
Job 4 Operation 0 on Machine 2 : 0 + 30 -> 30
Job 4 Operation 1 on Machine 1 : 30 + 64 -> 94
Job 5 Operation 0 on Machine 2 : 30 + 371 -> 401
Job 4 Operation 2 on Machine 0 : 94 + 379 -> 473
Job 0 Operation 0 on Machine 1 : 94 + 172 -> 266
Job 5 Operation 1 on Machine 1 : 401 + 134 -> 535
Job 2 Operation 0 on Machine 2 : 401 + 285 -> 686
Job 0 Operation 1 on Machine 0 : 473 + 199 -> 672
Job 3 Operation 0 on Machine 1 : 535 + 301 -> 836
Job 5 Operation 2 on Machine 0 : 672 + 211 -> 883
Job 0 Operation 2 on Machine 2 : 686 + 97 -> 783
Job 1 Operation 0 on Machine 2 : 783 + 359 -> 1142
Job 2 Operation 1 on Machine 1 : 836 + 173 -> 1009
Job 3 Operation 1 on Machine 0 : 883 + 328 -> 1211
Job 1 Operation 1 on Machine 1 : 1142 + 196 -> 1338
Job 2 Operation 2 on Machine 0 : 1211 + 206 -> 1417
Job 3 Operation 2 on Machine 2 : 1211 + 59 -> 1270
Job 1 Operation 2 on Machine 0 : 1417 + 321 -> 1738
Makespan: 1738.0, as it is the maximum end completion time of Operation 2 |
7 | 5 | Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 249 mins.
Operation 1 on Machine 1 duration 66 mins.
Operation 2 on Machine 3 duration 344 mins.
Operation 3 on Machine 4 duration 317 mins.
Operation 4 on Machine 2 duration 298 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 373 mins.
Operation 1 on Machine 1 duration 212 mins.
Operation 2 on Machine 3 duration 240 mins.
Operation 3 on Machine 4 duration 71 mins.
Operation 4 on Machine 2 duration 223 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 154 mins.
Operation 1 on Machine 3 duration 61 mins.
Operation 2 on Machine 4 duration 250 mins.
Operation 3 on Machine 2 duration 334 mins.
Operation 4 on Machine 0 duration 151 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 55 mins.
Operation 1 on Machine 2 duration 367 mins.
Operation 2 on Machine 0 duration 26 mins.
Operation 3 on Machine 1 duration 409 mins.
Operation 4 on Machine 3 duration 14 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 277 mins.
Operation 1 on Machine 0 duration 177 mins.
Operation 2 on Machine 4 duration 419 mins.
Operation 3 on Machine 1 duration 192 mins.
Operation 4 on Machine 3 duration 41 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 203 mins.
Operation 1 on Machine 1 duration 163 mins.
Operation 2 on Machine 2 duration 111 mins.
Operation 3 on Machine 4 duration 1 mins.
Operation 4 on Machine 0 duration 252 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 224 mins.
Operation 1 on Machine 3 duration 35 mins.
Operation 2 on Machine 1 duration 150 mins.
Operation 3 on Machine 0 duration 19 mins.
Operation 4 on Machine 4 duration 52 mins.
| Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 249 mins.
Job 1 Operation 0 duration 373 mins.
Job 4 Operation 1 duration 177 mins.
Job 3 Operation 2 duration 26 mins.
Job 6 Operation 3 duration 19 mins.
Job 2 Operation 4 duration 151 mins.
Job 5 Operation 4 duration 252 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 154 mins.
Job 0 Operation 1 duration 66 mins.
Job 1 Operation 1 duration 212 mins.
Job 5 Operation 1 duration 163 mins.
Job 6 Operation 2 duration 150 mins.
Job 3 Operation 3 duration 409 mins.
Job 4 Operation 3 duration 192 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 277 mins.
Job 6 Operation 0 duration 224 mins.
Job 3 Operation 1 duration 367 mins.
Job 5 Operation 2 duration 111 mins.
Job 2 Operation 3 duration 334 mins.
Job 0 Operation 4 duration 298 mins.
Job 1 Operation 4 duration 223 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 203 mins.
Job 2 Operation 1 duration 61 mins.
Job 6 Operation 1 duration 35 mins.
Job 0 Operation 2 duration 344 mins.
Job 1 Operation 2 duration 240 mins.
Job 3 Operation 4 duration 14 mins.
Job 4 Operation 4 duration 41 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 55 mins.
Job 2 Operation 2 duration 250 mins.
Job 4 Operation 2 duration 419 mins.
Job 0 Operation 3 duration 317 mins.
Job 1 Operation 3 duration 71 mins.
Job 5 Operation 3 duration 1 mins.
Job 6 Operation 4 duration 52 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 373 -> 373
Job 2 Operation 0 on Machine 1 : 0 + 154 -> 154
Job 4 Operation 0 on Machine 2 : 0 + 277 -> 277
Job 3 Operation 0 on Machine 4 : 0 + 55 -> 55
Job 2 Operation 1 on Machine 3 : 154 + 61 -> 215
Job 5 Operation 0 on Machine 3 : 215 + 203 -> 418
Job 2 Operation 2 on Machine 4 : 215 + 250 -> 465
Job 6 Operation 0 on Machine 2 : 277 + 224 -> 501
Job 4 Operation 1 on Machine 0 : 373 + 177 -> 550
Job 1 Operation 1 on Machine 1 : 373 + 212 -> 585
Job 2 Operation 3 on Machine 2 : 501 + 334 -> 835
Job 6 Operation 1 on Machine 3 : 501 + 35 -> 536
Job 0 Operation 0 on Machine 0 : 550 + 249 -> 799
Job 4 Operation 2 on Machine 4 : 550 + 419 -> 969
Job 6 Operation 2 on Machine 1 : 585 + 150 -> 735
Job 1 Operation 2 on Machine 3 : 585 + 240 -> 825
Job 6 Operation 3 on Machine 0 : 799 + 19 -> 818
Job 0 Operation 1 on Machine 1 : 799 + 66 -> 865
Job 2 Operation 4 on Machine 0 : 835 + 151 -> 986
Job 3 Operation 1 on Machine 2 : 835 + 367 -> 1202
Job 0 Operation 2 on Machine 3 : 865 + 344 -> 1209
Job 4 Operation 3 on Machine 1 : 969 + 192 -> 1161
Job 1 Operation 3 on Machine 4 : 969 + 71 -> 1040
Job 6 Operation 4 on Machine 4 : 1040 + 52 -> 1092
Job 5 Operation 1 on Machine 1 : 1161 + 163 -> 1324
Job 3 Operation 2 on Machine 0 : 1202 + 26 -> 1228
Job 1 Operation 4 on Machine 2 : 1202 + 223 -> 1425
Job 4 Operation 4 on Machine 3 : 1209 + 41 -> 1250
Job 0 Operation 3 on Machine 4 : 1209 + 317 -> 1526
Job 3 Operation 3 on Machine 1 : 1324 + 409 -> 1733
Job 5 Operation 2 on Machine 2 : 1425 + 111 -> 1536
Job 0 Operation 4 on Machine 2 : 1536 + 298 -> 1834
Job 5 Operation 3 on Machine 4 : 1536 + 1 -> 1537
Job 5 Operation 4 on Machine 0 : 1537 + 252 -> 1789
Job 3 Operation 4 on Machine 3 : 1733 + 14 -> 1747
Makespan: 1834.0, as it is the maximum end completion time of Operation 4 |
3 | 3 | Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 336 mins.
Operation 1 on Machine 2 duration 181 mins.
Operation 2 on Machine 0 duration 143 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 146 mins.
Operation 1 on Machine 1 duration 174 mins.
Operation 2 on Machine 2 duration 212 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 123 mins.
Operation 1 on Machine 2 duration 165 mins.
Operation 2 on Machine 1 duration 187 mins.
| Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 146 mins.
Job 2 Operation 0 duration 123 mins.
Job 0 Operation 2 duration 143 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 336 mins.
Job 1 Operation 1 duration 174 mins.
Job 2 Operation 2 duration 187 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 181 mins.
Job 2 Operation 1 duration 165 mins.
Job 1 Operation 2 duration 212 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 123 -> 123
Job 0 Operation 0 on Machine 1 : 0 + 336 -> 336
Job 1 Operation 0 on Machine 0 : 123 + 146 -> 269
Job 2 Operation 1 on Machine 2 : 123 + 165 -> 288
Job 1 Operation 1 on Machine 1 : 336 + 174 -> 510
Job 0 Operation 1 on Machine 2 : 336 + 181 -> 517
Job 2 Operation 2 on Machine 1 : 510 + 187 -> 697
Job 0 Operation 2 on Machine 0 : 517 + 143 -> 660
Job 1 Operation 2 on Machine 2 : 517 + 212 -> 729
Makespan: 729.0, as it is the maximum end completion time of Operation 2 |
5 | 5 | Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 102 mins.
Operation 1 on Machine 3 duration 345 mins.
Operation 2 on Machine 1 duration 292 mins.
Operation 3 on Machine 2 duration 276 mins.
Operation 4 on Machine 4 duration 96 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 50 mins.
Operation 1 on Machine 2 duration 27 mins.
Operation 2 on Machine 0 duration 215 mins.
Operation 3 on Machine 1 duration 344 mins.
Operation 4 on Machine 4 duration 210 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 232 mins.
Operation 1 on Machine 0 duration 153 mins.
Operation 2 on Machine 4 duration 344 mins.
Operation 3 on Machine 3 duration 146 mins.
Operation 4 on Machine 2 duration 18 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 256 mins.
Operation 1 on Machine 2 duration 222 mins.
Operation 2 on Machine 1 duration 142 mins.
Operation 3 on Machine 4 duration 58 mins.
Operation 4 on Machine 0 duration 306 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 243 mins.
Operation 1 on Machine 2 duration 100 mins.
Operation 2 on Machine 4 duration 236 mins.
Operation 3 on Machine 1 duration 132 mins.
Operation 4 on Machine 0 duration 209 mins.
| Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 102 mins.
Job 2 Operation 1 duration 153 mins.
Job 1 Operation 2 duration 215 mins.
Job 3 Operation 4 duration 306 mins.
Job 4 Operation 4 duration 209 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 232 mins.
Job 0 Operation 2 duration 292 mins.
Job 3 Operation 2 duration 142 mins.
Job 1 Operation 3 duration 344 mins.
Job 4 Operation 3 duration 132 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 27 mins.
Job 3 Operation 1 duration 222 mins.
Job 4 Operation 1 duration 100 mins.
Job 0 Operation 3 duration 276 mins.
Job 2 Operation 4 duration 18 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 50 mins.
Job 3 Operation 0 duration 256 mins.
Job 4 Operation 0 duration 243 mins.
Job 0 Operation 1 duration 345 mins.
Job 2 Operation 3 duration 146 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 2 duration 344 mins.
Job 4 Operation 2 duration 236 mins.
Job 3 Operation 3 duration 58 mins.
Job 0 Operation 4 duration 96 mins.
Job 1 Operation 4 duration 210 mins.
| Solution:
Job 2 Operation 0 on Machine 1 : 0 + 232 -> 232
Job 1 Operation 0 on Machine 3 : 0 + 50 -> 50
Job 1 Operation 1 on Machine 2 : 50 + 27 -> 77
Job 3 Operation 0 on Machine 3 : 50 + 256 -> 306
Job 1 Operation 2 on Machine 0 : 77 + 215 -> 292
Job 2 Operation 1 on Machine 0 : 292 + 153 -> 445
Job 1 Operation 3 on Machine 1 : 292 + 344 -> 636
Job 3 Operation 1 on Machine 2 : 306 + 222 -> 528
Job 4 Operation 0 on Machine 3 : 306 + 243 -> 549
Job 0 Operation 0 on Machine 0 : 445 + 102 -> 547
Job 2 Operation 2 on Machine 4 : 445 + 344 -> 789
Job 4 Operation 1 on Machine 2 : 549 + 100 -> 649
Job 0 Operation 1 on Machine 3 : 549 + 345 -> 894
Job 3 Operation 2 on Machine 1 : 636 + 142 -> 778
Job 3 Operation 3 on Machine 4 : 789 + 58 -> 847
Job 3 Operation 4 on Machine 0 : 847 + 306 -> 1153
Job 4 Operation 2 on Machine 4 : 847 + 236 -> 1083
Job 0 Operation 2 on Machine 1 : 894 + 292 -> 1186
Job 2 Operation 3 on Machine 3 : 894 + 146 -> 1040
Job 2 Operation 4 on Machine 2 : 1040 + 18 -> 1058
Job 1 Operation 4 on Machine 4 : 1083 + 210 -> 1293
Job 4 Operation 3 on Machine 1 : 1186 + 132 -> 1318
Job 0 Operation 3 on Machine 2 : 1186 + 276 -> 1462
Job 4 Operation 4 on Machine 0 : 1318 + 209 -> 1527
Job 0 Operation 4 on Machine 4 : 1462 + 96 -> 1558
Makespan: 1558.0, as it is the maximum end completion time of Operation 4 |
10 | 3 | Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 231 mins.
Operation 1 on Machine 1 duration 259 mins.
Operation 2 on Machine 0 duration 289 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 93 mins.
Operation 1 on Machine 0 duration 84 mins.
Operation 2 on Machine 2 duration 298 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 90 mins.
Operation 1 on Machine 1 duration 284 mins.
Operation 2 on Machine 0 duration 285 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 60 mins.
Operation 1 on Machine 1 duration 40 mins.
Operation 2 on Machine 0 duration 123 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 252 mins.
Operation 1 on Machine 2 duration 121 mins.
Operation 2 on Machine 0 duration 147 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 46 mins.
Operation 1 on Machine 1 duration 131 mins.
Operation 2 on Machine 2 duration 25 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 92 mins.
Operation 1 on Machine 1 duration 19 mins.
Operation 2 on Machine 2 duration 164 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 182 mins.
Operation 1 on Machine 1 duration 309 mins.
Operation 2 on Machine 0 duration 79 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 114 mins.
Operation 1 on Machine 1 duration 94 mins.
Operation 2 on Machine 2 duration 36 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 256 mins.
Operation 1 on Machine 2 duration 220 mins.
Operation 2 on Machine 1 duration 171 mins.
| Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 46 mins.
Job 6 Operation 0 duration 92 mins.
Job 8 Operation 0 duration 114 mins.
Job 9 Operation 0 duration 256 mins.
Job 1 Operation 1 duration 84 mins.
Job 0 Operation 2 duration 289 mins.
Job 2 Operation 2 duration 285 mins.
Job 3 Operation 2 duration 123 mins.
Job 4 Operation 2 duration 147 mins.
Job 7 Operation 2 duration 79 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 93 mins.
Job 4 Operation 0 duration 252 mins.
Job 0 Operation 1 duration 259 mins.
Job 2 Operation 1 duration 284 mins.
Job 3 Operation 1 duration 40 mins.
Job 5 Operation 1 duration 131 mins.
Job 6 Operation 1 duration 19 mins.
Job 7 Operation 1 duration 309 mins.
Job 8 Operation 1 duration 94 mins.
Job 9 Operation 2 duration 171 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 231 mins.
Job 2 Operation 0 duration 90 mins.
Job 3 Operation 0 duration 60 mins.
Job 7 Operation 0 duration 182 mins.
Job 4 Operation 1 duration 121 mins.
Job 9 Operation 1 duration 220 mins.
Job 1 Operation 2 duration 298 mins.
Job 5 Operation 2 duration 25 mins.
Job 6 Operation 2 duration 164 mins.
Job 8 Operation 2 duration 36 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 46 -> 46
Job 1 Operation 0 on Machine 1 : 0 + 93 -> 93
Job 2 Operation 0 on Machine 2 : 0 + 90 -> 90
Job 6 Operation 0 on Machine 0 : 46 + 92 -> 138
Job 3 Operation 0 on Machine 2 : 90 + 60 -> 150
Job 2 Operation 1 on Machine 1 : 93 + 284 -> 377
Job 9 Operation 0 on Machine 0 : 138 + 256 -> 394
Job 0 Operation 0 on Machine 2 : 150 + 231 -> 381
Job 6 Operation 1 on Machine 1 : 377 + 19 -> 396
Job 2 Operation 2 on Machine 0 : 394 + 285 -> 679
Job 3 Operation 1 on Machine 1 : 396 + 40 -> 436
Job 6 Operation 2 on Machine 2 : 396 + 164 -> 560
Job 4 Operation 0 on Machine 1 : 436 + 252 -> 688
Job 1 Operation 1 on Machine 0 : 679 + 84 -> 763
Job 0 Operation 1 on Machine 1 : 688 + 259 -> 947
Job 4 Operation 1 on Machine 2 : 688 + 121 -> 809
Job 4 Operation 2 on Machine 0 : 809 + 147 -> 956
Job 7 Operation 0 on Machine 2 : 809 + 182 -> 991
Job 5 Operation 1 on Machine 1 : 947 + 131 -> 1078
Job 8 Operation 0 on Machine 0 : 956 + 114 -> 1070
Job 9 Operation 1 on Machine 2 : 991 + 220 -> 1211
Job 0 Operation 2 on Machine 0 : 1070 + 289 -> 1359
Job 7 Operation 1 on Machine 1 : 1078 + 309 -> 1387
Job 5 Operation 2 on Machine 2 : 1211 + 25 -> 1236
Job 1 Operation 2 on Machine 2 : 1236 + 298 -> 1534
Job 7 Operation 2 on Machine 0 : 1387 + 79 -> 1466
Job 8 Operation 1 on Machine 1 : 1387 + 94 -> 1481
Job 3 Operation 2 on Machine 0 : 1466 + 123 -> 1589
Job 9 Operation 2 on Machine 1 : 1481 + 171 -> 1652
Job 8 Operation 2 on Machine 2 : 1534 + 36 -> 1570
Makespan: 1652.0, as it is the maximum end completion time of Operation 2 |
10 | 8 | Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 369 mins.
Operation 1 on Machine 6 duration 287 mins.
Operation 2 on Machine 5 duration 55 mins.
Operation 3 on Machine 2 duration 48 mins.
Operation 4 on Machine 7 duration 9 mins.
Operation 5 on Machine 4 duration 262 mins.
Operation 6 on Machine 3 duration 225 mins.
Operation 7 on Machine 1 duration 269 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 298 mins.
Operation 1 on Machine 5 duration 12 mins.
Operation 2 on Machine 3 duration 1 mins.
Operation 3 on Machine 2 duration 290 mins.
Operation 4 on Machine 1 duration 159 mins.
Operation 5 on Machine 0 duration 185 mins.
Operation 6 on Machine 6 duration 252 mins.
Operation 7 on Machine 7 duration 263 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 110 mins.
Operation 1 on Machine 3 duration 35 mins.
Operation 2 on Machine 5 duration 19 mins.
Operation 3 on Machine 1 duration 436 mins.
Operation 4 on Machine 0 duration 435 mins.
Operation 5 on Machine 6 duration 241 mins.
Operation 6 on Machine 4 duration 423 mins.
Operation 7 on Machine 7 duration 91 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 7 duration 430 mins.
Operation 1 on Machine 5 duration 105 mins.
Operation 2 on Machine 1 duration 88 mins.
Operation 3 on Machine 4 duration 315 mins.
Operation 4 on Machine 0 duration 6 mins.
Operation 5 on Machine 3 duration 14 mins.
Operation 6 on Machine 2 duration 352 mins.
Operation 7 on Machine 6 duration 354 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 401 mins.
Operation 1 on Machine 6 duration 424 mins.
Operation 2 on Machine 3 duration 120 mins.
Operation 3 on Machine 0 duration 225 mins.
Operation 4 on Machine 1 duration 391 mins.
Operation 5 on Machine 7 duration 402 mins.
Operation 6 on Machine 5 duration 204 mins.
Operation 7 on Machine 2 duration 236 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 102 mins.
Operation 1 on Machine 2 duration 246 mins.
Operation 2 on Machine 5 duration 440 mins.
Operation 3 on Machine 7 duration 349 mins.
Operation 4 on Machine 1 duration 117 mins.
Operation 5 on Machine 6 duration 155 mins.
Operation 6 on Machine 4 duration 254 mins.
Operation 7 on Machine 3 duration 273 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 312 mins.
Operation 1 on Machine 6 duration 260 mins.
Operation 2 on Machine 3 duration 68 mins.
Operation 3 on Machine 4 duration 34 mins.
Operation 4 on Machine 7 duration 336 mins.
Operation 5 on Machine 2 duration 241 mins.
Operation 6 on Machine 0 duration 320 mins.
Operation 7 on Machine 5 duration 5 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 259 mins.
Operation 1 on Machine 2 duration 418 mins.
Operation 2 on Machine 3 duration 264 mins.
Operation 3 on Machine 4 duration 255 mins.
Operation 4 on Machine 5 duration 313 mins.
Operation 5 on Machine 7 duration 458 mins.
Operation 6 on Machine 0 duration 40 mins.
Operation 7 on Machine 6 duration 24 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 330 mins.
Operation 1 on Machine 0 duration 293 mins.
Operation 2 on Machine 1 duration 454 mins.
Operation 3 on Machine 6 duration 452 mins.
Operation 4 on Machine 5 duration 459 mins.
Operation 5 on Machine 4 duration 143 mins.
Operation 6 on Machine 7 duration 153 mins.
Operation 7 on Machine 3 duration 137 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 268 mins.
Operation 1 on Machine 7 duration 268 mins.
Operation 2 on Machine 2 duration 344 mins.
Operation 3 on Machine 6 duration 432 mins.
Operation 4 on Machine 1 duration 287 mins.
Operation 5 on Machine 5 duration 380 mins.
Operation 6 on Machine 0 duration 96 mins.
Operation 7 on Machine 3 duration 297 mins.
| Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 369 mins.
Job 5 Operation 0 duration 102 mins.
Job 8 Operation 1 duration 293 mins.
Job 4 Operation 3 duration 225 mins.
Job 2 Operation 4 duration 435 mins.
Job 3 Operation 4 duration 6 mins.
Job 1 Operation 5 duration 185 mins.
Job 6 Operation 6 duration 320 mins.
Job 7 Operation 6 duration 40 mins.
Job 9 Operation 6 duration 96 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 312 mins.
Job 7 Operation 0 duration 259 mins.
Job 3 Operation 2 duration 88 mins.
Job 8 Operation 2 duration 454 mins.
Job 2 Operation 3 duration 436 mins.
Job 1 Operation 4 duration 159 mins.
Job 4 Operation 4 duration 391 mins.
Job 5 Operation 4 duration 117 mins.
Job 9 Operation 4 duration 287 mins.
Job 0 Operation 7 duration 269 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 110 mins.
Job 8 Operation 0 duration 330 mins.
Job 5 Operation 1 duration 246 mins.
Job 7 Operation 1 duration 418 mins.
Job 9 Operation 2 duration 344 mins.
Job 0 Operation 3 duration 48 mins.
Job 1 Operation 3 duration 290 mins.
Job 6 Operation 5 duration 241 mins.
Job 3 Operation 6 duration 352 mins.
Job 4 Operation 7 duration 236 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 35 mins.
Job 1 Operation 2 duration 1 mins.
Job 4 Operation 2 duration 120 mins.
Job 6 Operation 2 duration 68 mins.
Job 7 Operation 2 duration 264 mins.
Job 3 Operation 5 duration 14 mins.
Job 0 Operation 6 duration 225 mins.
Job 5 Operation 7 duration 273 mins.
Job 8 Operation 7 duration 137 mins.
Job 9 Operation 7 duration 297 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 298 mins.
Job 4 Operation 0 duration 401 mins.
Job 9 Operation 0 duration 268 mins.
Job 3 Operation 3 duration 315 mins.
Job 6 Operation 3 duration 34 mins.
Job 7 Operation 3 duration 255 mins.
Job 0 Operation 5 duration 262 mins.
Job 8 Operation 5 duration 143 mins.
Job 2 Operation 6 duration 423 mins.
Job 5 Operation 6 duration 254 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 1 duration 12 mins.
Job 3 Operation 1 duration 105 mins.
Job 0 Operation 2 duration 55 mins.
Job 2 Operation 2 duration 19 mins.
Job 5 Operation 2 duration 440 mins.
Job 7 Operation 4 duration 313 mins.
Job 8 Operation 4 duration 459 mins.
Job 9 Operation 5 duration 380 mins.
Job 4 Operation 6 duration 204 mins.
Job 6 Operation 7 duration 5 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 1 duration 287 mins.
Job 4 Operation 1 duration 424 mins.
Job 6 Operation 1 duration 260 mins.
Job 8 Operation 3 duration 452 mins.
Job 9 Operation 3 duration 432 mins.
Job 2 Operation 5 duration 241 mins.
Job 5 Operation 5 duration 155 mins.
Job 1 Operation 6 duration 252 mins.
Job 3 Operation 7 duration 354 mins.
Job 7 Operation 7 duration 24 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 0 duration 430 mins.
Job 9 Operation 1 duration 268 mins.
Job 5 Operation 3 duration 349 mins.
Job 0 Operation 4 duration 9 mins.
Job 6 Operation 4 duration 336 mins.
Job 4 Operation 5 duration 402 mins.
Job 7 Operation 5 duration 458 mins.
Job 8 Operation 6 duration 153 mins.
Job 1 Operation 7 duration 263 mins.
Job 2 Operation 7 duration 91 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 102 -> 102
Job 6 Operation 0 on Machine 1 : 0 + 312 -> 312
Job 8 Operation 0 on Machine 2 : 0 + 330 -> 330
Job 4 Operation 0 on Machine 4 : 0 + 401 -> 401
Job 3 Operation 0 on Machine 7 : 0 + 430 -> 430
Job 7 Operation 0 on Machine 1 : 312 + 259 -> 571
Job 6 Operation 1 on Machine 6 : 312 + 260 -> 572
Job 8 Operation 1 on Machine 0 : 330 + 293 -> 623
Job 5 Operation 1 on Machine 2 : 330 + 246 -> 576
Job 9 Operation 0 on Machine 4 : 401 + 268 -> 669
Job 3 Operation 1 on Machine 5 : 430 + 105 -> 535
Job 3 Operation 2 on Machine 1 : 571 + 88 -> 659
Job 4 Operation 1 on Machine 6 : 572 + 424 -> 996
Job 2 Operation 0 on Machine 2 : 576 + 110 -> 686
Job 5 Operation 2 on Machine 5 : 576 + 440 -> 1016
Job 0 Operation 0 on Machine 0 : 623 + 369 -> 992
Job 8 Operation 2 on Machine 1 : 659 + 454 -> 1113
Job 1 Operation 0 on Machine 4 : 669 + 298 -> 967
Job 9 Operation 1 on Machine 7 : 669 + 268 -> 937
Job 7 Operation 1 on Machine 2 : 686 + 418 -> 1104
Job 2 Operation 1 on Machine 3 : 686 + 35 -> 721
Job 6 Operation 2 on Machine 3 : 721 + 68 -> 789
Job 6 Operation 3 on Machine 4 : 967 + 34 -> 1001
Job 4 Operation 2 on Machine 3 : 996 + 120 -> 1116
Job 0 Operation 1 on Machine 6 : 996 + 287 -> 1283
Job 1 Operation 1 on Machine 5 : 1016 + 12 -> 1028
Job 5 Operation 3 on Machine 7 : 1016 + 349 -> 1365
Job 2 Operation 2 on Machine 5 : 1028 + 19 -> 1047
Job 2 Operation 3 on Machine 1 : 1113 + 436 -> 1549
Job 4 Operation 3 on Machine 0 : 1116 + 225 -> 1341
Job 1 Operation 2 on Machine 3 : 1116 + 1 -> 1117
Job 1 Operation 3 on Machine 2 : 1117 + 290 -> 1407
Job 7 Operation 2 on Machine 3 : 1117 + 264 -> 1381
Job 0 Operation 2 on Machine 5 : 1283 + 55 -> 1338
Job 8 Operation 3 on Machine 6 : 1283 + 452 -> 1735
Job 6 Operation 4 on Machine 7 : 1365 + 336 -> 1701
Job 7 Operation 3 on Machine 4 : 1381 + 255 -> 1636
Job 9 Operation 2 on Machine 2 : 1407 + 344 -> 1751
Job 4 Operation 4 on Machine 1 : 1549 + 391 -> 1940
Job 3 Operation 3 on Machine 4 : 1636 + 315 -> 1951
Job 8 Operation 4 on Machine 5 : 1735 + 459 -> 2194
Job 0 Operation 3 on Machine 2 : 1751 + 48 -> 1799
Job 9 Operation 3 on Machine 6 : 1751 + 432 -> 2183
Job 6 Operation 5 on Machine 2 : 1799 + 241 -> 2040
Job 0 Operation 4 on Machine 7 : 1799 + 9 -> 1808
Job 1 Operation 4 on Machine 1 : 1940 + 159 -> 2099
Job 4 Operation 5 on Machine 7 : 1940 + 402 -> 2342
Job 3 Operation 4 on Machine 0 : 1951 + 6 -> 1957
Job 0 Operation 5 on Machine 4 : 1951 + 262 -> 2213
Job 2 Operation 4 on Machine 0 : 1957 + 435 -> 2392
Job 3 Operation 5 on Machine 3 : 1957 + 14 -> 1971
Job 3 Operation 6 on Machine 2 : 2040 + 352 -> 2392
Job 5 Operation 4 on Machine 1 : 2099 + 117 -> 2216
Job 7 Operation 4 on Machine 5 : 2194 + 313 -> 2507
Job 0 Operation 6 on Machine 3 : 2213 + 225 -> 2438
Job 8 Operation 5 on Machine 4 : 2213 + 143 -> 2356
Job 9 Operation 4 on Machine 1 : 2216 + 287 -> 2503
Job 5 Operation 5 on Machine 6 : 2216 + 155 -> 2371
Job 8 Operation 6 on Machine 7 : 2356 + 153 -> 2509
Job 5 Operation 6 on Machine 4 : 2371 + 254 -> 2625
Job 1 Operation 5 on Machine 0 : 2392 + 185 -> 2577
Job 2 Operation 5 on Machine 6 : 2392 + 241 -> 2633
Job 0 Operation 7 on Machine 1 : 2503 + 269 -> 2772
Job 9 Operation 5 on Machine 5 : 2507 + 380 -> 2887
Job 8 Operation 7 on Machine 3 : 2509 + 137 -> 2646
Job 7 Operation 5 on Machine 7 : 2509 + 458 -> 2967
Job 6 Operation 6 on Machine 0 : 2577 + 320 -> 2897
Job 2 Operation 6 on Machine 4 : 2633 + 423 -> 3056
Job 1 Operation 6 on Machine 6 : 2633 + 252 -> 2885
Job 5 Operation 7 on Machine 3 : 2646 + 273 -> 2919
Job 3 Operation 7 on Machine 6 : 2885 + 354 -> 3239
Job 4 Operation 6 on Machine 5 : 2887 + 204 -> 3091
Job 9 Operation 6 on Machine 0 : 2897 + 96 -> 2993
Job 1 Operation 7 on Machine 7 : 2967 + 263 -> 3230
Job 7 Operation 6 on Machine 0 : 2993 + 40 -> 3033
Job 9 Operation 7 on Machine 3 : 2993 + 297 -> 3290
Job 4 Operation 7 on Machine 2 : 3091 + 236 -> 3327
Job 6 Operation 7 on Machine 5 : 3091 + 5 -> 3096
Job 2 Operation 7 on Machine 7 : 3230 + 91 -> 3321
Job 7 Operation 7 on Machine 6 : 3239 + 24 -> 3263
Makespan: 3327.0, as it is the maximum end completion time of Operation 7 |
4 | 3 | Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 263 mins.
Operation 1 on Machine 2 duration 181 mins.
Operation 2 on Machine 1 duration 319 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 307 mins.
Operation 1 on Machine 0 duration 291 mins.
Operation 2 on Machine 2 duration 90 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 318 mins.
Operation 1 on Machine 0 duration 144 mins.
Operation 2 on Machine 2 duration 347 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 83 mins.
Operation 1 on Machine 0 duration 222 mins.
Operation 2 on Machine 2 duration 87 mins.
| Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 263 mins.
Job 1 Operation 1 duration 291 mins.
Job 2 Operation 1 duration 144 mins.
Job 3 Operation 1 duration 222 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 307 mins.
Job 2 Operation 0 duration 318 mins.
Job 3 Operation 0 duration 83 mins.
Job 0 Operation 2 duration 319 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 181 mins.
Job 1 Operation 2 duration 90 mins.
Job 2 Operation 2 duration 347 mins.
Job 3 Operation 2 duration 87 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 263 -> 263
Job 3 Operation 0 on Machine 1 : 0 + 83 -> 83
Job 2 Operation 0 on Machine 1 : 83 + 318 -> 401
Job 3 Operation 1 on Machine 0 : 263 + 222 -> 485
Job 0 Operation 1 on Machine 2 : 263 + 181 -> 444
Job 1 Operation 0 on Machine 1 : 401 + 307 -> 708
Job 2 Operation 1 on Machine 0 : 485 + 144 -> 629
Job 3 Operation 2 on Machine 2 : 485 + 87 -> 572
Job 2 Operation 2 on Machine 2 : 629 + 347 -> 976
Job 1 Operation 1 on Machine 0 : 708 + 291 -> 999
Job 0 Operation 2 on Machine 1 : 708 + 319 -> 1027
Job 1 Operation 2 on Machine 2 : 999 + 90 -> 1089
Makespan: 1089.0, as it is the maximum end completion time of Operation 2 |
5 | 2 | Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 106 mins.
Operation 1 on Machine 1 duration 88 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 68 mins.
Operation 1 on Machine 1 duration 36 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 47 mins.
Operation 1 on Machine 1 duration 27 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 116 mins.
Operation 1 on Machine 1 duration 78 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 81 mins.
Operation 1 on Machine 1 duration 113 mins.
| Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 106 mins.
Job 1 Operation 0 duration 68 mins.
Job 2 Operation 0 duration 47 mins.
Job 3 Operation 0 duration 116 mins.
Job 4 Operation 0 duration 81 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 88 mins.
Job 1 Operation 1 duration 36 mins.
Job 2 Operation 1 duration 27 mins.
Job 3 Operation 1 duration 78 mins.
Job 4 Operation 1 duration 113 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 81 -> 81
Job 0 Operation 0 on Machine 0 : 81 + 106 -> 187
Job 4 Operation 1 on Machine 1 : 81 + 113 -> 194
Job 3 Operation 0 on Machine 0 : 187 + 116 -> 303
Job 0 Operation 1 on Machine 1 : 194 + 88 -> 282
Job 1 Operation 0 on Machine 0 : 303 + 68 -> 371
Job 3 Operation 1 on Machine 1 : 303 + 78 -> 381
Job 2 Operation 0 on Machine 0 : 371 + 47 -> 418
Job 1 Operation 1 on Machine 1 : 381 + 36 -> 417
Job 2 Operation 1 on Machine 1 : 418 + 27 -> 445
Makespan: 445.0, as it is the maximum end completion time of Operation 1 |
4 | 3 | Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 92 mins.
Operation 1 on Machine 0 duration 114 mins.
Operation 2 on Machine 2 duration 4 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 1 duration 69 mins.
Operation 2 on Machine 2 duration 49 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 156 mins.
Operation 1 on Machine 1 duration 100 mins.
Operation 2 on Machine 2 duration 157 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 93 mins.
Operation 1 on Machine 2 duration 4 mins.
Operation 2 on Machine 0 duration 104 mins.
| Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 4 mins.
Job 2 Operation 0 duration 156 mins.
Job 0 Operation 1 duration 114 mins.
Job 3 Operation 2 duration 104 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 92 mins.
Job 3 Operation 0 duration 93 mins.
Job 1 Operation 1 duration 69 mins.
Job 2 Operation 1 duration 100 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 4 mins.
Job 0 Operation 2 duration 4 mins.
Job 1 Operation 2 duration 49 mins.
Job 2 Operation 2 duration 157 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 156 -> 156
Job 3 Operation 0 on Machine 1 : 0 + 93 -> 93
Job 3 Operation 1 on Machine 2 : 93 + 4 -> 97
Job 3 Operation 2 on Machine 0 : 156 + 104 -> 260
Job 2 Operation 1 on Machine 1 : 156 + 100 -> 256
Job 0 Operation 0 on Machine 1 : 256 + 92 -> 348
Job 2 Operation 2 on Machine 2 : 256 + 157 -> 413
Job 1 Operation 0 on Machine 0 : 260 + 4 -> 264
Job 0 Operation 1 on Machine 0 : 348 + 114 -> 462
Job 1 Operation 1 on Machine 1 : 348 + 69 -> 417
Job 1 Operation 2 on Machine 2 : 417 + 49 -> 466
Job 0 Operation 2 on Machine 2 : 466 + 4 -> 470
Makespan: 470.0, as it is the maximum end completion time of Operation 2 |
4 | 2 | Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 76 mins.
Operation 1 on Machine 1 duration 85 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 71 mins.
Operation 1 on Machine 0 duration 23 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 22 mins.
Operation 1 on Machine 0 duration 45 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 97 mins.
Operation 1 on Machine 0 duration 24 mins.
| Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 76 mins.
Job 1 Operation 1 duration 23 mins.
Job 2 Operation 1 duration 45 mins.
Job 3 Operation 1 duration 24 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 71 mins.
Job 2 Operation 0 duration 22 mins.
Job 3 Operation 0 duration 97 mins.
Job 0 Operation 1 duration 85 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 76 -> 76
Job 2 Operation 0 on Machine 1 : 0 + 22 -> 22
Job 3 Operation 0 on Machine 1 : 22 + 97 -> 119
Job 3 Operation 1 on Machine 0 : 119 + 24 -> 143
Job 1 Operation 0 on Machine 1 : 119 + 71 -> 190
Job 2 Operation 1 on Machine 0 : 143 + 45 -> 188
Job 1 Operation 1 on Machine 0 : 190 + 23 -> 213
Job 0 Operation 1 on Machine 1 : 190 + 85 -> 275
Makespan: 275.0, as it is the maximum end completion time of Operation 1 |
5 | 3 | Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 352 mins.
Operation 1 on Machine 2 duration 136 mins.
Operation 2 on Machine 1 duration 99 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 64 mins.
Operation 1 on Machine 2 duration 3 mins.
Operation 2 on Machine 0 duration 223 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 66 mins.
Operation 1 on Machine 2 duration 247 mins.
Operation 2 on Machine 0 duration 144 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 358 mins.
Operation 1 on Machine 0 duration 287 mins.
Operation 2 on Machine 2 duration 63 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 52 mins.
Operation 1 on Machine 2 duration 185 mins.
Operation 2 on Machine 1 duration 94 mins.
| Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 352 mins.
Job 4 Operation 0 duration 52 mins.
Job 3 Operation 1 duration 287 mins.
Job 1 Operation 2 duration 223 mins.
Job 2 Operation 2 duration 144 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 64 mins.
Job 2 Operation 0 duration 66 mins.
Job 3 Operation 0 duration 358 mins.
Job 0 Operation 2 duration 99 mins.
Job 4 Operation 2 duration 94 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 136 mins.
Job 1 Operation 1 duration 3 mins.
Job 2 Operation 1 duration 247 mins.
Job 4 Operation 1 duration 185 mins.
Job 3 Operation 2 duration 63 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 52 -> 52
Job 1 Operation 0 on Machine 1 : 0 + 64 -> 64
Job 0 Operation 0 on Machine 0 : 52 + 352 -> 404
Job 2 Operation 0 on Machine 1 : 64 + 66 -> 130
Job 1 Operation 1 on Machine 2 : 64 + 3 -> 67
Job 3 Operation 0 on Machine 1 : 130 + 358 -> 488
Job 2 Operation 1 on Machine 2 : 130 + 247 -> 377
Job 2 Operation 2 on Machine 0 : 404 + 144 -> 548
Job 0 Operation 1 on Machine 2 : 404 + 136 -> 540
Job 0 Operation 2 on Machine 1 : 540 + 99 -> 639
Job 4 Operation 1 on Machine 2 : 540 + 185 -> 725
Job 3 Operation 1 on Machine 0 : 548 + 287 -> 835
Job 4 Operation 2 on Machine 1 : 725 + 94 -> 819
Job 1 Operation 2 on Machine 0 : 835 + 223 -> 1058
Job 3 Operation 2 on Machine 2 : 835 + 63 -> 898
Makespan: 1058.0, as it is the maximum end completion time of Operation 2 |
12 | 12 | Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 16 mins.
Operation 1 on Machine 5 duration 221 mins.
Operation 2 on Machine 7 duration 82 mins.
Operation 3 on Machine 1 duration 285 mins.
Operation 4 on Machine 2 duration 144 mins.
Operation 5 on Machine 8 duration 104 mins.
Operation 6 on Machine 11 duration 253 mins.
Operation 7 on Machine 6 duration 65 mins.
Operation 8 on Machine 3 duration 169 mins.
Operation 9 on Machine 10 duration 36 mins.
Operation 10 on Machine 0 duration 25 mins.
Operation 11 on Machine 9 duration 296 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 204 mins.
Operation 1 on Machine 9 duration 312 mins.
Operation 2 on Machine 7 duration 293 mins.
Operation 3 on Machine 11 duration 44 mins.
Operation 4 on Machine 2 duration 318 mins.
Operation 5 on Machine 8 duration 48 mins.
Operation 6 on Machine 4 duration 277 mins.
Operation 7 on Machine 1 duration 142 mins.
Operation 8 on Machine 3 duration 84 mins.
Operation 9 on Machine 10 duration 57 mins.
Operation 10 on Machine 0 duration 273 mins.
Operation 11 on Machine 5 duration 130 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 9 duration 171 mins.
Operation 1 on Machine 1 duration 145 mins.
Operation 2 on Machine 3 duration 202 mins.
Operation 3 on Machine 5 duration 325 mins.
Operation 4 on Machine 10 duration 193 mins.
Operation 5 on Machine 6 duration 104 mins.
Operation 6 on Machine 4 duration 268 mins.
Operation 7 on Machine 7 duration 253 mins.
Operation 8 on Machine 8 duration 3 mins.
Operation 9 on Machine 11 duration 192 mins.
Operation 10 on Machine 2 duration 178 mins.
Operation 11 on Machine 0 duration 316 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 211 mins.
Operation 1 on Machine 0 duration 11 mins.
Operation 2 on Machine 1 duration 162 mins.
Operation 3 on Machine 3 duration 83 mins.
Operation 4 on Machine 8 duration 323 mins.
Operation 5 on Machine 5 duration 143 mins.
Operation 6 on Machine 2 duration 229 mins.
Operation 7 on Machine 7 duration 227 mins.
Operation 8 on Machine 9 duration 320 mins.
Operation 9 on Machine 6 duration 134 mins.
Operation 10 on Machine 11 duration 109 mins.
Operation 11 on Machine 10 duration 215 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 11 duration 18 mins.
Operation 1 on Machine 2 duration 318 mins.
Operation 2 on Machine 0 duration 100 mins.
Operation 3 on Machine 9 duration 191 mins.
Operation 4 on Machine 6 duration 195 mins.
Operation 5 on Machine 8 duration 318 mins.
Operation 6 on Machine 10 duration 165 mins.
Operation 7 on Machine 4 duration 161 mins.
Operation 8 on Machine 5 duration 226 mins.
Operation 9 on Machine 1 duration 82 mins.
Operation 10 on Machine 7 duration 135 mins.
Operation 11 on Machine 3 duration 303 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 9 duration 197 mins.
Operation 1 on Machine 11 duration 168 mins.
Operation 2 on Machine 8 duration 79 mins.
Operation 3 on Machine 2 duration 231 mins.
Operation 4 on Machine 10 duration 202 mins.
Operation 5 on Machine 4 duration 126 mins.
Operation 6 on Machine 7 duration 108 mins.
Operation 7 on Machine 5 duration 279 mins.
Operation 8 on Machine 6 duration 166 mins.
Operation 9 on Machine 0 duration 291 mins.
Operation 10 on Machine 1 duration 222 mins.
Operation 11 on Machine 3 duration 34 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 59 mins.
Operation 1 on Machine 6 duration 7 mins.
Operation 2 on Machine 10 duration 102 mins.
Operation 3 on Machine 0 duration 304 mins.
Operation 4 on Machine 5 duration 163 mins.
Operation 5 on Machine 8 duration 211 mins.
Operation 6 on Machine 2 duration 102 mins.
Operation 7 on Machine 4 duration 46 mins.
Operation 8 on Machine 11 duration 103 mins.
Operation 9 on Machine 3 duration 58 mins.
Operation 10 on Machine 9 duration 189 mins.
Operation 11 on Machine 7 duration 176 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 307 mins.
Operation 1 on Machine 0 duration 95 mins.
Operation 2 on Machine 8 duration 147 mins.
Operation 3 on Machine 5 duration 38 mins.
Operation 4 on Machine 6 duration 35 mins.
Operation 5 on Machine 11 duration 206 mins.
Operation 6 on Machine 1 duration 204 mins.
Operation 7 on Machine 3 duration 325 mins.
Operation 8 on Machine 9 duration 213 mins.
Operation 9 on Machine 10 duration 180 mins.
Operation 10 on Machine 4 duration 173 mins.
Operation 11 on Machine 7 duration 310 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 113 mins.
Operation 1 on Machine 1 duration 171 mins.
Operation 2 on Machine 8 duration 318 mins.
Operation 3 on Machine 11 duration 199 mins.
Operation 4 on Machine 3 duration 140 mins.
Operation 5 on Machine 5 duration 171 mins.
Operation 6 on Machine 10 duration 239 mins.
Operation 7 on Machine 2 duration 148 mins.
Operation 8 on Machine 9 duration 199 mins.
Operation 9 on Machine 0 duration 289 mins.
Operation 10 on Machine 7 duration 277 mins.
Operation 11 on Machine 6 duration 192 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 22 mins.
Operation 1 on Machine 8 duration 18 mins.
Operation 2 on Machine 6 duration 131 mins.
Operation 3 on Machine 7 duration 18 mins.
Operation 4 on Machine 10 duration 82 mins.
Operation 5 on Machine 2 duration 323 mins.
Operation 6 on Machine 1 duration 227 mins.
Operation 7 on Machine 5 duration 305 mins.
Operation 8 on Machine 0 duration 322 mins.
Operation 9 on Machine 9 duration 179 mins.
Operation 10 on Machine 4 duration 278 mins.
Operation 11 on Machine 11 duration 308 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 7 duration 91 mins.
Operation 1 on Machine 10 duration 130 mins.
Operation 2 on Machine 1 duration 117 mins.
Operation 3 on Machine 4 duration 128 mins.
Operation 4 on Machine 3 duration 135 mins.
Operation 5 on Machine 11 duration 258 mins.
Operation 6 on Machine 5 duration 280 mins.
Operation 7 on Machine 0 duration 271 mins.
Operation 8 on Machine 9 duration 27 mins.
Operation 9 on Machine 2 duration 158 mins.
Operation 10 on Machine 8 duration 97 mins.
Operation 11 on Machine 6 duration 229 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 8 duration 63 mins.
Operation 1 on Machine 2 duration 244 mins.
Operation 2 on Machine 4 duration 4 mins.
Operation 3 on Machine 10 duration 267 mins.
Operation 4 on Machine 1 duration 271 mins.
Operation 5 on Machine 7 duration 127 mins.
Operation 6 on Machine 5 duration 151 mins.
Operation 7 on Machine 3 duration 190 mins.
Operation 8 on Machine 11 duration 193 mins.
Operation 9 on Machine 0 duration 279 mins.
Operation 10 on Machine 9 duration 156 mins.
Operation 11 on Machine 6 duration 52 mins.
| Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 1 duration 11 mins.
Job 7 Operation 1 duration 95 mins.
Job 4 Operation 2 duration 100 mins.
Job 6 Operation 3 duration 304 mins.
Job 10 Operation 7 duration 271 mins.
Job 9 Operation 8 duration 322 mins.
Job 5 Operation 9 duration 291 mins.
Job 8 Operation 9 duration 289 mins.
Job 11 Operation 9 duration 279 mins.
Job 0 Operation 10 duration 25 mins.
Job 1 Operation 10 duration 273 mins.
Job 2 Operation 11 duration 316 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 59 mins.
Job 2 Operation 1 duration 145 mins.
Job 8 Operation 1 duration 171 mins.
Job 3 Operation 2 duration 162 mins.
Job 10 Operation 2 duration 117 mins.
Job 0 Operation 3 duration 285 mins.
Job 11 Operation 4 duration 271 mins.
Job 7 Operation 6 duration 204 mins.
Job 9 Operation 6 duration 227 mins.
Job 1 Operation 7 duration 142 mins.
Job 4 Operation 9 duration 82 mins.
Job 5 Operation 10 duration 222 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 307 mins.
Job 4 Operation 1 duration 318 mins.
Job 11 Operation 1 duration 244 mins.
Job 5 Operation 3 duration 231 mins.
Job 0 Operation 4 duration 144 mins.
Job 1 Operation 4 duration 318 mins.
Job 9 Operation 5 duration 323 mins.
Job 3 Operation 6 duration 229 mins.
Job 6 Operation 6 duration 102 mins.
Job 8 Operation 7 duration 148 mins.
Job 10 Operation 9 duration 158 mins.
Job 2 Operation 10 duration 178 mins.
Machine 3 is used for the following Operations:
Job 9 Operation 0 duration 22 mins.
Job 2 Operation 2 duration 202 mins.
Job 3 Operation 3 duration 83 mins.
Job 8 Operation 4 duration 140 mins.
Job 10 Operation 4 duration 135 mins.
Job 7 Operation 7 duration 325 mins.
Job 11 Operation 7 duration 190 mins.
Job 0 Operation 8 duration 169 mins.
Job 1 Operation 8 duration 84 mins.
Job 6 Operation 9 duration 58 mins.
Job 4 Operation 11 duration 303 mins.
Job 5 Operation 11 duration 34 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 16 mins.
Job 3 Operation 0 duration 211 mins.
Job 8 Operation 0 duration 113 mins.
Job 11 Operation 2 duration 4 mins.
Job 10 Operation 3 duration 128 mins.
Job 5 Operation 5 duration 126 mins.
Job 1 Operation 6 duration 277 mins.
Job 2 Operation 6 duration 268 mins.
Job 4 Operation 7 duration 161 mins.
Job 6 Operation 7 duration 46 mins.
Job 7 Operation 10 duration 173 mins.
Job 9 Operation 10 duration 278 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 1 duration 221 mins.
Job 2 Operation 3 duration 325 mins.
Job 7 Operation 3 duration 38 mins.
Job 6 Operation 4 duration 163 mins.
Job 3 Operation 5 duration 143 mins.
Job 8 Operation 5 duration 171 mins.
Job 10 Operation 6 duration 280 mins.
Job 11 Operation 6 duration 151 mins.
Job 5 Operation 7 duration 279 mins.
Job 9 Operation 7 duration 305 mins.
Job 4 Operation 8 duration 226 mins.
Job 1 Operation 11 duration 130 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 204 mins.
Job 6 Operation 1 duration 7 mins.
Job 9 Operation 2 duration 131 mins.
Job 4 Operation 4 duration 195 mins.
Job 7 Operation 4 duration 35 mins.
Job 2 Operation 5 duration 104 mins.
Job 0 Operation 7 duration 65 mins.
Job 5 Operation 8 duration 166 mins.
Job 3 Operation 9 duration 134 mins.
Job 8 Operation 11 duration 192 mins.
Job 10 Operation 11 duration 229 mins.
Job 11 Operation 11 duration 52 mins.
Machine 7 is used for the following Operations:
Job 10 Operation 0 duration 91 mins.
Job 0 Operation 2 duration 82 mins.
Job 1 Operation 2 duration 293 mins.
Job 9 Operation 3 duration 18 mins.
Job 11 Operation 5 duration 127 mins.
Job 5 Operation 6 duration 108 mins.
Job 2 Operation 7 duration 253 mins.
Job 3 Operation 7 duration 227 mins.
Job 4 Operation 10 duration 135 mins.
Job 8 Operation 10 duration 277 mins.
Job 6 Operation 11 duration 176 mins.
Job 7 Operation 11 duration 310 mins.
Machine 8 is used for the following Operations:
Job 11 Operation 0 duration 63 mins.
Job 9 Operation 1 duration 18 mins.
Job 5 Operation 2 duration 79 mins.
Job 7 Operation 2 duration 147 mins.
Job 8 Operation 2 duration 318 mins.
Job 3 Operation 4 duration 323 mins.
Job 0 Operation 5 duration 104 mins.
Job 1 Operation 5 duration 48 mins.
Job 4 Operation 5 duration 318 mins.
Job 6 Operation 5 duration 211 mins.
Job 2 Operation 8 duration 3 mins.
Job 10 Operation 10 duration 97 mins.
Machine 9 is used for the following Operations:
Job 2 Operation 0 duration 171 mins.
Job 5 Operation 0 duration 197 mins.
Job 1 Operation 1 duration 312 mins.
Job 4 Operation 3 duration 191 mins.
Job 3 Operation 8 duration 320 mins.
Job 7 Operation 8 duration 213 mins.
Job 8 Operation 8 duration 199 mins.
Job 10 Operation 8 duration 27 mins.
Job 9 Operation 9 duration 179 mins.
Job 6 Operation 10 duration 189 mins.
Job 11 Operation 10 duration 156 mins.
Job 0 Operation 11 duration 296 mins.
Machine 10 is used for the following Operations:
Job 10 Operation 1 duration 130 mins.
Job 6 Operation 2 duration 102 mins.
Job 11 Operation 3 duration 267 mins.
Job 2 Operation 4 duration 193 mins.
Job 5 Operation 4 duration 202 mins.
Job 9 Operation 4 duration 82 mins.
Job 4 Operation 6 duration 165 mins.
Job 8 Operation 6 duration 239 mins.
Job 0 Operation 9 duration 36 mins.
Job 1 Operation 9 duration 57 mins.
Job 7 Operation 9 duration 180 mins.
Job 3 Operation 11 duration 215 mins.
Machine 11 is used for the following Operations:
Job 4 Operation 0 duration 18 mins.
Job 5 Operation 1 duration 168 mins.
Job 1 Operation 3 duration 44 mins.
Job 8 Operation 3 duration 199 mins.
Job 7 Operation 5 duration 206 mins.
Job 10 Operation 5 duration 258 mins.
Job 0 Operation 6 duration 253 mins.
Job 6 Operation 8 duration 103 mins.
Job 11 Operation 8 duration 193 mins.
Job 2 Operation 9 duration 192 mins.
Job 3 Operation 10 duration 109 mins.
Job 9 Operation 11 duration 308 mins.
| Solution:
Job 6 Operation 0 on Machine 1 : 0 + 59 -> 59
Job 9 Operation 0 on Machine 3 : 0 + 22 -> 22
Job 8 Operation 0 on Machine 4 : 0 + 113 -> 113
Job 10 Operation 0 on Machine 7 : 0 + 91 -> 91
Job 11 Operation 0 on Machine 8 : 0 + 63 -> 63
Job 2 Operation 0 on Machine 9 : 0 + 171 -> 171
Job 4 Operation 0 on Machine 11 : 0 + 18 -> 18
Job 6 Operation 1 on Machine 6 : 59 + 7 -> 66
Job 11 Operation 1 on Machine 2 : 63 + 244 -> 307
Job 9 Operation 1 on Machine 8 : 63 + 18 -> 81
Job 1 Operation 0 on Machine 6 : 66 + 204 -> 270
Job 6 Operation 2 on Machine 10 : 66 + 102 -> 168
Job 8 Operation 1 on Machine 1 : 113 + 171 -> 284
Job 0 Operation 0 on Machine 4 : 113 + 16 -> 129
Job 0 Operation 1 on Machine 5 : 129 + 221 -> 350
Job 6 Operation 3 on Machine 0 : 168 + 304 -> 472
Job 10 Operation 1 on Machine 10 : 168 + 130 -> 298
Job 5 Operation 0 on Machine 9 : 171 + 197 -> 368
Job 9 Operation 2 on Machine 6 : 270 + 131 -> 401
Job 2 Operation 1 on Machine 1 : 284 + 145 -> 429
Job 8 Operation 2 on Machine 8 : 284 + 318 -> 602
Job 7 Operation 0 on Machine 2 : 307 + 307 -> 614
Job 11 Operation 2 on Machine 4 : 307 + 4 -> 311
Job 3 Operation 0 on Machine 4 : 311 + 211 -> 522
Job 11 Operation 3 on Machine 10 : 311 + 267 -> 578
Job 1 Operation 1 on Machine 9 : 368 + 312 -> 680
Job 5 Operation 1 on Machine 11 : 368 + 168 -> 536
Job 9 Operation 3 on Machine 7 : 401 + 18 -> 419
Job 0 Operation 2 on Machine 7 : 419 + 82 -> 501
Job 10 Operation 2 on Machine 1 : 429 + 117 -> 546
Job 2 Operation 2 on Machine 3 : 429 + 202 -> 631
Job 6 Operation 4 on Machine 5 : 472 + 163 -> 635
Job 3 Operation 1 on Machine 0 : 522 + 11 -> 533
Job 10 Operation 3 on Machine 4 : 546 + 128 -> 674
Job 11 Operation 4 on Machine 1 : 578 + 271 -> 849
Job 9 Operation 4 on Machine 10 : 578 + 82 -> 660
Job 5 Operation 2 on Machine 8 : 602 + 79 -> 681
Job 8 Operation 3 on Machine 11 : 602 + 199 -> 801
Job 7 Operation 1 on Machine 0 : 614 + 95 -> 709
Job 4 Operation 1 on Machine 2 : 614 + 318 -> 932
Job 2 Operation 3 on Machine 5 : 635 + 325 -> 960
Job 10 Operation 4 on Machine 3 : 674 + 135 -> 809
Job 7 Operation 2 on Machine 8 : 709 + 147 -> 856
Job 8 Operation 4 on Machine 3 : 809 + 140 -> 949
Job 10 Operation 5 on Machine 11 : 809 + 258 -> 1067
Job 3 Operation 2 on Machine 1 : 849 + 162 -> 1011
Job 11 Operation 5 on Machine 7 : 849 + 127 -> 976
Job 6 Operation 5 on Machine 8 : 856 + 211 -> 1067
Job 4 Operation 2 on Machine 0 : 932 + 100 -> 1032
Job 9 Operation 5 on Machine 2 : 932 + 323 -> 1255
Job 2 Operation 4 on Machine 10 : 960 + 193 -> 1153
Job 11 Operation 6 on Machine 5 : 976 + 151 -> 1127
Job 1 Operation 2 on Machine 7 : 976 + 293 -> 1269
Job 0 Operation 3 on Machine 1 : 1011 + 285 -> 1296
Job 3 Operation 3 on Machine 3 : 1011 + 83 -> 1094
Job 4 Operation 3 on Machine 9 : 1032 + 191 -> 1223
Job 3 Operation 4 on Machine 8 : 1094 + 323 -> 1417
Job 11 Operation 7 on Machine 3 : 1127 + 190 -> 1317
Job 10 Operation 6 on Machine 5 : 1127 + 280 -> 1407
Job 2 Operation 5 on Machine 6 : 1153 + 104 -> 1257
Job 5 Operation 3 on Machine 2 : 1255 + 231 -> 1486
Job 2 Operation 6 on Machine 4 : 1257 + 268 -> 1525
Job 4 Operation 4 on Machine 6 : 1257 + 195 -> 1452
Job 1 Operation 3 on Machine 11 : 1269 + 44 -> 1313
Job 9 Operation 6 on Machine 1 : 1296 + 227 -> 1523
Job 11 Operation 8 on Machine 11 : 1317 + 193 -> 1510
Job 10 Operation 7 on Machine 0 : 1407 + 271 -> 1678
Job 7 Operation 3 on Machine 5 : 1407 + 38 -> 1445
Job 8 Operation 5 on Machine 5 : 1445 + 171 -> 1616
Job 7 Operation 4 on Machine 6 : 1452 + 35 -> 1487
Job 4 Operation 5 on Machine 8 : 1452 + 318 -> 1770
Job 6 Operation 6 on Machine 2 : 1486 + 102 -> 1588
Job 5 Operation 4 on Machine 10 : 1486 + 202 -> 1688
Job 2 Operation 7 on Machine 7 : 1525 + 253 -> 1778
Job 1 Operation 4 on Machine 2 : 1588 + 318 -> 1906
Job 6 Operation 7 on Machine 4 : 1588 + 46 -> 1634
Job 9 Operation 7 on Machine 5 : 1616 + 305 -> 1921
Job 6 Operation 8 on Machine 11 : 1634 + 103 -> 1737
Job 11 Operation 9 on Machine 0 : 1678 + 279 -> 1957
Job 10 Operation 8 on Machine 9 : 1678 + 27 -> 1705
Job 5 Operation 5 on Machine 4 : 1688 + 126 -> 1814
Job 8 Operation 6 on Machine 10 : 1688 + 239 -> 1927
Job 6 Operation 9 on Machine 3 : 1737 + 58 -> 1795
Job 7 Operation 5 on Machine 11 : 1737 + 206 -> 1943
Job 6 Operation 10 on Machine 9 : 1795 + 189 -> 1984
Job 5 Operation 6 on Machine 7 : 1814 + 108 -> 1922
Job 1 Operation 5 on Machine 8 : 1906 + 48 -> 1954
Job 3 Operation 5 on Machine 5 : 1921 + 143 -> 2064
Job 8 Operation 7 on Machine 2 : 1927 + 148 -> 2075
Job 4 Operation 6 on Machine 10 : 1927 + 165 -> 2092
Job 7 Operation 6 on Machine 1 : 1943 + 204 -> 2147
Job 1 Operation 6 on Machine 4 : 1954 + 277 -> 2231
Job 2 Operation 8 on Machine 8 : 1954 + 3 -> 1957
Job 9 Operation 8 on Machine 0 : 1957 + 322 -> 2279
Job 2 Operation 9 on Machine 11 : 1957 + 192 -> 2149
Job 6 Operation 11 on Machine 7 : 1984 + 176 -> 2160
Job 5 Operation 7 on Machine 5 : 2064 + 279 -> 2343
Job 0 Operation 4 on Machine 2 : 2075 + 144 -> 2219
Job 8 Operation 8 on Machine 9 : 2075 + 199 -> 2274
Job 7 Operation 7 on Machine 3 : 2147 + 325 -> 2472
Job 3 Operation 6 on Machine 2 : 2219 + 229 -> 2448
Job 0 Operation 5 on Machine 8 : 2219 + 104 -> 2323
Job 1 Operation 7 on Machine 1 : 2231 + 142 -> 2373
Job 4 Operation 7 on Machine 4 : 2231 + 161 -> 2392
Job 8 Operation 9 on Machine 0 : 2279 + 289 -> 2568
Job 9 Operation 9 on Machine 9 : 2279 + 179 -> 2458
Job 0 Operation 6 on Machine 11 : 2323 + 253 -> 2576
Job 5 Operation 8 on Machine 6 : 2343 + 166 -> 2509
Job 4 Operation 8 on Machine 5 : 2392 + 226 -> 2618
Job 10 Operation 9 on Machine 2 : 2448 + 158 -> 2606
Job 3 Operation 7 on Machine 7 : 2448 + 227 -> 2675
Job 9 Operation 10 on Machine 4 : 2458 + 278 -> 2736
Job 1 Operation 8 on Machine 3 : 2472 + 84 -> 2556
Job 7 Operation 8 on Machine 9 : 2472 + 213 -> 2685
Job 1 Operation 9 on Machine 10 : 2556 + 57 -> 2613
Job 5 Operation 9 on Machine 0 : 2568 + 291 -> 2859
Job 0 Operation 7 on Machine 6 : 2576 + 65 -> 2641
Job 2 Operation 10 on Machine 2 : 2606 + 178 -> 2784
Job 10 Operation 10 on Machine 8 : 2606 + 97 -> 2703
Job 4 Operation 9 on Machine 1 : 2618 + 82 -> 2700
Job 0 Operation 8 on Machine 3 : 2641 + 169 -> 2810
Job 8 Operation 10 on Machine 7 : 2675 + 277 -> 2952
Job 3 Operation 8 on Machine 9 : 2685 + 320 -> 3005
Job 7 Operation 9 on Machine 10 : 2685 + 180 -> 2865
Job 10 Operation 11 on Machine 6 : 2703 + 229 -> 2932
Job 9 Operation 11 on Machine 11 : 2736 + 308 -> 3044
Job 1 Operation 10 on Machine 0 : 2859 + 273 -> 3132
Job 5 Operation 10 on Machine 1 : 2859 + 222 -> 3081
Job 7 Operation 10 on Machine 4 : 2865 + 173 -> 3038
Job 0 Operation 9 on Machine 10 : 2865 + 36 -> 2901
Job 4 Operation 10 on Machine 7 : 2952 + 135 -> 3087
Job 3 Operation 9 on Machine 6 : 3005 + 134 -> 3139
Job 11 Operation 10 on Machine 9 : 3005 + 156 -> 3161
Job 5 Operation 11 on Machine 3 : 3081 + 34 -> 3115
Job 7 Operation 11 on Machine 7 : 3087 + 310 -> 3397
Job 4 Operation 11 on Machine 3 : 3115 + 303 -> 3418
Job 0 Operation 10 on Machine 0 : 3132 + 25 -> 3157
Job 1 Operation 11 on Machine 5 : 3132 + 130 -> 3262
Job 8 Operation 11 on Machine 6 : 3139 + 192 -> 3331
Job 3 Operation 10 on Machine 11 : 3139 + 109 -> 3248
Job 2 Operation 11 on Machine 0 : 3157 + 316 -> 3473
Job 0 Operation 11 on Machine 9 : 3161 + 296 -> 3457
Job 3 Operation 11 on Machine 10 : 3248 + 215 -> 3463
Job 11 Operation 11 on Machine 6 : 3331 + 52 -> 3383
Makespan: 3473.0, as it is the maximum end completion time of Operation 11 |
9 | 5 | Optimize schedule for 9 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 1 mins.
Operation 1 on Machine 0 duration 12 mins.
Operation 2 on Machine 2 duration 18 mins.
Operation 3 on Machine 3 duration 39 mins.
Operation 4 on Machine 1 duration 33 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 25 mins.
Operation 1 on Machine 2 duration 39 mins.
Operation 2 on Machine 0 duration 21 mins.
Operation 3 on Machine 3 duration 4 mins.
Operation 4 on Machine 1 duration 1 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 37 mins.
Operation 1 on Machine 2 duration 20 mins.
Operation 2 on Machine 0 duration 38 mins.
Operation 3 on Machine 4 duration 34 mins.
Operation 4 on Machine 1 duration 26 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 4 mins.
Operation 1 on Machine 0 duration 20 mins.
Operation 2 on Machine 2 duration 18 mins.
Operation 3 on Machine 3 duration 24 mins.
Operation 4 on Machine 1 duration 29 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 28 mins.
Operation 1 on Machine 0 duration 17 mins.
Operation 2 on Machine 1 duration 8 mins.
Operation 3 on Machine 2 duration 21 mins.
Operation 4 on Machine 3 duration 16 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 15 mins.
Operation 1 on Machine 1 duration 34 mins.
Operation 2 on Machine 0 duration 23 mins.
Operation 3 on Machine 3 duration 22 mins.
Operation 4 on Machine 4 duration 40 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 30 mins.
Operation 1 on Machine 4 duration 28 mins.
Operation 2 on Machine 2 duration 35 mins.
Operation 3 on Machine 1 duration 6 mins.
Operation 4 on Machine 0 duration 21 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 31 mins.
Operation 1 on Machine 4 duration 33 mins.
Operation 2 on Machine 2 duration 5 mins.
Operation 3 on Machine 1 duration 34 mins.
Operation 4 on Machine 3 duration 35 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 3 duration 15 mins.
Operation 2 on Machine 0 duration 30 mins.
Operation 3 on Machine 4 duration 37 mins.
Operation 4 on Machine 1 duration 27 mins.
| Optimize schedule for 9 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 7 Operation 0 duration 31 mins.
Job 0 Operation 1 duration 12 mins.
Job 3 Operation 1 duration 20 mins.
Job 4 Operation 1 duration 17 mins.
Job 1 Operation 2 duration 21 mins.
Job 2 Operation 2 duration 38 mins.
Job 5 Operation 2 duration 23 mins.
Job 8 Operation 2 duration 30 mins.
Job 6 Operation 4 duration 21 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 1 duration 34 mins.
Job 4 Operation 2 duration 8 mins.
Job 6 Operation 3 duration 6 mins.
Job 7 Operation 3 duration 34 mins.
Job 0 Operation 4 duration 33 mins.
Job 1 Operation 4 duration 1 mins.
Job 2 Operation 4 duration 26 mins.
Job 3 Operation 4 duration 29 mins.
Job 8 Operation 4 duration 27 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 15 mins.
Job 8 Operation 0 duration 4 mins.
Job 1 Operation 1 duration 39 mins.
Job 2 Operation 1 duration 20 mins.
Job 0 Operation 2 duration 18 mins.
Job 3 Operation 2 duration 18 mins.
Job 6 Operation 2 duration 35 mins.
Job 7 Operation 2 duration 5 mins.
Job 4 Operation 3 duration 21 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 37 mins.
Job 6 Operation 0 duration 30 mins.
Job 8 Operation 1 duration 15 mins.
Job 0 Operation 3 duration 39 mins.
Job 1 Operation 3 duration 4 mins.
Job 3 Operation 3 duration 24 mins.
Job 5 Operation 3 duration 22 mins.
Job 4 Operation 4 duration 16 mins.
Job 7 Operation 4 duration 35 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 1 mins.
Job 1 Operation 0 duration 25 mins.
Job 3 Operation 0 duration 4 mins.
Job 4 Operation 0 duration 28 mins.
Job 6 Operation 1 duration 28 mins.
Job 7 Operation 1 duration 33 mins.
Job 2 Operation 3 duration 34 mins.
Job 8 Operation 3 duration 37 mins.
Job 5 Operation 4 duration 40 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 31 -> 31
Job 5 Operation 0 on Machine 2 : 0 + 15 -> 15
Job 2 Operation 0 on Machine 3 : 0 + 37 -> 37
Job 0 Operation 0 on Machine 4 : 0 + 1 -> 1
Job 4 Operation 0 on Machine 4 : 1 + 28 -> 29
Job 5 Operation 1 on Machine 1 : 15 + 34 -> 49
Job 8 Operation 0 on Machine 2 : 15 + 4 -> 19
Job 0 Operation 1 on Machine 0 : 31 + 12 -> 43
Job 7 Operation 1 on Machine 4 : 31 + 33 -> 64
Job 8 Operation 1 on Machine 3 : 37 + 15 -> 52
Job 4 Operation 1 on Machine 0 : 43 + 17 -> 60
Job 0 Operation 2 on Machine 2 : 43 + 18 -> 61
Job 8 Operation 2 on Machine 0 : 60 + 30 -> 90
Job 4 Operation 2 on Machine 1 : 60 + 8 -> 68
Job 0 Operation 3 on Machine 3 : 61 + 39 -> 100
Job 7 Operation 2 on Machine 2 : 64 + 5 -> 69
Job 3 Operation 0 on Machine 4 : 64 + 4 -> 68
Job 1 Operation 0 on Machine 4 : 68 + 25 -> 93
Job 7 Operation 3 on Machine 1 : 69 + 34 -> 103
Job 2 Operation 1 on Machine 2 : 69 + 20 -> 89
Job 4 Operation 3 on Machine 2 : 89 + 21 -> 110
Job 3 Operation 1 on Machine 0 : 90 + 20 -> 110
Job 8 Operation 3 on Machine 4 : 93 + 37 -> 130
Job 6 Operation 0 on Machine 3 : 100 + 30 -> 130
Job 0 Operation 4 on Machine 1 : 103 + 33 -> 136
Job 2 Operation 2 on Machine 0 : 110 + 38 -> 148
Job 3 Operation 2 on Machine 2 : 110 + 18 -> 128
Job 1 Operation 1 on Machine 2 : 128 + 39 -> 167
Job 4 Operation 4 on Machine 3 : 130 + 16 -> 146
Job 6 Operation 1 on Machine 4 : 130 + 28 -> 158
Job 8 Operation 4 on Machine 1 : 136 + 27 -> 163
Job 3 Operation 3 on Machine 3 : 146 + 24 -> 170
Job 5 Operation 2 on Machine 0 : 148 + 23 -> 171
Job 2 Operation 3 on Machine 4 : 158 + 34 -> 192
Job 6 Operation 2 on Machine 2 : 167 + 35 -> 202
Job 3 Operation 4 on Machine 1 : 170 + 29 -> 199
Job 1 Operation 2 on Machine 0 : 171 + 21 -> 192
Job 5 Operation 3 on Machine 3 : 171 + 22 -> 193
Job 1 Operation 3 on Machine 3 : 193 + 4 -> 197
Job 5 Operation 4 on Machine 4 : 193 + 40 -> 233
Job 7 Operation 4 on Machine 3 : 197 + 35 -> 232
Job 1 Operation 4 on Machine 1 : 199 + 1 -> 200
Job 6 Operation 3 on Machine 1 : 202 + 6 -> 208
Job 6 Operation 4 on Machine 0 : 208 + 21 -> 229
Job 2 Operation 4 on Machine 1 : 208 + 26 -> 234
Makespan: 234.0, as it is the maximum end completion time of Operation 4 |
2 | 2 | Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 61 mins.
Operation 1 on Machine 1 duration 68 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 53 mins.
Operation 1 on Machine 1 duration 67 mins.
| Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 61 mins.
Job 1 Operation 0 duration 53 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 68 mins.
Job 1 Operation 1 duration 67 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 53 -> 53
Job 0 Operation 0 on Machine 0 : 53 + 61 -> 114
Job 1 Operation 1 on Machine 1 : 53 + 67 -> 120
Job 0 Operation 1 on Machine 1 : 120 + 68 -> 188
Makespan: 188.0, as it is the maximum end completion time of Operation 1 |
5 | 2 | Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 164 mins.
Operation 1 on Machine 1 duration 65 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 136 mins.
Operation 1 on Machine 0 duration 187 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 215 mins.
Operation 1 on Machine 1 duration 197 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 228 mins.
Operation 1 on Machine 1 duration 238 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 169 mins.
Operation 1 on Machine 0 duration 216 mins.
| Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 164 mins.
Job 2 Operation 0 duration 215 mins.
Job 3 Operation 0 duration 228 mins.
Job 1 Operation 1 duration 187 mins.
Job 4 Operation 1 duration 216 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 136 mins.
Job 4 Operation 0 duration 169 mins.
Job 0 Operation 1 duration 65 mins.
Job 2 Operation 1 duration 197 mins.
Job 3 Operation 1 duration 238 mins.
| Solution:
Job 2 Operation 0 on Machine 0 : 0 + 215 -> 215
Job 1 Operation 0 on Machine 1 : 0 + 136 -> 136
Job 1 Operation 1 on Machine 0 : 215 + 187 -> 402
Job 2 Operation 1 on Machine 1 : 215 + 197 -> 412
Job 3 Operation 0 on Machine 0 : 402 + 228 -> 630
Job 4 Operation 0 on Machine 1 : 412 + 169 -> 581
Job 0 Operation 0 on Machine 0 : 630 + 164 -> 794
Job 3 Operation 1 on Machine 1 : 630 + 238 -> 868
Job 4 Operation 1 on Machine 0 : 794 + 216 -> 1010
Job 0 Operation 1 on Machine 1 : 868 + 65 -> 933
Makespan: 1010.0, as it is the maximum end completion time of Operation 1 |
5 | 5 | Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 146 mins.
Operation 1 on Machine 2 duration 134 mins.
Operation 2 on Machine 4 duration 347 mins.
Operation 3 on Machine 1 duration 110 mins.
Operation 4 on Machine 0 duration 229 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 87 mins.
Operation 1 on Machine 1 duration 6 mins.
Operation 2 on Machine 4 duration 177 mins.
Operation 3 on Machine 3 duration 129 mins.
Operation 4 on Machine 0 duration 251 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 111 mins.
Operation 1 on Machine 4 duration 367 mins.
Operation 2 on Machine 2 duration 48 mins.
Operation 3 on Machine 1 duration 246 mins.
Operation 4 on Machine 0 duration 95 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 301 mins.
Operation 1 on Machine 0 duration 66 mins.
Operation 2 on Machine 1 duration 95 mins.
Operation 3 on Machine 2 duration 267 mins.
Operation 4 on Machine 4 duration 247 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 97 mins.
Operation 1 on Machine 0 duration 90 mins.
Operation 2 on Machine 4 duration 287 mins.
Operation 3 on Machine 2 duration 333 mins.
Operation 4 on Machine 3 duration 368 mins.
| Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 1 duration 66 mins.
Job 4 Operation 1 duration 90 mins.
Job 0 Operation 4 duration 229 mins.
Job 1 Operation 4 duration 251 mins.
Job 2 Operation 4 duration 95 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 97 mins.
Job 1 Operation 1 duration 6 mins.
Job 3 Operation 2 duration 95 mins.
Job 0 Operation 3 duration 110 mins.
Job 2 Operation 3 duration 246 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 87 mins.
Job 0 Operation 1 duration 134 mins.
Job 2 Operation 2 duration 48 mins.
Job 3 Operation 3 duration 267 mins.
Job 4 Operation 3 duration 333 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 146 mins.
Job 2 Operation 0 duration 111 mins.
Job 3 Operation 0 duration 301 mins.
Job 1 Operation 3 duration 129 mins.
Job 4 Operation 4 duration 368 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 1 duration 367 mins.
Job 0 Operation 2 duration 347 mins.
Job 1 Operation 2 duration 177 mins.
Job 4 Operation 2 duration 287 mins.
Job 3 Operation 4 duration 247 mins.
| Solution:
Job 4 Operation 0 on Machine 1 : 0 + 97 -> 97
Job 1 Operation 0 on Machine 2 : 0 + 87 -> 87
Job 0 Operation 0 on Machine 3 : 0 + 146 -> 146
Job 4 Operation 1 on Machine 0 : 97 + 90 -> 187
Job 1 Operation 1 on Machine 1 : 97 + 6 -> 103
Job 1 Operation 2 on Machine 4 : 103 + 177 -> 280
Job 0 Operation 1 on Machine 2 : 146 + 134 -> 280
Job 2 Operation 0 on Machine 3 : 146 + 111 -> 257
Job 1 Operation 3 on Machine 3 : 280 + 129 -> 409
Job 4 Operation 2 on Machine 4 : 280 + 287 -> 567
Job 1 Operation 4 on Machine 0 : 409 + 251 -> 660
Job 3 Operation 0 on Machine 3 : 409 + 301 -> 710
Job 4 Operation 3 on Machine 2 : 567 + 333 -> 900
Job 2 Operation 1 on Machine 4 : 567 + 367 -> 934
Job 3 Operation 1 on Machine 0 : 710 + 66 -> 776
Job 3 Operation 2 on Machine 1 : 776 + 95 -> 871
Job 4 Operation 4 on Machine 3 : 900 + 368 -> 1268
Job 2 Operation 2 on Machine 2 : 934 + 48 -> 982
Job 0 Operation 2 on Machine 4 : 934 + 347 -> 1281
Job 2 Operation 3 on Machine 1 : 982 + 246 -> 1228
Job 3 Operation 3 on Machine 2 : 982 + 267 -> 1249
Job 2 Operation 4 on Machine 0 : 1228 + 95 -> 1323
Job 0 Operation 3 on Machine 1 : 1281 + 110 -> 1391
Job 3 Operation 4 on Machine 4 : 1281 + 247 -> 1528
Job 0 Operation 4 on Machine 0 : 1391 + 229 -> 1620
Makespan: 1620.0, as it is the maximum end completion time of Operation 4 |
5 | 5 | Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 278 mins.
Operation 1 on Machine 4 duration 314 mins.
Operation 2 on Machine 1 duration 265 mins.
Operation 3 on Machine 3 duration 105 mins.
Operation 4 on Machine 2 duration 173 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 256 mins.
Operation 1 on Machine 4 duration 328 mins.
Operation 2 on Machine 3 duration 279 mins.
Operation 3 on Machine 2 duration 36 mins.
Operation 4 on Machine 1 duration 12 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 200 mins.
Operation 1 on Machine 2 duration 128 mins.
Operation 2 on Machine 3 duration 169 mins.
Operation 3 on Machine 4 duration 62 mins.
Operation 4 on Machine 0 duration 3 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 315 mins.
Operation 1 on Machine 1 duration 227 mins.
Operation 2 on Machine 0 duration 11 mins.
Operation 3 on Machine 3 duration 233 mins.
Operation 4 on Machine 2 duration 142 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 236 mins.
Operation 1 on Machine 3 duration 181 mins.
Operation 2 on Machine 4 duration 248 mins.
Operation 3 on Machine 1 duration 128 mins.
Operation 4 on Machine 2 duration 251 mins.
| Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 278 mins.
Job 1 Operation 0 duration 256 mins.
Job 4 Operation 0 duration 236 mins.
Job 3 Operation 2 duration 11 mins.
Job 2 Operation 4 duration 3 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 200 mins.
Job 3 Operation 1 duration 227 mins.
Job 0 Operation 2 duration 265 mins.
Job 4 Operation 3 duration 128 mins.
Job 1 Operation 4 duration 12 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 1 duration 128 mins.
Job 1 Operation 3 duration 36 mins.
Job 0 Operation 4 duration 173 mins.
Job 3 Operation 4 duration 142 mins.
Job 4 Operation 4 duration 251 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 1 duration 181 mins.
Job 1 Operation 2 duration 279 mins.
Job 2 Operation 2 duration 169 mins.
Job 0 Operation 3 duration 105 mins.
Job 3 Operation 3 duration 233 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 315 mins.
Job 0 Operation 1 duration 314 mins.
Job 1 Operation 1 duration 328 mins.
Job 4 Operation 2 duration 248 mins.
Job 2 Operation 3 duration 62 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 278 -> 278
Job 2 Operation 0 on Machine 1 : 0 + 200 -> 200
Job 3 Operation 0 on Machine 4 : 0 + 315 -> 315
Job 2 Operation 1 on Machine 2 : 200 + 128 -> 328
Job 4 Operation 0 on Machine 0 : 278 + 236 -> 514
Job 3 Operation 1 on Machine 1 : 315 + 227 -> 542
Job 0 Operation 1 on Machine 4 : 315 + 314 -> 629
Job 2 Operation 2 on Machine 3 : 328 + 169 -> 497
Job 4 Operation 1 on Machine 3 : 514 + 181 -> 695
Job 3 Operation 2 on Machine 0 : 542 + 11 -> 553
Job 1 Operation 0 on Machine 0 : 553 + 256 -> 809
Job 0 Operation 2 on Machine 1 : 629 + 265 -> 894
Job 3 Operation 3 on Machine 3 : 695 + 233 -> 928
Job 4 Operation 2 on Machine 4 : 695 + 248 -> 943
Job 3 Operation 4 on Machine 2 : 928 + 142 -> 1070
Job 0 Operation 3 on Machine 3 : 928 + 105 -> 1033
Job 4 Operation 3 on Machine 1 : 943 + 128 -> 1071
Job 1 Operation 1 on Machine 4 : 943 + 328 -> 1271
Job 0 Operation 4 on Machine 2 : 1070 + 173 -> 1243
Job 4 Operation 4 on Machine 2 : 1243 + 251 -> 1494
Job 1 Operation 2 on Machine 3 : 1271 + 279 -> 1550
Job 2 Operation 3 on Machine 4 : 1271 + 62 -> 1333
Job 2 Operation 4 on Machine 0 : 1333 + 3 -> 1336
Job 1 Operation 3 on Machine 2 : 1550 + 36 -> 1586
Job 1 Operation 4 on Machine 1 : 1586 + 12 -> 1598
Makespan: 1598.0, as it is the maximum end completion time of Operation 4 |
7 | 3 | Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 209 mins.
Operation 1 on Machine 0 duration 250 mins.
Operation 2 on Machine 1 duration 290 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 153 mins.
Operation 1 on Machine 0 duration 128 mins.
Operation 2 on Machine 2 duration 203 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 270 mins.
Operation 1 on Machine 2 duration 228 mins.
Operation 2 on Machine 0 duration 182 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 238 mins.
Operation 1 on Machine 0 duration 28 mins.
Operation 2 on Machine 1 duration 146 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 199 mins.
Operation 1 on Machine 2 duration 67 mins.
Operation 2 on Machine 0 duration 183 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 59 mins.
Operation 1 on Machine 0 duration 29 mins.
Operation 2 on Machine 2 duration 231 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 321 mins.
Operation 1 on Machine 2 duration 343 mins.
Operation 2 on Machine 0 duration 232 mins.
| Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 250 mins.
Job 1 Operation 1 duration 128 mins.
Job 3 Operation 1 duration 28 mins.
Job 5 Operation 1 duration 29 mins.
Job 2 Operation 2 duration 182 mins.
Job 4 Operation 2 duration 183 mins.
Job 6 Operation 2 duration 232 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 153 mins.
Job 2 Operation 0 duration 270 mins.
Job 4 Operation 0 duration 199 mins.
Job 5 Operation 0 duration 59 mins.
Job 6 Operation 0 duration 321 mins.
Job 0 Operation 2 duration 290 mins.
Job 3 Operation 2 duration 146 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 209 mins.
Job 3 Operation 0 duration 238 mins.
Job 2 Operation 1 duration 228 mins.
Job 4 Operation 1 duration 67 mins.
Job 6 Operation 1 duration 343 mins.
Job 1 Operation 2 duration 203 mins.
Job 5 Operation 2 duration 231 mins.
| Solution:
Job 5 Operation 0 on Machine 1 : 0 + 59 -> 59
Job 3 Operation 0 on Machine 2 : 0 + 238 -> 238
Job 5 Operation 1 on Machine 0 : 59 + 29 -> 88
Job 4 Operation 0 on Machine 1 : 59 + 199 -> 258
Job 3 Operation 1 on Machine 0 : 238 + 28 -> 266
Job 0 Operation 0 on Machine 2 : 238 + 209 -> 447
Job 1 Operation 0 on Machine 1 : 258 + 153 -> 411
Job 6 Operation 0 on Machine 1 : 411 + 321 -> 732
Job 0 Operation 1 on Machine 0 : 447 + 250 -> 697
Job 4 Operation 1 on Machine 2 : 447 + 67 -> 514
Job 5 Operation 2 on Machine 2 : 514 + 231 -> 745
Job 1 Operation 1 on Machine 0 : 697 + 128 -> 825
Job 2 Operation 0 on Machine 1 : 732 + 270 -> 1002
Job 6 Operation 1 on Machine 2 : 745 + 343 -> 1088
Job 4 Operation 2 on Machine 0 : 825 + 183 -> 1008
Job 0 Operation 2 on Machine 1 : 1002 + 290 -> 1292
Job 6 Operation 2 on Machine 0 : 1088 + 232 -> 1320
Job 2 Operation 1 on Machine 2 : 1088 + 228 -> 1316
Job 3 Operation 2 on Machine 1 : 1292 + 146 -> 1438
Job 1 Operation 2 on Machine 2 : 1316 + 203 -> 1519
Job 2 Operation 2 on Machine 0 : 1320 + 182 -> 1502
Makespan: 1519.0, as it is the maximum end completion time of Operation 2 |
10 | 7 | Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 72 mins.
Operation 1 on Machine 5 duration 115 mins.
Operation 2 on Machine 1 duration 166 mins.
Operation 3 on Machine 3 duration 234 mins.
Operation 4 on Machine 4 duration 153 mins.
Operation 5 on Machine 2 duration 2 mins.
Operation 6 on Machine 0 duration 220 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 156 mins.
Operation 1 on Machine 4 duration 70 mins.
Operation 2 on Machine 1 duration 190 mins.
Operation 3 on Machine 3 duration 108 mins.
Operation 4 on Machine 2 duration 82 mins.
Operation 5 on Machine 0 duration 69 mins.
Operation 6 on Machine 6 duration 233 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 46 mins.
Operation 1 on Machine 5 duration 178 mins.
Operation 2 on Machine 2 duration 63 mins.
Operation 3 on Machine 1 duration 162 mins.
Operation 4 on Machine 6 duration 87 mins.
Operation 5 on Machine 4 duration 118 mins.
Operation 6 on Machine 0 duration 104 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 91 mins.
Operation 1 on Machine 3 duration 203 mins.
Operation 2 on Machine 6 duration 57 mins.
Operation 3 on Machine 0 duration 199 mins.
Operation 4 on Machine 1 duration 137 mins.
Operation 5 on Machine 2 duration 155 mins.
Operation 6 on Machine 4 duration 51 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 73 mins.
Operation 1 on Machine 4 duration 109 mins.
Operation 2 on Machine 0 duration 98 mins.
Operation 3 on Machine 3 duration 66 mins.
Operation 4 on Machine 2 duration 149 mins.
Operation 5 on Machine 1 duration 135 mins.
Operation 6 on Machine 6 duration 222 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 152 mins.
Operation 1 on Machine 3 duration 105 mins.
Operation 2 on Machine 2 duration 212 mins.
Operation 3 on Machine 6 duration 56 mins.
Operation 4 on Machine 4 duration 88 mins.
Operation 5 on Machine 0 duration 153 mins.
Operation 6 on Machine 1 duration 83 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 201 mins.
Operation 1 on Machine 6 duration 211 mins.
Operation 2 on Machine 2 duration 38 mins.
Operation 3 on Machine 3 duration 152 mins.
Operation 4 on Machine 0 duration 14 mins.
Operation 5 on Machine 4 duration 87 mins.
Operation 6 on Machine 1 duration 240 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 160 mins.
Operation 1 on Machine 5 duration 177 mins.
Operation 2 on Machine 4 duration 76 mins.
Operation 3 on Machine 6 duration 137 mins.
Operation 4 on Machine 2 duration 248 mins.
Operation 5 on Machine 0 duration 212 mins.
Operation 6 on Machine 1 duration 82 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 80 mins.
Operation 1 on Machine 5 duration 230 mins.
Operation 2 on Machine 2 duration 104 mins.
Operation 3 on Machine 6 duration 122 mins.
Operation 4 on Machine 3 duration 7 mins.
Operation 5 on Machine 1 duration 9 mins.
Operation 6 on Machine 0 duration 154 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 140 mins.
Operation 1 on Machine 0 duration 76 mins.
Operation 2 on Machine 2 duration 105 mins.
Operation 3 on Machine 6 duration 154 mins.
Operation 4 on Machine 1 duration 25 mins.
Operation 5 on Machine 5 duration 93 mins.
Operation 6 on Machine 4 duration 54 mins.
| Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 9 Operation 1 duration 76 mins.
Job 4 Operation 2 duration 98 mins.
Job 3 Operation 3 duration 199 mins.
Job 6 Operation 4 duration 14 mins.
Job 1 Operation 5 duration 69 mins.
Job 5 Operation 5 duration 153 mins.
Job 7 Operation 5 duration 212 mins.
Job 0 Operation 6 duration 220 mins.
Job 2 Operation 6 duration 104 mins.
Job 8 Operation 6 duration 154 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 2 duration 166 mins.
Job 1 Operation 2 duration 190 mins.
Job 2 Operation 3 duration 162 mins.
Job 3 Operation 4 duration 137 mins.
Job 9 Operation 4 duration 25 mins.
Job 4 Operation 5 duration 135 mins.
Job 8 Operation 5 duration 9 mins.
Job 5 Operation 6 duration 83 mins.
Job 6 Operation 6 duration 240 mins.
Job 7 Operation 6 duration 82 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 2 duration 63 mins.
Job 5 Operation 2 duration 212 mins.
Job 6 Operation 2 duration 38 mins.
Job 8 Operation 2 duration 104 mins.
Job 9 Operation 2 duration 105 mins.
Job 1 Operation 4 duration 82 mins.
Job 4 Operation 4 duration 149 mins.
Job 7 Operation 4 duration 248 mins.
Job 0 Operation 5 duration 2 mins.
Job 3 Operation 5 duration 155 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 46 mins.
Job 7 Operation 0 duration 160 mins.
Job 9 Operation 0 duration 140 mins.
Job 3 Operation 1 duration 203 mins.
Job 5 Operation 1 duration 105 mins.
Job 0 Operation 3 duration 234 mins.
Job 1 Operation 3 duration 108 mins.
Job 4 Operation 3 duration 66 mins.
Job 6 Operation 3 duration 152 mins.
Job 8 Operation 4 duration 7 mins.
Machine 4 is used for the following Operations:
Job 8 Operation 0 duration 80 mins.
Job 1 Operation 1 duration 70 mins.
Job 4 Operation 1 duration 109 mins.
Job 7 Operation 2 duration 76 mins.
Job 0 Operation 4 duration 153 mins.
Job 5 Operation 4 duration 88 mins.
Job 2 Operation 5 duration 118 mins.
Job 6 Operation 5 duration 87 mins.
Job 3 Operation 6 duration 51 mins.
Job 9 Operation 6 duration 54 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 156 mins.
Job 3 Operation 0 duration 91 mins.
Job 4 Operation 0 duration 73 mins.
Job 5 Operation 0 duration 152 mins.
Job 6 Operation 0 duration 201 mins.
Job 0 Operation 1 duration 115 mins.
Job 2 Operation 1 duration 178 mins.
Job 7 Operation 1 duration 177 mins.
Job 8 Operation 1 duration 230 mins.
Job 9 Operation 5 duration 93 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 72 mins.
Job 6 Operation 1 duration 211 mins.
Job 3 Operation 2 duration 57 mins.
Job 5 Operation 3 duration 56 mins.
Job 7 Operation 3 duration 137 mins.
Job 8 Operation 3 duration 122 mins.
Job 9 Operation 3 duration 154 mins.
Job 2 Operation 4 duration 87 mins.
Job 1 Operation 6 duration 233 mins.
Job 4 Operation 6 duration 222 mins.
| Solution:
Job 7 Operation 0 on Machine 3 : 0 + 160 -> 160
Job 8 Operation 0 on Machine 4 : 0 + 80 -> 80
Job 5 Operation 0 on Machine 5 : 0 + 152 -> 152
Job 0 Operation 0 on Machine 6 : 0 + 72 -> 72
Job 4 Operation 0 on Machine 5 : 152 + 73 -> 225
Job 5 Operation 1 on Machine 3 : 160 + 105 -> 265
Job 4 Operation 1 on Machine 4 : 225 + 109 -> 334
Job 7 Operation 1 on Machine 5 : 225 + 177 -> 402
Job 5 Operation 2 on Machine 2 : 265 + 212 -> 477
Job 9 Operation 0 on Machine 3 : 265 + 140 -> 405
Job 4 Operation 2 on Machine 0 : 334 + 98 -> 432
Job 7 Operation 2 on Machine 4 : 402 + 76 -> 478
Job 0 Operation 1 on Machine 5 : 402 + 115 -> 517
Job 2 Operation 0 on Machine 3 : 405 + 46 -> 451
Job 9 Operation 1 on Machine 0 : 432 + 76 -> 508
Job 4 Operation 3 on Machine 3 : 451 + 66 -> 517
Job 5 Operation 3 on Machine 6 : 477 + 56 -> 533
Job 9 Operation 2 on Machine 2 : 508 + 105 -> 613
Job 0 Operation 2 on Machine 1 : 517 + 166 -> 683
Job 3 Operation 0 on Machine 5 : 517 + 91 -> 608
Job 5 Operation 4 on Machine 4 : 533 + 88 -> 621
Job 7 Operation 3 on Machine 6 : 533 + 137 -> 670
Job 3 Operation 1 on Machine 3 : 608 + 203 -> 811
Job 1 Operation 0 on Machine 5 : 608 + 156 -> 764
Job 4 Operation 4 on Machine 2 : 613 + 149 -> 762
Job 5 Operation 5 on Machine 0 : 621 + 153 -> 774
Job 9 Operation 3 on Machine 6 : 670 + 154 -> 824
Job 4 Operation 5 on Machine 1 : 762 + 135 -> 897
Job 7 Operation 4 on Machine 2 : 762 + 248 -> 1010
Job 1 Operation 1 on Machine 4 : 764 + 70 -> 834
Job 6 Operation 0 on Machine 5 : 764 + 201 -> 965
Job 0 Operation 3 on Machine 3 : 811 + 234 -> 1045
Job 3 Operation 2 on Machine 6 : 824 + 57 -> 881
Job 3 Operation 3 on Machine 0 : 881 + 199 -> 1080
Job 9 Operation 4 on Machine 1 : 897 + 25 -> 922
Job 4 Operation 6 on Machine 6 : 897 + 222 -> 1119
Job 1 Operation 2 on Machine 1 : 922 + 190 -> 1112
Job 2 Operation 1 on Machine 5 : 965 + 178 -> 1143
Job 0 Operation 4 on Machine 4 : 1045 + 153 -> 1198
Job 7 Operation 5 on Machine 0 : 1080 + 212 -> 1292
Job 5 Operation 6 on Machine 1 : 1112 + 83 -> 1195
Job 1 Operation 3 on Machine 3 : 1112 + 108 -> 1220
Job 6 Operation 1 on Machine 6 : 1119 + 211 -> 1330
Job 2 Operation 2 on Machine 2 : 1143 + 63 -> 1206
Job 8 Operation 1 on Machine 5 : 1143 + 230 -> 1373
Job 2 Operation 3 on Machine 1 : 1206 + 162 -> 1368
Job 0 Operation 5 on Machine 2 : 1206 + 2 -> 1208
Job 1 Operation 4 on Machine 2 : 1220 + 82 -> 1302
Job 0 Operation 6 on Machine 0 : 1292 + 220 -> 1512
Job 6 Operation 2 on Machine 2 : 1330 + 38 -> 1368
Job 3 Operation 4 on Machine 1 : 1368 + 137 -> 1505
Job 6 Operation 3 on Machine 3 : 1368 + 152 -> 1520
Job 2 Operation 4 on Machine 6 : 1368 + 87 -> 1455
Job 8 Operation 2 on Machine 2 : 1373 + 104 -> 1477
Job 9 Operation 5 on Machine 5 : 1373 + 93 -> 1466
Job 8 Operation 3 on Machine 6 : 1477 + 122 -> 1599
Job 7 Operation 6 on Machine 1 : 1505 + 82 -> 1587
Job 3 Operation 5 on Machine 2 : 1505 + 155 -> 1660
Job 6 Operation 4 on Machine 0 : 1520 + 14 -> 1534
Job 1 Operation 5 on Machine 0 : 1534 + 69 -> 1603
Job 6 Operation 5 on Machine 4 : 1534 + 87 -> 1621
Job 8 Operation 4 on Machine 3 : 1599 + 7 -> 1606
Job 1 Operation 6 on Machine 6 : 1603 + 233 -> 1836
Job 8 Operation 5 on Machine 1 : 1606 + 9 -> 1615
Job 8 Operation 6 on Machine 0 : 1615 + 154 -> 1769
Job 6 Operation 6 on Machine 1 : 1621 + 240 -> 1861
Job 2 Operation 5 on Machine 4 : 1621 + 118 -> 1739
Job 9 Operation 6 on Machine 4 : 1739 + 54 -> 1793
Job 2 Operation 6 on Machine 0 : 1769 + 104 -> 1873
Job 3 Operation 6 on Machine 4 : 1793 + 51 -> 1844
Makespan: 1873.0, as it is the maximum end completion time of Operation 6 |
10 | 10 | Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 9 duration 197 mins.
Operation 1 on Machine 0 duration 333 mins.
Operation 2 on Machine 4 duration 137 mins.
Operation 3 on Machine 2 duration 37 mins.
Operation 4 on Machine 7 duration 65 mins.
Operation 5 on Machine 1 duration 133 mins.
Operation 6 on Machine 3 duration 101 mins.
Operation 7 on Machine 6 duration 231 mins.
Operation 8 on Machine 5 duration 308 mins.
Operation 9 on Machine 8 duration 222 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 263 mins.
Operation 1 on Machine 0 duration 66 mins.
Operation 2 on Machine 1 duration 86 mins.
Operation 3 on Machine 3 duration 52 mins.
Operation 4 on Machine 9 duration 40 mins.
Operation 5 on Machine 7 duration 30 mins.
Operation 6 on Machine 8 duration 227 mins.
Operation 7 on Machine 6 duration 40 mins.
Operation 8 on Machine 4 duration 137 mins.
Operation 9 on Machine 2 duration 314 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 239 mins.
Operation 1 on Machine 2 duration 350 mins.
Operation 2 on Machine 8 duration 54 mins.
Operation 3 on Machine 4 duration 232 mins.
Operation 4 on Machine 3 duration 259 mins.
Operation 5 on Machine 6 duration 80 mins.
Operation 6 on Machine 9 duration 190 mins.
Operation 7 on Machine 0 duration 62 mins.
Operation 8 on Machine 7 duration 322 mins.
Operation 9 on Machine 1 duration 46 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 78 mins.
Operation 1 on Machine 4 duration 222 mins.
Operation 2 on Machine 7 duration 32 mins.
Operation 3 on Machine 3 duration 157 mins.
Operation 4 on Machine 6 duration 158 mins.
Operation 5 on Machine 8 duration 149 mins.
Operation 6 on Machine 1 duration 11 mins.
Operation 7 on Machine 0 duration 167 mins.
Operation 8 on Machine 9 duration 257 mins.
Operation 9 on Machine 2 duration 10 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 134 mins.
Operation 1 on Machine 2 duration 120 mins.
Operation 2 on Machine 6 duration 329 mins.
Operation 3 on Machine 7 duration 247 mins.
Operation 4 on Machine 8 duration 123 mins.
Operation 5 on Machine 9 duration 318 mins.
Operation 6 on Machine 3 duration 170 mins.
Operation 7 on Machine 5 duration 161 mins.
Operation 8 on Machine 4 duration 352 mins.
Operation 9 on Machine 0 duration 3 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 7 duration 112 mins.
Operation 1 on Machine 1 duration 122 mins.
Operation 2 on Machine 8 duration 175 mins.
Operation 3 on Machine 0 duration 316 mins.
Operation 4 on Machine 5 duration 156 mins.
Operation 5 on Machine 3 duration 196 mins.
Operation 6 on Machine 4 duration 240 mins.
Operation 7 on Machine 9 duration 5 mins.
Operation 8 on Machine 2 duration 219 mins.
Operation 9 on Machine 6 duration 344 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 319 mins.
Operation 1 on Machine 8 duration 37 mins.
Operation 2 on Machine 0 duration 133 mins.
Operation 3 on Machine 2 duration 43 mins.
Operation 4 on Machine 9 duration 102 mins.
Operation 5 on Machine 5 duration 87 mins.
Operation 6 on Machine 7 duration 333 mins.
Operation 7 on Machine 3 duration 270 mins.
Operation 8 on Machine 6 duration 310 mins.
Operation 9 on Machine 4 duration 117 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 87 mins.
Operation 1 on Machine 4 duration 85 mins.
Operation 2 on Machine 5 duration 144 mins.
Operation 3 on Machine 7 duration 198 mins.
Operation 4 on Machine 8 duration 185 mins.
Operation 5 on Machine 9 duration 89 mins.
Operation 6 on Machine 0 duration 6 mins.
Operation 7 on Machine 6 duration 204 mins.
Operation 8 on Machine 3 duration 258 mins.
Operation 9 on Machine 1 duration 120 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 52 mins.
Operation 1 on Machine 1 duration 289 mins.
Operation 2 on Machine 6 duration 117 mins.
Operation 3 on Machine 4 duration 26 mins.
Operation 4 on Machine 0 duration 266 mins.
Operation 5 on Machine 2 duration 54 mins.
Operation 6 on Machine 7 duration 231 mins.
Operation 7 on Machine 9 duration 302 mins.
Operation 8 on Machine 8 duration 121 mins.
Operation 9 on Machine 5 duration 283 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 182 mins.
Operation 1 on Machine 1 duration 350 mins.
Operation 2 on Machine 7 duration 334 mins.
Operation 3 on Machine 0 duration 296 mins.
Operation 4 on Machine 9 duration 83 mins.
Operation 5 on Machine 5 duration 281 mins.
Operation 6 on Machine 2 duration 343 mins.
Operation 7 on Machine 6 duration 345 mins.
Operation 8 on Machine 8 duration 167 mins.
Operation 9 on Machine 4 duration 230 mins.
| Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 333 mins.
Job 1 Operation 1 duration 66 mins.
Job 6 Operation 2 duration 133 mins.
Job 5 Operation 3 duration 316 mins.
Job 9 Operation 3 duration 296 mins.
Job 8 Operation 4 duration 266 mins.
Job 7 Operation 6 duration 6 mins.
Job 2 Operation 7 duration 62 mins.
Job 3 Operation 7 duration 167 mins.
Job 4 Operation 9 duration 3 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 134 mins.
Job 6 Operation 0 duration 319 mins.
Job 5 Operation 1 duration 122 mins.
Job 8 Operation 1 duration 289 mins.
Job 9 Operation 1 duration 350 mins.
Job 1 Operation 2 duration 86 mins.
Job 0 Operation 5 duration 133 mins.
Job 3 Operation 6 duration 11 mins.
Job 2 Operation 9 duration 46 mins.
Job 7 Operation 9 duration 120 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 87 mins.
Job 2 Operation 1 duration 350 mins.
Job 4 Operation 1 duration 120 mins.
Job 0 Operation 3 duration 37 mins.
Job 6 Operation 3 duration 43 mins.
Job 8 Operation 5 duration 54 mins.
Job 9 Operation 6 duration 343 mins.
Job 5 Operation 8 duration 219 mins.
Job 1 Operation 9 duration 314 mins.
Job 3 Operation 9 duration 10 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 0 duration 52 mins.
Job 9 Operation 0 duration 182 mins.
Job 1 Operation 3 duration 52 mins.
Job 3 Operation 3 duration 157 mins.
Job 2 Operation 4 duration 259 mins.
Job 5 Operation 5 duration 196 mins.
Job 0 Operation 6 duration 101 mins.
Job 4 Operation 6 duration 170 mins.
Job 6 Operation 7 duration 270 mins.
Job 7 Operation 8 duration 258 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 1 duration 222 mins.
Job 7 Operation 1 duration 85 mins.
Job 0 Operation 2 duration 137 mins.
Job 2 Operation 3 duration 232 mins.
Job 8 Operation 3 duration 26 mins.
Job 5 Operation 6 duration 240 mins.
Job 1 Operation 8 duration 137 mins.
Job 4 Operation 8 duration 352 mins.
Job 6 Operation 9 duration 117 mins.
Job 9 Operation 9 duration 230 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 263 mins.
Job 2 Operation 0 duration 239 mins.
Job 3 Operation 0 duration 78 mins.
Job 7 Operation 2 duration 144 mins.
Job 5 Operation 4 duration 156 mins.
Job 6 Operation 5 duration 87 mins.
Job 9 Operation 5 duration 281 mins.
Job 4 Operation 7 duration 161 mins.
Job 0 Operation 8 duration 308 mins.
Job 8 Operation 9 duration 283 mins.
Machine 6 is used for the following Operations:
Job 4 Operation 2 duration 329 mins.
Job 8 Operation 2 duration 117 mins.
Job 3 Operation 4 duration 158 mins.
Job 2 Operation 5 duration 80 mins.
Job 0 Operation 7 duration 231 mins.
Job 1 Operation 7 duration 40 mins.
Job 7 Operation 7 duration 204 mins.
Job 9 Operation 7 duration 345 mins.
Job 6 Operation 8 duration 310 mins.
Job 5 Operation 9 duration 344 mins.
Machine 7 is used for the following Operations:
Job 5 Operation 0 duration 112 mins.
Job 3 Operation 2 duration 32 mins.
Job 9 Operation 2 duration 334 mins.
Job 4 Operation 3 duration 247 mins.
Job 7 Operation 3 duration 198 mins.
Job 0 Operation 4 duration 65 mins.
Job 1 Operation 5 duration 30 mins.
Job 6 Operation 6 duration 333 mins.
Job 8 Operation 6 duration 231 mins.
Job 2 Operation 8 duration 322 mins.
Machine 8 is used for the following Operations:
Job 6 Operation 1 duration 37 mins.
Job 2 Operation 2 duration 54 mins.
Job 5 Operation 2 duration 175 mins.
Job 4 Operation 4 duration 123 mins.
Job 7 Operation 4 duration 185 mins.
Job 3 Operation 5 duration 149 mins.
Job 1 Operation 6 duration 227 mins.
Job 8 Operation 8 duration 121 mins.
Job 9 Operation 8 duration 167 mins.
Job 0 Operation 9 duration 222 mins.
Machine 9 is used for the following Operations:
Job 0 Operation 0 duration 197 mins.
Job 1 Operation 4 duration 40 mins.
Job 6 Operation 4 duration 102 mins.
Job 9 Operation 4 duration 83 mins.
Job 4 Operation 5 duration 318 mins.
Job 7 Operation 5 duration 89 mins.
Job 2 Operation 6 duration 190 mins.
Job 5 Operation 7 duration 5 mins.
Job 8 Operation 7 duration 302 mins.
Job 3 Operation 8 duration 257 mins.
| Solution:
Job 4 Operation 0 on Machine 1 : 0 + 134 -> 134
Job 7 Operation 0 on Machine 2 : 0 + 87 -> 87
Job 8 Operation 0 on Machine 3 : 0 + 52 -> 52
Job 2 Operation 0 on Machine 5 : 0 + 239 -> 239
Job 5 Operation 0 on Machine 7 : 0 + 112 -> 112
Job 0 Operation 0 on Machine 9 : 0 + 197 -> 197
Job 9 Operation 0 on Machine 3 : 52 + 182 -> 234
Job 7 Operation 1 on Machine 4 : 87 + 85 -> 172
Job 5 Operation 1 on Machine 1 : 134 + 122 -> 256
Job 4 Operation 1 on Machine 2 : 134 + 120 -> 254
Job 0 Operation 1 on Machine 0 : 197 + 333 -> 530
Job 7 Operation 2 on Machine 5 : 239 + 144 -> 383
Job 2 Operation 1 on Machine 2 : 254 + 350 -> 604
Job 4 Operation 2 on Machine 6 : 254 + 329 -> 583
Job 9 Operation 1 on Machine 1 : 256 + 350 -> 606
Job 5 Operation 2 on Machine 8 : 256 + 175 -> 431
Job 3 Operation 0 on Machine 5 : 383 + 78 -> 461
Job 7 Operation 3 on Machine 7 : 383 + 198 -> 581
Job 3 Operation 1 on Machine 4 : 461 + 222 -> 683
Job 1 Operation 0 on Machine 5 : 461 + 263 -> 724
Job 5 Operation 3 on Machine 0 : 530 + 316 -> 846
Job 2 Operation 2 on Machine 8 : 604 + 54 -> 658
Job 8 Operation 1 on Machine 1 : 606 + 289 -> 895
Job 9 Operation 2 on Machine 7 : 606 + 334 -> 940
Job 7 Operation 4 on Machine 8 : 658 + 185 -> 843
Job 2 Operation 3 on Machine 4 : 683 + 232 -> 915
Job 7 Operation 5 on Machine 9 : 843 + 89 -> 932
Job 1 Operation 1 on Machine 0 : 846 + 66 -> 912
Job 5 Operation 4 on Machine 5 : 846 + 156 -> 1002
Job 6 Operation 0 on Machine 1 : 895 + 319 -> 1214
Job 8 Operation 2 on Machine 6 : 895 + 117 -> 1012
Job 2 Operation 4 on Machine 3 : 915 + 259 -> 1174
Job 0 Operation 2 on Machine 4 : 915 + 137 -> 1052
Job 9 Operation 3 on Machine 0 : 940 + 296 -> 1236
Job 3 Operation 2 on Machine 7 : 940 + 32 -> 972
Job 4 Operation 3 on Machine 7 : 972 + 247 -> 1219
Job 0 Operation 3 on Machine 2 : 1052 + 37 -> 1089
Job 8 Operation 3 on Machine 4 : 1052 + 26 -> 1078
Job 3 Operation 3 on Machine 3 : 1174 + 157 -> 1331
Job 1 Operation 2 on Machine 1 : 1214 + 86 -> 1300
Job 6 Operation 1 on Machine 8 : 1214 + 37 -> 1251
Job 0 Operation 4 on Machine 7 : 1219 + 65 -> 1284
Job 7 Operation 6 on Machine 0 : 1236 + 6 -> 1242
Job 9 Operation 4 on Machine 9 : 1236 + 83 -> 1319
Job 7 Operation 7 on Machine 6 : 1242 + 204 -> 1446
Job 6 Operation 2 on Machine 0 : 1251 + 133 -> 1384
Job 4 Operation 4 on Machine 8 : 1251 + 123 -> 1374
Job 0 Operation 5 on Machine 1 : 1300 + 133 -> 1433
Job 9 Operation 5 on Machine 5 : 1319 + 281 -> 1600
Job 1 Operation 3 on Machine 3 : 1331 + 52 -> 1383
Job 5 Operation 5 on Machine 3 : 1383 + 196 -> 1579
Job 1 Operation 4 on Machine 9 : 1383 + 40 -> 1423
Job 8 Operation 4 on Machine 0 : 1384 + 266 -> 1650
Job 6 Operation 3 on Machine 2 : 1384 + 43 -> 1427
Job 1 Operation 5 on Machine 7 : 1423 + 30 -> 1453
Job 6 Operation 4 on Machine 9 : 1427 + 102 -> 1529
Job 3 Operation 4 on Machine 6 : 1446 + 158 -> 1604
Job 1 Operation 6 on Machine 8 : 1453 + 227 -> 1680
Job 4 Operation 5 on Machine 9 : 1529 + 318 -> 1847
Job 0 Operation 6 on Machine 3 : 1579 + 101 -> 1680
Job 5 Operation 6 on Machine 4 : 1579 + 240 -> 1819
Job 9 Operation 6 on Machine 2 : 1600 + 343 -> 1943
Job 6 Operation 5 on Machine 5 : 1600 + 87 -> 1687
Job 2 Operation 5 on Machine 6 : 1604 + 80 -> 1684
Job 3 Operation 5 on Machine 8 : 1680 + 149 -> 1829
Job 0 Operation 7 on Machine 6 : 1684 + 231 -> 1915
Job 6 Operation 6 on Machine 7 : 1687 + 333 -> 2020
Job 3 Operation 6 on Machine 1 : 1829 + 11 -> 1840
Job 3 Operation 7 on Machine 0 : 1840 + 167 -> 2007
Job 4 Operation 6 on Machine 3 : 1847 + 170 -> 2017
Job 5 Operation 7 on Machine 9 : 1847 + 5 -> 1852
Job 2 Operation 6 on Machine 9 : 1852 + 190 -> 2042
Job 1 Operation 7 on Machine 6 : 1915 + 40 -> 1955
Job 8 Operation 5 on Machine 2 : 1943 + 54 -> 1997
Job 1 Operation 8 on Machine 4 : 1955 + 137 -> 2092
Job 9 Operation 7 on Machine 6 : 1955 + 345 -> 2300
Job 5 Operation 8 on Machine 2 : 1997 + 219 -> 2216
Job 4 Operation 7 on Machine 5 : 2017 + 161 -> 2178
Job 6 Operation 7 on Machine 3 : 2020 + 270 -> 2290
Job 8 Operation 6 on Machine 7 : 2020 + 231 -> 2251
Job 2 Operation 7 on Machine 0 : 2042 + 62 -> 2104
Job 4 Operation 8 on Machine 4 : 2178 + 352 -> 2530
Job 0 Operation 8 on Machine 5 : 2178 + 308 -> 2486
Job 1 Operation 9 on Machine 2 : 2216 + 314 -> 2530
Job 2 Operation 8 on Machine 7 : 2251 + 322 -> 2573
Job 8 Operation 7 on Machine 9 : 2251 + 302 -> 2553
Job 7 Operation 8 on Machine 3 : 2290 + 258 -> 2548
Job 6 Operation 8 on Machine 6 : 2300 + 310 -> 2610
Job 9 Operation 8 on Machine 8 : 2300 + 167 -> 2467
Job 4 Operation 9 on Machine 0 : 2530 + 3 -> 2533
Job 9 Operation 9 on Machine 4 : 2530 + 230 -> 2760
Job 7 Operation 9 on Machine 1 : 2548 + 120 -> 2668
Job 8 Operation 8 on Machine 8 : 2553 + 121 -> 2674
Job 3 Operation 8 on Machine 9 : 2553 + 257 -> 2810
Job 5 Operation 9 on Machine 6 : 2610 + 344 -> 2954
Job 2 Operation 9 on Machine 1 : 2668 + 46 -> 2714
Job 8 Operation 9 on Machine 5 : 2674 + 283 -> 2957
Job 0 Operation 9 on Machine 8 : 2674 + 222 -> 2896
Job 6 Operation 9 on Machine 4 : 2760 + 117 -> 2877
Job 3 Operation 9 on Machine 2 : 2810 + 10 -> 2820
Makespan: 2957.0, as it is the maximum end completion time of Operation 9 |
9 | 4 | Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 15 mins.
Operation 1 on Machine 3 duration 14 mins.
Operation 2 on Machine 2 duration 11 mins.
Operation 3 on Machine 1 duration 2 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 8 mins.
Operation 1 on Machine 3 duration 21 mins.
Operation 2 on Machine 0 duration 9 mins.
Operation 3 on Machine 1 duration 1 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 19 mins.
Operation 1 on Machine 1 duration 21 mins.
Operation 2 on Machine 3 duration 11 mins.
Operation 3 on Machine 2 duration 17 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 9 mins.
Operation 1 on Machine 1 duration 24 mins.
Operation 2 on Machine 3 duration 3 mins.
Operation 3 on Machine 2 duration 29 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 1 duration 13 mins.
Operation 2 on Machine 0 duration 10 mins.
Operation 3 on Machine 3 duration 1 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 25 mins.
Operation 1 on Machine 0 duration 19 mins.
Operation 2 on Machine 1 duration 4 mins.
Operation 3 on Machine 2 duration 16 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 29 mins.
Operation 1 on Machine 0 duration 7 mins.
Operation 2 on Machine 2 duration 6 mins.
Operation 3 on Machine 3 duration 3 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 7 mins.
Operation 1 on Machine 3 duration 22 mins.
Operation 2 on Machine 1 duration 25 mins.
Operation 3 on Machine 0 duration 18 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 26 mins.
Operation 1 on Machine 3 duration 11 mins.
Operation 2 on Machine 2 duration 6 mins.
Operation 3 on Machine 1 duration 20 mins.
| Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 15 mins.
Job 2 Operation 0 duration 19 mins.
Job 3 Operation 0 duration 9 mins.
Job 8 Operation 0 duration 26 mins.
Job 5 Operation 1 duration 19 mins.
Job 6 Operation 1 duration 7 mins.
Job 1 Operation 2 duration 9 mins.
Job 4 Operation 2 duration 10 mins.
Job 7 Operation 3 duration 18 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 29 mins.
Job 2 Operation 1 duration 21 mins.
Job 3 Operation 1 duration 24 mins.
Job 4 Operation 1 duration 13 mins.
Job 5 Operation 2 duration 4 mins.
Job 7 Operation 2 duration 25 mins.
Job 0 Operation 3 duration 2 mins.
Job 1 Operation 3 duration 1 mins.
Job 8 Operation 3 duration 20 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 8 mins.
Job 4 Operation 0 duration 4 mins.
Job 7 Operation 0 duration 7 mins.
Job 0 Operation 2 duration 11 mins.
Job 6 Operation 2 duration 6 mins.
Job 8 Operation 2 duration 6 mins.
Job 2 Operation 3 duration 17 mins.
Job 3 Operation 3 duration 29 mins.
Job 5 Operation 3 duration 16 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 25 mins.
Job 0 Operation 1 duration 14 mins.
Job 1 Operation 1 duration 21 mins.
Job 7 Operation 1 duration 22 mins.
Job 8 Operation 1 duration 11 mins.
Job 2 Operation 2 duration 11 mins.
Job 3 Operation 2 duration 3 mins.
Job 4 Operation 3 duration 1 mins.
Job 6 Operation 3 duration 3 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 9 -> 9
Job 6 Operation 0 on Machine 1 : 0 + 29 -> 29
Job 4 Operation 0 on Machine 2 : 0 + 4 -> 4
Job 5 Operation 0 on Machine 3 : 0 + 25 -> 25
Job 7 Operation 0 on Machine 2 : 4 + 7 -> 11
Job 2 Operation 0 on Machine 0 : 9 + 19 -> 28
Job 1 Operation 0 on Machine 2 : 11 + 8 -> 19
Job 7 Operation 1 on Machine 3 : 25 + 22 -> 47
Job 5 Operation 1 on Machine 0 : 28 + 19 -> 47
Job 2 Operation 1 on Machine 1 : 29 + 21 -> 50
Job 0 Operation 0 on Machine 0 : 47 + 15 -> 62
Job 5 Operation 2 on Machine 1 : 50 + 4 -> 54
Job 2 Operation 2 on Machine 3 : 50 + 11 -> 61
Job 7 Operation 2 on Machine 1 : 54 + 25 -> 79
Job 5 Operation 3 on Machine 2 : 54 + 16 -> 70
Job 8 Operation 0 on Machine 0 : 62 + 26 -> 88
Job 0 Operation 1 on Machine 3 : 62 + 14 -> 76
Job 2 Operation 3 on Machine 2 : 70 + 17 -> 87
Job 3 Operation 1 on Machine 1 : 79 + 24 -> 103
Job 0 Operation 2 on Machine 2 : 87 + 11 -> 98
Job 6 Operation 1 on Machine 0 : 88 + 7 -> 95
Job 8 Operation 1 on Machine 3 : 88 + 11 -> 99
Job 7 Operation 3 on Machine 0 : 95 + 18 -> 113
Job 6 Operation 2 on Machine 2 : 98 + 6 -> 104
Job 4 Operation 1 on Machine 1 : 103 + 13 -> 116
Job 3 Operation 2 on Machine 3 : 103 + 3 -> 106
Job 8 Operation 2 on Machine 2 : 104 + 6 -> 110
Job 1 Operation 1 on Machine 3 : 106 + 21 -> 127
Job 3 Operation 3 on Machine 2 : 110 + 29 -> 139
Job 4 Operation 2 on Machine 0 : 116 + 10 -> 126
Job 8 Operation 3 on Machine 1 : 116 + 20 -> 136
Job 1 Operation 2 on Machine 0 : 127 + 9 -> 136
Job 6 Operation 3 on Machine 3 : 127 + 3 -> 130
Job 4 Operation 3 on Machine 3 : 130 + 1 -> 131
Job 0 Operation 3 on Machine 1 : 136 + 2 -> 138
Job 1 Operation 3 on Machine 1 : 138 + 1 -> 139
Makespan: 139.0, as it is the maximum end completion time of Operation 3 |
9 | 8 | Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 81 mins.
Operation 1 on Machine 6 duration 62 mins.
Operation 2 on Machine 7 duration 29 mins.
Operation 3 on Machine 0 duration 41 mins.
Operation 4 on Machine 3 duration 10 mins.
Operation 5 on Machine 2 duration 33 mins.
Operation 6 on Machine 5 duration 100 mins.
Operation 7 on Machine 4 duration 56 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 83 mins.
Operation 1 on Machine 4 duration 51 mins.
Operation 2 on Machine 2 duration 112 mins.
Operation 3 on Machine 1 duration 28 mins.
Operation 4 on Machine 5 duration 92 mins.
Operation 5 on Machine 3 duration 71 mins.
Operation 6 on Machine 6 duration 27 mins.
Operation 7 on Machine 0 duration 22 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 94 mins.
Operation 1 on Machine 4 duration 18 mins.
Operation 2 on Machine 6 duration 31 mins.
Operation 3 on Machine 7 duration 41 mins.
Operation 4 on Machine 5 duration 80 mins.
Operation 5 on Machine 3 duration 37 mins.
Operation 6 on Machine 1 duration 12 mins.
Operation 7 on Machine 0 duration 23 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 69 mins.
Operation 1 on Machine 6 duration 95 mins.
Operation 2 on Machine 7 duration 32 mins.
Operation 3 on Machine 0 duration 31 mins.
Operation 4 on Machine 4 duration 33 mins.
Operation 5 on Machine 1 duration 93 mins.
Operation 6 on Machine 2 duration 75 mins.
Operation 7 on Machine 5 duration 8 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 81 mins.
Operation 1 on Machine 6 duration 92 mins.
Operation 2 on Machine 5 duration 45 mins.
Operation 3 on Machine 3 duration 24 mins.
Operation 4 on Machine 4 duration 95 mins.
Operation 5 on Machine 2 duration 52 mins.
Operation 6 on Machine 1 duration 78 mins.
Operation 7 on Machine 0 duration 114 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 75 mins.
Operation 1 on Machine 1 duration 57 mins.
Operation 2 on Machine 6 duration 84 mins.
Operation 3 on Machine 3 duration 55 mins.
Operation 4 on Machine 7 duration 23 mins.
Operation 5 on Machine 5 duration 73 mins.
Operation 6 on Machine 2 duration 76 mins.
Operation 7 on Machine 0 duration 20 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 94 mins.
Operation 1 on Machine 3 duration 113 mins.
Operation 2 on Machine 6 duration 34 mins.
Operation 3 on Machine 5 duration 67 mins.
Operation 4 on Machine 0 duration 66 mins.
Operation 5 on Machine 1 duration 62 mins.
Operation 6 on Machine 4 duration 17 mins.
Operation 7 on Machine 7 duration 13 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 74 mins.
Operation 1 on Machine 2 duration 80 mins.
Operation 2 on Machine 5 duration 2 mins.
Operation 3 on Machine 0 duration 69 mins.
Operation 4 on Machine 6 duration 68 mins.
Operation 5 on Machine 4 duration 77 mins.
Operation 6 on Machine 3 duration 41 mins.
Operation 7 on Machine 7 duration 106 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 7 mins.
Operation 1 on Machine 4 duration 32 mins.
Operation 2 on Machine 1 duration 43 mins.
Operation 3 on Machine 2 duration 57 mins.
Operation 4 on Machine 3 duration 101 mins.
Operation 5 on Machine 0 duration 4 mins.
Operation 6 on Machine 6 duration 70 mins.
Operation 7 on Machine 7 duration 24 mins.
| Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 3 duration 41 mins.
Job 3 Operation 3 duration 31 mins.
Job 7 Operation 3 duration 69 mins.
Job 6 Operation 4 duration 66 mins.
Job 8 Operation 5 duration 4 mins.
Job 1 Operation 7 duration 22 mins.
Job 2 Operation 7 duration 23 mins.
Job 4 Operation 7 duration 114 mins.
Job 5 Operation 7 duration 20 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 81 mins.
Job 7 Operation 0 duration 74 mins.
Job 5 Operation 1 duration 57 mins.
Job 8 Operation 2 duration 43 mins.
Job 1 Operation 3 duration 28 mins.
Job 3 Operation 5 duration 93 mins.
Job 6 Operation 5 duration 62 mins.
Job 2 Operation 6 duration 12 mins.
Job 4 Operation 6 duration 78 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 94 mins.
Job 6 Operation 0 duration 94 mins.
Job 7 Operation 1 duration 80 mins.
Job 1 Operation 2 duration 112 mins.
Job 8 Operation 3 duration 57 mins.
Job 0 Operation 5 duration 33 mins.
Job 4 Operation 5 duration 52 mins.
Job 3 Operation 6 duration 75 mins.
Job 5 Operation 6 duration 76 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 69 mins.
Job 6 Operation 1 duration 113 mins.
Job 4 Operation 3 duration 24 mins.
Job 5 Operation 3 duration 55 mins.
Job 0 Operation 4 duration 10 mins.
Job 8 Operation 4 duration 101 mins.
Job 1 Operation 5 duration 71 mins.
Job 2 Operation 5 duration 37 mins.
Job 7 Operation 6 duration 41 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 75 mins.
Job 1 Operation 1 duration 51 mins.
Job 2 Operation 1 duration 18 mins.
Job 8 Operation 1 duration 32 mins.
Job 3 Operation 4 duration 33 mins.
Job 4 Operation 4 duration 95 mins.
Job 7 Operation 5 duration 77 mins.
Job 6 Operation 6 duration 17 mins.
Job 0 Operation 7 duration 56 mins.
Machine 5 is used for the following Operations:
Job 8 Operation 0 duration 7 mins.
Job 4 Operation 2 duration 45 mins.
Job 7 Operation 2 duration 2 mins.
Job 6 Operation 3 duration 67 mins.
Job 1 Operation 4 duration 92 mins.
Job 2 Operation 4 duration 80 mins.
Job 5 Operation 5 duration 73 mins.
Job 0 Operation 6 duration 100 mins.
Job 3 Operation 7 duration 8 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 1 duration 62 mins.
Job 3 Operation 1 duration 95 mins.
Job 4 Operation 1 duration 92 mins.
Job 2 Operation 2 duration 31 mins.
Job 5 Operation 2 duration 84 mins.
Job 6 Operation 2 duration 34 mins.
Job 7 Operation 4 duration 68 mins.
Job 1 Operation 6 duration 27 mins.
Job 8 Operation 6 duration 70 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 83 mins.
Job 4 Operation 0 duration 81 mins.
Job 0 Operation 2 duration 29 mins.
Job 3 Operation 2 duration 32 mins.
Job 2 Operation 3 duration 41 mins.
Job 5 Operation 4 duration 23 mins.
Job 6 Operation 7 duration 13 mins.
Job 7 Operation 7 duration 106 mins.
Job 8 Operation 7 duration 24 mins.
| Solution:
Job 7 Operation 0 on Machine 1 : 0 + 74 -> 74
Job 6 Operation 0 on Machine 2 : 0 + 94 -> 94
Job 3 Operation 0 on Machine 3 : 0 + 69 -> 69
Job 8 Operation 0 on Machine 5 : 0 + 7 -> 7
Job 1 Operation 0 on Machine 7 : 0 + 83 -> 83
Job 8 Operation 1 on Machine 4 : 7 + 32 -> 39
Job 5 Operation 0 on Machine 4 : 39 + 75 -> 114
Job 3 Operation 1 on Machine 6 : 69 + 95 -> 164
Job 4 Operation 0 on Machine 7 : 83 + 81 -> 164
Job 7 Operation 1 on Machine 2 : 94 + 80 -> 174
Job 6 Operation 1 on Machine 3 : 94 + 113 -> 207
Job 5 Operation 1 on Machine 1 : 114 + 57 -> 171
Job 1 Operation 1 on Machine 4 : 114 + 51 -> 165
Job 4 Operation 1 on Machine 6 : 164 + 92 -> 256
Job 3 Operation 2 on Machine 7 : 164 + 32 -> 196
Job 0 Operation 0 on Machine 1 : 171 + 81 -> 252
Job 1 Operation 2 on Machine 2 : 174 + 112 -> 286
Job 7 Operation 2 on Machine 5 : 174 + 2 -> 176
Job 7 Operation 3 on Machine 0 : 176 + 69 -> 245
Job 8 Operation 2 on Machine 1 : 252 + 43 -> 295
Job 4 Operation 2 on Machine 5 : 256 + 45 -> 301
Job 6 Operation 2 on Machine 6 : 256 + 34 -> 290
Job 2 Operation 0 on Machine 2 : 286 + 94 -> 380
Job 5 Operation 2 on Machine 6 : 290 + 84 -> 374
Job 1 Operation 3 on Machine 1 : 295 + 28 -> 323
Job 4 Operation 3 on Machine 3 : 301 + 24 -> 325
Job 6 Operation 3 on Machine 5 : 301 + 67 -> 368
Job 4 Operation 4 on Machine 4 : 325 + 95 -> 420
Job 6 Operation 4 on Machine 0 : 368 + 66 -> 434
Job 1 Operation 4 on Machine 5 : 368 + 92 -> 460
Job 5 Operation 3 on Machine 3 : 374 + 55 -> 429
Job 0 Operation 1 on Machine 6 : 374 + 62 -> 436
Job 8 Operation 3 on Machine 2 : 380 + 57 -> 437
Job 2 Operation 1 on Machine 4 : 420 + 18 -> 438
Job 5 Operation 4 on Machine 7 : 429 + 23 -> 452
Job 3 Operation 3 on Machine 0 : 434 + 31 -> 465
Job 6 Operation 5 on Machine 1 : 434 + 62 -> 496
Job 4 Operation 5 on Machine 2 : 437 + 52 -> 489
Job 8 Operation 4 on Machine 3 : 437 + 101 -> 538
Job 2 Operation 2 on Machine 6 : 438 + 31 -> 469
Job 0 Operation 2 on Machine 7 : 452 + 29 -> 481
Job 5 Operation 5 on Machine 5 : 460 + 73 -> 533
Job 3 Operation 4 on Machine 4 : 465 + 33 -> 498
Job 7 Operation 4 on Machine 6 : 469 + 68 -> 537
Job 0 Operation 3 on Machine 0 : 481 + 41 -> 522
Job 2 Operation 3 on Machine 7 : 481 + 41 -> 522
Job 4 Operation 6 on Machine 1 : 496 + 78 -> 574
Job 2 Operation 4 on Machine 5 : 533 + 80 -> 613
Job 7 Operation 5 on Machine 4 : 537 + 77 -> 614
Job 8 Operation 5 on Machine 0 : 538 + 4 -> 542
Job 0 Operation 4 on Machine 3 : 538 + 10 -> 548
Job 8 Operation 6 on Machine 6 : 542 + 70 -> 612
Job 0 Operation 5 on Machine 2 : 548 + 33 -> 581
Job 1 Operation 5 on Machine 3 : 548 + 71 -> 619
Job 4 Operation 7 on Machine 0 : 574 + 114 -> 688
Job 3 Operation 5 on Machine 1 : 574 + 93 -> 667
Job 5 Operation 6 on Machine 2 : 581 + 76 -> 657
Job 8 Operation 7 on Machine 7 : 612 + 24 -> 636
Job 0 Operation 6 on Machine 5 : 613 + 100 -> 713
Job 6 Operation 6 on Machine 4 : 614 + 17 -> 631
Job 7 Operation 6 on Machine 3 : 619 + 41 -> 660
Job 1 Operation 6 on Machine 6 : 619 + 27 -> 646
Job 6 Operation 7 on Machine 7 : 636 + 13 -> 649
Job 2 Operation 5 on Machine 3 : 660 + 37 -> 697
Job 7 Operation 7 on Machine 7 : 660 + 106 -> 766
Job 3 Operation 6 on Machine 2 : 667 + 75 -> 742
Job 5 Operation 7 on Machine 0 : 688 + 20 -> 708
Job 2 Operation 6 on Machine 1 : 697 + 12 -> 709
Job 2 Operation 7 on Machine 0 : 709 + 23 -> 732
Job 0 Operation 7 on Machine 4 : 713 + 56 -> 769
Job 1 Operation 7 on Machine 0 : 732 + 22 -> 754
Job 3 Operation 7 on Machine 5 : 742 + 8 -> 750
Makespan: 769.0, as it is the maximum end completion time of Operation 7 |
20 | 15 | Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 11 duration 29 mins.
Operation 1 on Machine 8 duration 109 mins.
Operation 2 on Machine 13 duration 189 mins.
Operation 3 on Machine 4 duration 123 mins.
Operation 4 on Machine 7 duration 130 mins.
Operation 5 on Machine 3 duration 181 mins.
Operation 6 on Machine 10 duration 98 mins.
Operation 7 on Machine 2 duration 69 mins.
Operation 8 on Machine 12 duration 39 mins.
Operation 9 on Machine 6 duration 64 mins.
Operation 10 on Machine 9 duration 186 mins.
Operation 11 on Machine 5 duration 142 mins.
Operation 12 on Machine 1 duration 51 mins.
Operation 13 on Machine 0 duration 152 mins.
Operation 14 on Machine 14 duration 73 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 87 mins.
Operation 1 on Machine 9 duration 124 mins.
Operation 2 on Machine 11 duration 129 mins.
Operation 3 on Machine 2 duration 160 mins.
Operation 4 on Machine 12 duration 116 mins.
Operation 5 on Machine 14 duration 137 mins.
Operation 6 on Machine 6 duration 177 mins.
Operation 7 on Machine 8 duration 186 mins.
Operation 8 on Machine 1 duration 114 mins.
Operation 9 on Machine 4 duration 73 mins.
Operation 10 on Machine 3 duration 151 mins.
Operation 11 on Machine 13 duration 37 mins.
Operation 12 on Machine 0 duration 77 mins.
Operation 13 on Machine 7 duration 19 mins.
Operation 14 on Machine 10 duration 173 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 73 mins.
Operation 1 on Machine 0 duration 20 mins.
Operation 2 on Machine 12 duration 169 mins.
Operation 3 on Machine 8 duration 82 mins.
Operation 4 on Machine 11 duration 61 mins.
Operation 5 on Machine 5 duration 15 mins.
Operation 6 on Machine 7 duration 125 mins.
Operation 7 on Machine 14 duration 159 mins.
Operation 8 on Machine 10 duration 124 mins.
Operation 9 on Machine 9 duration 148 mins.
Operation 10 on Machine 1 duration 27 mins.
Operation 11 on Machine 4 duration 92 mins.
Operation 12 on Machine 13 duration 153 mins.
Operation 13 on Machine 6 duration 114 mins.
Operation 14 on Machine 2 duration 11 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 21 mins.
Operation 1 on Machine 0 duration 136 mins.
Operation 2 on Machine 12 duration 41 mins.
Operation 3 on Machine 7 duration 66 mins.
Operation 4 on Machine 6 duration 106 mins.
Operation 5 on Machine 2 duration 67 mins.
Operation 6 on Machine 11 duration 11 mins.
Operation 7 on Machine 1 duration 197 mins.
Operation 8 on Machine 10 duration 89 mins.
Operation 9 on Machine 8 duration 141 mins.
Operation 10 on Machine 14 duration 180 mins.
Operation 11 on Machine 3 duration 159 mins.
Operation 12 on Machine 9 duration 72 mins.
Operation 13 on Machine 13 duration 164 mins.
Operation 14 on Machine 4 duration 47 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 93 mins.
Operation 1 on Machine 4 duration 179 mins.
Operation 2 on Machine 8 duration 91 mins.
Operation 3 on Machine 12 duration 48 mins.
Operation 4 on Machine 1 duration 54 mins.
Operation 5 on Machine 3 duration 95 mins.
Operation 6 on Machine 2 duration 31 mins.
Operation 7 on Machine 0 duration 155 mins.
Operation 8 on Machine 11 duration 64 mins.
Operation 9 on Machine 10 duration 95 mins.
Operation 10 on Machine 9 duration 112 mins.
Operation 11 on Machine 13 duration 133 mins.
Operation 12 on Machine 14 duration 134 mins.
Operation 13 on Machine 5 duration 49 mins.
Operation 14 on Machine 7 duration 89 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 8 duration 167 mins.
Operation 1 on Machine 6 duration 72 mins.
Operation 2 on Machine 3 duration 153 mins.
Operation 3 on Machine 1 duration 49 mins.
Operation 4 on Machine 11 duration 43 mins.
Operation 5 on Machine 4 duration 198 mins.
Operation 6 on Machine 9 duration 68 mins.
Operation 7 on Machine 5 duration 195 mins.
Operation 8 on Machine 10 duration 175 mins.
Operation 9 on Machine 0 duration 57 mins.
Operation 10 on Machine 14 duration 54 mins.
Operation 11 on Machine 13 duration 28 mins.
Operation 12 on Machine 12 duration 83 mins.
Operation 13 on Machine 7 duration 10 mins.
Operation 14 on Machine 2 duration 195 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 185 mins.
Operation 1 on Machine 3 duration 110 mins.
Operation 2 on Machine 6 duration 123 mins.
Operation 3 on Machine 7 duration 58 mins.
Operation 4 on Machine 2 duration 26 mins.
Operation 5 on Machine 8 duration 31 mins.
Operation 6 on Machine 5 duration 12 mins.
Operation 7 on Machine 10 duration 106 mins.
Operation 8 on Machine 0 duration 179 mins.
Operation 9 on Machine 1 duration 52 mins.
Operation 10 on Machine 14 duration 96 mins.
Operation 11 on Machine 9 duration 65 mins.
Operation 12 on Machine 12 duration 138 mins.
Operation 13 on Machine 11 duration 47 mins.
Operation 14 on Machine 13 duration 11 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 13 duration 56 mins.
Operation 1 on Machine 1 duration 87 mins.
Operation 2 on Machine 6 duration 98 mins.
Operation 3 on Machine 5 duration 150 mins.
Operation 4 on Machine 11 duration 130 mins.
Operation 5 on Machine 2 duration 113 mins.
Operation 6 on Machine 12 duration 40 mins.
Operation 7 on Machine 7 duration 48 mins.
Operation 8 on Machine 4 duration 115 mins.
Operation 9 on Machine 9 duration 99 mins.
Operation 10 on Machine 8 duration 126 mins.
Operation 11 on Machine 3 duration 56 mins.
Operation 12 on Machine 14 duration 45 mins.
Operation 13 on Machine 10 duration 10 mins.
Operation 14 on Machine 0 duration 119 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 14 duration 169 mins.
Operation 1 on Machine 7 duration 186 mins.
Operation 2 on Machine 2 duration 120 mins.
Operation 3 on Machine 4 duration 39 mins.
Operation 4 on Machine 12 duration 31 mins.
Operation 5 on Machine 0 duration 38 mins.
Operation 6 on Machine 6 duration 72 mins.
Operation 7 on Machine 1 duration 50 mins.
Operation 8 on Machine 11 duration 11 mins.
Operation 9 on Machine 9 duration 128 mins.
Operation 10 on Machine 8 duration 8 mins.
Operation 11 on Machine 5 duration 84 mins.
Operation 12 on Machine 3 duration 78 mins.
Operation 13 on Machine 13 duration 126 mins.
Operation 14 on Machine 10 duration 169 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 5 duration 53 mins.
Operation 1 on Machine 9 duration 153 mins.
Operation 2 on Machine 0 duration 24 mins.
Operation 3 on Machine 14 duration 110 mins.
Operation 4 on Machine 13 duration 21 mins.
Operation 5 on Machine 10 duration 191 mins.
Operation 6 on Machine 2 duration 75 mins.
Operation 7 on Machine 3 duration 103 mins.
Operation 8 on Machine 1 duration 153 mins.
Operation 9 on Machine 12 duration 154 mins.
Operation 10 on Machine 7 duration 17 mins.
Operation 11 on Machine 8 duration 92 mins.
Operation 12 on Machine 6 duration 143 mins.
Operation 13 on Machine 4 duration 152 mins.
Operation 14 on Machine 11 duration 162 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 8 duration 3 mins.
Operation 1 on Machine 6 duration 27 mins.
Operation 2 on Machine 0 duration 118 mins.
Operation 3 on Machine 12 duration 8 mins.
Operation 4 on Machine 13 duration 108 mins.
Operation 5 on Machine 10 duration 102 mins.
Operation 6 on Machine 5 duration 83 mins.
Operation 7 on Machine 7 duration 14 mins.
Operation 8 on Machine 11 duration 175 mins.
Operation 9 on Machine 2 duration 191 mins.
Operation 10 on Machine 9 duration 150 mins.
Operation 11 on Machine 4 duration 41 mins.
Operation 12 on Machine 3 duration 106 mins.
Operation 13 on Machine 1 duration 188 mins.
Operation 14 on Machine 14 duration 149 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 5 duration 190 mins.
Operation 1 on Machine 9 duration 178 mins.
Operation 2 on Machine 6 duration 63 mins.
Operation 3 on Machine 4 duration 34 mins.
Operation 4 on Machine 13 duration 61 mins.
Operation 5 on Machine 12 duration 36 mins.
Operation 6 on Machine 1 duration 91 mins.
Operation 7 on Machine 8 duration 93 mins.
Operation 8 on Machine 10 duration 134 mins.
Operation 9 on Machine 7 duration 35 mins.
Operation 10 on Machine 2 duration 48 mins.
Operation 11 on Machine 3 duration 177 mins.
Operation 12 on Machine 14 duration 125 mins.
Operation 13 on Machine 11 duration 47 mins.
Operation 14 on Machine 0 duration 67 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 3 duration 100 mins.
Operation 1 on Machine 6 duration 36 mins.
Operation 2 on Machine 14 duration 162 mins.
Operation 3 on Machine 4 duration 184 mins.
Operation 4 on Machine 11 duration 7 mins.
Operation 5 on Machine 10 duration 50 mins.
Operation 6 on Machine 0 duration 69 mins.
Operation 7 on Machine 1 duration 104 mins.
Operation 8 on Machine 7 duration 94 mins.
Operation 9 on Machine 5 duration 180 mins.
Operation 10 on Machine 13 duration 59 mins.
Operation 11 on Machine 2 duration 112 mins.
Operation 12 on Machine 12 duration 146 mins.
Operation 13 on Machine 8 duration 155 mins.
Operation 14 on Machine 9 duration 6 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 5 duration 147 mins.
Operation 1 on Machine 4 duration 30 mins.
Operation 2 on Machine 8 duration 147 mins.
Operation 3 on Machine 3 duration 6 mins.
Operation 4 on Machine 6 duration 156 mins.
Operation 5 on Machine 11 duration 119 mins.
Operation 6 on Machine 13 duration 112 mins.
Operation 7 on Machine 0 duration 107 mins.
Operation 8 on Machine 14 duration 89 mins.
Operation 9 on Machine 12 duration 39 mins.
Operation 10 on Machine 2 duration 52 mins.
Operation 11 on Machine 7 duration 121 mins.
Operation 12 on Machine 10 duration 117 mins.
Operation 13 on Machine 9 duration 124 mins.
Operation 14 on Machine 1 duration 45 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 4 duration 172 mins.
Operation 1 on Machine 8 duration 177 mins.
Operation 2 on Machine 3 duration 52 mins.
Operation 3 on Machine 1 duration 19 mins.
Operation 4 on Machine 10 duration 143 mins.
Operation 5 on Machine 14 duration 175 mins.
Operation 6 on Machine 7 duration 163 mins.
Operation 7 on Machine 2 duration 23 mins.
Operation 8 on Machine 11 duration 171 mins.
Operation 9 on Machine 13 duration 176 mins.
Operation 10 on Machine 0 duration 138 mins.
Operation 11 on Machine 9 duration 106 mins.
Operation 12 on Machine 12 duration 80 mins.
Operation 13 on Machine 5 duration 8 mins.
Operation 14 on Machine 6 duration 56 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 1 duration 179 mins.
Operation 1 on Machine 9 duration 161 mins.
Operation 2 on Machine 6 duration 27 mins.
Operation 3 on Machine 11 duration 170 mins.
Operation 4 on Machine 0 duration 98 mins.
Operation 5 on Machine 8 duration 160 mins.
Operation 6 on Machine 7 duration 104 mins.
Operation 7 on Machine 2 duration 176 mins.
Operation 8 on Machine 4 duration 2 mins.
Operation 9 on Machine 5 duration 180 mins.
Operation 10 on Machine 14 duration 56 mins.
Operation 11 on Machine 3 duration 61 mins.
Operation 12 on Machine 13 duration 117 mins.
Operation 13 on Machine 12 duration 99 mins.
Operation 14 on Machine 10 duration 35 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 3 duration 192 mins.
Operation 1 on Machine 12 duration 163 mins.
Operation 2 on Machine 4 duration 171 mins.
Operation 3 on Machine 5 duration 199 mins.
Operation 4 on Machine 1 duration 39 mins.
Operation 5 on Machine 8 duration 178 mins.
Operation 6 on Machine 9 duration 177 mins.
Operation 7 on Machine 13 duration 176 mins.
Operation 8 on Machine 2 duration 38 mins.
Operation 9 on Machine 7 duration 113 mins.
Operation 10 on Machine 11 duration 53 mins.
Operation 11 on Machine 14 duration 178 mins.
Operation 12 on Machine 0 duration 196 mins.
Operation 13 on Machine 10 duration 57 mins.
Operation 14 on Machine 6 duration 154 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 2 duration 73 mins.
Operation 1 on Machine 4 duration 18 mins.
Operation 2 on Machine 8 duration 92 mins.
Operation 3 on Machine 1 duration 4 mins.
Operation 4 on Machine 14 duration 153 mins.
Operation 5 on Machine 7 duration 7 mins.
Operation 6 on Machine 0 duration 110 mins.
Operation 7 on Machine 12 duration 25 mins.
Operation 8 on Machine 9 duration 181 mins.
Operation 9 on Machine 6 duration 86 mins.
Operation 10 on Machine 13 duration 150 mins.
Operation 11 on Machine 11 duration 145 mins.
Operation 12 on Machine 5 duration 192 mins.
Operation 13 on Machine 3 duration 124 mins.
Operation 14 on Machine 10 duration 153 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 13 duration 72 mins.
Operation 1 on Machine 10 duration 70 mins.
Operation 2 on Machine 5 duration 40 mins.
Operation 3 on Machine 14 duration 21 mins.
Operation 4 on Machine 6 duration 49 mins.
Operation 5 on Machine 11 duration 106 mins.
Operation 6 on Machine 3 duration 99 mins.
Operation 7 on Machine 2 duration 127 mins.
Operation 8 on Machine 1 duration 94 mins.
Operation 9 on Machine 8 duration 173 mins.
Operation 10 on Machine 12 duration 134 mins.
Operation 11 on Machine 0 duration 8 mins.
Operation 12 on Machine 4 duration 78 mins.
Operation 13 on Machine 7 duration 38 mins.
Operation 14 on Machine 9 duration 13 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 12 duration 159 mins.
Operation 1 on Machine 14 duration 53 mins.
Operation 2 on Machine 1 duration 70 mins.
Operation 3 on Machine 13 duration 35 mins.
Operation 4 on Machine 6 duration 112 mins.
Operation 5 on Machine 4 duration 198 mins.
Operation 6 on Machine 7 duration 4 mins.
Operation 7 on Machine 8 duration 134 mins.
Operation 8 on Machine 2 duration 25 mins.
Operation 9 on Machine 0 duration 122 mins.
Operation 10 on Machine 11 duration 23 mins.
Operation 11 on Machine 5 duration 135 mins.
Operation 12 on Machine 3 duration 164 mins.
Operation 13 on Machine 10 duration 18 mins.
Operation 14 on Machine 9 duration 69 mins.
| Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 1 duration 20 mins.
Job 3 Operation 1 duration 136 mins.
Job 9 Operation 2 duration 24 mins.
Job 10 Operation 2 duration 118 mins.
Job 15 Operation 4 duration 98 mins.
Job 8 Operation 5 duration 38 mins.
Job 12 Operation 6 duration 69 mins.
Job 17 Operation 6 duration 110 mins.
Job 4 Operation 7 duration 155 mins.
Job 13 Operation 7 duration 107 mins.
Job 6 Operation 8 duration 179 mins.
Job 5 Operation 9 duration 57 mins.
Job 19 Operation 9 duration 122 mins.
Job 14 Operation 10 duration 138 mins.
Job 18 Operation 11 duration 8 mins.
Job 1 Operation 12 duration 77 mins.
Job 16 Operation 12 duration 196 mins.
Job 0 Operation 13 duration 152 mins.
Job 7 Operation 14 duration 119 mins.
Job 11 Operation 14 duration 67 mins.
Machine 1 is used for the following Operations:
Job 15 Operation 0 duration 179 mins.
Job 7 Operation 1 duration 87 mins.
Job 19 Operation 2 duration 70 mins.
Job 5 Operation 3 duration 49 mins.
Job 14 Operation 3 duration 19 mins.
Job 17 Operation 3 duration 4 mins.
Job 4 Operation 4 duration 54 mins.
Job 16 Operation 4 duration 39 mins.
Job 11 Operation 6 duration 91 mins.
Job 3 Operation 7 duration 197 mins.
Job 8 Operation 7 duration 50 mins.
Job 12 Operation 7 duration 104 mins.
Job 1 Operation 8 duration 114 mins.
Job 9 Operation 8 duration 153 mins.
Job 18 Operation 8 duration 94 mins.
Job 6 Operation 9 duration 52 mins.
Job 2 Operation 10 duration 27 mins.
Job 0 Operation 12 duration 51 mins.
Job 10 Operation 13 duration 188 mins.
Job 13 Operation 14 duration 45 mins.
Machine 2 is used for the following Operations:
Job 17 Operation 0 duration 73 mins.
Job 8 Operation 2 duration 120 mins.
Job 1 Operation 3 duration 160 mins.
Job 6 Operation 4 duration 26 mins.
Job 3 Operation 5 duration 67 mins.
Job 7 Operation 5 duration 113 mins.
Job 4 Operation 6 duration 31 mins.
Job 9 Operation 6 duration 75 mins.
Job 0 Operation 7 duration 69 mins.
Job 14 Operation 7 duration 23 mins.
Job 15 Operation 7 duration 176 mins.
Job 18 Operation 7 duration 127 mins.
Job 16 Operation 8 duration 38 mins.
Job 19 Operation 8 duration 25 mins.
Job 10 Operation 9 duration 191 mins.
Job 11 Operation 10 duration 48 mins.
Job 13 Operation 10 duration 52 mins.
Job 12 Operation 11 duration 112 mins.
Job 2 Operation 14 duration 11 mins.
Job 5 Operation 14 duration 195 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 73 mins.
Job 12 Operation 0 duration 100 mins.
Job 16 Operation 0 duration 192 mins.
Job 6 Operation 1 duration 110 mins.
Job 5 Operation 2 duration 153 mins.
Job 14 Operation 2 duration 52 mins.
Job 13 Operation 3 duration 6 mins.
Job 0 Operation 5 duration 181 mins.
Job 4 Operation 5 duration 95 mins.
Job 18 Operation 6 duration 99 mins.
Job 9 Operation 7 duration 103 mins.
Job 1 Operation 10 duration 151 mins.
Job 3 Operation 11 duration 159 mins.
Job 7 Operation 11 duration 56 mins.
Job 11 Operation 11 duration 177 mins.
Job 15 Operation 11 duration 61 mins.
Job 8 Operation 12 duration 78 mins.
Job 10 Operation 12 duration 106 mins.
Job 19 Operation 12 duration 164 mins.
Job 17 Operation 13 duration 124 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 185 mins.
Job 14 Operation 0 duration 172 mins.
Job 4 Operation 1 duration 179 mins.
Job 13 Operation 1 duration 30 mins.
Job 17 Operation 1 duration 18 mins.
Job 16 Operation 2 duration 171 mins.
Job 0 Operation 3 duration 123 mins.
Job 8 Operation 3 duration 39 mins.
Job 11 Operation 3 duration 34 mins.
Job 12 Operation 3 duration 184 mins.
Job 5 Operation 5 duration 198 mins.
Job 19 Operation 5 duration 198 mins.
Job 7 Operation 8 duration 115 mins.
Job 15 Operation 8 duration 2 mins.
Job 1 Operation 9 duration 73 mins.
Job 2 Operation 11 duration 92 mins.
Job 10 Operation 11 duration 41 mins.
Job 18 Operation 12 duration 78 mins.
Job 9 Operation 13 duration 152 mins.
Job 3 Operation 14 duration 47 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 87 mins.
Job 3 Operation 0 duration 21 mins.
Job 9 Operation 0 duration 53 mins.
Job 11 Operation 0 duration 190 mins.
Job 13 Operation 0 duration 147 mins.
Job 18 Operation 2 duration 40 mins.
Job 7 Operation 3 duration 150 mins.
Job 16 Operation 3 duration 199 mins.
Job 2 Operation 5 duration 15 mins.
Job 6 Operation 6 duration 12 mins.
Job 10 Operation 6 duration 83 mins.
Job 5 Operation 7 duration 195 mins.
Job 12 Operation 9 duration 180 mins.
Job 15 Operation 9 duration 180 mins.
Job 0 Operation 11 duration 142 mins.
Job 8 Operation 11 duration 84 mins.
Job 19 Operation 11 duration 135 mins.
Job 17 Operation 12 duration 192 mins.
Job 4 Operation 13 duration 49 mins.
Job 14 Operation 13 duration 8 mins.
Machine 6 is used for the following Operations:
Job 4 Operation 0 duration 93 mins.
Job 5 Operation 1 duration 72 mins.
Job 10 Operation 1 duration 27 mins.
Job 12 Operation 1 duration 36 mins.
Job 6 Operation 2 duration 123 mins.
Job 7 Operation 2 duration 98 mins.
Job 11 Operation 2 duration 63 mins.
Job 15 Operation 2 duration 27 mins.
Job 3 Operation 4 duration 106 mins.
Job 13 Operation 4 duration 156 mins.
Job 18 Operation 4 duration 49 mins.
Job 19 Operation 4 duration 112 mins.
Job 1 Operation 6 duration 177 mins.
Job 8 Operation 6 duration 72 mins.
Job 0 Operation 9 duration 64 mins.
Job 17 Operation 9 duration 86 mins.
Job 9 Operation 12 duration 143 mins.
Job 2 Operation 13 duration 114 mins.
Job 14 Operation 14 duration 56 mins.
Job 16 Operation 14 duration 154 mins.
Machine 7 is used for the following Operations:
Job 8 Operation 1 duration 186 mins.
Job 3 Operation 3 duration 66 mins.
Job 6 Operation 3 duration 58 mins.
Job 0 Operation 4 duration 130 mins.
Job 17 Operation 5 duration 7 mins.
Job 2 Operation 6 duration 125 mins.
Job 14 Operation 6 duration 163 mins.
Job 15 Operation 6 duration 104 mins.
Job 19 Operation 6 duration 4 mins.
Job 7 Operation 7 duration 48 mins.
Job 10 Operation 7 duration 14 mins.
Job 12 Operation 8 duration 94 mins.
Job 11 Operation 9 duration 35 mins.
Job 16 Operation 9 duration 113 mins.
Job 9 Operation 10 duration 17 mins.
Job 13 Operation 11 duration 121 mins.
Job 1 Operation 13 duration 19 mins.
Job 5 Operation 13 duration 10 mins.
Job 18 Operation 13 duration 38 mins.
Job 4 Operation 14 duration 89 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 0 duration 167 mins.
Job 10 Operation 0 duration 3 mins.
Job 0 Operation 1 duration 109 mins.
Job 14 Operation 1 duration 177 mins.
Job 4 Operation 2 duration 91 mins.
Job 13 Operation 2 duration 147 mins.
Job 17 Operation 2 duration 92 mins.
Job 2 Operation 3 duration 82 mins.
Job 6 Operation 5 duration 31 mins.
Job 15 Operation 5 duration 160 mins.
Job 16 Operation 5 duration 178 mins.
Job 1 Operation 7 duration 186 mins.
Job 11 Operation 7 duration 93 mins.
Job 19 Operation 7 duration 134 mins.
Job 3 Operation 9 duration 141 mins.
Job 18 Operation 9 duration 173 mins.
Job 7 Operation 10 duration 126 mins.
Job 8 Operation 10 duration 8 mins.
Job 9 Operation 11 duration 92 mins.
Job 12 Operation 13 duration 155 mins.
Machine 9 is used for the following Operations:
Job 1 Operation 1 duration 124 mins.
Job 9 Operation 1 duration 153 mins.
Job 11 Operation 1 duration 178 mins.
Job 15 Operation 1 duration 161 mins.
Job 5 Operation 6 duration 68 mins.
Job 16 Operation 6 duration 177 mins.
Job 17 Operation 8 duration 181 mins.
Job 2 Operation 9 duration 148 mins.
Job 7 Operation 9 duration 99 mins.
Job 8 Operation 9 duration 128 mins.
Job 0 Operation 10 duration 186 mins.
Job 4 Operation 10 duration 112 mins.
Job 10 Operation 10 duration 150 mins.
Job 6 Operation 11 duration 65 mins.
Job 14 Operation 11 duration 106 mins.
Job 3 Operation 12 duration 72 mins.
Job 13 Operation 13 duration 124 mins.
Job 12 Operation 14 duration 6 mins.
Job 18 Operation 14 duration 13 mins.
Job 19 Operation 14 duration 69 mins.
Machine 10 is used for the following Operations:
Job 18 Operation 1 duration 70 mins.
Job 14 Operation 4 duration 143 mins.
Job 9 Operation 5 duration 191 mins.
Job 10 Operation 5 duration 102 mins.
Job 12 Operation 5 duration 50 mins.
Job 0 Operation 6 duration 98 mins.
Job 6 Operation 7 duration 106 mins.
Job 2 Operation 8 duration 124 mins.
Job 3 Operation 8 duration 89 mins.
Job 5 Operation 8 duration 175 mins.
Job 11 Operation 8 duration 134 mins.
Job 4 Operation 9 duration 95 mins.
Job 13 Operation 12 duration 117 mins.
Job 7 Operation 13 duration 10 mins.
Job 16 Operation 13 duration 57 mins.
Job 19 Operation 13 duration 18 mins.
Job 1 Operation 14 duration 173 mins.
Job 8 Operation 14 duration 169 mins.
Job 15 Operation 14 duration 35 mins.
Job 17 Operation 14 duration 153 mins.
Machine 11 is used for the following Operations:
Job 0 Operation 0 duration 29 mins.
Job 1 Operation 2 duration 129 mins.
Job 15 Operation 3 duration 170 mins.
Job 2 Operation 4 duration 61 mins.
Job 5 Operation 4 duration 43 mins.
Job 7 Operation 4 duration 130 mins.
Job 12 Operation 4 duration 7 mins.
Job 13 Operation 5 duration 119 mins.
Job 18 Operation 5 duration 106 mins.
Job 3 Operation 6 duration 11 mins.
Job 4 Operation 8 duration 64 mins.
Job 8 Operation 8 duration 11 mins.
Job 10 Operation 8 duration 175 mins.
Job 14 Operation 8 duration 171 mins.
Job 16 Operation 10 duration 53 mins.
Job 19 Operation 10 duration 23 mins.
Job 17 Operation 11 duration 145 mins.
Job 6 Operation 13 duration 47 mins.
Job 11 Operation 13 duration 47 mins.
Job 9 Operation 14 duration 162 mins.
Machine 12 is used for the following Operations:
Job 19 Operation 0 duration 159 mins.
Job 16 Operation 1 duration 163 mins.
Job 2 Operation 2 duration 169 mins.
Job 3 Operation 2 duration 41 mins.
Job 4 Operation 3 duration 48 mins.
Job 10 Operation 3 duration 8 mins.
Job 1 Operation 4 duration 116 mins.
Job 8 Operation 4 duration 31 mins.
Job 11 Operation 5 duration 36 mins.
Job 7 Operation 6 duration 40 mins.
Job 17 Operation 7 duration 25 mins.
Job 0 Operation 8 duration 39 mins.
Job 9 Operation 9 duration 154 mins.
Job 13 Operation 9 duration 39 mins.
Job 18 Operation 10 duration 134 mins.
Job 5 Operation 12 duration 83 mins.
Job 6 Operation 12 duration 138 mins.
Job 12 Operation 12 duration 146 mins.
Job 14 Operation 12 duration 80 mins.
Job 15 Operation 13 duration 99 mins.
Machine 13 is used for the following Operations:
Job 7 Operation 0 duration 56 mins.
Job 18 Operation 0 duration 72 mins.
Job 0 Operation 2 duration 189 mins.
Job 19 Operation 3 duration 35 mins.
Job 9 Operation 4 duration 21 mins.
Job 10 Operation 4 duration 108 mins.
Job 11 Operation 4 duration 61 mins.
Job 13 Operation 6 duration 112 mins.
Job 16 Operation 7 duration 176 mins.
Job 14 Operation 9 duration 176 mins.
Job 12 Operation 10 duration 59 mins.
Job 17 Operation 10 duration 150 mins.
Job 1 Operation 11 duration 37 mins.
Job 4 Operation 11 duration 133 mins.
Job 5 Operation 11 duration 28 mins.
Job 2 Operation 12 duration 153 mins.
Job 15 Operation 12 duration 117 mins.
Job 3 Operation 13 duration 164 mins.
Job 8 Operation 13 duration 126 mins.
Job 6 Operation 14 duration 11 mins.
Machine 14 is used for the following Operations:
Job 8 Operation 0 duration 169 mins.
Job 19 Operation 1 duration 53 mins.
Job 12 Operation 2 duration 162 mins.
Job 9 Operation 3 duration 110 mins.
Job 18 Operation 3 duration 21 mins.
Job 17 Operation 4 duration 153 mins.
Job 1 Operation 5 duration 137 mins.
Job 14 Operation 5 duration 175 mins.
Job 2 Operation 7 duration 159 mins.
Job 13 Operation 8 duration 89 mins.
Job 3 Operation 10 duration 180 mins.
Job 5 Operation 10 duration 54 mins.
Job 6 Operation 10 duration 96 mins.
Job 15 Operation 10 duration 56 mins.
Job 16 Operation 11 duration 178 mins.
Job 4 Operation 12 duration 134 mins.
Job 7 Operation 12 duration 45 mins.
Job 11 Operation 12 duration 125 mins.
Job 0 Operation 14 duration 73 mins.
Job 10 Operation 14 duration 149 mins.
| Solution:
Job 17 Operation 0 on Machine 2 : 0 + 73 -> 73
Job 2 Operation 0 on Machine 3 : 0 + 73 -> 73
Job 11 Operation 0 on Machine 5 : 0 + 190 -> 190
Job 4 Operation 0 on Machine 6 : 0 + 93 -> 93
Job 10 Operation 0 on Machine 8 : 0 + 3 -> 3
Job 0 Operation 0 on Machine 11 : 0 + 29 -> 29
Job 19 Operation 0 on Machine 12 : 0 + 159 -> 159
Job 7 Operation 0 on Machine 13 : 0 + 56 -> 56
Job 8 Operation 0 on Machine 14 : 0 + 169 -> 169
Job 0 Operation 1 on Machine 8 : 29 + 109 -> 138
Job 7 Operation 1 on Machine 1 : 56 + 87 -> 143
Job 18 Operation 0 on Machine 13 : 56 + 72 -> 128
Job 2 Operation 1 on Machine 0 : 73 + 20 -> 93
Job 16 Operation 0 on Machine 3 : 73 + 192 -> 265
Job 17 Operation 1 on Machine 4 : 73 + 18 -> 91
Job 4 Operation 1 on Machine 4 : 93 + 179 -> 272
Job 10 Operation 1 on Machine 6 : 93 + 27 -> 120
Job 10 Operation 2 on Machine 0 : 120 + 118 -> 238
Job 18 Operation 1 on Machine 10 : 128 + 70 -> 198
Job 17 Operation 2 on Machine 8 : 138 + 92 -> 230
Job 0 Operation 2 on Machine 13 : 138 + 189 -> 327
Job 7 Operation 2 on Machine 6 : 143 + 98 -> 241
Job 2 Operation 2 on Machine 12 : 159 + 169 -> 328
Job 8 Operation 1 on Machine 7 : 169 + 186 -> 355
Job 19 Operation 1 on Machine 14 : 169 + 53 -> 222
Job 3 Operation 0 on Machine 5 : 190 + 21 -> 211
Job 11 Operation 1 on Machine 9 : 190 + 178 -> 368
Job 18 Operation 2 on Machine 5 : 211 + 40 -> 251
Job 19 Operation 2 on Machine 1 : 222 + 70 -> 292
Job 3 Operation 1 on Machine 0 : 238 + 136 -> 374
Job 1 Operation 0 on Machine 5 : 251 + 87 -> 338
Job 18 Operation 3 on Machine 14 : 251 + 21 -> 272
Job 12 Operation 0 on Machine 3 : 265 + 100 -> 365
Job 14 Operation 0 on Machine 4 : 272 + 172 -> 444
Job 18 Operation 4 on Machine 6 : 272 + 49 -> 321
Job 4 Operation 2 on Machine 8 : 272 + 91 -> 363
Job 17 Operation 3 on Machine 1 : 292 + 4 -> 296
Job 17 Operation 4 on Machine 14 : 296 + 153 -> 449
Job 18 Operation 5 on Machine 11 : 321 + 106 -> 427
Job 10 Operation 3 on Machine 12 : 328 + 8 -> 336
Job 10 Operation 4 on Machine 13 : 336 + 108 -> 444
Job 9 Operation 0 on Machine 5 : 338 + 53 -> 391
Job 8 Operation 2 on Machine 2 : 355 + 120 -> 475
Job 2 Operation 3 on Machine 8 : 363 + 82 -> 445
Job 4 Operation 3 on Machine 12 : 363 + 48 -> 411
Job 11 Operation 2 on Machine 6 : 368 + 63 -> 431
Job 1 Operation 1 on Machine 9 : 368 + 124 -> 492
Job 7 Operation 3 on Machine 5 : 391 + 150 -> 541
Job 4 Operation 4 on Machine 1 : 411 + 54 -> 465
Job 16 Operation 1 on Machine 12 : 411 + 163 -> 574
Job 12 Operation 1 on Machine 6 : 431 + 36 -> 467
Job 11 Operation 3 on Machine 4 : 444 + 34 -> 478
Job 10 Operation 5 on Machine 10 : 444 + 102 -> 546
Job 5 Operation 0 on Machine 8 : 445 + 167 -> 612
Job 2 Operation 4 on Machine 11 : 445 + 61 -> 506
Job 17 Operation 5 on Machine 7 : 449 + 7 -> 456
Job 17 Operation 6 on Machine 0 : 456 + 110 -> 566
Job 15 Operation 0 on Machine 1 : 465 + 179 -> 644
Job 4 Operation 5 on Machine 3 : 465 + 95 -> 560
Job 12 Operation 2 on Machine 14 : 467 + 162 -> 629
Job 0 Operation 3 on Machine 4 : 478 + 123 -> 601
Job 11 Operation 4 on Machine 13 : 478 + 61 -> 539
Job 9 Operation 1 on Machine 9 : 492 + 153 -> 645
Job 1 Operation 2 on Machine 11 : 506 + 129 -> 635
Job 19 Operation 3 on Machine 13 : 539 + 35 -> 574
Job 13 Operation 0 on Machine 5 : 541 + 147 -> 688
Job 4 Operation 6 on Machine 2 : 560 + 31 -> 591
Job 18 Operation 6 on Machine 3 : 560 + 99 -> 659
Job 3 Operation 2 on Machine 12 : 574 + 41 -> 615
Job 4 Operation 7 on Machine 0 : 591 + 155 -> 746
Job 16 Operation 2 on Machine 4 : 601 + 171 -> 772
Job 0 Operation 4 on Machine 7 : 601 + 130 -> 731
Job 5 Operation 1 on Machine 6 : 612 + 72 -> 684
Job 14 Operation 1 on Machine 8 : 612 + 177 -> 789
Job 11 Operation 5 on Machine 12 : 615 + 36 -> 651
Job 1 Operation 3 on Machine 2 : 635 + 160 -> 795
Job 7 Operation 4 on Machine 11 : 635 + 130 -> 765
Job 15 Operation 1 on Machine 9 : 645 + 161 -> 806
Job 11 Operation 6 on Machine 1 : 651 + 91 -> 742
Job 17 Operation 7 on Machine 12 : 651 + 25 -> 676
Job 5 Operation 2 on Machine 3 : 684 + 153 -> 837
Job 19 Operation 4 on Machine 6 : 684 + 112 -> 796
Job 2 Operation 5 on Machine 5 : 688 + 15 -> 703
Job 10 Operation 6 on Machine 5 : 703 + 83 -> 786
Job 3 Operation 3 on Machine 7 : 731 + 66 -> 797
Job 9 Operation 2 on Machine 0 : 746 + 24 -> 770
Job 4 Operation 8 on Machine 11 : 765 + 64 -> 829
Job 9 Operation 3 on Machine 14 : 770 + 110 -> 880
Job 13 Operation 1 on Machine 4 : 772 + 30 -> 802
Job 16 Operation 3 on Machine 5 : 786 + 199 -> 985
Job 11 Operation 7 on Machine 8 : 789 + 93 -> 882
Job 18 Operation 7 on Machine 2 : 795 + 127 -> 922
Job 1 Operation 4 on Machine 12 : 795 + 116 -> 911
Job 2 Operation 6 on Machine 7 : 797 + 125 -> 922
Job 8 Operation 3 on Machine 4 : 802 + 39 -> 841
Job 15 Operation 2 on Machine 6 : 806 + 27 -> 833
Job 17 Operation 8 on Machine 9 : 806 + 181 -> 987
Job 4 Operation 9 on Machine 10 : 829 + 95 -> 924
Job 3 Operation 4 on Machine 6 : 833 + 106 -> 939
Job 5 Operation 3 on Machine 1 : 837 + 49 -> 886
Job 14 Operation 2 on Machine 3 : 837 + 52 -> 889
Job 19 Operation 5 on Machine 4 : 841 + 198 -> 1039
Job 9 Operation 4 on Machine 13 : 880 + 21 -> 901
Job 13 Operation 2 on Machine 8 : 882 + 147 -> 1029
Job 5 Operation 4 on Machine 11 : 886 + 43 -> 929
Job 14 Operation 3 on Machine 1 : 889 + 19 -> 908
Job 0 Operation 5 on Machine 3 : 889 + 181 -> 1070
Job 8 Operation 4 on Machine 12 : 911 + 31 -> 942
Job 1 Operation 5 on Machine 14 : 911 + 137 -> 1048
Job 7 Operation 5 on Machine 2 : 922 + 113 -> 1035
Job 10 Operation 7 on Machine 7 : 922 + 14 -> 936
Job 14 Operation 4 on Machine 10 : 924 + 143 -> 1067
Job 15 Operation 3 on Machine 11 : 929 + 170 -> 1099
Job 8 Operation 5 on Machine 0 : 942 + 38 -> 980
Job 8 Operation 6 on Machine 6 : 980 + 72 -> 1052
Job 16 Operation 4 on Machine 1 : 985 + 39 -> 1024
Job 4 Operation 10 on Machine 9 : 987 + 112 -> 1099
Job 16 Operation 5 on Machine 8 : 1029 + 178 -> 1207
Job 3 Operation 5 on Machine 2 : 1035 + 67 -> 1102
Job 7 Operation 6 on Machine 12 : 1035 + 40 -> 1075
Job 5 Operation 5 on Machine 4 : 1039 + 198 -> 1237
Job 8 Operation 7 on Machine 1 : 1052 + 50 -> 1102
Job 9 Operation 5 on Machine 10 : 1067 + 191 -> 1258
Job 14 Operation 5 on Machine 14 : 1067 + 175 -> 1242
Job 13 Operation 3 on Machine 3 : 1070 + 6 -> 1076
Job 7 Operation 7 on Machine 7 : 1075 + 48 -> 1123
Job 13 Operation 4 on Machine 6 : 1076 + 156 -> 1232
Job 15 Operation 4 on Machine 0 : 1099 + 98 -> 1197
Job 4 Operation 11 on Machine 13 : 1099 + 133 -> 1232
Job 8 Operation 8 on Machine 11 : 1102 + 11 -> 1113
Job 8 Operation 9 on Machine 9 : 1113 + 128 -> 1241
Job 3 Operation 6 on Machine 11 : 1113 + 11 -> 1124
Job 19 Operation 6 on Machine 7 : 1123 + 4 -> 1127
Job 3 Operation 7 on Machine 1 : 1124 + 197 -> 1321
Job 15 Operation 5 on Machine 8 : 1207 + 160 -> 1367
Job 1 Operation 6 on Machine 6 : 1232 + 177 -> 1409
Job 13 Operation 5 on Machine 11 : 1232 + 119 -> 1351
Job 6 Operation 0 on Machine 4 : 1237 + 185 -> 1422
Job 5 Operation 6 on Machine 9 : 1241 + 68 -> 1309
Job 14 Operation 6 on Machine 7 : 1242 + 163 -> 1405
Job 2 Operation 7 on Machine 14 : 1242 + 159 -> 1401
Job 9 Operation 6 on Machine 2 : 1258 + 75 -> 1333
Job 0 Operation 6 on Machine 10 : 1258 + 98 -> 1356
Job 5 Operation 7 on Machine 5 : 1309 + 195 -> 1504
Job 16 Operation 6 on Machine 9 : 1309 + 177 -> 1486
Job 18 Operation 8 on Machine 1 : 1321 + 94 -> 1415
Job 9 Operation 7 on Machine 3 : 1333 + 103 -> 1436
Job 13 Operation 6 on Machine 13 : 1351 + 112 -> 1463
Job 0 Operation 7 on Machine 2 : 1356 + 69 -> 1425
Job 11 Operation 8 on Machine 10 : 1356 + 134 -> 1490
Job 19 Operation 7 on Machine 8 : 1367 + 134 -> 1501
Job 4 Operation 12 on Machine 14 : 1401 + 134 -> 1535
Job 15 Operation 6 on Machine 7 : 1405 + 104 -> 1509
Job 12 Operation 3 on Machine 4 : 1422 + 184 -> 1606
Job 14 Operation 7 on Machine 2 : 1425 + 23 -> 1448
Job 0 Operation 8 on Machine 12 : 1425 + 39 -> 1464
Job 9 Operation 8 on Machine 1 : 1436 + 153 -> 1589
Job 6 Operation 1 on Machine 3 : 1436 + 110 -> 1546
Job 14 Operation 8 on Machine 11 : 1448 + 171 -> 1619
Job 0 Operation 9 on Machine 6 : 1464 + 64 -> 1528
Job 16 Operation 7 on Machine 13 : 1486 + 176 -> 1662
Job 3 Operation 8 on Machine 10 : 1490 + 89 -> 1579
Job 19 Operation 8 on Machine 2 : 1501 + 25 -> 1526
Job 8 Operation 10 on Machine 8 : 1501 + 8 -> 1509
Job 8 Operation 11 on Machine 5 : 1509 + 84 -> 1593
Job 11 Operation 9 on Machine 7 : 1509 + 35 -> 1544
Job 1 Operation 7 on Machine 8 : 1509 + 186 -> 1695
Job 19 Operation 9 on Machine 0 : 1526 + 122 -> 1648
Job 0 Operation 10 on Machine 9 : 1528 + 186 -> 1714
Job 11 Operation 10 on Machine 2 : 1544 + 48 -> 1592
Job 6 Operation 2 on Machine 6 : 1546 + 123 -> 1669
Job 15 Operation 7 on Machine 2 : 1592 + 176 -> 1768
Job 11 Operation 11 on Machine 3 : 1592 + 177 -> 1769
Job 7 Operation 8 on Machine 4 : 1606 + 115 -> 1721
Job 12 Operation 4 on Machine 11 : 1619 + 7 -> 1626
Job 12 Operation 5 on Machine 10 : 1626 + 50 -> 1676
Job 13 Operation 7 on Machine 0 : 1648 + 107 -> 1755
Job 19 Operation 10 on Machine 11 : 1648 + 23 -> 1671
Job 14 Operation 9 on Machine 13 : 1662 + 176 -> 1838
Job 17 Operation 9 on Machine 6 : 1669 + 86 -> 1755
Job 6 Operation 3 on Machine 7 : 1669 + 58 -> 1727
Job 19 Operation 11 on Machine 5 : 1671 + 135 -> 1806
Job 10 Operation 8 on Machine 11 : 1671 + 175 -> 1846
Job 2 Operation 8 on Machine 10 : 1676 + 124 -> 1800
Job 1 Operation 8 on Machine 1 : 1695 + 114 -> 1809
Job 3 Operation 9 on Machine 8 : 1695 + 141 -> 1836
Job 7 Operation 9 on Machine 9 : 1721 + 99 -> 1820
Job 12 Operation 6 on Machine 0 : 1755 + 69 -> 1824
Job 13 Operation 8 on Machine 14 : 1755 + 89 -> 1844
Job 16 Operation 8 on Machine 2 : 1768 + 38 -> 1806
Job 15 Operation 8 on Machine 4 : 1768 + 2 -> 1770
Job 8 Operation 12 on Machine 3 : 1769 + 78 -> 1847
Job 5 Operation 8 on Machine 10 : 1800 + 175 -> 1975
Job 6 Operation 4 on Machine 2 : 1806 + 26 -> 1832
Job 15 Operation 9 on Machine 5 : 1806 + 180 -> 1986
Job 16 Operation 9 on Machine 7 : 1806 + 113 -> 1919
Job 1 Operation 9 on Machine 4 : 1809 + 73 -> 1882
Job 2 Operation 9 on Machine 9 : 1820 + 148 -> 1968
Job 12 Operation 7 on Machine 1 : 1824 + 104 -> 1928
Job 6 Operation 5 on Machine 8 : 1836 + 31 -> 1867
Job 14 Operation 10 on Machine 0 : 1838 + 138 -> 1976
Job 13 Operation 9 on Machine 12 : 1844 + 39 -> 1883
Job 3 Operation 10 on Machine 14 : 1844 + 180 -> 2024
Job 10 Operation 9 on Machine 2 : 1846 + 191 -> 2037
Job 8 Operation 13 on Machine 13 : 1847 + 126 -> 1973
Job 7 Operation 10 on Machine 8 : 1867 + 126 -> 1993
Job 1 Operation 10 on Machine 3 : 1882 + 151 -> 2033
Job 9 Operation 9 on Machine 12 : 1883 + 154 -> 2037
Job 16 Operation 10 on Machine 11 : 1919 + 53 -> 1972
Job 12 Operation 8 on Machine 7 : 1928 + 94 -> 2022
Job 2 Operation 10 on Machine 1 : 1968 + 27 -> 1995
Job 5 Operation 9 on Machine 0 : 1976 + 57 -> 2033
Job 14 Operation 11 on Machine 9 : 1976 + 106 -> 2082
Job 6 Operation 6 on Machine 5 : 1986 + 12 -> 1998
Job 18 Operation 9 on Machine 8 : 1993 + 173 -> 2166
Job 6 Operation 7 on Machine 10 : 1998 + 106 -> 2104
Job 12 Operation 9 on Machine 5 : 2022 + 180 -> 2202
Job 15 Operation 10 on Machine 14 : 2024 + 56 -> 2080
Job 7 Operation 11 on Machine 3 : 2033 + 56 -> 2089
Job 1 Operation 11 on Machine 13 : 2033 + 37 -> 2070
Job 13 Operation 10 on Machine 2 : 2037 + 52 -> 2089
Job 9 Operation 10 on Machine 7 : 2037 + 17 -> 2054
Job 1 Operation 12 on Machine 0 : 2070 + 77 -> 2147
Job 17 Operation 10 on Machine 13 : 2070 + 150 -> 2220
Job 16 Operation 11 on Machine 14 : 2080 + 178 -> 2258
Job 10 Operation 10 on Machine 9 : 2082 + 150 -> 2232
Job 14 Operation 12 on Machine 12 : 2082 + 80 -> 2162
Job 19 Operation 12 on Machine 3 : 2089 + 164 -> 2253
Job 13 Operation 11 on Machine 7 : 2089 + 121 -> 2210
Job 8 Operation 14 on Machine 10 : 2104 + 169 -> 2273
Job 6 Operation 8 on Machine 0 : 2147 + 179 -> 2326
Job 9 Operation 11 on Machine 8 : 2166 + 92 -> 2258
Job 18 Operation 10 on Machine 12 : 2166 + 134 -> 2300
Job 14 Operation 13 on Machine 5 : 2202 + 8 -> 2210
Job 0 Operation 11 on Machine 5 : 2210 + 142 -> 2352
Job 14 Operation 14 on Machine 6 : 2210 + 56 -> 2266
Job 1 Operation 13 on Machine 7 : 2210 + 19 -> 2229
Job 17 Operation 11 on Machine 11 : 2220 + 145 -> 2365
Job 12 Operation 10 on Machine 13 : 2220 + 59 -> 2279
Job 10 Operation 11 on Machine 4 : 2232 + 41 -> 2273
Job 15 Operation 11 on Machine 3 : 2253 + 61 -> 2314
Job 5 Operation 10 on Machine 14 : 2258 + 54 -> 2312
Job 9 Operation 12 on Machine 6 : 2266 + 143 -> 2409
Job 2 Operation 11 on Machine 4 : 2273 + 92 -> 2365
Job 19 Operation 13 on Machine 10 : 2273 + 18 -> 2291
Job 12 Operation 11 on Machine 2 : 2279 + 112 -> 2391
Job 13 Operation 12 on Machine 10 : 2291 + 117 -> 2408
Job 5 Operation 11 on Machine 13 : 2312 + 28 -> 2340
Job 10 Operation 12 on Machine 3 : 2314 + 106 -> 2420
Job 16 Operation 12 on Machine 0 : 2326 + 196 -> 2522
Job 6 Operation 9 on Machine 1 : 2326 + 52 -> 2378
Job 5 Operation 12 on Machine 12 : 2340 + 83 -> 2423
Job 15 Operation 12 on Machine 13 : 2340 + 117 -> 2457
Job 17 Operation 12 on Machine 5 : 2365 + 192 -> 2557
Job 0 Operation 12 on Machine 1 : 2378 + 51 -> 2429
Job 6 Operation 10 on Machine 14 : 2378 + 96 -> 2474
Job 1 Operation 14 on Machine 10 : 2408 + 173 -> 2581
Job 9 Operation 13 on Machine 4 : 2409 + 152 -> 2561
Job 3 Operation 11 on Machine 3 : 2420 + 159 -> 2579
Job 5 Operation 13 on Machine 7 : 2423 + 10 -> 2433
Job 12 Operation 12 on Machine 12 : 2423 + 146 -> 2569
Job 10 Operation 13 on Machine 1 : 2429 + 188 -> 2617
Job 5 Operation 14 on Machine 2 : 2433 + 195 -> 2628
Job 2 Operation 12 on Machine 13 : 2457 + 153 -> 2610
Job 6 Operation 11 on Machine 9 : 2474 + 65 -> 2539
Job 11 Operation 12 on Machine 14 : 2474 + 125 -> 2599
Job 0 Operation 13 on Machine 0 : 2522 + 152 -> 2674
Job 4 Operation 13 on Machine 5 : 2557 + 49 -> 2606
Job 12 Operation 13 on Machine 8 : 2569 + 155 -> 2724
Job 6 Operation 12 on Machine 12 : 2569 + 138 -> 2707
Job 17 Operation 13 on Machine 3 : 2579 + 124 -> 2703
Job 3 Operation 12 on Machine 9 : 2579 + 72 -> 2651
Job 16 Operation 13 on Machine 10 : 2581 + 57 -> 2638
Job 11 Operation 13 on Machine 11 : 2599 + 47 -> 2646
Job 7 Operation 12 on Machine 14 : 2599 + 45 -> 2644
Job 4 Operation 14 on Machine 7 : 2606 + 89 -> 2695
Job 2 Operation 13 on Machine 6 : 2610 + 114 -> 2724
Job 7 Operation 13 on Machine 10 : 2644 + 10 -> 2654
Job 10 Operation 14 on Machine 14 : 2644 + 149 -> 2793
Job 9 Operation 14 on Machine 11 : 2646 + 162 -> 2808
Job 13 Operation 13 on Machine 9 : 2651 + 124 -> 2775
Job 3 Operation 13 on Machine 13 : 2651 + 164 -> 2815
Job 18 Operation 11 on Machine 0 : 2674 + 8 -> 2682
Job 11 Operation 14 on Machine 0 : 2682 + 67 -> 2749
Job 18 Operation 12 on Machine 4 : 2682 + 78 -> 2760
Job 17 Operation 14 on Machine 10 : 2703 + 153 -> 2856
Job 15 Operation 13 on Machine 12 : 2707 + 99 -> 2806
Job 2 Operation 14 on Machine 2 : 2724 + 11 -> 2735
Job 16 Operation 14 on Machine 6 : 2724 + 154 -> 2878
Job 7 Operation 14 on Machine 0 : 2749 + 119 -> 2868
Job 18 Operation 13 on Machine 7 : 2760 + 38 -> 2798
Job 13 Operation 14 on Machine 1 : 2775 + 45 -> 2820
Job 19 Operation 14 on Machine 9 : 2775 + 69 -> 2844
Job 0 Operation 14 on Machine 14 : 2793 + 73 -> 2866
Job 6 Operation 13 on Machine 11 : 2808 + 47 -> 2855
Job 3 Operation 14 on Machine 4 : 2815 + 47 -> 2862
Job 18 Operation 14 on Machine 9 : 2844 + 13 -> 2857
Job 6 Operation 14 on Machine 13 : 2855 + 11 -> 2866
Job 15 Operation 14 on Machine 10 : 2856 + 35 -> 2891
Job 12 Operation 14 on Machine 9 : 2857 + 6 -> 2863
Makespan: 2891.0, as it is the maximum end completion time of Operation 14 |
9 | 6 | Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 224 mins.
Operation 1 on Machine 3 duration 393 mins.
Operation 2 on Machine 0 duration 209 mins.
Operation 3 on Machine 5 duration 275 mins.
Operation 4 on Machine 1 duration 53 mins.
Operation 5 on Machine 4 duration 208 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 264 mins.
Operation 1 on Machine 1 duration 318 mins.
Operation 2 on Machine 3 duration 329 mins.
Operation 3 on Machine 4 duration 25 mins.
Operation 4 on Machine 0 duration 78 mins.
Operation 5 on Machine 5 duration 273 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 306 mins.
Operation 1 on Machine 5 duration 241 mins.
Operation 2 on Machine 2 duration 402 mins.
Operation 3 on Machine 4 duration 403 mins.
Operation 4 on Machine 3 duration 445 mins.
Operation 5 on Machine 1 duration 350 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 368 mins.
Operation 1 on Machine 0 duration 348 mins.
Operation 2 on Machine 4 duration 135 mins.
Operation 3 on Machine 3 duration 294 mins.
Operation 4 on Machine 1 duration 436 mins.
Operation 5 on Machine 5 duration 280 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 57 mins.
Operation 1 on Machine 4 duration 67 mins.
Operation 2 on Machine 5 duration 223 mins.
Operation 3 on Machine 1 duration 30 mins.
Operation 4 on Machine 0 duration 368 mins.
Operation 5 on Machine 3 duration 210 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 180 mins.
Operation 1 on Machine 5 duration 397 mins.
Operation 2 on Machine 4 duration 29 mins.
Operation 3 on Machine 3 duration 374 mins.
Operation 4 on Machine 0 duration 95 mins.
Operation 5 on Machine 1 duration 46 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 350 mins.
Operation 1 on Machine 1 duration 204 mins.
Operation 2 on Machine 4 duration 280 mins.
Operation 3 on Machine 0 duration 203 mins.
Operation 4 on Machine 3 duration 278 mins.
Operation 5 on Machine 2 duration 394 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 6 mins.
Operation 1 on Machine 3 duration 281 mins.
Operation 2 on Machine 1 duration 140 mins.
Operation 3 on Machine 2 duration 406 mins.
Operation 4 on Machine 5 duration 244 mins.
Operation 5 on Machine 4 duration 93 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 162 mins.
Operation 1 on Machine 1 duration 13 mins.
Operation 2 on Machine 0 duration 190 mins.
Operation 3 on Machine 2 duration 180 mins.
Operation 4 on Machine 5 duration 280 mins.
Operation 5 on Machine 3 duration 143 mins.
| Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 306 mins.
Job 7 Operation 0 duration 6 mins.
Job 3 Operation 1 duration 348 mins.
Job 0 Operation 2 duration 209 mins.
Job 8 Operation 2 duration 190 mins.
Job 6 Operation 3 duration 203 mins.
Job 1 Operation 4 duration 78 mins.
Job 4 Operation 4 duration 368 mins.
Job 5 Operation 4 duration 95 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 318 mins.
Job 6 Operation 1 duration 204 mins.
Job 8 Operation 1 duration 13 mins.
Job 7 Operation 2 duration 140 mins.
Job 4 Operation 3 duration 30 mins.
Job 0 Operation 4 duration 53 mins.
Job 3 Operation 4 duration 436 mins.
Job 2 Operation 5 duration 350 mins.
Job 5 Operation 5 duration 46 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 224 mins.
Job 1 Operation 0 duration 264 mins.
Job 3 Operation 0 duration 368 mins.
Job 4 Operation 0 duration 57 mins.
Job 5 Operation 0 duration 180 mins.
Job 2 Operation 2 duration 402 mins.
Job 7 Operation 3 duration 406 mins.
Job 8 Operation 3 duration 180 mins.
Job 6 Operation 5 duration 394 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 393 mins.
Job 7 Operation 1 duration 281 mins.
Job 1 Operation 2 duration 329 mins.
Job 3 Operation 3 duration 294 mins.
Job 5 Operation 3 duration 374 mins.
Job 2 Operation 4 duration 445 mins.
Job 6 Operation 4 duration 278 mins.
Job 4 Operation 5 duration 210 mins.
Job 8 Operation 5 duration 143 mins.
Machine 4 is used for the following Operations:
Job 8 Operation 0 duration 162 mins.
Job 4 Operation 1 duration 67 mins.
Job 3 Operation 2 duration 135 mins.
Job 5 Operation 2 duration 29 mins.
Job 6 Operation 2 duration 280 mins.
Job 1 Operation 3 duration 25 mins.
Job 2 Operation 3 duration 403 mins.
Job 0 Operation 5 duration 208 mins.
Job 7 Operation 5 duration 93 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 350 mins.
Job 2 Operation 1 duration 241 mins.
Job 5 Operation 1 duration 397 mins.
Job 4 Operation 2 duration 223 mins.
Job 0 Operation 3 duration 275 mins.
Job 7 Operation 4 duration 244 mins.
Job 8 Operation 4 duration 280 mins.
Job 1 Operation 5 duration 273 mins.
Job 3 Operation 5 duration 280 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 6 -> 6
Job 5 Operation 0 on Machine 2 : 0 + 180 -> 180
Job 8 Operation 0 on Machine 4 : 0 + 162 -> 162
Job 6 Operation 0 on Machine 5 : 0 + 350 -> 350
Job 7 Operation 1 on Machine 3 : 6 + 281 -> 287
Job 8 Operation 1 on Machine 1 : 162 + 13 -> 175
Job 8 Operation 2 on Machine 0 : 175 + 190 -> 365
Job 0 Operation 0 on Machine 2 : 180 + 224 -> 404
Job 7 Operation 2 on Machine 1 : 287 + 140 -> 427
Job 5 Operation 1 on Machine 5 : 350 + 397 -> 747
Job 2 Operation 0 on Machine 0 : 365 + 306 -> 671
Job 1 Operation 0 on Machine 2 : 404 + 264 -> 668
Job 0 Operation 1 on Machine 3 : 404 + 393 -> 797
Job 6 Operation 1 on Machine 1 : 427 + 204 -> 631
Job 1 Operation 1 on Machine 1 : 668 + 318 -> 986
Job 3 Operation 0 on Machine 2 : 668 + 368 -> 1036
Job 5 Operation 2 on Machine 4 : 747 + 29 -> 776
Job 2 Operation 1 on Machine 5 : 747 + 241 -> 988
Job 6 Operation 2 on Machine 4 : 776 + 280 -> 1056
Job 0 Operation 2 on Machine 0 : 797 + 209 -> 1006
Job 5 Operation 3 on Machine 3 : 797 + 374 -> 1171
Job 0 Operation 3 on Machine 5 : 1006 + 275 -> 1281
Job 3 Operation 1 on Machine 0 : 1036 + 348 -> 1384
Job 4 Operation 0 on Machine 2 : 1036 + 57 -> 1093
Job 8 Operation 3 on Machine 2 : 1093 + 180 -> 1273
Job 4 Operation 1 on Machine 4 : 1093 + 67 -> 1160
Job 1 Operation 2 on Machine 3 : 1171 + 329 -> 1500
Job 2 Operation 2 on Machine 2 : 1273 + 402 -> 1675
Job 0 Operation 4 on Machine 1 : 1281 + 53 -> 1334
Job 8 Operation 4 on Machine 5 : 1281 + 280 -> 1561
Job 6 Operation 3 on Machine 0 : 1384 + 203 -> 1587
Job 3 Operation 2 on Machine 4 : 1384 + 135 -> 1519
Job 3 Operation 3 on Machine 3 : 1519 + 294 -> 1813
Job 4 Operation 2 on Machine 5 : 1561 + 223 -> 1784
Job 5 Operation 4 on Machine 0 : 1587 + 95 -> 1682
Job 7 Operation 3 on Machine 2 : 1675 + 406 -> 2081
Job 2 Operation 3 on Machine 4 : 1675 + 403 -> 2078
Job 4 Operation 3 on Machine 1 : 1784 + 30 -> 1814
Job 6 Operation 4 on Machine 3 : 1813 + 278 -> 2091
Job 4 Operation 4 on Machine 0 : 1814 + 368 -> 2182
Job 5 Operation 5 on Machine 1 : 1814 + 46 -> 1860
Job 3 Operation 4 on Machine 1 : 1860 + 436 -> 2296
Job 1 Operation 3 on Machine 4 : 2078 + 25 -> 2103
Job 7 Operation 4 on Machine 5 : 2081 + 244 -> 2325
Job 6 Operation 5 on Machine 2 : 2091 + 394 -> 2485
Job 2 Operation 4 on Machine 3 : 2091 + 445 -> 2536
Job 0 Operation 5 on Machine 4 : 2103 + 208 -> 2311
Job 1 Operation 4 on Machine 0 : 2182 + 78 -> 2260
Job 7 Operation 5 on Machine 4 : 2325 + 93 -> 2418
Job 3 Operation 5 on Machine 5 : 2325 + 280 -> 2605
Job 2 Operation 5 on Machine 1 : 2536 + 350 -> 2886
Job 4 Operation 5 on Machine 3 : 2536 + 210 -> 2746
Job 1 Operation 5 on Machine 5 : 2605 + 273 -> 2878
Job 8 Operation 5 on Machine 3 : 2746 + 143 -> 2889
Makespan: 2889.0, as it is the maximum end completion time of Operation 5 |
8 | 2 | Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 17 mins.
Operation 1 on Machine 0 duration 406 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 150 mins.
Operation 1 on Machine 0 duration 44 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 318 mins.
Operation 1 on Machine 0 duration 371 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 250 mins.
Operation 1 on Machine 0 duration 226 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 364 mins.
Operation 1 on Machine 0 duration 329 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 431 mins.
Operation 1 on Machine 1 duration 143 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 368 mins.
Operation 1 on Machine 1 duration 312 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 385 mins.
Operation 1 on Machine 1 duration 228 mins.
| Optimize schedule for 8 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 431 mins.
Job 6 Operation 0 duration 368 mins.
Job 7 Operation 0 duration 385 mins.
Job 0 Operation 1 duration 406 mins.
Job 1 Operation 1 duration 44 mins.
Job 2 Operation 1 duration 371 mins.
Job 3 Operation 1 duration 226 mins.
Job 4 Operation 1 duration 329 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 17 mins.
Job 1 Operation 0 duration 150 mins.
Job 2 Operation 0 duration 318 mins.
Job 3 Operation 0 duration 250 mins.
Job 4 Operation 0 duration 364 mins.
Job 5 Operation 1 duration 143 mins.
Job 6 Operation 1 duration 312 mins.
Job 7 Operation 1 duration 228 mins.
| Solution:
Job 5 Operation 0 on Machine 0 : 0 + 431 -> 431
Job 0 Operation 0 on Machine 1 : 0 + 17 -> 17
Job 3 Operation 0 on Machine 1 : 17 + 250 -> 267
Job 1 Operation 0 on Machine 1 : 267 + 150 -> 417
Job 7 Operation 0 on Machine 0 : 431 + 385 -> 816
Job 5 Operation 1 on Machine 1 : 431 + 143 -> 574
Job 3 Operation 1 on Machine 0 : 816 + 226 -> 1042
Job 7 Operation 1 on Machine 1 : 816 + 228 -> 1044
Job 1 Operation 1 on Machine 0 : 1042 + 44 -> 1086
Job 4 Operation 0 on Machine 1 : 1044 + 364 -> 1408
Job 6 Operation 0 on Machine 0 : 1086 + 368 -> 1454
Job 2 Operation 0 on Machine 1 : 1408 + 318 -> 1726
Job 4 Operation 1 on Machine 0 : 1454 + 329 -> 1783
Job 6 Operation 1 on Machine 1 : 1726 + 312 -> 2038
Job 2 Operation 1 on Machine 0 : 1783 + 371 -> 2154
Job 0 Operation 1 on Machine 0 : 2154 + 406 -> 2560
Makespan: 2560.0, as it is the maximum end completion time of Operation 1 |
6 | 3 | Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 85 mins.
Operation 1 on Machine 1 duration 101 mins.
Operation 2 on Machine 2 duration 121 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 147 mins.
Operation 1 on Machine 1 duration 24 mins.
Operation 2 on Machine 0 duration 26 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 58 mins.
Operation 1 on Machine 2 duration 23 mins.
Operation 2 on Machine 0 duration 134 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 29 mins.
Operation 1 on Machine 1 duration 121 mins.
Operation 2 on Machine 2 duration 75 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 92 mins.
Operation 1 on Machine 1 duration 58 mins.
Operation 2 on Machine 2 duration 113 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 0 duration 159 mins.
Operation 2 on Machine 2 duration 39 mins.
| Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 85 mins.
Job 3 Operation 0 duration 29 mins.
Job 4 Operation 0 duration 92 mins.
Job 5 Operation 1 duration 159 mins.
Job 1 Operation 2 duration 26 mins.
Job 2 Operation 2 duration 134 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 58 mins.
Job 5 Operation 0 duration 44 mins.
Job 0 Operation 1 duration 101 mins.
Job 1 Operation 1 duration 24 mins.
Job 3 Operation 1 duration 121 mins.
Job 4 Operation 1 duration 58 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 147 mins.
Job 2 Operation 1 duration 23 mins.
Job 0 Operation 2 duration 121 mins.
Job 3 Operation 2 duration 75 mins.
Job 4 Operation 2 duration 113 mins.
Job 5 Operation 2 duration 39 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 92 -> 92
Job 2 Operation 0 on Machine 1 : 0 + 58 -> 58
Job 1 Operation 0 on Machine 2 : 0 + 147 -> 147
Job 5 Operation 0 on Machine 1 : 58 + 44 -> 102
Job 0 Operation 0 on Machine 0 : 92 + 85 -> 177
Job 4 Operation 1 on Machine 1 : 102 + 58 -> 160
Job 2 Operation 1 on Machine 2 : 147 + 23 -> 170
Job 1 Operation 1 on Machine 1 : 160 + 24 -> 184
Job 4 Operation 2 on Machine 2 : 170 + 113 -> 283
Job 3 Operation 0 on Machine 0 : 177 + 29 -> 206
Job 0 Operation 1 on Machine 1 : 184 + 101 -> 285
Job 1 Operation 2 on Machine 0 : 206 + 26 -> 232
Job 5 Operation 1 on Machine 0 : 232 + 159 -> 391
Job 3 Operation 1 on Machine 1 : 285 + 121 -> 406
Job 0 Operation 2 on Machine 2 : 285 + 121 -> 406
Job 2 Operation 2 on Machine 0 : 391 + 134 -> 525
Job 3 Operation 2 on Machine 2 : 406 + 75 -> 481
Job 5 Operation 2 on Machine 2 : 481 + 39 -> 520
Makespan: 525.0, as it is the maximum end completion time of Operation 2 |
5 | 2 | Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 216 mins.
Operation 1 on Machine 0 duration 156 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 141 mins.
Operation 1 on Machine 1 duration 188 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 103 mins.
Operation 1 on Machine 0 duration 398 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 251 mins.
Operation 1 on Machine 1 duration 380 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 149 mins.
Operation 1 on Machine 1 duration 236 mins.
| Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 141 mins.
Job 3 Operation 0 duration 251 mins.
Job 4 Operation 0 duration 149 mins.
Job 0 Operation 1 duration 156 mins.
Job 2 Operation 1 duration 398 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 216 mins.
Job 2 Operation 0 duration 103 mins.
Job 1 Operation 1 duration 188 mins.
Job 3 Operation 1 duration 380 mins.
Job 4 Operation 1 duration 236 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 141 -> 141
Job 2 Operation 0 on Machine 1 : 0 + 103 -> 103
Job 0 Operation 0 on Machine 1 : 103 + 216 -> 319
Job 4 Operation 0 on Machine 0 : 141 + 149 -> 290
Job 3 Operation 0 on Machine 0 : 290 + 251 -> 541
Job 1 Operation 1 on Machine 1 : 319 + 188 -> 507
Job 4 Operation 1 on Machine 1 : 507 + 236 -> 743
Job 0 Operation 1 on Machine 0 : 541 + 156 -> 697
Job 2 Operation 1 on Machine 0 : 697 + 398 -> 1095
Job 3 Operation 1 on Machine 1 : 743 + 380 -> 1123
Makespan: 1123.0, as it is the maximum end completion time of Operation 1 |
6 | 4 | Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 126 mins.
Operation 1 on Machine 3 duration 310 mins.
Operation 2 on Machine 1 duration 293 mins.
Operation 3 on Machine 2 duration 355 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 60 mins.
Operation 1 on Machine 1 duration 306 mins.
Operation 2 on Machine 2 duration 290 mins.
Operation 3 on Machine 3 duration 179 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 27 mins.
Operation 1 on Machine 0 duration 13 mins.
Operation 2 on Machine 3 duration 301 mins.
Operation 3 on Machine 2 duration 311 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 209 mins.
Operation 1 on Machine 1 duration 200 mins.
Operation 2 on Machine 3 duration 204 mins.
Operation 3 on Machine 2 duration 81 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 338 mins.
Operation 1 on Machine 0 duration 172 mins.
Operation 2 on Machine 1 duration 59 mins.
Operation 3 on Machine 2 duration 235 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 272 mins.
Operation 1 on Machine 3 duration 162 mins.
Operation 2 on Machine 0 duration 353 mins.
Operation 3 on Machine 1 duration 231 mins.
| Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 126 mins.
Job 1 Operation 0 duration 60 mins.
Job 3 Operation 0 duration 209 mins.
Job 2 Operation 1 duration 13 mins.
Job 4 Operation 1 duration 172 mins.
Job 5 Operation 2 duration 353 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 27 mins.
Job 1 Operation 1 duration 306 mins.
Job 3 Operation 1 duration 200 mins.
Job 0 Operation 2 duration 293 mins.
Job 4 Operation 2 duration 59 mins.
Job 5 Operation 3 duration 231 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 272 mins.
Job 1 Operation 2 duration 290 mins.
Job 0 Operation 3 duration 355 mins.
Job 2 Operation 3 duration 311 mins.
Job 3 Operation 3 duration 81 mins.
Job 4 Operation 3 duration 235 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 338 mins.
Job 0 Operation 1 duration 310 mins.
Job 5 Operation 1 duration 162 mins.
Job 2 Operation 2 duration 301 mins.
Job 3 Operation 2 duration 204 mins.
Job 1 Operation 3 duration 179 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 60 -> 60
Job 2 Operation 0 on Machine 1 : 0 + 27 -> 27
Job 5 Operation 0 on Machine 2 : 0 + 272 -> 272
Job 4 Operation 0 on Machine 3 : 0 + 338 -> 338
Job 0 Operation 0 on Machine 0 : 60 + 126 -> 186
Job 1 Operation 1 on Machine 1 : 60 + 306 -> 366
Job 3 Operation 0 on Machine 0 : 186 + 209 -> 395
Job 0 Operation 1 on Machine 3 : 338 + 310 -> 648
Job 1 Operation 2 on Machine 2 : 366 + 290 -> 656
Job 4 Operation 1 on Machine 0 : 395 + 172 -> 567
Job 3 Operation 1 on Machine 1 : 395 + 200 -> 595
Job 2 Operation 1 on Machine 0 : 567 + 13 -> 580
Job 4 Operation 2 on Machine 1 : 595 + 59 -> 654
Job 3 Operation 2 on Machine 3 : 648 + 204 -> 852
Job 0 Operation 2 on Machine 1 : 654 + 293 -> 947
Job 4 Operation 3 on Machine 2 : 656 + 235 -> 891
Job 5 Operation 1 on Machine 3 : 852 + 162 -> 1014
Job 3 Operation 3 on Machine 2 : 891 + 81 -> 972
Job 0 Operation 3 on Machine 2 : 972 + 355 -> 1327
Job 5 Operation 2 on Machine 0 : 1014 + 353 -> 1367
Job 2 Operation 2 on Machine 3 : 1014 + 301 -> 1315
Job 1 Operation 3 on Machine 3 : 1315 + 179 -> 1494
Job 2 Operation 3 on Machine 2 : 1327 + 311 -> 1638
Job 5 Operation 3 on Machine 1 : 1367 + 231 -> 1598
Makespan: 1638.0, as it is the maximum end completion time of Operation 3 |
7 | 2 | Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 306 mins.
Operation 1 on Machine 1 duration 182 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 396 mins.
Operation 1 on Machine 0 duration 305 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 217 mins.
Operation 1 on Machine 1 duration 159 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 15 mins.
Operation 1 on Machine 1 duration 48 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 160 mins.
Operation 1 on Machine 1 duration 51 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 67 mins.
Operation 1 on Machine 1 duration 61 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 2 mins.
Operation 1 on Machine 1 duration 295 mins.
| Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 306 mins.
Job 2 Operation 0 duration 217 mins.
Job 3 Operation 0 duration 15 mins.
Job 4 Operation 0 duration 160 mins.
Job 5 Operation 0 duration 67 mins.
Job 6 Operation 0 duration 2 mins.
Job 1 Operation 1 duration 305 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 396 mins.
Job 0 Operation 1 duration 182 mins.
Job 2 Operation 1 duration 159 mins.
Job 3 Operation 1 duration 48 mins.
Job 4 Operation 1 duration 51 mins.
Job 5 Operation 1 duration 61 mins.
Job 6 Operation 1 duration 295 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 2 -> 2
Job 1 Operation 0 on Machine 1 : 0 + 396 -> 396
Job 5 Operation 0 on Machine 0 : 2 + 67 -> 69
Job 3 Operation 0 on Machine 0 : 69 + 15 -> 84
Job 0 Operation 0 on Machine 0 : 84 + 306 -> 390
Job 4 Operation 0 on Machine 0 : 390 + 160 -> 550
Job 0 Operation 1 on Machine 1 : 396 + 182 -> 578
Job 2 Operation 0 on Machine 0 : 550 + 217 -> 767
Job 4 Operation 1 on Machine 1 : 578 + 51 -> 629
Job 5 Operation 1 on Machine 1 : 629 + 61 -> 690
Job 3 Operation 1 on Machine 1 : 690 + 48 -> 738
Job 6 Operation 1 on Machine 1 : 738 + 295 -> 1033
Job 1 Operation 1 on Machine 0 : 767 + 305 -> 1072
Job 2 Operation 1 on Machine 1 : 1033 + 159 -> 1192
Makespan: 1192.0, as it is the maximum end completion time of Operation 1 |
7 | 4 | Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 28 mins.
Operation 1 on Machine 0 duration 27 mins.
Operation 2 on Machine 1 duration 34 mins.
Operation 3 on Machine 2 duration 24 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 38 mins.
Operation 1 on Machine 3 duration 38 mins.
Operation 2 on Machine 0 duration 7 mins.
Operation 3 on Machine 1 duration 32 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 20 mins.
Operation 1 on Machine 1 duration 2 mins.
Operation 2 on Machine 0 duration 27 mins.
Operation 3 on Machine 3 duration 35 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 0 duration 37 mins.
Operation 2 on Machine 2 duration 4 mins.
Operation 3 on Machine 3 duration 16 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 29 mins.
Operation 1 on Machine 1 duration 12 mins.
Operation 2 on Machine 3 duration 22 mins.
Operation 3 on Machine 0 duration 22 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 11 mins.
Operation 1 on Machine 3 duration 34 mins.
Operation 2 on Machine 0 duration 27 mins.
Operation 3 on Machine 1 duration 1 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 39 mins.
Operation 1 on Machine 2 duration 23 mins.
Operation 2 on Machine 1 duration 24 mins.
Operation 3 on Machine 3 duration 31 mins.
| Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 39 mins.
Job 0 Operation 1 duration 27 mins.
Job 3 Operation 1 duration 37 mins.
Job 1 Operation 2 duration 7 mins.
Job 2 Operation 2 duration 27 mins.
Job 5 Operation 2 duration 27 mins.
Job 4 Operation 3 duration 22 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 3 mins.
Job 2 Operation 1 duration 2 mins.
Job 4 Operation 1 duration 12 mins.
Job 0 Operation 2 duration 34 mins.
Job 6 Operation 2 duration 24 mins.
Job 1 Operation 3 duration 32 mins.
Job 5 Operation 3 duration 1 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 38 mins.
Job 2 Operation 0 duration 20 mins.
Job 4 Operation 0 duration 29 mins.
Job 5 Operation 0 duration 11 mins.
Job 6 Operation 1 duration 23 mins.
Job 3 Operation 2 duration 4 mins.
Job 0 Operation 3 duration 24 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 28 mins.
Job 1 Operation 1 duration 38 mins.
Job 5 Operation 1 duration 34 mins.
Job 4 Operation 2 duration 22 mins.
Job 2 Operation 3 duration 35 mins.
Job 3 Operation 3 duration 16 mins.
Job 6 Operation 3 duration 31 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 39 -> 39
Job 3 Operation 0 on Machine 1 : 0 + 3 -> 3
Job 5 Operation 0 on Machine 2 : 0 + 11 -> 11
Job 0 Operation 0 on Machine 3 : 0 + 28 -> 28
Job 4 Operation 0 on Machine 2 : 11 + 29 -> 40
Job 5 Operation 1 on Machine 3 : 28 + 34 -> 62
Job 0 Operation 1 on Machine 0 : 39 + 27 -> 66
Job 4 Operation 1 on Machine 1 : 40 + 12 -> 52
Job 1 Operation 0 on Machine 2 : 40 + 38 -> 78
Job 4 Operation 2 on Machine 3 : 62 + 22 -> 84
Job 3 Operation 1 on Machine 0 : 66 + 37 -> 103
Job 0 Operation 2 on Machine 1 : 66 + 34 -> 100
Job 2 Operation 0 on Machine 2 : 78 + 20 -> 98
Job 1 Operation 1 on Machine 3 : 84 + 38 -> 122
Job 2 Operation 1 on Machine 1 : 100 + 2 -> 102
Job 2 Operation 2 on Machine 0 : 103 + 27 -> 130
Job 3 Operation 2 on Machine 2 : 103 + 4 -> 107
Job 6 Operation 1 on Machine 2 : 107 + 23 -> 130
Job 3 Operation 3 on Machine 3 : 122 + 16 -> 138
Job 4 Operation 3 on Machine 0 : 130 + 22 -> 152
Job 6 Operation 2 on Machine 1 : 130 + 24 -> 154
Job 0 Operation 3 on Machine 2 : 130 + 24 -> 154
Job 2 Operation 3 on Machine 3 : 138 + 35 -> 173
Job 1 Operation 2 on Machine 0 : 152 + 7 -> 159
Job 5 Operation 2 on Machine 0 : 159 + 27 -> 186
Job 1 Operation 3 on Machine 1 : 159 + 32 -> 191
Job 6 Operation 3 on Machine 3 : 173 + 31 -> 204
Job 5 Operation 3 on Machine 1 : 191 + 1 -> 192
Makespan: 204.0, as it is the maximum end completion time of Operation 3 |
20 | 20 | Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 15 duration 34 mins.
Operation 1 on Machine 14 duration 93 mins.
Operation 2 on Machine 11 duration 89 mins.
Operation 3 on Machine 16 duration 26 mins.
Operation 4 on Machine 12 duration 15 mins.
Operation 5 on Machine 2 duration 5 mins.
Operation 6 on Machine 7 duration 40 mins.
Operation 7 on Machine 5 duration 62 mins.
Operation 8 on Machine 19 duration 71 mins.
Operation 9 on Machine 0 duration 68 mins.
Operation 10 on Machine 9 duration 3 mins.
Operation 11 on Machine 13 duration 54 mins.
Operation 12 on Machine 3 duration 40 mins.
Operation 13 on Machine 4 duration 17 mins.
Operation 14 on Machine 18 duration 54 mins.
Operation 15 on Machine 6 duration 85 mins.
Operation 16 on Machine 1 duration 68 mins.
Operation 17 on Machine 10 duration 83 mins.
Operation 18 on Machine 8 duration 26 mins.
Operation 19 on Machine 17 duration 10 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 11 duration 73 mins.
Operation 1 on Machine 8 duration 43 mins.
Operation 2 on Machine 10 duration 98 mins.
Operation 3 on Machine 17 duration 93 mins.
Operation 4 on Machine 7 duration 40 mins.
Operation 5 on Machine 6 duration 84 mins.
Operation 6 on Machine 19 duration 39 mins.
Operation 7 on Machine 9 duration 68 mins.
Operation 8 on Machine 0 duration 49 mins.
Operation 9 on Machine 15 duration 32 mins.
Operation 10 on Machine 2 duration 14 mins.
Operation 11 on Machine 16 duration 77 mins.
Operation 12 on Machine 14 duration 96 mins.
Operation 13 on Machine 13 duration 91 mins.
Operation 14 on Machine 18 duration 15 mins.
Operation 15 on Machine 4 duration 94 mins.
Operation 16 on Machine 12 duration 20 mins.
Operation 17 on Machine 5 duration 96 mins.
Operation 18 on Machine 3 duration 20 mins.
Operation 19 on Machine 1 duration 63 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 24 mins.
Operation 1 on Machine 10 duration 70 mins.
Operation 2 on Machine 11 duration 76 mins.
Operation 3 on Machine 1 duration 57 mins.
Operation 4 on Machine 8 duration 16 mins.
Operation 5 on Machine 5 duration 16 mins.
Operation 6 on Machine 3 duration 63 mins.
Operation 7 on Machine 2 duration 30 mins.
Operation 8 on Machine 19 duration 37 mins.
Operation 9 on Machine 0 duration 81 mins.
Operation 10 on Machine 18 duration 49 mins.
Operation 11 on Machine 7 duration 36 mins.
Operation 12 on Machine 12 duration 72 mins.
Operation 13 on Machine 4 duration 39 mins.
Operation 14 on Machine 14 duration 45 mins.
Operation 15 on Machine 9 duration 84 mins.
Operation 16 on Machine 13 duration 53 mins.
Operation 17 on Machine 15 duration 1 mins.
Operation 18 on Machine 16 duration 89 mins.
Operation 19 on Machine 17 duration 74 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 65 mins.
Operation 1 on Machine 2 duration 32 mins.
Operation 2 on Machine 7 duration 76 mins.
Operation 3 on Machine 5 duration 80 mins.
Operation 4 on Machine 17 duration 80 mins.
Operation 5 on Machine 15 duration 4 mins.
Operation 6 on Machine 19 duration 37 mins.
Operation 7 on Machine 18 duration 11 mins.
Operation 8 on Machine 6 duration 85 mins.
Operation 9 on Machine 0 duration 71 mins.
Operation 10 on Machine 9 duration 43 mins.
Operation 11 on Machine 16 duration 45 mins.
Operation 12 on Machine 13 duration 17 mins.
Operation 13 on Machine 4 duration 56 mins.
Operation 14 on Machine 8 duration 80 mins.
Operation 15 on Machine 12 duration 38 mins.
Operation 16 on Machine 11 duration 81 mins.
Operation 17 on Machine 1 duration 32 mins.
Operation 18 on Machine 14 duration 37 mins.
Operation 19 on Machine 10 duration 78 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 21 mins.
Operation 1 on Machine 15 duration 76 mins.
Operation 2 on Machine 6 duration 13 mins.
Operation 3 on Machine 14 duration 31 mins.
Operation 4 on Machine 4 duration 2 mins.
Operation 5 on Machine 3 duration 23 mins.
Operation 6 on Machine 9 duration 85 mins.
Operation 7 on Machine 10 duration 60 mins.
Operation 8 on Machine 7 duration 30 mins.
Operation 9 on Machine 5 duration 16 mins.
Operation 10 on Machine 11 duration 26 mins.
Operation 11 on Machine 1 duration 4 mins.
Operation 12 on Machine 17 duration 62 mins.
Operation 13 on Machine 0 duration 58 mins.
Operation 14 on Machine 13 duration 14 mins.
Operation 15 on Machine 8 duration 62 mins.
Operation 16 on Machine 12 duration 43 mins.
Operation 17 on Machine 16 duration 15 mins.
Operation 18 on Machine 19 duration 92 mins.
Operation 19 on Machine 18 duration 3 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 18 duration 91 mins.
Operation 1 on Machine 19 duration 79 mins.
Operation 2 on Machine 14 duration 89 mins.
Operation 3 on Machine 16 duration 48 mins.
Operation 4 on Machine 6 duration 65 mins.
Operation 5 on Machine 0 duration 3 mins.
Operation 6 on Machine 10 duration 85 mins.
Operation 7 on Machine 4 duration 77 mins.
Operation 8 on Machine 5 duration 29 mins.
Operation 9 on Machine 9 duration 67 mins.
Operation 10 on Machine 3 duration 87 mins.
Operation 11 on Machine 15 duration 35 mins.
Operation 12 on Machine 11 duration 52 mins.
Operation 13 on Machine 7 duration 72 mins.
Operation 14 on Machine 13 duration 56 mins.
Operation 15 on Machine 12 duration 36 mins.
Operation 16 on Machine 2 duration 71 mins.
Operation 17 on Machine 17 duration 22 mins.
Operation 18 on Machine 1 duration 97 mins.
Operation 19 on Machine 8 duration 41 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 9 duration 48 mins.
Operation 1 on Machine 15 duration 87 mins.
Operation 2 on Machine 6 duration 80 mins.
Operation 3 on Machine 0 duration 59 mins.
Operation 4 on Machine 19 duration 69 mins.
Operation 5 on Machine 14 duration 97 mins.
Operation 6 on Machine 3 duration 56 mins.
Operation 7 on Machine 11 duration 63 mins.
Operation 8 on Machine 8 duration 81 mins.
Operation 9 on Machine 5 duration 15 mins.
Operation 10 on Machine 7 duration 86 mins.
Operation 11 on Machine 2 duration 11 mins.
Operation 12 on Machine 13 duration 73 mins.
Operation 13 on Machine 4 duration 26 mins.
Operation 14 on Machine 18 duration 50 mins.
Operation 15 on Machine 16 duration 25 mins.
Operation 16 on Machine 12 duration 84 mins.
Operation 17 on Machine 10 duration 47 mins.
Operation 18 on Machine 1 duration 63 mins.
Operation 19 on Machine 17 duration 42 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 14 duration 11 mins.
Operation 1 on Machine 4 duration 39 mins.
Operation 2 on Machine 0 duration 57 mins.
Operation 3 on Machine 13 duration 83 mins.
Operation 4 on Machine 18 duration 81 mins.
Operation 5 on Machine 8 duration 27 mins.
Operation 6 on Machine 16 duration 11 mins.
Operation 7 on Machine 2 duration 2 mins.
Operation 8 on Machine 10 duration 15 mins.
Operation 9 on Machine 17 duration 85 mins.
Operation 10 on Machine 19 duration 62 mins.
Operation 11 on Machine 9 duration 6 mins.
Operation 12 on Machine 1 duration 6 mins.
Operation 13 on Machine 5 duration 97 mins.
Operation 14 on Machine 12 duration 47 mins.
Operation 15 on Machine 7 duration 41 mins.
Operation 16 on Machine 6 duration 42 mins.
Operation 17 on Machine 3 duration 76 mins.
Operation 18 on Machine 11 duration 11 mins.
Operation 19 on Machine 15 duration 39 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 84 mins.
Operation 1 on Machine 10 duration 77 mins.
Operation 2 on Machine 4 duration 33 mins.
Operation 3 on Machine 8 duration 50 mins.
Operation 4 on Machine 14 duration 57 mins.
Operation 5 on Machine 18 duration 14 mins.
Operation 6 on Machine 1 duration 84 mins.
Operation 7 on Machine 9 duration 60 mins.
Operation 8 on Machine 3 duration 56 mins.
Operation 9 on Machine 7 duration 90 mins.
Operation 10 on Machine 16 duration 18 mins.
Operation 11 on Machine 2 duration 71 mins.
Operation 12 on Machine 12 duration 42 mins.
Operation 13 on Machine 19 duration 6 mins.
Operation 14 on Machine 15 duration 19 mins.
Operation 15 on Machine 13 duration 49 mins.
Operation 16 on Machine 11 duration 30 mins.
Operation 17 on Machine 17 duration 72 mins.
Operation 18 on Machine 0 duration 54 mins.
Operation 19 on Machine 6 duration 72 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 16 duration 46 mins.
Operation 1 on Machine 6 duration 68 mins.
Operation 2 on Machine 9 duration 39 mins.
Operation 3 on Machine 13 duration 7 mins.
Operation 4 on Machine 19 duration 6 mins.
Operation 5 on Machine 17 duration 51 mins.
Operation 6 on Machine 11 duration 36 mins.
Operation 7 on Machine 4 duration 65 mins.
Operation 8 on Machine 0 duration 45 mins.
Operation 9 on Machine 5 duration 14 mins.
Operation 10 on Machine 18 duration 37 mins.
Operation 11 on Machine 12 duration 17 mins.
Operation 12 on Machine 15 duration 27 mins.
Operation 13 on Machine 10 duration 13 mins.
Operation 14 on Machine 14 duration 79 mins.
Operation 15 on Machine 2 duration 12 mins.
Operation 16 on Machine 3 duration 61 mins.
Operation 17 on Machine 7 duration 84 mins.
Operation 18 on Machine 1 duration 58 mins.
Operation 19 on Machine 8 duration 91 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 16 duration 21 mins.
Operation 1 on Machine 9 duration 10 mins.
Operation 2 on Machine 6 duration 59 mins.
Operation 3 on Machine 0 duration 2 mins.
Operation 4 on Machine 8 duration 24 mins.
Operation 5 on Machine 3 duration 35 mins.
Operation 6 on Machine 17 duration 10 mins.
Operation 7 on Machine 10 duration 3 mins.
Operation 8 on Machine 12 duration 25 mins.
Operation 9 on Machine 13 duration 64 mins.
Operation 10 on Machine 4 duration 27 mins.
Operation 11 on Machine 11 duration 80 mins.
Operation 12 on Machine 19 duration 57 mins.
Operation 13 on Machine 1 duration 40 mins.
Operation 14 on Machine 5 duration 89 mins.
Operation 15 on Machine 15 duration 10 mins.
Operation 16 on Machine 7 duration 16 mins.
Operation 17 on Machine 14 duration 71 mins.
Operation 18 on Machine 18 duration 85 mins.
Operation 19 on Machine 2 duration 86 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 4 duration 32 mins.
Operation 1 on Machine 5 duration 7 mins.
Operation 2 on Machine 18 duration 83 mins.
Operation 3 on Machine 16 duration 39 mins.
Operation 4 on Machine 13 duration 31 mins.
Operation 5 on Machine 0 duration 36 mins.
Operation 6 on Machine 12 duration 61 mins.
Operation 7 on Machine 11 duration 88 mins.
Operation 8 on Machine 17 duration 76 mins.
Operation 9 on Machine 9 duration 39 mins.
Operation 10 on Machine 15 duration 94 mins.
Operation 11 on Machine 14 duration 71 mins.
Operation 12 on Machine 3 duration 8 mins.
Operation 13 on Machine 1 duration 3 mins.
Operation 14 on Machine 19 duration 54 mins.
Operation 15 on Machine 7 duration 17 mins.
Operation 16 on Machine 6 duration 32 mins.
Operation 17 on Machine 10 duration 91 mins.
Operation 18 on Machine 2 duration 69 mins.
Operation 19 on Machine 8 duration 76 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 10 duration 69 mins.
Operation 1 on Machine 18 duration 97 mins.
Operation 2 on Machine 9 duration 13 mins.
Operation 3 on Machine 14 duration 12 mins.
Operation 4 on Machine 0 duration 61 mins.
Operation 5 on Machine 1 duration 6 mins.
Operation 6 on Machine 11 duration 20 mins.
Operation 7 on Machine 2 duration 52 mins.
Operation 8 on Machine 16 duration 10 mins.
Operation 9 on Machine 7 duration 38 mins.
Operation 10 on Machine 17 duration 43 mins.
Operation 11 on Machine 3 duration 68 mins.
Operation 12 on Machine 19 duration 2 mins.
Operation 13 on Machine 15 duration 79 mins.
Operation 14 on Machine 12 duration 31 mins.
Operation 15 on Machine 13 duration 91 mins.
Operation 16 on Machine 6 duration 58 mins.
Operation 17 on Machine 8 duration 38 mins.
Operation 18 on Machine 5 duration 85 mins.
Operation 19 on Machine 4 duration 12 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 19 duration 56 mins.
Operation 1 on Machine 2 duration 5 mins.
Operation 2 on Machine 11 duration 97 mins.
Operation 3 on Machine 16 duration 41 mins.
Operation 4 on Machine 6 duration 91 mins.
Operation 5 on Machine 15 duration 66 mins.
Operation 6 on Machine 7 duration 9 mins.
Operation 7 on Machine 8 duration 95 mins.
Operation 8 on Machine 10 duration 17 mins.
Operation 9 on Machine 14 duration 94 mins.
Operation 10 on Machine 12 duration 47 mins.
Operation 11 on Machine 0 duration 47 mins.
Operation 12 on Machine 3 duration 23 mins.
Operation 13 on Machine 5 duration 43 mins.
Operation 14 on Machine 9 duration 37 mins.
Operation 15 on Machine 1 duration 52 mins.
Operation 16 on Machine 13 duration 89 mins.
Operation 17 on Machine 17 duration 9 mins.
Operation 18 on Machine 18 duration 9 mins.
Operation 19 on Machine 4 duration 55 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 6 duration 92 mins.
Operation 1 on Machine 19 duration 91 mins.
Operation 2 on Machine 16 duration 87 mins.
Operation 3 on Machine 10 duration 74 mins.
Operation 4 on Machine 11 duration 13 mins.
Operation 5 on Machine 1 duration 53 mins.
Operation 6 on Machine 13 duration 32 mins.
Operation 7 on Machine 7 duration 50 mins.
Operation 8 on Machine 9 duration 74 mins.
Operation 9 on Machine 14 duration 24 mins.
Operation 10 on Machine 3 duration 60 mins.
Operation 11 on Machine 0 duration 83 mins.
Operation 12 on Machine 18 duration 85 mins.
Operation 13 on Machine 5 duration 71 mins.
Operation 14 on Machine 12 duration 24 mins.
Operation 15 on Machine 2 duration 35 mins.
Operation 16 on Machine 4 duration 95 mins.
Operation 17 on Machine 15 duration 64 mins.
Operation 18 on Machine 17 duration 26 mins.
Operation 19 on Machine 8 duration 53 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 7 duration 83 mins.
Operation 1 on Machine 2 duration 88 mins.
Operation 2 on Machine 14 duration 62 mins.
Operation 3 on Machine 16 duration 67 mins.
Operation 4 on Machine 15 duration 74 mins.
Operation 5 on Machine 0 duration 84 mins.
Operation 6 on Machine 17 duration 42 mins.
Operation 7 on Machine 19 duration 63 mins.
Operation 8 on Machine 12 duration 41 mins.
Operation 9 on Machine 1 duration 72 mins.
Operation 10 on Machine 5 duration 91 mins.
Operation 11 on Machine 8 duration 10 mins.
Operation 12 on Machine 6 duration 20 mins.
Operation 13 on Machine 13 duration 32 mins.
Operation 14 on Machine 11 duration 78 mins.
Operation 15 on Machine 18 duration 95 mins.
Operation 16 on Machine 9 duration 50 mins.
Operation 17 on Machine 10 duration 74 mins.
Operation 18 on Machine 4 duration 79 mins.
Operation 19 on Machine 3 duration 26 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 5 duration 20 mins.
Operation 1 on Machine 9 duration 5 mins.
Operation 2 on Machine 16 duration 15 mins.
Operation 3 on Machine 14 duration 98 mins.
Operation 4 on Machine 0 duration 5 mins.
Operation 5 on Machine 3 duration 85 mins.
Operation 6 on Machine 7 duration 67 mins.
Operation 7 on Machine 6 duration 92 mins.
Operation 8 on Machine 11 duration 80 mins.
Operation 9 on Machine 17 duration 7 mins.
Operation 10 on Machine 4 duration 52 mins.
Operation 11 on Machine 19 duration 82 mins.
Operation 12 on Machine 1 duration 66 mins.
Operation 13 on Machine 13 duration 57 mins.
Operation 14 on Machine 18 duration 79 mins.
Operation 15 on Machine 2 duration 25 mins.
Operation 16 on Machine 10 duration 6 mins.
Operation 17 on Machine 15 duration 6 mins.
Operation 18 on Machine 8 duration 77 mins.
Operation 19 on Machine 12 duration 36 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 17 duration 93 mins.
Operation 1 on Machine 9 duration 59 mins.
Operation 2 on Machine 5 duration 37 mins.
Operation 3 on Machine 3 duration 59 mins.
Operation 4 on Machine 1 duration 41 mins.
Operation 5 on Machine 4 duration 43 mins.
Operation 6 on Machine 7 duration 9 mins.
Operation 7 on Machine 0 duration 86 mins.
Operation 8 on Machine 8 duration 54 mins.
Operation 9 on Machine 14 duration 98 mins.
Operation 10 on Machine 12 duration 61 mins.
Operation 11 on Machine 16 duration 52 mins.
Operation 12 on Machine 19 duration 83 mins.
Operation 13 on Machine 11 duration 54 mins.
Operation 14 on Machine 13 duration 12 mins.
Operation 15 on Machine 15 duration 62 mins.
Operation 16 on Machine 10 duration 54 mins.
Operation 17 on Machine 6 duration 79 mins.
Operation 18 on Machine 2 duration 10 mins.
Operation 19 on Machine 18 duration 3 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 9 duration 68 mins.
Operation 1 on Machine 15 duration 77 mins.
Operation 2 on Machine 12 duration 23 mins.
Operation 3 on Machine 16 duration 89 mins.
Operation 4 on Machine 4 duration 47 mins.
Operation 5 on Machine 1 duration 75 mins.
Operation 6 on Machine 13 duration 19 mins.
Operation 7 on Machine 8 duration 48 mins.
Operation 8 on Machine 17 duration 43 mins.
Operation 9 on Machine 3 duration 41 mins.
Operation 10 on Machine 6 duration 10 mins.
Operation 11 on Machine 10 duration 4 mins.
Operation 12 on Machine 11 duration 98 mins.
Operation 13 on Machine 19 duration 33 mins.
Operation 14 on Machine 5 duration 96 mins.
Operation 15 on Machine 14 duration 24 mins.
Operation 16 on Machine 2 duration 85 mins.
Operation 17 on Machine 18 duration 38 mins.
Operation 18 on Machine 7 duration 7 mins.
Operation 19 on Machine 0 duration 44 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 4 duration 16 mins.
Operation 1 on Machine 19 duration 16 mins.
Operation 2 on Machine 3 duration 69 mins.
Operation 3 on Machine 8 duration 15 mins.
Operation 4 on Machine 14 duration 30 mins.
Operation 5 on Machine 7 duration 34 mins.
Operation 6 on Machine 18 duration 26 mins.
Operation 7 on Machine 2 duration 54 mins.
Operation 8 on Machine 12 duration 80 mins.
Operation 9 on Machine 0 duration 47 mins.
Operation 10 on Machine 1 duration 18 mins.
Operation 11 on Machine 15 duration 62 mins.
Operation 12 on Machine 13 duration 12 mins.
Operation 13 on Machine 11 duration 36 mins.
Operation 14 on Machine 6 duration 67 mins.
Operation 15 on Machine 10 duration 68 mins.
Operation 16 on Machine 9 duration 88 mins.
Operation 17 on Machine 17 duration 18 mins.
Operation 18 on Machine 16 duration 3 mins.
Operation 19 on Machine 5 duration 91 mins.
| Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 7 Operation 2 duration 57 mins.
Job 6 Operation 3 duration 59 mins.
Job 10 Operation 3 duration 2 mins.
Job 12 Operation 4 duration 61 mins.
Job 16 Operation 4 duration 5 mins.
Job 5 Operation 5 duration 3 mins.
Job 11 Operation 5 duration 36 mins.
Job 15 Operation 5 duration 84 mins.
Job 17 Operation 7 duration 86 mins.
Job 1 Operation 8 duration 49 mins.
Job 9 Operation 8 duration 45 mins.
Job 0 Operation 9 duration 68 mins.
Job 2 Operation 9 duration 81 mins.
Job 3 Operation 9 duration 71 mins.
Job 19 Operation 9 duration 47 mins.
Job 13 Operation 11 duration 47 mins.
Job 14 Operation 11 duration 83 mins.
Job 4 Operation 13 duration 58 mins.
Job 8 Operation 18 duration 54 mins.
Job 18 Operation 19 duration 44 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 3 duration 57 mins.
Job 17 Operation 4 duration 41 mins.
Job 12 Operation 5 duration 6 mins.
Job 14 Operation 5 duration 53 mins.
Job 18 Operation 5 duration 75 mins.
Job 8 Operation 6 duration 84 mins.
Job 15 Operation 9 duration 72 mins.
Job 19 Operation 10 duration 18 mins.
Job 4 Operation 11 duration 4 mins.
Job 7 Operation 12 duration 6 mins.
Job 16 Operation 12 duration 66 mins.
Job 10 Operation 13 duration 40 mins.
Job 11 Operation 13 duration 3 mins.
Job 13 Operation 15 duration 52 mins.
Job 0 Operation 16 duration 68 mins.
Job 3 Operation 17 duration 32 mins.
Job 5 Operation 18 duration 97 mins.
Job 6 Operation 18 duration 63 mins.
Job 9 Operation 18 duration 58 mins.
Job 1 Operation 19 duration 63 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 21 mins.
Job 3 Operation 1 duration 32 mins.
Job 13 Operation 1 duration 5 mins.
Job 15 Operation 1 duration 88 mins.
Job 0 Operation 5 duration 5 mins.
Job 2 Operation 7 duration 30 mins.
Job 7 Operation 7 duration 2 mins.
Job 12 Operation 7 duration 52 mins.
Job 19 Operation 7 duration 54 mins.
Job 1 Operation 10 duration 14 mins.
Job 6 Operation 11 duration 11 mins.
Job 8 Operation 11 duration 71 mins.
Job 9 Operation 15 duration 12 mins.
Job 14 Operation 15 duration 35 mins.
Job 16 Operation 15 duration 25 mins.
Job 5 Operation 16 duration 71 mins.
Job 18 Operation 16 duration 85 mins.
Job 11 Operation 18 duration 69 mins.
Job 17 Operation 18 duration 10 mins.
Job 10 Operation 19 duration 86 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 65 mins.
Job 19 Operation 2 duration 69 mins.
Job 17 Operation 3 duration 59 mins.
Job 4 Operation 5 duration 23 mins.
Job 10 Operation 5 duration 35 mins.
Job 16 Operation 5 duration 85 mins.
Job 2 Operation 6 duration 63 mins.
Job 6 Operation 6 duration 56 mins.
Job 8 Operation 8 duration 56 mins.
Job 18 Operation 9 duration 41 mins.
Job 5 Operation 10 duration 87 mins.
Job 14 Operation 10 duration 60 mins.
Job 12 Operation 11 duration 68 mins.
Job 0 Operation 12 duration 40 mins.
Job 11 Operation 12 duration 8 mins.
Job 13 Operation 12 duration 23 mins.
Job 9 Operation 16 duration 61 mins.
Job 7 Operation 17 duration 76 mins.
Job 1 Operation 18 duration 20 mins.
Job 15 Operation 19 duration 26 mins.
Machine 4 is used for the following Operations:
Job 11 Operation 0 duration 32 mins.
Job 19 Operation 0 duration 16 mins.
Job 7 Operation 1 duration 39 mins.
Job 8 Operation 2 duration 33 mins.
Job 4 Operation 4 duration 2 mins.
Job 18 Operation 4 duration 47 mins.
Job 17 Operation 5 duration 43 mins.
Job 5 Operation 7 duration 77 mins.
Job 9 Operation 7 duration 65 mins.
Job 10 Operation 10 duration 27 mins.
Job 16 Operation 10 duration 52 mins.
Job 0 Operation 13 duration 17 mins.
Job 2 Operation 13 duration 39 mins.
Job 3 Operation 13 duration 56 mins.
Job 6 Operation 13 duration 26 mins.
Job 1 Operation 15 duration 94 mins.
Job 14 Operation 16 duration 95 mins.
Job 15 Operation 18 duration 79 mins.
Job 12 Operation 19 duration 12 mins.
Job 13 Operation 19 duration 55 mins.
Machine 5 is used for the following Operations:
Job 8 Operation 0 duration 84 mins.
Job 16 Operation 0 duration 20 mins.
Job 11 Operation 1 duration 7 mins.
Job 17 Operation 2 duration 37 mins.
Job 3 Operation 3 duration 80 mins.
Job 2 Operation 5 duration 16 mins.
Job 0 Operation 7 duration 62 mins.
Job 5 Operation 8 duration 29 mins.
Job 4 Operation 9 duration 16 mins.
Job 6 Operation 9 duration 15 mins.
Job 9 Operation 9 duration 14 mins.
Job 15 Operation 10 duration 91 mins.
Job 7 Operation 13 duration 97 mins.
Job 13 Operation 13 duration 43 mins.
Job 14 Operation 13 duration 71 mins.
Job 10 Operation 14 duration 89 mins.
Job 18 Operation 14 duration 96 mins.
Job 1 Operation 17 duration 96 mins.
Job 12 Operation 18 duration 85 mins.
Job 19 Operation 19 duration 91 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 24 mins.
Job 14 Operation 0 duration 92 mins.
Job 9 Operation 1 duration 68 mins.
Job 4 Operation 2 duration 13 mins.
Job 6 Operation 2 duration 80 mins.
Job 10 Operation 2 duration 59 mins.
Job 5 Operation 4 duration 65 mins.
Job 13 Operation 4 duration 91 mins.
Job 1 Operation 5 duration 84 mins.
Job 16 Operation 7 duration 92 mins.
Job 3 Operation 8 duration 85 mins.
Job 18 Operation 10 duration 10 mins.
Job 15 Operation 12 duration 20 mins.
Job 19 Operation 14 duration 67 mins.
Job 0 Operation 15 duration 85 mins.
Job 7 Operation 16 duration 42 mins.
Job 11 Operation 16 duration 32 mins.
Job 12 Operation 16 duration 58 mins.
Job 17 Operation 17 duration 79 mins.
Job 8 Operation 19 duration 72 mins.
Machine 7 is used for the following Operations:
Job 15 Operation 0 duration 83 mins.
Job 3 Operation 2 duration 76 mins.
Job 1 Operation 4 duration 40 mins.
Job 19 Operation 5 duration 34 mins.
Job 0 Operation 6 duration 40 mins.
Job 13 Operation 6 duration 9 mins.
Job 16 Operation 6 duration 67 mins.
Job 17 Operation 6 duration 9 mins.
Job 14 Operation 7 duration 50 mins.
Job 4 Operation 8 duration 30 mins.
Job 8 Operation 9 duration 90 mins.
Job 12 Operation 9 duration 38 mins.
Job 6 Operation 10 duration 86 mins.
Job 2 Operation 11 duration 36 mins.
Job 5 Operation 13 duration 72 mins.
Job 7 Operation 15 duration 41 mins.
Job 11 Operation 15 duration 17 mins.
Job 10 Operation 16 duration 16 mins.
Job 9 Operation 17 duration 84 mins.
Job 18 Operation 18 duration 7 mins.
Machine 8 is used for the following Operations:
Job 1 Operation 1 duration 43 mins.
Job 8 Operation 3 duration 50 mins.
Job 19 Operation 3 duration 15 mins.
Job 2 Operation 4 duration 16 mins.
Job 10 Operation 4 duration 24 mins.
Job 7 Operation 5 duration 27 mins.
Job 13 Operation 7 duration 95 mins.
Job 18 Operation 7 duration 48 mins.
Job 6 Operation 8 duration 81 mins.
Job 17 Operation 8 duration 54 mins.
Job 15 Operation 11 duration 10 mins.
Job 3 Operation 14 duration 80 mins.
Job 4 Operation 15 duration 62 mins.
Job 12 Operation 17 duration 38 mins.
Job 0 Operation 18 duration 26 mins.
Job 16 Operation 18 duration 77 mins.
Job 5 Operation 19 duration 41 mins.
Job 9 Operation 19 duration 91 mins.
Job 11 Operation 19 duration 76 mins.
Job 14 Operation 19 duration 53 mins.
Machine 9 is used for the following Operations:
Job 6 Operation 0 duration 48 mins.
Job 18 Operation 0 duration 68 mins.
Job 10 Operation 1 duration 10 mins.
Job 16 Operation 1 duration 5 mins.
Job 17 Operation 1 duration 59 mins.
Job 9 Operation 2 duration 39 mins.
Job 12 Operation 2 duration 13 mins.
Job 4 Operation 6 duration 85 mins.
Job 1 Operation 7 duration 68 mins.
Job 8 Operation 7 duration 60 mins.
Job 14 Operation 8 duration 74 mins.
Job 5 Operation 9 duration 67 mins.
Job 11 Operation 9 duration 39 mins.
Job 0 Operation 10 duration 3 mins.
Job 3 Operation 10 duration 43 mins.
Job 7 Operation 11 duration 6 mins.
Job 13 Operation 14 duration 37 mins.
Job 2 Operation 15 duration 84 mins.
Job 15 Operation 16 duration 50 mins.
Job 19 Operation 16 duration 88 mins.
Machine 10 is used for the following Operations:
Job 12 Operation 0 duration 69 mins.
Job 2 Operation 1 duration 70 mins.
Job 8 Operation 1 duration 77 mins.
Job 1 Operation 2 duration 98 mins.
Job 14 Operation 3 duration 74 mins.
Job 5 Operation 6 duration 85 mins.
Job 4 Operation 7 duration 60 mins.
Job 10 Operation 7 duration 3 mins.
Job 7 Operation 8 duration 15 mins.
Job 13 Operation 8 duration 17 mins.
Job 18 Operation 11 duration 4 mins.
Job 9 Operation 13 duration 13 mins.
Job 19 Operation 15 duration 68 mins.
Job 16 Operation 16 duration 6 mins.
Job 17 Operation 16 duration 54 mins.
Job 0 Operation 17 duration 83 mins.
Job 6 Operation 17 duration 47 mins.
Job 11 Operation 17 duration 91 mins.
Job 15 Operation 17 duration 74 mins.
Job 3 Operation 19 duration 78 mins.
Machine 11 is used for the following Operations:
Job 1 Operation 0 duration 73 mins.
Job 0 Operation 2 duration 89 mins.
Job 2 Operation 2 duration 76 mins.
Job 13 Operation 2 duration 97 mins.
Job 14 Operation 4 duration 13 mins.
Job 9 Operation 6 duration 36 mins.
Job 12 Operation 6 duration 20 mins.
Job 6 Operation 7 duration 63 mins.
Job 11 Operation 7 duration 88 mins.
Job 16 Operation 8 duration 80 mins.
Job 4 Operation 10 duration 26 mins.
Job 10 Operation 11 duration 80 mins.
Job 5 Operation 12 duration 52 mins.
Job 18 Operation 12 duration 98 mins.
Job 17 Operation 13 duration 54 mins.
Job 19 Operation 13 duration 36 mins.
Job 15 Operation 14 duration 78 mins.
Job 3 Operation 16 duration 81 mins.
Job 8 Operation 16 duration 30 mins.
Job 7 Operation 18 duration 11 mins.
Machine 12 is used for the following Operations:
Job 18 Operation 2 duration 23 mins.
Job 0 Operation 4 duration 15 mins.
Job 11 Operation 6 duration 61 mins.
Job 10 Operation 8 duration 25 mins.
Job 15 Operation 8 duration 41 mins.
Job 19 Operation 8 duration 80 mins.
Job 13 Operation 10 duration 47 mins.
Job 17 Operation 10 duration 61 mins.
Job 9 Operation 11 duration 17 mins.
Job 2 Operation 12 duration 72 mins.
Job 8 Operation 12 duration 42 mins.
Job 7 Operation 14 duration 47 mins.
Job 12 Operation 14 duration 31 mins.
Job 14 Operation 14 duration 24 mins.
Job 3 Operation 15 duration 38 mins.
Job 5 Operation 15 duration 36 mins.
Job 1 Operation 16 duration 20 mins.
Job 4 Operation 16 duration 43 mins.
Job 6 Operation 16 duration 84 mins.
Job 16 Operation 19 duration 36 mins.
Machine 13 is used for the following Operations:
Job 7 Operation 3 duration 83 mins.
Job 9 Operation 3 duration 7 mins.
Job 11 Operation 4 duration 31 mins.
Job 14 Operation 6 duration 32 mins.
Job 18 Operation 6 duration 19 mins.
Job 10 Operation 9 duration 64 mins.
Job 0 Operation 11 duration 54 mins.
Job 3 Operation 12 duration 17 mins.
Job 6 Operation 12 duration 73 mins.
Job 19 Operation 12 duration 12 mins.
Job 1 Operation 13 duration 91 mins.
Job 15 Operation 13 duration 32 mins.
Job 16 Operation 13 duration 57 mins.
Job 4 Operation 14 duration 14 mins.
Job 5 Operation 14 duration 56 mins.
Job 17 Operation 14 duration 12 mins.
Job 8 Operation 15 duration 49 mins.
Job 12 Operation 15 duration 91 mins.
Job 2 Operation 16 duration 53 mins.
Job 13 Operation 16 duration 89 mins.
Machine 14 is used for the following Operations:
Job 7 Operation 0 duration 11 mins.
Job 0 Operation 1 duration 93 mins.
Job 5 Operation 2 duration 89 mins.
Job 15 Operation 2 duration 62 mins.
Job 4 Operation 3 duration 31 mins.
Job 12 Operation 3 duration 12 mins.
Job 16 Operation 3 duration 98 mins.
Job 8 Operation 4 duration 57 mins.
Job 19 Operation 4 duration 30 mins.
Job 6 Operation 5 duration 97 mins.
Job 13 Operation 9 duration 94 mins.
Job 14 Operation 9 duration 24 mins.
Job 17 Operation 9 duration 98 mins.
Job 11 Operation 11 duration 71 mins.
Job 1 Operation 12 duration 96 mins.
Job 2 Operation 14 duration 45 mins.
Job 9 Operation 14 duration 79 mins.
Job 18 Operation 15 duration 24 mins.
Job 10 Operation 17 duration 71 mins.
Job 3 Operation 18 duration 37 mins.
Machine 15 is used for the following Operations:
Job 0 Operation 0 duration 34 mins.
Job 4 Operation 1 duration 76 mins.
Job 6 Operation 1 duration 87 mins.
Job 18 Operation 1 duration 77 mins.
Job 15 Operation 4 duration 74 mins.
Job 3 Operation 5 duration 4 mins.
Job 13 Operation 5 duration 66 mins.
Job 1 Operation 9 duration 32 mins.
Job 11 Operation 10 duration 94 mins.
Job 5 Operation 11 duration 35 mins.
Job 19 Operation 11 duration 62 mins.
Job 9 Operation 12 duration 27 mins.
Job 12 Operation 13 duration 79 mins.
Job 8 Operation 14 duration 19 mins.
Job 10 Operation 15 duration 10 mins.
Job 17 Operation 15 duration 62 mins.
Job 2 Operation 17 duration 1 mins.
Job 14 Operation 17 duration 64 mins.
Job 16 Operation 17 duration 6 mins.
Job 7 Operation 19 duration 39 mins.
Machine 16 is used for the following Operations:
Job 9 Operation 0 duration 46 mins.
Job 10 Operation 0 duration 21 mins.
Job 14 Operation 2 duration 87 mins.
Job 16 Operation 2 duration 15 mins.
Job 0 Operation 3 duration 26 mins.
Job 5 Operation 3 duration 48 mins.
Job 11 Operation 3 duration 39 mins.
Job 13 Operation 3 duration 41 mins.
Job 15 Operation 3 duration 67 mins.
Job 18 Operation 3 duration 89 mins.
Job 7 Operation 6 duration 11 mins.
Job 12 Operation 8 duration 10 mins.
Job 8 Operation 10 duration 18 mins.
Job 1 Operation 11 duration 77 mins.
Job 3 Operation 11 duration 45 mins.
Job 17 Operation 11 duration 52 mins.
Job 6 Operation 15 duration 25 mins.
Job 4 Operation 17 duration 15 mins.
Job 2 Operation 18 duration 89 mins.
Job 19 Operation 18 duration 3 mins.
Machine 17 is used for the following Operations:
Job 17 Operation 0 duration 93 mins.
Job 1 Operation 3 duration 93 mins.
Job 3 Operation 4 duration 80 mins.
Job 9 Operation 5 duration 51 mins.
Job 10 Operation 6 duration 10 mins.
Job 15 Operation 6 duration 42 mins.
Job 11 Operation 8 duration 76 mins.
Job 18 Operation 8 duration 43 mins.
Job 7 Operation 9 duration 85 mins.
Job 16 Operation 9 duration 7 mins.
Job 12 Operation 10 duration 43 mins.
Job 4 Operation 12 duration 62 mins.
Job 5 Operation 17 duration 22 mins.
Job 8 Operation 17 duration 72 mins.
Job 13 Operation 17 duration 9 mins.
Job 19 Operation 17 duration 18 mins.
Job 14 Operation 18 duration 26 mins.
Job 0 Operation 19 duration 10 mins.
Job 2 Operation 19 duration 74 mins.
Job 6 Operation 19 duration 42 mins.
Machine 18 is used for the following Operations:
Job 5 Operation 0 duration 91 mins.
Job 12 Operation 1 duration 97 mins.
Job 11 Operation 2 duration 83 mins.
Job 7 Operation 4 duration 81 mins.
Job 8 Operation 5 duration 14 mins.
Job 19 Operation 6 duration 26 mins.
Job 3 Operation 7 duration 11 mins.
Job 2 Operation 10 duration 49 mins.
Job 9 Operation 10 duration 37 mins.
Job 14 Operation 12 duration 85 mins.
Job 0 Operation 14 duration 54 mins.
Job 1 Operation 14 duration 15 mins.
Job 6 Operation 14 duration 50 mins.
Job 16 Operation 14 duration 79 mins.
Job 15 Operation 15 duration 95 mins.
Job 18 Operation 17 duration 38 mins.
Job 10 Operation 18 duration 85 mins.
Job 13 Operation 18 duration 9 mins.
Job 4 Operation 19 duration 3 mins.
Job 17 Operation 19 duration 3 mins.
Machine 19 is used for the following Operations:
Job 13 Operation 0 duration 56 mins.
Job 5 Operation 1 duration 79 mins.
Job 14 Operation 1 duration 91 mins.
Job 19 Operation 1 duration 16 mins.
Job 6 Operation 4 duration 69 mins.
Job 9 Operation 4 duration 6 mins.
Job 1 Operation 6 duration 39 mins.
Job 3 Operation 6 duration 37 mins.
Job 15 Operation 7 duration 63 mins.
Job 0 Operation 8 duration 71 mins.
Job 2 Operation 8 duration 37 mins.
Job 7 Operation 10 duration 62 mins.
Job 16 Operation 11 duration 82 mins.
Job 10 Operation 12 duration 57 mins.
Job 12 Operation 12 duration 2 mins.
Job 17 Operation 12 duration 83 mins.
Job 8 Operation 13 duration 6 mins.
Job 18 Operation 13 duration 33 mins.
Job 11 Operation 14 duration 54 mins.
Job 4 Operation 18 duration 92 mins.
| Solution:
Job 4 Operation 0 on Machine 2 : 0 + 21 -> 21
Job 3 Operation 0 on Machine 3 : 0 + 65 -> 65
Job 19 Operation 0 on Machine 4 : 0 + 16 -> 16
Job 16 Operation 0 on Machine 5 : 0 + 20 -> 20
Job 14 Operation 0 on Machine 6 : 0 + 92 -> 92
Job 15 Operation 0 on Machine 7 : 0 + 83 -> 83
Job 6 Operation 0 on Machine 9 : 0 + 48 -> 48
Job 12 Operation 0 on Machine 10 : 0 + 69 -> 69
Job 1 Operation 0 on Machine 11 : 0 + 73 -> 73
Job 7 Operation 0 on Machine 14 : 0 + 11 -> 11
Job 10 Operation 0 on Machine 16 : 0 + 21 -> 21
Job 17 Operation 0 on Machine 17 : 0 + 93 -> 93
Job 5 Operation 0 on Machine 18 : 0 + 91 -> 91
Job 7 Operation 1 on Machine 4 : 16 + 39 -> 55
Job 19 Operation 1 on Machine 19 : 16 + 16 -> 32
Job 4 Operation 1 on Machine 15 : 21 + 76 -> 97
Job 13 Operation 0 on Machine 19 : 32 + 56 -> 88
Job 10 Operation 1 on Machine 9 : 48 + 10 -> 58
Job 7 Operation 2 on Machine 0 : 55 + 57 -> 112
Job 11 Operation 0 on Machine 4 : 55 + 32 -> 87
Job 16 Operation 1 on Machine 9 : 58 + 5 -> 63
Job 18 Operation 0 on Machine 9 : 63 + 68 -> 131
Job 16 Operation 2 on Machine 16 : 63 + 15 -> 78
Job 3 Operation 1 on Machine 2 : 65 + 32 -> 97
Job 19 Operation 2 on Machine 3 : 65 + 69 -> 134
Job 1 Operation 1 on Machine 8 : 73 + 43 -> 116
Job 16 Operation 3 on Machine 14 : 78 + 98 -> 176
Job 9 Operation 0 on Machine 16 : 78 + 46 -> 124
Job 11 Operation 1 on Machine 5 : 87 + 7 -> 94
Job 12 Operation 1 on Machine 18 : 91 + 97 -> 188
Job 14 Operation 1 on Machine 19 : 92 + 91 -> 183
Job 13 Operation 1 on Machine 2 : 97 + 5 -> 102
Job 4 Operation 2 on Machine 6 : 97 + 13 -> 110
Job 3 Operation 2 on Machine 7 : 97 + 76 -> 173
Job 6 Operation 1 on Machine 15 : 97 + 87 -> 184
Job 15 Operation 1 on Machine 2 : 102 + 88 -> 190
Job 13 Operation 2 on Machine 11 : 102 + 97 -> 199
Job 2 Operation 0 on Machine 6 : 110 + 24 -> 134
Job 7 Operation 3 on Machine 13 : 112 + 83 -> 195
Job 9 Operation 1 on Machine 6 : 134 + 68 -> 202
Job 19 Operation 3 on Machine 8 : 134 + 15 -> 149
Job 2 Operation 1 on Machine 10 : 134 + 70 -> 204
Job 3 Operation 3 on Machine 5 : 173 + 80 -> 253
Job 16 Operation 4 on Machine 0 : 176 + 5 -> 181
Job 16 Operation 5 on Machine 3 : 181 + 85 -> 266
Job 14 Operation 2 on Machine 16 : 183 + 87 -> 270
Job 5 Operation 1 on Machine 19 : 183 + 79 -> 262
Job 18 Operation 1 on Machine 15 : 184 + 77 -> 261
Job 12 Operation 2 on Machine 9 : 188 + 13 -> 201
Job 11 Operation 2 on Machine 18 : 188 + 83 -> 271
Job 17 Operation 1 on Machine 9 : 201 + 59 -> 260
Job 12 Operation 3 on Machine 14 : 201 + 12 -> 213
Job 6 Operation 2 on Machine 6 : 202 + 80 -> 282
Job 2 Operation 2 on Machine 11 : 204 + 76 -> 280
Job 12 Operation 4 on Machine 0 : 213 + 61 -> 274
Job 15 Operation 2 on Machine 14 : 213 + 62 -> 275
Job 3 Operation 4 on Machine 17 : 253 + 80 -> 333
Job 17 Operation 2 on Machine 5 : 260 + 37 -> 297
Job 9 Operation 2 on Machine 9 : 260 + 39 -> 299
Job 18 Operation 2 on Machine 12 : 261 + 23 -> 284
Job 0 Operation 0 on Machine 15 : 261 + 34 -> 295
Job 16 Operation 6 on Machine 7 : 266 + 67 -> 333
Job 14 Operation 3 on Machine 10 : 270 + 74 -> 344
Job 11 Operation 3 on Machine 16 : 271 + 39 -> 310
Job 7 Operation 4 on Machine 18 : 271 + 81 -> 352
Job 12 Operation 5 on Machine 1 : 274 + 6 -> 280
Job 19 Operation 4 on Machine 14 : 275 + 30 -> 305
Job 2 Operation 3 on Machine 1 : 280 + 57 -> 337
Job 12 Operation 6 on Machine 11 : 280 + 20 -> 300
Job 6 Operation 3 on Machine 0 : 282 + 59 -> 341
Job 10 Operation 2 on Machine 6 : 282 + 59 -> 341
Job 17 Operation 3 on Machine 3 : 297 + 59 -> 356
Job 9 Operation 3 on Machine 13 : 299 + 7 -> 306
Job 12 Operation 7 on Machine 2 : 300 + 52 -> 352
Job 4 Operation 3 on Machine 14 : 305 + 31 -> 336
Job 9 Operation 4 on Machine 19 : 306 + 6 -> 312
Job 11 Operation 4 on Machine 13 : 310 + 31 -> 341
Job 13 Operation 3 on Machine 16 : 310 + 41 -> 351
Job 3 Operation 5 on Machine 15 : 333 + 4 -> 337
Job 9 Operation 5 on Machine 17 : 333 + 51 -> 384
Job 4 Operation 4 on Machine 4 : 336 + 2 -> 338
Job 5 Operation 2 on Machine 14 : 336 + 89 -> 425
Job 2 Operation 4 on Machine 8 : 337 + 16 -> 353
Job 3 Operation 6 on Machine 19 : 337 + 37 -> 374
Job 10 Operation 3 on Machine 0 : 341 + 2 -> 343
Job 11 Operation 5 on Machine 0 : 343 + 36 -> 379
Job 1 Operation 2 on Machine 10 : 344 + 98 -> 442
Job 14 Operation 4 on Machine 11 : 344 + 13 -> 357
Job 12 Operation 8 on Machine 16 : 352 + 10 -> 362
Job 2 Operation 5 on Machine 5 : 353 + 16 -> 369
Job 10 Operation 4 on Machine 8 : 353 + 24 -> 377
Job 4 Operation 5 on Machine 3 : 356 + 23 -> 379
Job 14 Operation 5 on Machine 1 : 357 + 53 -> 410
Job 12 Operation 9 on Machine 7 : 362 + 38 -> 400
Job 18 Operation 3 on Machine 16 : 362 + 89 -> 451
Job 8 Operation 0 on Machine 5 : 369 + 84 -> 453
Job 3 Operation 7 on Machine 18 : 374 + 11 -> 385
Job 6 Operation 4 on Machine 19 : 374 + 69 -> 443
Job 7 Operation 5 on Machine 8 : 377 + 27 -> 404
Job 2 Operation 6 on Machine 3 : 379 + 63 -> 442
Job 4 Operation 6 on Machine 9 : 379 + 85 -> 464
Job 11 Operation 6 on Machine 12 : 379 + 61 -> 440
Job 9 Operation 6 on Machine 11 : 384 + 36 -> 420
Job 3 Operation 8 on Machine 6 : 385 + 85 -> 470
Job 19 Operation 5 on Machine 7 : 400 + 34 -> 434
Job 12 Operation 10 on Machine 17 : 400 + 43 -> 443
Job 17 Operation 4 on Machine 1 : 410 + 41 -> 451
Job 14 Operation 6 on Machine 13 : 410 + 32 -> 442
Job 9 Operation 7 on Machine 4 : 420 + 65 -> 485
Job 19 Operation 6 on Machine 18 : 434 + 26 -> 460
Job 11 Operation 7 on Machine 11 : 440 + 88 -> 528
Job 14 Operation 7 on Machine 7 : 442 + 50 -> 492
Job 12 Operation 11 on Machine 3 : 443 + 68 -> 511
Job 6 Operation 5 on Machine 14 : 443 + 97 -> 540
Job 1 Operation 3 on Machine 17 : 443 + 93 -> 536
Job 7 Operation 6 on Machine 16 : 451 + 11 -> 462
Job 7 Operation 7 on Machine 2 : 462 + 2 -> 464
Job 5 Operation 3 on Machine 16 : 462 + 48 -> 510
Job 19 Operation 7 on Machine 2 : 464 + 54 -> 518
Job 7 Operation 8 on Machine 10 : 464 + 15 -> 479
Job 3 Operation 9 on Machine 0 : 470 + 71 -> 541
Job 8 Operation 1 on Machine 10 : 479 + 77 -> 556
Job 18 Operation 4 on Machine 4 : 485 + 47 -> 532
Job 5 Operation 4 on Machine 6 : 510 + 65 -> 575
Job 15 Operation 3 on Machine 16 : 510 + 67 -> 577
Job 12 Operation 12 on Machine 19 : 511 + 2 -> 513
Job 12 Operation 13 on Machine 15 : 513 + 79 -> 592
Job 2 Operation 7 on Machine 2 : 518 + 30 -> 548
Job 19 Operation 8 on Machine 12 : 518 + 80 -> 598
Job 18 Operation 5 on Machine 1 : 532 + 75 -> 607
Job 1 Operation 4 on Machine 7 : 536 + 40 -> 576
Job 11 Operation 8 on Machine 17 : 536 + 76 -> 612
Job 6 Operation 6 on Machine 3 : 540 + 56 -> 596
Job 0 Operation 1 on Machine 14 : 540 + 93 -> 633
Job 9 Operation 8 on Machine 0 : 541 + 45 -> 586
Job 3 Operation 10 on Machine 9 : 541 + 43 -> 584
Job 2 Operation 8 on Machine 19 : 548 + 37 -> 585
Job 8 Operation 2 on Machine 4 : 556 + 33 -> 589
Job 4 Operation 7 on Machine 10 : 556 + 60 -> 616
Job 1 Operation 5 on Machine 6 : 576 + 84 -> 660
Job 3 Operation 11 on Machine 16 : 584 + 45 -> 629
Job 5 Operation 5 on Machine 0 : 586 + 3 -> 589
Job 9 Operation 9 on Machine 5 : 586 + 14 -> 600
Job 2 Operation 9 on Machine 0 : 589 + 81 -> 670
Job 17 Operation 5 on Machine 4 : 589 + 43 -> 632
Job 8 Operation 3 on Machine 8 : 589 + 50 -> 639
Job 15 Operation 4 on Machine 15 : 592 + 74 -> 666
Job 10 Operation 5 on Machine 3 : 596 + 35 -> 631
Job 6 Operation 7 on Machine 11 : 596 + 63 -> 659
Job 12 Operation 14 on Machine 12 : 598 + 31 -> 629
Job 9 Operation 10 on Machine 18 : 600 + 37 -> 637
Job 18 Operation 6 on Machine 13 : 607 + 19 -> 626
Job 11 Operation 9 on Machine 9 : 612 + 39 -> 651
Job 7 Operation 9 on Machine 17 : 612 + 85 -> 697
Job 5 Operation 6 on Machine 10 : 616 + 85 -> 701
Job 3 Operation 12 on Machine 13 : 629 + 17 -> 646
Job 17 Operation 6 on Machine 7 : 632 + 9 -> 641
Job 9 Operation 11 on Machine 12 : 637 + 17 -> 654
Job 18 Operation 7 on Machine 8 : 639 + 48 -> 687
Job 8 Operation 4 on Machine 14 : 639 + 57 -> 696
Job 4 Operation 8 on Machine 7 : 641 + 30 -> 671
Job 3 Operation 13 on Machine 4 : 646 + 56 -> 702
Job 12 Operation 15 on Machine 13 : 646 + 91 -> 737
Job 14 Operation 8 on Machine 9 : 651 + 74 -> 725
Job 13 Operation 4 on Machine 6 : 660 + 91 -> 751
Job 1 Operation 6 on Machine 19 : 660 + 39 -> 699
Job 11 Operation 10 on Machine 15 : 666 + 94 -> 760
Job 15 Operation 5 on Machine 0 : 670 + 84 -> 754
Job 4 Operation 9 on Machine 5 : 671 + 16 -> 687
Job 4 Operation 10 on Machine 11 : 687 + 26 -> 713
Job 8 Operation 5 on Machine 18 : 696 + 14 -> 710
Job 18 Operation 8 on Machine 17 : 697 + 43 -> 740
Job 7 Operation 10 on Machine 19 : 699 + 62 -> 761
Job 5 Operation 7 on Machine 4 : 702 + 77 -> 779
Job 3 Operation 14 on Machine 8 : 702 + 80 -> 782
Job 2 Operation 10 on Machine 18 : 710 + 49 -> 759
Job 4 Operation 11 on Machine 1 : 713 + 4 -> 717
Job 0 Operation 2 on Machine 11 : 713 + 89 -> 802
Job 8 Operation 6 on Machine 1 : 717 + 84 -> 801
Job 1 Operation 7 on Machine 9 : 725 + 68 -> 793
Job 14 Operation 9 on Machine 14 : 725 + 24 -> 749
Job 18 Operation 9 on Machine 3 : 740 + 41 -> 781
Job 10 Operation 6 on Machine 17 : 740 + 10 -> 750
Job 10 Operation 7 on Machine 10 : 750 + 3 -> 753
Job 12 Operation 16 on Machine 6 : 751 + 58 -> 809
Job 10 Operation 8 on Machine 12 : 753 + 25 -> 778
Job 17 Operation 7 on Machine 0 : 754 + 86 -> 840
Job 15 Operation 6 on Machine 17 : 754 + 42 -> 796
Job 2 Operation 11 on Machine 7 : 759 + 36 -> 795
Job 11 Operation 11 on Machine 14 : 760 + 71 -> 831
Job 9 Operation 12 on Machine 15 : 760 + 27 -> 787
Job 10 Operation 9 on Machine 13 : 778 + 64 -> 842
Job 5 Operation 8 on Machine 5 : 779 + 29 -> 808
Job 14 Operation 10 on Machine 3 : 781 + 60 -> 841
Job 6 Operation 8 on Machine 8 : 782 + 81 -> 863
Job 3 Operation 15 on Machine 12 : 782 + 38 -> 820
Job 9 Operation 13 on Machine 10 : 787 + 13 -> 800
Job 13 Operation 5 on Machine 15 : 787 + 66 -> 853
Job 7 Operation 11 on Machine 9 : 793 + 6 -> 799
Job 4 Operation 12 on Machine 17 : 796 + 62 -> 858
Job 15 Operation 7 on Machine 19 : 796 + 63 -> 859
Job 7 Operation 12 on Machine 1 : 801 + 6 -> 807
Job 0 Operation 3 on Machine 16 : 802 + 26 -> 828
Job 7 Operation 13 on Machine 5 : 808 + 97 -> 905
Job 5 Operation 9 on Machine 9 : 808 + 67 -> 875
Job 16 Operation 7 on Machine 6 : 809 + 92 -> 901
Job 3 Operation 16 on Machine 11 : 820 + 81 -> 901
Job 0 Operation 4 on Machine 12 : 828 + 15 -> 843
Job 9 Operation 14 on Machine 14 : 831 + 79 -> 910
Job 1 Operation 8 on Machine 0 : 840 + 49 -> 889
Job 11 Operation 12 on Machine 3 : 841 + 8 -> 849
Job 10 Operation 10 on Machine 4 : 842 + 27 -> 869
Job 0 Operation 5 on Machine 2 : 843 + 5 -> 848
Job 11 Operation 13 on Machine 1 : 849 + 3 -> 852
Job 13 Operation 6 on Machine 7 : 853 + 9 -> 862
Job 15 Operation 8 on Machine 12 : 859 + 41 -> 900
Job 11 Operation 14 on Machine 19 : 859 + 54 -> 913
Job 0 Operation 6 on Machine 7 : 862 + 40 -> 902
Job 12 Operation 17 on Machine 8 : 863 + 38 -> 901
Job 5 Operation 10 on Machine 3 : 875 + 87 -> 962
Job 8 Operation 7 on Machine 9 : 875 + 60 -> 935
Job 19 Operation 9 on Machine 0 : 889 + 47 -> 936
Job 1 Operation 9 on Machine 15 : 889 + 32 -> 921
Job 3 Operation 17 on Machine 1 : 901 + 32 -> 933
Job 18 Operation 10 on Machine 6 : 901 + 10 -> 911
Job 17 Operation 8 on Machine 8 : 901 + 54 -> 955
Job 16 Operation 8 on Machine 11 : 901 + 80 -> 981
Job 6 Operation 9 on Machine 5 : 905 + 15 -> 920
Job 7 Operation 14 on Machine 12 : 905 + 47 -> 952
Job 9 Operation 15 on Machine 2 : 910 + 12 -> 922
Job 18 Operation 11 on Machine 10 : 911 + 4 -> 915
Job 11 Operation 15 on Machine 7 : 913 + 17 -> 930
Job 0 Operation 7 on Machine 5 : 920 + 62 -> 982
Job 1 Operation 10 on Machine 2 : 922 + 14 -> 936
Job 11 Operation 16 on Machine 6 : 930 + 32 -> 962
Job 6 Operation 10 on Machine 7 : 930 + 86 -> 1016
Job 15 Operation 9 on Machine 1 : 933 + 72 -> 1005
Job 3 Operation 18 on Machine 14 : 933 + 37 -> 970
Job 14 Operation 11 on Machine 0 : 936 + 83 -> 1019
Job 1 Operation 11 on Machine 16 : 936 + 77 -> 1013
Job 2 Operation 12 on Machine 12 : 952 + 72 -> 1024
Job 13 Operation 7 on Machine 8 : 955 + 95 -> 1050
Job 8 Operation 8 on Machine 3 : 962 + 56 -> 1018
Job 5 Operation 11 on Machine 15 : 962 + 35 -> 997
Job 3 Operation 19 on Machine 10 : 970 + 78 -> 1048
Job 17 Operation 9 on Machine 14 : 970 + 98 -> 1068
Job 16 Operation 9 on Machine 17 : 981 + 7 -> 988
Job 0 Operation 8 on Machine 19 : 982 + 71 -> 1053
Job 16 Operation 10 on Machine 4 : 988 + 52 -> 1040
Job 5 Operation 12 on Machine 11 : 997 + 52 -> 1049
Job 19 Operation 10 on Machine 1 : 1005 + 18 -> 1023
Job 15 Operation 10 on Machine 5 : 1005 + 91 -> 1096
Job 6 Operation 11 on Machine 2 : 1016 + 11 -> 1027
Job 9 Operation 16 on Machine 3 : 1018 + 61 -> 1079
Job 8 Operation 9 on Machine 7 : 1018 + 90 -> 1108
Job 14 Operation 12 on Machine 18 : 1019 + 85 -> 1104
Job 19 Operation 11 on Machine 15 : 1023 + 62 -> 1085
Job 6 Operation 12 on Machine 13 : 1027 + 73 -> 1100
Job 2 Operation 13 on Machine 4 : 1040 + 39 -> 1079
Job 11 Operation 17 on Machine 10 : 1048 + 91 -> 1139
Job 18 Operation 12 on Machine 11 : 1049 + 98 -> 1147
Job 0 Operation 9 on Machine 0 : 1053 + 68 -> 1121
Job 16 Operation 11 on Machine 19 : 1053 + 82 -> 1135
Job 17 Operation 10 on Machine 12 : 1068 + 61 -> 1129
Job 1 Operation 12 on Machine 14 : 1068 + 96 -> 1164
Job 15 Operation 11 on Machine 8 : 1096 + 10 -> 1106
Job 6 Operation 13 on Machine 4 : 1100 + 26 -> 1126
Job 19 Operation 12 on Machine 13 : 1100 + 12 -> 1112
Job 14 Operation 13 on Machine 5 : 1104 + 71 -> 1175
Job 15 Operation 12 on Machine 6 : 1106 + 20 -> 1126
Job 9 Operation 17 on Machine 7 : 1108 + 84 -> 1192
Job 8 Operation 10 on Machine 16 : 1108 + 18 -> 1126
Job 4 Operation 13 on Machine 0 : 1121 + 58 -> 1179
Job 0 Operation 10 on Machine 9 : 1121 + 3 -> 1124
Job 0 Operation 11 on Machine 13 : 1124 + 54 -> 1178
Job 8 Operation 11 on Machine 2 : 1126 + 71 -> 1197
Job 6 Operation 14 on Machine 18 : 1126 + 50 -> 1176
Job 17 Operation 11 on Machine 16 : 1129 + 52 -> 1181
Job 13 Operation 8 on Machine 10 : 1139 + 17 -> 1156
Job 19 Operation 13 on Machine 11 : 1147 + 36 -> 1183
Job 18 Operation 13 on Machine 19 : 1147 + 33 -> 1180
Job 13 Operation 9 on Machine 14 : 1164 + 94 -> 1258
Job 14 Operation 14 on Machine 12 : 1175 + 24 -> 1199
Job 0 Operation 12 on Machine 3 : 1178 + 40 -> 1218
Job 15 Operation 13 on Machine 13 : 1178 + 32 -> 1210
Job 18 Operation 14 on Machine 5 : 1180 + 96 -> 1276
Job 6 Operation 15 on Machine 16 : 1181 + 25 -> 1206
Job 17 Operation 12 on Machine 19 : 1181 + 83 -> 1264
Job 19 Operation 14 on Machine 6 : 1183 + 67 -> 1250
Job 10 Operation 11 on Machine 11 : 1183 + 80 -> 1263
Job 9 Operation 18 on Machine 1 : 1192 + 58 -> 1250
Job 5 Operation 13 on Machine 7 : 1192 + 72 -> 1264
Job 14 Operation 15 on Machine 2 : 1199 + 35 -> 1234
Job 6 Operation 16 on Machine 12 : 1206 + 84 -> 1290
Job 1 Operation 13 on Machine 13 : 1210 + 91 -> 1301
Job 0 Operation 13 on Machine 4 : 1218 + 17 -> 1235
Job 11 Operation 18 on Machine 2 : 1234 + 69 -> 1303
Job 14 Operation 16 on Machine 4 : 1235 + 95 -> 1330
Job 0 Operation 14 on Machine 18 : 1235 + 54 -> 1289
Job 16 Operation 12 on Machine 1 : 1250 + 66 -> 1316
Job 9 Operation 19 on Machine 8 : 1250 + 91 -> 1341
Job 2 Operation 14 on Machine 14 : 1258 + 45 -> 1303
Job 15 Operation 14 on Machine 11 : 1263 + 78 -> 1341
Job 7 Operation 15 on Machine 7 : 1264 + 41 -> 1305
Job 10 Operation 12 on Machine 19 : 1264 + 57 -> 1321
Job 12 Operation 18 on Machine 5 : 1276 + 85 -> 1361
Job 0 Operation 15 on Machine 6 : 1289 + 85 -> 1374
Job 6 Operation 17 on Machine 10 : 1290 + 47 -> 1337
Job 8 Operation 12 on Machine 12 : 1290 + 42 -> 1332
Job 5 Operation 14 on Machine 13 : 1301 + 56 -> 1357
Job 1 Operation 14 on Machine 18 : 1301 + 15 -> 1316
Job 2 Operation 15 on Machine 9 : 1303 + 84 -> 1387
Job 18 Operation 15 on Machine 14 : 1303 + 24 -> 1327
Job 10 Operation 13 on Machine 1 : 1321 + 40 -> 1361
Job 18 Operation 16 on Machine 2 : 1327 + 85 -> 1412
Job 1 Operation 15 on Machine 4 : 1330 + 94 -> 1424
Job 13 Operation 10 on Machine 12 : 1332 + 47 -> 1379
Job 8 Operation 13 on Machine 19 : 1332 + 6 -> 1338
Job 19 Operation 15 on Machine 10 : 1337 + 68 -> 1405
Job 8 Operation 14 on Machine 15 : 1338 + 19 -> 1357
Job 11 Operation 19 on Machine 8 : 1341 + 76 -> 1417
Job 17 Operation 13 on Machine 11 : 1341 + 54 -> 1395
Job 15 Operation 15 on Machine 18 : 1341 + 95 -> 1436
Job 8 Operation 15 on Machine 13 : 1357 + 49 -> 1406
Job 14 Operation 17 on Machine 15 : 1357 + 64 -> 1421
Job 10 Operation 14 on Machine 5 : 1361 + 89 -> 1450
Job 0 Operation 16 on Machine 1 : 1374 + 68 -> 1442
Job 7 Operation 16 on Machine 6 : 1374 + 42 -> 1416
Job 13 Operation 11 on Machine 0 : 1379 + 47 -> 1426
Job 5 Operation 15 on Machine 12 : 1379 + 36 -> 1415
Job 8 Operation 16 on Machine 11 : 1406 + 30 -> 1436
Job 17 Operation 14 on Machine 13 : 1406 + 12 -> 1418
Job 5 Operation 16 on Machine 2 : 1415 + 71 -> 1486
Job 4 Operation 14 on Machine 13 : 1418 + 14 -> 1432
Job 12 Operation 19 on Machine 4 : 1424 + 12 -> 1436
Job 1 Operation 16 on Machine 12 : 1424 + 20 -> 1444
Job 13 Operation 12 on Machine 3 : 1426 + 23 -> 1449
Job 4 Operation 15 on Machine 8 : 1432 + 62 -> 1494
Job 16 Operation 13 on Machine 13 : 1432 + 57 -> 1489
Job 15 Operation 16 on Machine 9 : 1436 + 50 -> 1486
Job 8 Operation 17 on Machine 17 : 1436 + 72 -> 1508
Job 18 Operation 17 on Machine 18 : 1436 + 38 -> 1474
Job 6 Operation 18 on Machine 1 : 1442 + 63 -> 1505
Job 0 Operation 17 on Machine 10 : 1442 + 83 -> 1525
Job 7 Operation 17 on Machine 3 : 1449 + 76 -> 1525
Job 13 Operation 13 on Machine 5 : 1450 + 43 -> 1493
Job 10 Operation 15 on Machine 15 : 1450 + 10 -> 1460
Job 10 Operation 16 on Machine 7 : 1460 + 16 -> 1476
Job 17 Operation 15 on Machine 15 : 1460 + 62 -> 1522
Job 18 Operation 18 on Machine 7 : 1476 + 7 -> 1483
Job 10 Operation 17 on Machine 14 : 1476 + 71 -> 1547
Job 18 Operation 19 on Machine 0 : 1483 + 44 -> 1527
Job 2 Operation 16 on Machine 13 : 1489 + 53 -> 1542
Job 16 Operation 14 on Machine 18 : 1489 + 79 -> 1568
Job 1 Operation 17 on Machine 5 : 1493 + 96 -> 1589
Job 13 Operation 14 on Machine 9 : 1493 + 37 -> 1530
Job 4 Operation 16 on Machine 12 : 1494 + 43 -> 1537
Job 5 Operation 17 on Machine 17 : 1508 + 22 -> 1530
Job 0 Operation 18 on Machine 8 : 1525 + 26 -> 1551
Job 15 Operation 17 on Machine 10 : 1525 + 74 -> 1599
Job 7 Operation 18 on Machine 11 : 1525 + 11 -> 1536
Job 8 Operation 18 on Machine 0 : 1527 + 54 -> 1581
Job 13 Operation 15 on Machine 1 : 1530 + 52 -> 1582
Job 19 Operation 16 on Machine 9 : 1530 + 88 -> 1618
Job 14 Operation 18 on Machine 17 : 1530 + 26 -> 1556
Job 4 Operation 17 on Machine 16 : 1537 + 15 -> 1552
Job 2 Operation 17 on Machine 15 : 1542 + 1 -> 1543
Job 7 Operation 19 on Machine 15 : 1543 + 39 -> 1582
Job 2 Operation 18 on Machine 16 : 1552 + 89 -> 1641
Job 4 Operation 18 on Machine 19 : 1552 + 92 -> 1644
Job 14 Operation 19 on Machine 8 : 1556 + 53 -> 1609
Job 6 Operation 19 on Machine 17 : 1556 + 42 -> 1598
Job 16 Operation 15 on Machine 2 : 1568 + 25 -> 1593
Job 10 Operation 18 on Machine 18 : 1568 + 85 -> 1653
Job 8 Operation 19 on Machine 6 : 1581 + 72 -> 1653
Job 5 Operation 18 on Machine 1 : 1582 + 97 -> 1679
Job 13 Operation 16 on Machine 13 : 1582 + 89 -> 1671
Job 1 Operation 18 on Machine 3 : 1589 + 20 -> 1609
Job 0 Operation 19 on Machine 17 : 1598 + 10 -> 1608
Job 15 Operation 18 on Machine 4 : 1599 + 79 -> 1678
Job 16 Operation 16 on Machine 10 : 1599 + 6 -> 1605
Job 17 Operation 16 on Machine 10 : 1605 + 54 -> 1659
Job 16 Operation 17 on Machine 15 : 1605 + 6 -> 1611
Job 16 Operation 18 on Machine 8 : 1611 + 77 -> 1688
Job 19 Operation 17 on Machine 17 : 1618 + 18 -> 1636
Job 19 Operation 18 on Machine 16 : 1641 + 3 -> 1644
Job 19 Operation 19 on Machine 5 : 1644 + 91 -> 1735
Job 10 Operation 19 on Machine 2 : 1653 + 86 -> 1739
Job 4 Operation 19 on Machine 18 : 1653 + 3 -> 1656
Job 17 Operation 17 on Machine 6 : 1659 + 79 -> 1738
Job 13 Operation 17 on Machine 17 : 1671 + 9 -> 1680
Job 15 Operation 19 on Machine 3 : 1678 + 26 -> 1704
Job 1 Operation 19 on Machine 1 : 1679 + 63 -> 1742
Job 2 Operation 19 on Machine 17 : 1680 + 74 -> 1754
Job 13 Operation 18 on Machine 18 : 1680 + 9 -> 1689
Job 5 Operation 19 on Machine 8 : 1688 + 41 -> 1729
Job 16 Operation 19 on Machine 12 : 1688 + 36 -> 1724
Job 13 Operation 19 on Machine 4 : 1689 + 55 -> 1744
Job 17 Operation 18 on Machine 2 : 1739 + 10 -> 1749
Job 17 Operation 19 on Machine 18 : 1749 + 3 -> 1752
Makespan: 1754.0, as it is the maximum end completion time of Operation 19 |
6 | 5 | Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 43 mins.
Operation 1 on Machine 4 duration 103 mins.
Operation 2 on Machine 1 duration 9 mins.
Operation 3 on Machine 0 duration 109 mins.
Operation 4 on Machine 3 duration 36 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 90 mins.
Operation 1 on Machine 4 duration 84 mins.
Operation 2 on Machine 1 duration 73 mins.
Operation 3 on Machine 2 duration 39 mins.
Operation 4 on Machine 3 duration 37 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 91 mins.
Operation 1 on Machine 3 duration 32 mins.
Operation 2 on Machine 4 duration 24 mins.
Operation 3 on Machine 1 duration 55 mins.
Operation 4 on Machine 2 duration 90 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 57 mins.
Operation 1 on Machine 1 duration 20 mins.
Operation 2 on Machine 2 duration 97 mins.
Operation 3 on Machine 0 duration 68 mins.
Operation 4 on Machine 4 duration 83 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 67 mins.
Operation 1 on Machine 0 duration 47 mins.
Operation 2 on Machine 3 duration 106 mins.
Operation 3 on Machine 4 duration 26 mins.
Operation 4 on Machine 2 duration 27 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 59 mins.
Operation 1 on Machine 4 duration 39 mins.
Operation 2 on Machine 2 duration 36 mins.
Operation 3 on Machine 1 duration 88 mins.
Operation 4 on Machine 0 duration 59 mins.
| Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 90 mins.
Job 2 Operation 0 duration 91 mins.
Job 4 Operation 1 duration 47 mins.
Job 0 Operation 3 duration 109 mins.
Job 3 Operation 3 duration 68 mins.
Job 5 Operation 4 duration 59 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 67 mins.
Job 3 Operation 1 duration 20 mins.
Job 0 Operation 2 duration 9 mins.
Job 1 Operation 2 duration 73 mins.
Job 2 Operation 3 duration 55 mins.
Job 5 Operation 3 duration 88 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 43 mins.
Job 3 Operation 2 duration 97 mins.
Job 5 Operation 2 duration 36 mins.
Job 1 Operation 3 duration 39 mins.
Job 2 Operation 4 duration 90 mins.
Job 4 Operation 4 duration 27 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 57 mins.
Job 5 Operation 0 duration 59 mins.
Job 2 Operation 1 duration 32 mins.
Job 4 Operation 2 duration 106 mins.
Job 0 Operation 4 duration 36 mins.
Job 1 Operation 4 duration 37 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 103 mins.
Job 1 Operation 1 duration 84 mins.
Job 5 Operation 1 duration 39 mins.
Job 2 Operation 2 duration 24 mins.
Job 4 Operation 3 duration 26 mins.
Job 3 Operation 4 duration 83 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 90 -> 90
Job 4 Operation 0 on Machine 1 : 0 + 67 -> 67
Job 0 Operation 0 on Machine 2 : 0 + 43 -> 43
Job 5 Operation 0 on Machine 3 : 0 + 59 -> 59
Job 3 Operation 0 on Machine 3 : 59 + 57 -> 116
Job 5 Operation 1 on Machine 4 : 59 + 39 -> 98
Job 4 Operation 1 on Machine 0 : 90 + 47 -> 137
Job 5 Operation 2 on Machine 2 : 98 + 36 -> 134
Job 1 Operation 1 on Machine 4 : 98 + 84 -> 182
Job 3 Operation 1 on Machine 1 : 116 + 20 -> 136
Job 5 Operation 3 on Machine 1 : 136 + 88 -> 224
Job 3 Operation 2 on Machine 2 : 136 + 97 -> 233
Job 2 Operation 0 on Machine 0 : 137 + 91 -> 228
Job 4 Operation 2 on Machine 3 : 137 + 106 -> 243
Job 0 Operation 1 on Machine 4 : 182 + 103 -> 285
Job 1 Operation 2 on Machine 1 : 224 + 73 -> 297
Job 3 Operation 3 on Machine 0 : 233 + 68 -> 301
Job 2 Operation 1 on Machine 3 : 243 + 32 -> 275
Job 2 Operation 2 on Machine 4 : 285 + 24 -> 309
Job 0 Operation 2 on Machine 1 : 297 + 9 -> 306
Job 1 Operation 3 on Machine 2 : 297 + 39 -> 336
Job 0 Operation 3 on Machine 0 : 306 + 109 -> 415
Job 2 Operation 3 on Machine 1 : 309 + 55 -> 364
Job 4 Operation 3 on Machine 4 : 309 + 26 -> 335
Job 3 Operation 4 on Machine 4 : 335 + 83 -> 418
Job 4 Operation 4 on Machine 2 : 336 + 27 -> 363
Job 1 Operation 4 on Machine 3 : 336 + 37 -> 373
Job 2 Operation 4 on Machine 2 : 364 + 90 -> 454
Job 5 Operation 4 on Machine 0 : 415 + 59 -> 474
Job 0 Operation 4 on Machine 3 : 415 + 36 -> 451
Makespan: 474.0, as it is the maximum end completion time of Operation 4 |
10 | 8 | Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 107 mins.
Operation 1 on Machine 4 duration 88 mins.
Operation 2 on Machine 1 duration 42 mins.
Operation 3 on Machine 0 duration 79 mins.
Operation 4 on Machine 2 duration 165 mins.
Operation 5 on Machine 6 duration 53 mins.
Operation 6 on Machine 5 duration 67 mins.
Operation 7 on Machine 7 duration 169 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 151 mins.
Operation 1 on Machine 0 duration 5 mins.
Operation 2 on Machine 2 duration 251 mins.
Operation 3 on Machine 6 duration 73 mins.
Operation 4 on Machine 4 duration 138 mins.
Operation 5 on Machine 5 duration 223 mins.
Operation 6 on Machine 3 duration 268 mins.
Operation 7 on Machine 1 duration 100 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 276 mins.
Operation 1 on Machine 4 duration 114 mins.
Operation 2 on Machine 2 duration 68 mins.
Operation 3 on Machine 3 duration 131 mins.
Operation 4 on Machine 7 duration 160 mins.
Operation 5 on Machine 1 duration 172 mins.
Operation 6 on Machine 0 duration 210 mins.
Operation 7 on Machine 6 duration 39 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 167 mins.
Operation 1 on Machine 7 duration 117 mins.
Operation 2 on Machine 4 duration 163 mins.
Operation 3 on Machine 6 duration 281 mins.
Operation 4 on Machine 5 duration 95 mins.
Operation 5 on Machine 0 duration 215 mins.
Operation 6 on Machine 3 duration 164 mins.
Operation 7 on Machine 1 duration 93 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 191 mins.
Operation 1 on Machine 3 duration 246 mins.
Operation 2 on Machine 5 duration 17 mins.
Operation 3 on Machine 1 duration 183 mins.
Operation 4 on Machine 6 duration 122 mins.
Operation 5 on Machine 4 duration 295 mins.
Operation 6 on Machine 7 duration 115 mins.
Operation 7 on Machine 0 duration 106 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 149 mins.
Operation 1 on Machine 4 duration 162 mins.
Operation 2 on Machine 6 duration 160 mins.
Operation 3 on Machine 2 duration 236 mins.
Operation 4 on Machine 1 duration 289 mins.
Operation 5 on Machine 5 duration 185 mins.
Operation 6 on Machine 7 duration 156 mins.
Operation 7 on Machine 0 duration 1 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 53 mins.
Operation 1 on Machine 0 duration 262 mins.
Operation 2 on Machine 5 duration 44 mins.
Operation 3 on Machine 4 duration 292 mins.
Operation 4 on Machine 7 duration 70 mins.
Operation 5 on Machine 1 duration 270 mins.
Operation 6 on Machine 6 duration 226 mins.
Operation 7 on Machine 2 duration 190 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 177 mins.
Operation 1 on Machine 4 duration 47 mins.
Operation 2 on Machine 7 duration 160 mins.
Operation 3 on Machine 5 duration 193 mins.
Operation 4 on Machine 1 duration 151 mins.
Operation 5 on Machine 2 duration 7 mins.
Operation 6 on Machine 6 duration 217 mins.
Operation 7 on Machine 3 duration 137 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 79 mins.
Operation 1 on Machine 1 duration 291 mins.
Operation 2 on Machine 0 duration 103 mins.
Operation 3 on Machine 3 duration 277 mins.
Operation 4 on Machine 2 duration 233 mins.
Operation 5 on Machine 5 duration 275 mins.
Operation 6 on Machine 6 duration 203 mins.
Operation 7 on Machine 7 duration 28 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 6 duration 176 mins.
Operation 1 on Machine 1 duration 253 mins.
Operation 2 on Machine 0 duration 208 mins.
Operation 3 on Machine 2 duration 179 mins.
Operation 4 on Machine 5 duration 267 mins.
Operation 5 on Machine 4 duration 161 mins.
Operation 6 on Machine 3 duration 213 mins.
Operation 7 on Machine 7 duration 44 mins.
| Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 7 Operation 0 duration 177 mins.
Job 1 Operation 1 duration 5 mins.
Job 6 Operation 1 duration 262 mins.
Job 8 Operation 2 duration 103 mins.
Job 9 Operation 2 duration 208 mins.
Job 0 Operation 3 duration 79 mins.
Job 3 Operation 5 duration 215 mins.
Job 2 Operation 6 duration 210 mins.
Job 4 Operation 7 duration 106 mins.
Job 5 Operation 7 duration 1 mins.
Machine 1 is used for the following Operations:
Job 8 Operation 1 duration 291 mins.
Job 9 Operation 1 duration 253 mins.
Job 0 Operation 2 duration 42 mins.
Job 4 Operation 3 duration 183 mins.
Job 5 Operation 4 duration 289 mins.
Job 7 Operation 4 duration 151 mins.
Job 2 Operation 5 duration 172 mins.
Job 6 Operation 5 duration 270 mins.
Job 1 Operation 7 duration 100 mins.
Job 3 Operation 7 duration 93 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 167 mins.
Job 4 Operation 0 duration 191 mins.
Job 1 Operation 2 duration 251 mins.
Job 2 Operation 2 duration 68 mins.
Job 5 Operation 3 duration 236 mins.
Job 9 Operation 3 duration 179 mins.
Job 0 Operation 4 duration 165 mins.
Job 8 Operation 4 duration 233 mins.
Job 7 Operation 5 duration 7 mins.
Job 6 Operation 7 duration 190 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 107 mins.
Job 5 Operation 0 duration 149 mins.
Job 6 Operation 0 duration 53 mins.
Job 4 Operation 1 duration 246 mins.
Job 2 Operation 3 duration 131 mins.
Job 8 Operation 3 duration 277 mins.
Job 1 Operation 6 duration 268 mins.
Job 3 Operation 6 duration 164 mins.
Job 9 Operation 6 duration 213 mins.
Job 7 Operation 7 duration 137 mins.
Machine 4 is used for the following Operations:
Job 8 Operation 0 duration 79 mins.
Job 0 Operation 1 duration 88 mins.
Job 2 Operation 1 duration 114 mins.
Job 5 Operation 1 duration 162 mins.
Job 7 Operation 1 duration 47 mins.
Job 3 Operation 2 duration 163 mins.
Job 6 Operation 3 duration 292 mins.
Job 1 Operation 4 duration 138 mins.
Job 4 Operation 5 duration 295 mins.
Job 9 Operation 5 duration 161 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 276 mins.
Job 4 Operation 2 duration 17 mins.
Job 6 Operation 2 duration 44 mins.
Job 7 Operation 3 duration 193 mins.
Job 3 Operation 4 duration 95 mins.
Job 9 Operation 4 duration 267 mins.
Job 1 Operation 5 duration 223 mins.
Job 5 Operation 5 duration 185 mins.
Job 8 Operation 5 duration 275 mins.
Job 0 Operation 6 duration 67 mins.
Machine 6 is used for the following Operations:
Job 9 Operation 0 duration 176 mins.
Job 5 Operation 2 duration 160 mins.
Job 1 Operation 3 duration 73 mins.
Job 3 Operation 3 duration 281 mins.
Job 4 Operation 4 duration 122 mins.
Job 0 Operation 5 duration 53 mins.
Job 6 Operation 6 duration 226 mins.
Job 7 Operation 6 duration 217 mins.
Job 8 Operation 6 duration 203 mins.
Job 2 Operation 7 duration 39 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 151 mins.
Job 3 Operation 1 duration 117 mins.
Job 7 Operation 2 duration 160 mins.
Job 2 Operation 4 duration 160 mins.
Job 6 Operation 4 duration 70 mins.
Job 4 Operation 6 duration 115 mins.
Job 5 Operation 6 duration 156 mins.
Job 0 Operation 7 duration 169 mins.
Job 8 Operation 7 duration 28 mins.
Job 9 Operation 7 duration 44 mins.
| Solution:
Job 7 Operation 0 on Machine 0 : 0 + 177 -> 177
Job 3 Operation 0 on Machine 2 : 0 + 167 -> 167
Job 0 Operation 0 on Machine 3 : 0 + 107 -> 107
Job 8 Operation 0 on Machine 4 : 0 + 79 -> 79
Job 2 Operation 0 on Machine 5 : 0 + 276 -> 276
Job 9 Operation 0 on Machine 6 : 0 + 176 -> 176
Job 1 Operation 0 on Machine 7 : 0 + 151 -> 151
Job 6 Operation 0 on Machine 3 : 107 + 53 -> 160
Job 0 Operation 1 on Machine 4 : 107 + 88 -> 195
Job 5 Operation 0 on Machine 3 : 160 + 149 -> 309
Job 4 Operation 0 on Machine 2 : 167 + 191 -> 358
Job 3 Operation 1 on Machine 7 : 167 + 117 -> 284
Job 9 Operation 1 on Machine 1 : 176 + 253 -> 429
Job 1 Operation 1 on Machine 0 : 177 + 5 -> 182
Job 6 Operation 1 on Machine 0 : 182 + 262 -> 444
Job 7 Operation 1 on Machine 4 : 195 + 47 -> 242
Job 3 Operation 2 on Machine 4 : 284 + 163 -> 447
Job 7 Operation 2 on Machine 7 : 284 + 160 -> 444
Job 1 Operation 2 on Machine 2 : 358 + 251 -> 609
Job 4 Operation 1 on Machine 3 : 358 + 246 -> 604
Job 8 Operation 1 on Machine 1 : 429 + 291 -> 720
Job 9 Operation 2 on Machine 0 : 444 + 208 -> 652
Job 7 Operation 3 on Machine 5 : 444 + 193 -> 637
Job 2 Operation 1 on Machine 4 : 447 + 114 -> 561
Job 3 Operation 3 on Machine 6 : 447 + 281 -> 728
Job 5 Operation 1 on Machine 4 : 561 + 162 -> 723
Job 2 Operation 2 on Machine 2 : 609 + 68 -> 677
Job 6 Operation 2 on Machine 5 : 637 + 44 -> 681
Job 9 Operation 3 on Machine 2 : 677 + 179 -> 856
Job 2 Operation 3 on Machine 3 : 677 + 131 -> 808
Job 4 Operation 2 on Machine 5 : 681 + 17 -> 698
Job 8 Operation 2 on Machine 0 : 720 + 103 -> 823
Job 4 Operation 3 on Machine 1 : 720 + 183 -> 903
Job 6 Operation 3 on Machine 4 : 723 + 292 -> 1015
Job 3 Operation 4 on Machine 5 : 728 + 95 -> 823
Job 5 Operation 2 on Machine 6 : 728 + 160 -> 888
Job 2 Operation 4 on Machine 7 : 808 + 160 -> 968
Job 3 Operation 5 on Machine 0 : 823 + 215 -> 1038
Job 8 Operation 3 on Machine 3 : 823 + 277 -> 1100
Job 9 Operation 4 on Machine 5 : 856 + 267 -> 1123
Job 5 Operation 3 on Machine 2 : 888 + 236 -> 1124
Job 1 Operation 3 on Machine 6 : 888 + 73 -> 961
Job 0 Operation 2 on Machine 1 : 903 + 42 -> 945
Job 7 Operation 4 on Machine 1 : 945 + 151 -> 1096
Job 4 Operation 4 on Machine 6 : 961 + 122 -> 1083
Job 1 Operation 4 on Machine 4 : 1015 + 138 -> 1153
Job 6 Operation 4 on Machine 7 : 1015 + 70 -> 1085
Job 0 Operation 3 on Machine 0 : 1038 + 79 -> 1117
Job 6 Operation 5 on Machine 1 : 1096 + 270 -> 1366
Job 3 Operation 6 on Machine 3 : 1100 + 164 -> 1264
Job 7 Operation 5 on Machine 2 : 1124 + 7 -> 1131
Job 8 Operation 4 on Machine 2 : 1131 + 233 -> 1364
Job 7 Operation 6 on Machine 6 : 1131 + 217 -> 1348
Job 9 Operation 5 on Machine 4 : 1153 + 161 -> 1314
Job 1 Operation 5 on Machine 5 : 1153 + 223 -> 1376
Job 9 Operation 6 on Machine 3 : 1314 + 213 -> 1527
Job 4 Operation 5 on Machine 4 : 1314 + 295 -> 1609
Job 0 Operation 4 on Machine 2 : 1364 + 165 -> 1529
Job 5 Operation 4 on Machine 1 : 1366 + 289 -> 1655
Job 6 Operation 6 on Machine 6 : 1366 + 226 -> 1592
Job 8 Operation 5 on Machine 5 : 1376 + 275 -> 1651
Job 1 Operation 6 on Machine 3 : 1527 + 268 -> 1795
Job 9 Operation 7 on Machine 7 : 1527 + 44 -> 1571
Job 6 Operation 7 on Machine 2 : 1592 + 190 -> 1782
Job 0 Operation 5 on Machine 6 : 1592 + 53 -> 1645
Job 4 Operation 6 on Machine 7 : 1609 + 115 -> 1724
Job 0 Operation 6 on Machine 5 : 1651 + 67 -> 1718
Job 8 Operation 6 on Machine 6 : 1651 + 203 -> 1854
Job 2 Operation 5 on Machine 1 : 1655 + 172 -> 1827
Job 5 Operation 5 on Machine 5 : 1718 + 185 -> 1903
Job 4 Operation 7 on Machine 0 : 1724 + 106 -> 1830
Job 0 Operation 7 on Machine 7 : 1724 + 169 -> 1893
Job 7 Operation 7 on Machine 3 : 1795 + 137 -> 1932
Job 3 Operation 7 on Machine 1 : 1827 + 93 -> 1920
Job 2 Operation 6 on Machine 0 : 1830 + 210 -> 2040
Job 8 Operation 7 on Machine 7 : 1893 + 28 -> 1921
Job 1 Operation 7 on Machine 1 : 1920 + 100 -> 2020
Job 5 Operation 6 on Machine 7 : 1921 + 156 -> 2077
Job 2 Operation 7 on Machine 6 : 2040 + 39 -> 2079
Job 5 Operation 7 on Machine 0 : 2077 + 1 -> 2078
Makespan: 2079.0, as it is the maximum end completion time of Operation 7 |
3 | 3 | Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 23 mins.
Operation 1 on Machine 1 duration 27 mins.
Operation 2 on Machine 0 duration 45 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 9 mins.
Operation 1 on Machine 0 duration 24 mins.
Operation 2 on Machine 2 duration 32 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 28 mins.
Operation 1 on Machine 1 duration 56 mins.
Operation 2 on Machine 0 duration 32 mins.
| Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 24 mins.
Job 0 Operation 2 duration 45 mins.
Job 2 Operation 2 duration 32 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 9 mins.
Job 0 Operation 1 duration 27 mins.
Job 2 Operation 1 duration 56 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 23 mins.
Job 2 Operation 0 duration 28 mins.
Job 1 Operation 2 duration 32 mins.
| Solution:
Job 1 Operation 0 on Machine 1 : 0 + 9 -> 9
Job 0 Operation 0 on Machine 2 : 0 + 23 -> 23
Job 1 Operation 1 on Machine 0 : 9 + 24 -> 33
Job 0 Operation 1 on Machine 1 : 23 + 27 -> 50
Job 2 Operation 0 on Machine 2 : 23 + 28 -> 51
Job 0 Operation 2 on Machine 0 : 50 + 45 -> 95
Job 2 Operation 1 on Machine 1 : 51 + 56 -> 107
Job 1 Operation 2 on Machine 2 : 51 + 32 -> 83
Job 2 Operation 2 on Machine 0 : 107 + 32 -> 139
Makespan: 139.0, as it is the maximum end completion time of Operation 2 |
10 | 9 | Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 125 mins.
Operation 1 on Machine 6 duration 215 mins.
Operation 2 on Machine 7 duration 211 mins.
Operation 3 on Machine 8 duration 80 mins.
Operation 4 on Machine 3 duration 159 mins.
Operation 5 on Machine 2 duration 82 mins.
Operation 6 on Machine 5 duration 169 mins.
Operation 7 on Machine 1 duration 172 mins.
Operation 8 on Machine 4 duration 145 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 129 mins.
Operation 1 on Machine 4 duration 244 mins.
Operation 2 on Machine 1 duration 176 mins.
Operation 3 on Machine 7 duration 46 mins.
Operation 4 on Machine 0 duration 42 mins.
Operation 5 on Machine 5 duration 187 mins.
Operation 6 on Machine 8 duration 239 mins.
Operation 7 on Machine 3 duration 152 mins.
Operation 8 on Machine 6 duration 181 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 103 mins.
Operation 1 on Machine 0 duration 146 mins.
Operation 2 on Machine 3 duration 191 mins.
Operation 3 on Machine 8 duration 56 mins.
Operation 4 on Machine 4 duration 75 mins.
Operation 5 on Machine 5 duration 43 mins.
Operation 6 on Machine 2 duration 147 mins.
Operation 7 on Machine 1 duration 102 mins.
Operation 8 on Machine 7 duration 148 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 8 duration 97 mins.
Operation 1 on Machine 2 duration 273 mins.
Operation 2 on Machine 5 duration 268 mins.
Operation 3 on Machine 6 duration 173 mins.
Operation 4 on Machine 4 duration 277 mins.
Operation 5 on Machine 3 duration 241 mins.
Operation 6 on Machine 0 duration 255 mins.
Operation 7 on Machine 7 duration 232 mins.
Operation 8 on Machine 1 duration 39 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 219 mins.
Operation 1 on Machine 6 duration 27 mins.
Operation 2 on Machine 3 duration 52 mins.
Operation 3 on Machine 1 duration 176 mins.
Operation 4 on Machine 8 duration 118 mins.
Operation 5 on Machine 0 duration 141 mins.
Operation 6 on Machine 7 duration 46 mins.
Operation 7 on Machine 4 duration 51 mins.
Operation 8 on Machine 2 duration 260 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 7 duration 21 mins.
Operation 1 on Machine 6 duration 52 mins.
Operation 2 on Machine 4 duration 139 mins.
Operation 3 on Machine 5 duration 79 mins.
Operation 4 on Machine 2 duration 63 mins.
Operation 5 on Machine 0 duration 98 mins.
Operation 6 on Machine 1 duration 276 mins.
Operation 7 on Machine 8 duration 84 mins.
Operation 8 on Machine 3 duration 30 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 84 mins.
Operation 1 on Machine 3 duration 183 mins.
Operation 2 on Machine 1 duration 177 mins.
Operation 3 on Machine 8 duration 208 mins.
Operation 4 on Machine 4 duration 199 mins.
Operation 5 on Machine 5 duration 137 mins.
Operation 6 on Machine 6 duration 278 mins.
Operation 7 on Machine 2 duration 258 mins.
Operation 8 on Machine 0 duration 47 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 58 mins.
Operation 1 on Machine 2 duration 205 mins.
Operation 2 on Machine 7 duration 94 mins.
Operation 3 on Machine 6 duration 13 mins.
Operation 4 on Machine 3 duration 72 mins.
Operation 5 on Machine 8 duration 152 mins.
Operation 6 on Machine 5 duration 139 mins.
Operation 7 on Machine 1 duration 57 mins.
Operation 8 on Machine 0 duration 147 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 41 mins.
Operation 1 on Machine 2 duration 149 mins.
Operation 2 on Machine 6 duration 265 mins.
Operation 3 on Machine 8 duration 2 mins.
Operation 4 on Machine 4 duration 149 mins.
Operation 5 on Machine 5 duration 56 mins.
Operation 6 on Machine 7 duration 36 mins.
Operation 7 on Machine 3 duration 215 mins.
Operation 8 on Machine 1 duration 65 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 6 duration 114 mins.
Operation 1 on Machine 0 duration 68 mins.
Operation 2 on Machine 5 duration 175 mins.
Operation 3 on Machine 8 duration 172 mins.
Operation 4 on Machine 7 duration 239 mins.
Operation 5 on Machine 2 duration 84 mins.
Operation 6 on Machine 4 duration 86 mins.
Operation 7 on Machine 3 duration 20 mins.
Operation 8 on Machine 1 duration 15 mins.
| Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 125 mins.
Job 8 Operation 0 duration 41 mins.
Job 2 Operation 1 duration 146 mins.
Job 9 Operation 1 duration 68 mins.
Job 1 Operation 4 duration 42 mins.
Job 4 Operation 5 duration 141 mins.
Job 5 Operation 5 duration 98 mins.
Job 3 Operation 6 duration 255 mins.
Job 6 Operation 8 duration 47 mins.
Job 7 Operation 8 duration 147 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 2 duration 176 mins.
Job 6 Operation 2 duration 177 mins.
Job 4 Operation 3 duration 176 mins.
Job 5 Operation 6 duration 276 mins.
Job 0 Operation 7 duration 172 mins.
Job 2 Operation 7 duration 102 mins.
Job 7 Operation 7 duration 57 mins.
Job 3 Operation 8 duration 39 mins.
Job 8 Operation 8 duration 65 mins.
Job 9 Operation 8 duration 15 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 129 mins.
Job 3 Operation 1 duration 273 mins.
Job 7 Operation 1 duration 205 mins.
Job 8 Operation 1 duration 149 mins.
Job 5 Operation 4 duration 63 mins.
Job 0 Operation 5 duration 82 mins.
Job 9 Operation 5 duration 84 mins.
Job 2 Operation 6 duration 147 mins.
Job 6 Operation 7 duration 258 mins.
Job 4 Operation 8 duration 260 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 1 duration 183 mins.
Job 2 Operation 2 duration 191 mins.
Job 4 Operation 2 duration 52 mins.
Job 0 Operation 4 duration 159 mins.
Job 7 Operation 4 duration 72 mins.
Job 3 Operation 5 duration 241 mins.
Job 1 Operation 7 duration 152 mins.
Job 8 Operation 7 duration 215 mins.
Job 9 Operation 7 duration 20 mins.
Job 5 Operation 8 duration 30 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 0 duration 58 mins.
Job 1 Operation 1 duration 244 mins.
Job 5 Operation 2 duration 139 mins.
Job 2 Operation 4 duration 75 mins.
Job 3 Operation 4 duration 277 mins.
Job 6 Operation 4 duration 199 mins.
Job 8 Operation 4 duration 149 mins.
Job 9 Operation 6 duration 86 mins.
Job 4 Operation 7 duration 51 mins.
Job 0 Operation 8 duration 145 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 0 duration 219 mins.
Job 3 Operation 2 duration 268 mins.
Job 9 Operation 2 duration 175 mins.
Job 5 Operation 3 duration 79 mins.
Job 1 Operation 5 duration 187 mins.
Job 2 Operation 5 duration 43 mins.
Job 6 Operation 5 duration 137 mins.
Job 8 Operation 5 duration 56 mins.
Job 0 Operation 6 duration 169 mins.
Job 7 Operation 6 duration 139 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 103 mins.
Job 9 Operation 0 duration 114 mins.
Job 0 Operation 1 duration 215 mins.
Job 4 Operation 1 duration 27 mins.
Job 5 Operation 1 duration 52 mins.
Job 8 Operation 2 duration 265 mins.
Job 3 Operation 3 duration 173 mins.
Job 7 Operation 3 duration 13 mins.
Job 6 Operation 6 duration 278 mins.
Job 1 Operation 8 duration 181 mins.
Machine 7 is used for the following Operations:
Job 5 Operation 0 duration 21 mins.
Job 6 Operation 0 duration 84 mins.
Job 0 Operation 2 duration 211 mins.
Job 7 Operation 2 duration 94 mins.
Job 1 Operation 3 duration 46 mins.
Job 9 Operation 4 duration 239 mins.
Job 4 Operation 6 duration 46 mins.
Job 8 Operation 6 duration 36 mins.
Job 3 Operation 7 duration 232 mins.
Job 2 Operation 8 duration 148 mins.
Machine 8 is used for the following Operations:
Job 3 Operation 0 duration 97 mins.
Job 0 Operation 3 duration 80 mins.
Job 2 Operation 3 duration 56 mins.
Job 6 Operation 3 duration 208 mins.
Job 8 Operation 3 duration 2 mins.
Job 9 Operation 3 duration 172 mins.
Job 4 Operation 4 duration 118 mins.
Job 7 Operation 5 duration 152 mins.
Job 1 Operation 6 duration 239 mins.
Job 5 Operation 7 duration 84 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 125 -> 125
Job 1 Operation 0 on Machine 2 : 0 + 129 -> 129
Job 7 Operation 0 on Machine 4 : 0 + 58 -> 58
Job 4 Operation 0 on Machine 5 : 0 + 219 -> 219
Job 9 Operation 0 on Machine 6 : 0 + 114 -> 114
Job 6 Operation 0 on Machine 7 : 0 + 84 -> 84
Job 3 Operation 0 on Machine 8 : 0 + 97 -> 97
Job 6 Operation 1 on Machine 3 : 84 + 183 -> 267
Job 5 Operation 0 on Machine 7 : 84 + 21 -> 105
Job 5 Operation 1 on Machine 6 : 114 + 52 -> 166
Job 9 Operation 1 on Machine 0 : 125 + 68 -> 193
Job 3 Operation 1 on Machine 2 : 129 + 273 -> 402
Job 1 Operation 1 on Machine 4 : 129 + 244 -> 373
Job 0 Operation 1 on Machine 6 : 166 + 215 -> 381
Job 8 Operation 0 on Machine 0 : 193 + 41 -> 234
Job 9 Operation 2 on Machine 5 : 219 + 175 -> 394
Job 6 Operation 2 on Machine 1 : 267 + 177 -> 444
Job 5 Operation 2 on Machine 4 : 373 + 139 -> 512
Job 4 Operation 1 on Machine 6 : 381 + 27 -> 408
Job 0 Operation 2 on Machine 7 : 381 + 211 -> 592
Job 7 Operation 1 on Machine 2 : 402 + 205 -> 607
Job 3 Operation 2 on Machine 5 : 402 + 268 -> 670
Job 4 Operation 2 on Machine 3 : 408 + 52 -> 460
Job 2 Operation 0 on Machine 6 : 408 + 103 -> 511
Job 1 Operation 2 on Machine 1 : 444 + 176 -> 620
Job 6 Operation 3 on Machine 8 : 444 + 208 -> 652
Job 2 Operation 1 on Machine 0 : 511 + 146 -> 657
Job 8 Operation 1 on Machine 2 : 607 + 149 -> 756
Job 7 Operation 2 on Machine 7 : 607 + 94 -> 701
Job 4 Operation 3 on Machine 1 : 620 + 176 -> 796
Job 6 Operation 4 on Machine 4 : 652 + 199 -> 851
Job 9 Operation 3 on Machine 8 : 652 + 172 -> 824
Job 2 Operation 2 on Machine 3 : 657 + 191 -> 848
Job 5 Operation 3 on Machine 5 : 670 + 79 -> 749
Job 3 Operation 3 on Machine 6 : 670 + 173 -> 843
Job 1 Operation 3 on Machine 7 : 701 + 46 -> 747
Job 1 Operation 4 on Machine 0 : 747 + 42 -> 789
Job 5 Operation 4 on Machine 2 : 756 + 63 -> 819
Job 1 Operation 5 on Machine 5 : 789 + 187 -> 976
Job 5 Operation 5 on Machine 0 : 819 + 98 -> 917
Job 9 Operation 4 on Machine 7 : 824 + 239 -> 1063
Job 0 Operation 3 on Machine 8 : 824 + 80 -> 904
Job 7 Operation 3 on Machine 6 : 843 + 13 -> 856
Job 3 Operation 4 on Machine 4 : 851 + 277 -> 1128
Job 7 Operation 4 on Machine 3 : 856 + 72 -> 928
Job 8 Operation 2 on Machine 6 : 856 + 265 -> 1121
Job 4 Operation 4 on Machine 8 : 904 + 118 -> 1022
Job 5 Operation 6 on Machine 1 : 917 + 276 -> 1193
Job 0 Operation 4 on Machine 3 : 928 + 159 -> 1087
Job 6 Operation 5 on Machine 5 : 976 + 137 -> 1113
Job 4 Operation 5 on Machine 0 : 1022 + 141 -> 1163
Job 2 Operation 3 on Machine 8 : 1022 + 56 -> 1078
Job 9 Operation 5 on Machine 2 : 1063 + 84 -> 1147
Job 6 Operation 6 on Machine 6 : 1121 + 278 -> 1399
Job 8 Operation 3 on Machine 8 : 1121 + 2 -> 1123
Job 1 Operation 6 on Machine 8 : 1123 + 239 -> 1362
Job 3 Operation 5 on Machine 3 : 1128 + 241 -> 1369
Job 2 Operation 4 on Machine 4 : 1128 + 75 -> 1203
Job 0 Operation 5 on Machine 2 : 1147 + 82 -> 1229
Job 4 Operation 6 on Machine 7 : 1163 + 46 -> 1209
Job 2 Operation 5 on Machine 5 : 1203 + 43 -> 1246
Job 4 Operation 7 on Machine 4 : 1209 + 51 -> 1260
Job 2 Operation 6 on Machine 2 : 1246 + 147 -> 1393
Job 0 Operation 6 on Machine 5 : 1246 + 169 -> 1415
Job 8 Operation 4 on Machine 4 : 1260 + 149 -> 1409
Job 7 Operation 5 on Machine 8 : 1362 + 152 -> 1514
Job 3 Operation 6 on Machine 0 : 1369 + 255 -> 1624
Job 1 Operation 7 on Machine 3 : 1369 + 152 -> 1521
Job 2 Operation 7 on Machine 1 : 1393 + 102 -> 1495
Job 6 Operation 7 on Machine 2 : 1399 + 258 -> 1657
Job 9 Operation 6 on Machine 4 : 1409 + 86 -> 1495
Job 8 Operation 5 on Machine 5 : 1415 + 56 -> 1471
Job 8 Operation 6 on Machine 7 : 1471 + 36 -> 1507
Job 0 Operation 7 on Machine 1 : 1495 + 172 -> 1667
Job 2 Operation 8 on Machine 7 : 1507 + 148 -> 1655
Job 7 Operation 6 on Machine 5 : 1514 + 139 -> 1653
Job 5 Operation 7 on Machine 8 : 1514 + 84 -> 1598
Job 9 Operation 7 on Machine 3 : 1521 + 20 -> 1541
Job 1 Operation 8 on Machine 6 : 1521 + 181 -> 1702
Job 8 Operation 7 on Machine 3 : 1541 + 215 -> 1756
Job 3 Operation 7 on Machine 7 : 1655 + 232 -> 1887
Job 4 Operation 8 on Machine 2 : 1657 + 260 -> 1917
Job 7 Operation 7 on Machine 1 : 1667 + 57 -> 1724
Job 0 Operation 8 on Machine 4 : 1667 + 145 -> 1812
Job 7 Operation 8 on Machine 0 : 1724 + 147 -> 1871
Job 9 Operation 8 on Machine 1 : 1724 + 15 -> 1739
Job 8 Operation 8 on Machine 1 : 1756 + 65 -> 1821
Job 5 Operation 8 on Machine 3 : 1756 + 30 -> 1786
Job 6 Operation 8 on Machine 0 : 1871 + 47 -> 1918
Job 3 Operation 8 on Machine 1 : 1887 + 39 -> 1926
Makespan: 1926.0, as it is the maximum end completion time of Operation 8 |
10 | 8 | Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 111 mins.
Operation 1 on Machine 4 duration 161 mins.
Operation 2 on Machine 3 duration 127 mins.
Operation 3 on Machine 1 duration 70 mins.
Operation 4 on Machine 7 duration 135 mins.
Operation 5 on Machine 2 duration 184 mins.
Operation 6 on Machine 6 duration 288 mins.
Operation 7 on Machine 0 duration 95 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 224 mins.
Operation 1 on Machine 2 duration 178 mins.
Operation 2 on Machine 1 duration 176 mins.
Operation 3 on Machine 7 duration 289 mins.
Operation 4 on Machine 6 duration 263 mins.
Operation 5 on Machine 4 duration 171 mins.
Operation 6 on Machine 0 duration 130 mins.
Operation 7 on Machine 5 duration 56 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 124 mins.
Operation 1 on Machine 0 duration 215 mins.
Operation 2 on Machine 3 duration 112 mins.
Operation 3 on Machine 6 duration 69 mins.
Operation 4 on Machine 4 duration 116 mins.
Operation 5 on Machine 5 duration 11 mins.
Operation 6 on Machine 7 duration 37 mins.
Operation 7 on Machine 1 duration 74 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 117 mins.
Operation 1 on Machine 3 duration 20 mins.
Operation 2 on Machine 1 duration 64 mins.
Operation 3 on Machine 2 duration 1 mins.
Operation 4 on Machine 4 duration 182 mins.
Operation 5 on Machine 7 duration 244 mins.
Operation 6 on Machine 0 duration 174 mins.
Operation 7 on Machine 6 duration 174 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 44 mins.
Operation 1 on Machine 4 duration 120 mins.
Operation 2 on Machine 7 duration 274 mins.
Operation 3 on Machine 3 duration 49 mins.
Operation 4 on Machine 6 duration 147 mins.
Operation 5 on Machine 1 duration 124 mins.
Operation 6 on Machine 2 duration 222 mins.
Operation 7 on Machine 5 duration 36 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 160 mins.
Operation 1 on Machine 2 duration 47 mins.
Operation 2 on Machine 0 duration 297 mins.
Operation 3 on Machine 7 duration 164 mins.
Operation 4 on Machine 6 duration 44 mins.
Operation 5 on Machine 4 duration 303 mins.
Operation 6 on Machine 1 duration 141 mins.
Operation 7 on Machine 3 duration 242 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 304 mins.
Operation 1 on Machine 6 duration 18 mins.
Operation 2 on Machine 1 duration 32 mins.
Operation 3 on Machine 2 duration 182 mins.
Operation 4 on Machine 3 duration 144 mins.
Operation 5 on Machine 0 duration 239 mins.
Operation 6 on Machine 4 duration 280 mins.
Operation 7 on Machine 5 duration 291 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 162 mins.
Operation 1 on Machine 7 duration 61 mins.
Operation 2 on Machine 5 duration 38 mins.
Operation 3 on Machine 3 duration 264 mins.
Operation 4 on Machine 1 duration 230 mins.
Operation 5 on Machine 6 duration 28 mins.
Operation 6 on Machine 4 duration 296 mins.
Operation 7 on Machine 2 duration 243 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 145 mins.
Operation 1 on Machine 7 duration 276 mins.
Operation 2 on Machine 6 duration 107 mins.
Operation 3 on Machine 2 duration 182 mins.
Operation 4 on Machine 1 duration 242 mins.
Operation 5 on Machine 3 duration 133 mins.
Operation 6 on Machine 4 duration 233 mins.
Operation 7 on Machine 5 duration 28 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 155 mins.
Operation 1 on Machine 5 duration 193 mins.
Operation 2 on Machine 3 duration 304 mins.
Operation 3 on Machine 7 duration 135 mins.
Operation 4 on Machine 2 duration 119 mins.
Operation 5 on Machine 6 duration 146 mins.
Operation 6 on Machine 4 duration 114 mins.
Operation 7 on Machine 0 duration 135 mins.
| Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 44 mins.
Job 7 Operation 0 duration 162 mins.
Job 8 Operation 0 duration 145 mins.
Job 2 Operation 1 duration 215 mins.
Job 5 Operation 2 duration 297 mins.
Job 6 Operation 5 duration 239 mins.
Job 1 Operation 6 duration 130 mins.
Job 3 Operation 6 duration 174 mins.
Job 0 Operation 7 duration 95 mins.
Job 9 Operation 7 duration 135 mins.
Machine 1 is used for the following Operations:
Job 9 Operation 0 duration 155 mins.
Job 1 Operation 2 duration 176 mins.
Job 3 Operation 2 duration 64 mins.
Job 6 Operation 2 duration 32 mins.
Job 0 Operation 3 duration 70 mins.
Job 7 Operation 4 duration 230 mins.
Job 8 Operation 4 duration 242 mins.
Job 4 Operation 5 duration 124 mins.
Job 5 Operation 6 duration 141 mins.
Job 2 Operation 7 duration 74 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 124 mins.
Job 1 Operation 1 duration 178 mins.
Job 5 Operation 1 duration 47 mins.
Job 3 Operation 3 duration 1 mins.
Job 6 Operation 3 duration 182 mins.
Job 8 Operation 3 duration 182 mins.
Job 9 Operation 4 duration 119 mins.
Job 0 Operation 5 duration 184 mins.
Job 4 Operation 6 duration 222 mins.
Job 7 Operation 7 duration 243 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 224 mins.
Job 3 Operation 1 duration 20 mins.
Job 0 Operation 2 duration 127 mins.
Job 2 Operation 2 duration 112 mins.
Job 9 Operation 2 duration 304 mins.
Job 4 Operation 3 duration 49 mins.
Job 7 Operation 3 duration 264 mins.
Job 6 Operation 4 duration 144 mins.
Job 8 Operation 5 duration 133 mins.
Job 5 Operation 7 duration 242 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 161 mins.
Job 4 Operation 1 duration 120 mins.
Job 2 Operation 4 duration 116 mins.
Job 3 Operation 4 duration 182 mins.
Job 1 Operation 5 duration 171 mins.
Job 5 Operation 5 duration 303 mins.
Job 6 Operation 6 duration 280 mins.
Job 7 Operation 6 duration 296 mins.
Job 8 Operation 6 duration 233 mins.
Job 9 Operation 6 duration 114 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 111 mins.
Job 3 Operation 0 duration 117 mins.
Job 5 Operation 0 duration 160 mins.
Job 9 Operation 1 duration 193 mins.
Job 7 Operation 2 duration 38 mins.
Job 2 Operation 5 duration 11 mins.
Job 1 Operation 7 duration 56 mins.
Job 4 Operation 7 duration 36 mins.
Job 6 Operation 7 duration 291 mins.
Job 8 Operation 7 duration 28 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 1 duration 18 mins.
Job 8 Operation 2 duration 107 mins.
Job 2 Operation 3 duration 69 mins.
Job 1 Operation 4 duration 263 mins.
Job 4 Operation 4 duration 147 mins.
Job 5 Operation 4 duration 44 mins.
Job 7 Operation 5 duration 28 mins.
Job 9 Operation 5 duration 146 mins.
Job 0 Operation 6 duration 288 mins.
Job 3 Operation 7 duration 174 mins.
Machine 7 is used for the following Operations:
Job 6 Operation 0 duration 304 mins.
Job 7 Operation 1 duration 61 mins.
Job 8 Operation 1 duration 276 mins.
Job 4 Operation 2 duration 274 mins.
Job 1 Operation 3 duration 289 mins.
Job 5 Operation 3 duration 164 mins.
Job 9 Operation 3 duration 135 mins.
Job 0 Operation 4 duration 135 mins.
Job 3 Operation 5 duration 244 mins.
Job 2 Operation 6 duration 37 mins.
| Solution:
Job 8 Operation 0 on Machine 0 : 0 + 145 -> 145
Job 9 Operation 0 on Machine 1 : 0 + 155 -> 155
Job 2 Operation 0 on Machine 2 : 0 + 124 -> 124
Job 1 Operation 0 on Machine 3 : 0 + 224 -> 224
Job 5 Operation 0 on Machine 5 : 0 + 160 -> 160
Job 6 Operation 0 on Machine 7 : 0 + 304 -> 304
Job 4 Operation 0 on Machine 0 : 145 + 44 -> 189
Job 5 Operation 1 on Machine 2 : 160 + 47 -> 207
Job 3 Operation 0 on Machine 5 : 160 + 117 -> 277
Job 4 Operation 1 on Machine 4 : 189 + 120 -> 309
Job 5 Operation 2 on Machine 0 : 207 + 297 -> 504
Job 1 Operation 1 on Machine 2 : 224 + 178 -> 402
Job 3 Operation 1 on Machine 3 : 277 + 20 -> 297
Job 0 Operation 0 on Machine 5 : 277 + 111 -> 388
Job 3 Operation 2 on Machine 1 : 297 + 64 -> 361
Job 6 Operation 1 on Machine 6 : 304 + 18 -> 322
Job 8 Operation 1 on Machine 7 : 304 + 276 -> 580
Job 6 Operation 2 on Machine 1 : 361 + 32 -> 393
Job 0 Operation 1 on Machine 4 : 388 + 161 -> 549
Job 9 Operation 1 on Machine 5 : 388 + 193 -> 581
Job 1 Operation 2 on Machine 1 : 402 + 176 -> 578
Job 3 Operation 3 on Machine 2 : 402 + 1 -> 403
Job 6 Operation 3 on Machine 2 : 403 + 182 -> 585
Job 7 Operation 0 on Machine 0 : 504 + 162 -> 666
Job 0 Operation 2 on Machine 3 : 549 + 127 -> 676
Job 3 Operation 4 on Machine 4 : 549 + 182 -> 731
Job 8 Operation 2 on Machine 6 : 580 + 107 -> 687
Job 5 Operation 3 on Machine 7 : 580 + 164 -> 744
Job 0 Operation 3 on Machine 1 : 676 + 70 -> 746
Job 6 Operation 4 on Machine 3 : 676 + 144 -> 820
Job 8 Operation 3 on Machine 2 : 687 + 182 -> 869
Job 5 Operation 4 on Machine 6 : 744 + 44 -> 788
Job 7 Operation 1 on Machine 7 : 744 + 61 -> 805
Job 5 Operation 5 on Machine 4 : 788 + 303 -> 1091
Job 7 Operation 2 on Machine 5 : 805 + 38 -> 843
Job 1 Operation 3 on Machine 7 : 805 + 289 -> 1094
Job 6 Operation 5 on Machine 0 : 820 + 239 -> 1059
Job 9 Operation 2 on Machine 3 : 820 + 304 -> 1124
Job 2 Operation 1 on Machine 0 : 1059 + 215 -> 1274
Job 5 Operation 6 on Machine 1 : 1091 + 141 -> 1232
Job 6 Operation 6 on Machine 4 : 1091 + 280 -> 1371
Job 1 Operation 4 on Machine 6 : 1094 + 263 -> 1357
Job 7 Operation 3 on Machine 3 : 1124 + 264 -> 1388
Job 9 Operation 3 on Machine 7 : 1124 + 135 -> 1259
Job 8 Operation 4 on Machine 1 : 1232 + 242 -> 1474
Job 9 Operation 4 on Machine 2 : 1259 + 119 -> 1378
Job 4 Operation 2 on Machine 7 : 1259 + 274 -> 1533
Job 1 Operation 5 on Machine 4 : 1371 + 171 -> 1542
Job 6 Operation 7 on Machine 5 : 1371 + 291 -> 1662
Job 9 Operation 5 on Machine 6 : 1378 + 146 -> 1524
Job 2 Operation 2 on Machine 3 : 1388 + 112 -> 1500
Job 7 Operation 4 on Machine 1 : 1474 + 230 -> 1704
Job 2 Operation 3 on Machine 6 : 1524 + 69 -> 1593
Job 4 Operation 3 on Machine 3 : 1533 + 49 -> 1582
Job 0 Operation 4 on Machine 7 : 1533 + 135 -> 1668
Job 1 Operation 6 on Machine 0 : 1542 + 130 -> 1672
Job 9 Operation 6 on Machine 4 : 1542 + 114 -> 1656
Job 5 Operation 7 on Machine 3 : 1582 + 242 -> 1824
Job 4 Operation 4 on Machine 6 : 1593 + 147 -> 1740
Job 2 Operation 4 on Machine 4 : 1656 + 116 -> 1772
Job 0 Operation 5 on Machine 2 : 1668 + 184 -> 1852
Job 3 Operation 5 on Machine 7 : 1668 + 244 -> 1912
Job 9 Operation 7 on Machine 0 : 1672 + 135 -> 1807
Job 1 Operation 7 on Machine 5 : 1672 + 56 -> 1728
Job 4 Operation 5 on Machine 1 : 1740 + 124 -> 1864
Job 7 Operation 5 on Machine 6 : 1740 + 28 -> 1768
Job 7 Operation 6 on Machine 4 : 1772 + 296 -> 2068
Job 2 Operation 5 on Machine 5 : 1772 + 11 -> 1783
Job 8 Operation 5 on Machine 3 : 1824 + 133 -> 1957
Job 0 Operation 6 on Machine 6 : 1852 + 288 -> 2140
Job 4 Operation 6 on Machine 2 : 1864 + 222 -> 2086
Job 3 Operation 6 on Machine 0 : 1912 + 174 -> 2086
Job 2 Operation 6 on Machine 7 : 1912 + 37 -> 1949
Job 2 Operation 7 on Machine 1 : 1949 + 74 -> 2023
Job 8 Operation 6 on Machine 4 : 2068 + 233 -> 2301
Job 7 Operation 7 on Machine 2 : 2086 + 243 -> 2329
Job 4 Operation 7 on Machine 5 : 2086 + 36 -> 2122
Job 0 Operation 7 on Machine 0 : 2140 + 95 -> 2235
Job 3 Operation 7 on Machine 6 : 2140 + 174 -> 2314
Job 8 Operation 7 on Machine 5 : 2301 + 28 -> 2329
Makespan: 2329.0, as it is the maximum end completion time of Operation 7 |
6 | 4 | Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 7 mins.
Operation 1 on Machine 0 duration 28 mins.
Operation 2 on Machine 1 duration 29 mins.
Operation 3 on Machine 2 duration 8 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 42 mins.
Operation 1 on Machine 3 duration 49 mins.
Operation 2 on Machine 2 duration 29 mins.
Operation 3 on Machine 0 duration 20 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 39 mins.
Operation 1 on Machine 0 duration 2 mins.
Operation 2 on Machine 1 duration 23 mins.
Operation 3 on Machine 3 duration 4 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 51 mins.
Operation 1 on Machine 1 duration 32 mins.
Operation 2 on Machine 0 duration 8 mins.
Operation 3 on Machine 3 duration 5 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 5 mins.
Operation 1 on Machine 0 duration 47 mins.
Operation 2 on Machine 3 duration 32 mins.
Operation 3 on Machine 2 duration 28 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 46 mins.
Operation 1 on Machine 1 duration 52 mins.
Operation 2 on Machine 0 duration 33 mins.
Operation 3 on Machine 2 duration 26 mins.
| Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 28 mins.
Job 2 Operation 1 duration 2 mins.
Job 4 Operation 1 duration 47 mins.
Job 3 Operation 2 duration 8 mins.
Job 5 Operation 2 duration 33 mins.
Job 1 Operation 3 duration 20 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 42 mins.
Job 4 Operation 0 duration 5 mins.
Job 3 Operation 1 duration 32 mins.
Job 5 Operation 1 duration 52 mins.
Job 0 Operation 2 duration 29 mins.
Job 2 Operation 2 duration 23 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 39 mins.
Job 3 Operation 0 duration 51 mins.
Job 1 Operation 2 duration 29 mins.
Job 0 Operation 3 duration 8 mins.
Job 4 Operation 3 duration 28 mins.
Job 5 Operation 3 duration 26 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 7 mins.
Job 5 Operation 0 duration 46 mins.
Job 1 Operation 1 duration 49 mins.
Job 4 Operation 2 duration 32 mins.
Job 2 Operation 3 duration 4 mins.
Job 3 Operation 3 duration 5 mins.
| Solution:
Job 4 Operation 0 on Machine 1 : 0 + 5 -> 5
Job 2 Operation 0 on Machine 2 : 0 + 39 -> 39
Job 0 Operation 0 on Machine 3 : 0 + 7 -> 7
Job 1 Operation 0 on Machine 1 : 5 + 42 -> 47
Job 0 Operation 1 on Machine 0 : 7 + 28 -> 35
Job 5 Operation 0 on Machine 3 : 7 + 46 -> 53
Job 2 Operation 1 on Machine 0 : 39 + 2 -> 41
Job 3 Operation 0 on Machine 2 : 39 + 51 -> 90
Job 4 Operation 1 on Machine 0 : 41 + 47 -> 88
Job 0 Operation 2 on Machine 1 : 47 + 29 -> 76
Job 1 Operation 1 on Machine 3 : 53 + 49 -> 102
Job 5 Operation 1 on Machine 1 : 76 + 52 -> 128
Job 0 Operation 3 on Machine 2 : 90 + 8 -> 98
Job 1 Operation 2 on Machine 2 : 102 + 29 -> 131
Job 4 Operation 2 on Machine 3 : 102 + 32 -> 134
Job 5 Operation 2 on Machine 0 : 128 + 33 -> 161
Job 3 Operation 1 on Machine 1 : 128 + 32 -> 160
Job 4 Operation 3 on Machine 2 : 134 + 28 -> 162
Job 2 Operation 2 on Machine 1 : 160 + 23 -> 183
Job 3 Operation 2 on Machine 0 : 161 + 8 -> 169
Job 5 Operation 3 on Machine 2 : 162 + 26 -> 188
Job 1 Operation 3 on Machine 0 : 169 + 20 -> 189
Job 3 Operation 3 on Machine 3 : 169 + 5 -> 174
Job 2 Operation 3 on Machine 3 : 183 + 4 -> 187
Makespan: 189.0, as it is the maximum end completion time of Operation 3 |
7 | 7 | Optimize schedule for 7 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 210 mins.
Operation 1 on Machine 6 duration 98 mins.
Operation 2 on Machine 1 duration 247 mins.
Operation 3 on Machine 5 duration 112 mins.
Operation 4 on Machine 3 duration 94 mins.
Operation 5 on Machine 0 duration 36 mins.
Operation 6 on Machine 4 duration 271 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 107 mins.
Operation 1 on Machine 1 duration 26 mins.
Operation 2 on Machine 6 duration 156 mins.
Operation 3 on Machine 3 duration 308 mins.
Operation 4 on Machine 5 duration 221 mins.
Operation 5 on Machine 0 duration 162 mins.
Operation 6 on Machine 2 duration 283 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 265 mins.
Operation 1 on Machine 0 duration 174 mins.
Operation 2 on Machine 4 duration 294 mins.
Operation 3 on Machine 1 duration 75 mins.
Operation 4 on Machine 3 duration 75 mins.
Operation 5 on Machine 2 duration 36 mins.
Operation 6 on Machine 6 duration 9 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 209 mins.
Operation 1 on Machine 1 duration 94 mins.
Operation 2 on Machine 2 duration 286 mins.
Operation 3 on Machine 5 duration 43 mins.
Operation 4 on Machine 6 duration 244 mins.
Operation 5 on Machine 3 duration 63 mins.
Operation 6 on Machine 0 duration 121 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 228 mins.
Operation 1 on Machine 3 duration 306 mins.
Operation 2 on Machine 5 duration 78 mins.
Operation 3 on Machine 0 duration 137 mins.
Operation 4 on Machine 6 duration 25 mins.
Operation 5 on Machine 1 duration 133 mins.
Operation 6 on Machine 2 duration 190 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 15 mins.
Operation 1 on Machine 0 duration 123 mins.
Operation 2 on Machine 6 duration 4 mins.
Operation 3 on Machine 1 duration 116 mins.
Operation 4 on Machine 4 duration 18 mins.
Operation 5 on Machine 2 duration 11 mins.
Operation 6 on Machine 3 duration 297 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 174 mins.
Operation 1 on Machine 5 duration 206 mins.
Operation 2 on Machine 0 duration 24 mins.
Operation 3 on Machine 1 duration 215 mins.
Operation 4 on Machine 2 duration 89 mins.
Operation 5 on Machine 3 duration 235 mins.
Operation 6 on Machine 6 duration 278 mins.
| Optimize schedule for 7 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 1 duration 174 mins.
Job 5 Operation 1 duration 123 mins.
Job 6 Operation 2 duration 24 mins.
Job 4 Operation 3 duration 137 mins.
Job 0 Operation 5 duration 36 mins.
Job 1 Operation 5 duration 162 mins.
Job 3 Operation 6 duration 121 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 26 mins.
Job 3 Operation 1 duration 94 mins.
Job 0 Operation 2 duration 247 mins.
Job 2 Operation 3 duration 75 mins.
Job 5 Operation 3 duration 116 mins.
Job 6 Operation 3 duration 215 mins.
Job 4 Operation 5 duration 133 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 210 mins.
Job 3 Operation 2 duration 286 mins.
Job 6 Operation 4 duration 89 mins.
Job 2 Operation 5 duration 36 mins.
Job 5 Operation 5 duration 11 mins.
Job 1 Operation 6 duration 283 mins.
Job 4 Operation 6 duration 190 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 1 duration 306 mins.
Job 1 Operation 3 duration 308 mins.
Job 0 Operation 4 duration 94 mins.
Job 2 Operation 4 duration 75 mins.
Job 3 Operation 5 duration 63 mins.
Job 6 Operation 5 duration 235 mins.
Job 5 Operation 6 duration 297 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 107 mins.
Job 3 Operation 0 duration 209 mins.
Job 4 Operation 0 duration 228 mins.
Job 6 Operation 0 duration 174 mins.
Job 2 Operation 2 duration 294 mins.
Job 5 Operation 4 duration 18 mins.
Job 0 Operation 6 duration 271 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 265 mins.
Job 5 Operation 0 duration 15 mins.
Job 6 Operation 1 duration 206 mins.
Job 4 Operation 2 duration 78 mins.
Job 0 Operation 3 duration 112 mins.
Job 3 Operation 3 duration 43 mins.
Job 1 Operation 4 duration 221 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 1 duration 98 mins.
Job 1 Operation 2 duration 156 mins.
Job 5 Operation 2 duration 4 mins.
Job 3 Operation 4 duration 244 mins.
Job 4 Operation 4 duration 25 mins.
Job 2 Operation 6 duration 9 mins.
Job 6 Operation 6 duration 278 mins.
| Solution:
Job 0 Operation 0 on Machine 2 : 0 + 210 -> 210
Job 1 Operation 0 on Machine 4 : 0 + 107 -> 107
Job 5 Operation 0 on Machine 5 : 0 + 15 -> 15
Job 5 Operation 1 on Machine 0 : 15 + 123 -> 138
Job 2 Operation 0 on Machine 5 : 15 + 265 -> 280
Job 1 Operation 1 on Machine 1 : 107 + 26 -> 133
Job 6 Operation 0 on Machine 4 : 107 + 174 -> 281
Job 1 Operation 2 on Machine 6 : 133 + 156 -> 289
Job 2 Operation 1 on Machine 0 : 280 + 174 -> 454
Job 4 Operation 0 on Machine 4 : 281 + 228 -> 509
Job 6 Operation 1 on Machine 5 : 281 + 206 -> 487
Job 1 Operation 3 on Machine 3 : 289 + 308 -> 597
Job 5 Operation 2 on Machine 6 : 289 + 4 -> 293
Job 5 Operation 3 on Machine 1 : 293 + 116 -> 409
Job 0 Operation 1 on Machine 6 : 293 + 98 -> 391
Job 6 Operation 2 on Machine 0 : 487 + 24 -> 511
Job 3 Operation 0 on Machine 4 : 509 + 209 -> 718
Job 6 Operation 3 on Machine 1 : 511 + 215 -> 726
Job 4 Operation 1 on Machine 3 : 597 + 306 -> 903
Job 1 Operation 4 on Machine 5 : 597 + 221 -> 818
Job 5 Operation 4 on Machine 4 : 718 + 18 -> 736
Job 3 Operation 1 on Machine 1 : 726 + 94 -> 820
Job 6 Operation 4 on Machine 2 : 726 + 89 -> 815
Job 2 Operation 2 on Machine 4 : 736 + 294 -> 1030
Job 1 Operation 5 on Machine 0 : 818 + 162 -> 980
Job 0 Operation 2 on Machine 1 : 820 + 247 -> 1067
Job 3 Operation 2 on Machine 2 : 820 + 286 -> 1106
Job 6 Operation 5 on Machine 3 : 903 + 235 -> 1138
Job 4 Operation 2 on Machine 5 : 903 + 78 -> 981
Job 4 Operation 3 on Machine 0 : 981 + 137 -> 1118
Job 2 Operation 3 on Machine 1 : 1067 + 75 -> 1142
Job 5 Operation 5 on Machine 2 : 1106 + 11 -> 1117
Job 3 Operation 3 on Machine 5 : 1106 + 43 -> 1149
Job 4 Operation 4 on Machine 6 : 1118 + 25 -> 1143
Job 2 Operation 4 on Machine 3 : 1142 + 75 -> 1217
Job 4 Operation 5 on Machine 1 : 1143 + 133 -> 1276
Job 0 Operation 3 on Machine 5 : 1149 + 112 -> 1261
Job 3 Operation 4 on Machine 6 : 1149 + 244 -> 1393
Job 2 Operation 5 on Machine 2 : 1217 + 36 -> 1253
Job 0 Operation 4 on Machine 3 : 1261 + 94 -> 1355
Job 4 Operation 6 on Machine 2 : 1276 + 190 -> 1466
Job 0 Operation 5 on Machine 0 : 1355 + 36 -> 1391
Job 0 Operation 6 on Machine 4 : 1391 + 271 -> 1662
Job 3 Operation 5 on Machine 3 : 1393 + 63 -> 1456
Job 2 Operation 6 on Machine 6 : 1393 + 9 -> 1402
Job 6 Operation 6 on Machine 6 : 1402 + 278 -> 1680
Job 3 Operation 6 on Machine 0 : 1456 + 121 -> 1577
Job 5 Operation 6 on Machine 3 : 1456 + 297 -> 1753
Job 1 Operation 6 on Machine 2 : 1466 + 283 -> 1749
Makespan: 1753.0, as it is the maximum end completion time of Operation 6 |
5 | 2 | Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 142 mins.
Operation 1 on Machine 1 duration 152 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 185 mins.
Operation 1 on Machine 1 duration 224 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 94 mins.
Operation 1 on Machine 0 duration 125 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 146 mins.
Operation 1 on Machine 1 duration 70 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 198 mins.
Operation 1 on Machine 1 duration 217 mins.
| Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 142 mins.
Job 1 Operation 0 duration 185 mins.
Job 3 Operation 0 duration 146 mins.
Job 4 Operation 0 duration 198 mins.
Job 2 Operation 1 duration 125 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 94 mins.
Job 0 Operation 1 duration 152 mins.
Job 1 Operation 1 duration 224 mins.
Job 3 Operation 1 duration 70 mins.
Job 4 Operation 1 duration 217 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 142 -> 142
Job 2 Operation 0 on Machine 1 : 0 + 94 -> 94
Job 1 Operation 0 on Machine 0 : 142 + 185 -> 327
Job 0 Operation 1 on Machine 1 : 142 + 152 -> 294
Job 4 Operation 0 on Machine 0 : 327 + 198 -> 525
Job 1 Operation 1 on Machine 1 : 327 + 224 -> 551
Job 3 Operation 0 on Machine 0 : 525 + 146 -> 671
Job 4 Operation 1 on Machine 1 : 551 + 217 -> 768
Job 2 Operation 1 on Machine 0 : 671 + 125 -> 796
Job 3 Operation 1 on Machine 1 : 768 + 70 -> 838
Makespan: 838.0, as it is the maximum end completion time of Operation 1 |
20 | 20 | Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 18 duration 177 mins.
Operation 1 on Machine 5 duration 124 mins.
Operation 2 on Machine 9 duration 135 mins.
Operation 3 on Machine 4 duration 154 mins.
Operation 4 on Machine 15 duration 173 mins.
Operation 5 on Machine 7 duration 171 mins.
Operation 6 on Machine 12 duration 175 mins.
Operation 7 on Machine 2 duration 169 mins.
Operation 8 on Machine 13 duration 42 mins.
Operation 9 on Machine 17 duration 164 mins.
Operation 10 on Machine 19 duration 68 mins.
Operation 11 on Machine 16 duration 28 mins.
Operation 12 on Machine 6 duration 153 mins.
Operation 13 on Machine 11 duration 266 mins.
Operation 14 on Machine 14 duration 135 mins.
Operation 15 on Machine 0 duration 227 mins.
Operation 16 on Machine 1 duration 74 mins.
Operation 17 on Machine 10 duration 27 mins.
Operation 18 on Machine 3 duration 125 mins.
Operation 19 on Machine 8 duration 3 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 9 duration 167 mins.
Operation 1 on Machine 14 duration 147 mins.
Operation 2 on Machine 4 duration 22 mins.
Operation 3 on Machine 16 duration 11 mins.
Operation 4 on Machine 1 duration 158 mins.
Operation 5 on Machine 11 duration 53 mins.
Operation 6 on Machine 10 duration 35 mins.
Operation 7 on Machine 0 duration 156 mins.
Operation 8 on Machine 15 duration 94 mins.
Operation 9 on Machine 5 duration 221 mins.
Operation 10 on Machine 18 duration 59 mins.
Operation 11 on Machine 2 duration 198 mins.
Operation 12 on Machine 6 duration 262 mins.
Operation 13 on Machine 13 duration 87 mins.
Operation 14 on Machine 3 duration 157 mins.
Operation 15 on Machine 8 duration 40 mins.
Operation 16 on Machine 17 duration 241 mins.
Operation 17 on Machine 12 duration 82 mins.
Operation 18 on Machine 19 duration 167 mins.
Operation 19 on Machine 7 duration 265 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 122 mins.
Operation 1 on Machine 13 duration 34 mins.
Operation 2 on Machine 4 duration 90 mins.
Operation 3 on Machine 18 duration 217 mins.
Operation 4 on Machine 11 duration 110 mins.
Operation 5 on Machine 0 duration 140 mins.
Operation 6 on Machine 19 duration 15 mins.
Operation 7 on Machine 10 duration 225 mins.
Operation 8 on Machine 12 duration 43 mins.
Operation 9 on Machine 2 duration 72 mins.
Operation 10 on Machine 17 duration 53 mins.
Operation 11 on Machine 15 duration 18 mins.
Operation 12 on Machine 16 duration 185 mins.
Operation 13 on Machine 6 duration 103 mins.
Operation 14 on Machine 9 duration 34 mins.
Operation 15 on Machine 7 duration 157 mins.
Operation 16 on Machine 8 duration 176 mins.
Operation 17 on Machine 1 duration 88 mins.
Operation 18 on Machine 14 duration 111 mins.
Operation 19 on Machine 3 duration 84 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 7 mins.
Operation 1 on Machine 6 duration 175 mins.
Operation 2 on Machine 16 duration 79 mins.
Operation 3 on Machine 3 duration 165 mins.
Operation 4 on Machine 4 duration 206 mins.
Operation 5 on Machine 5 duration 72 mins.
Operation 6 on Machine 11 duration 262 mins.
Operation 7 on Machine 14 duration 244 mins.
Operation 8 on Machine 18 duration 270 mins.
Operation 9 on Machine 9 duration 68 mins.
Operation 10 on Machine 7 duration 267 mins.
Operation 11 on Machine 12 duration 210 mins.
Operation 12 on Machine 0 duration 116 mins.
Operation 13 on Machine 10 duration 166 mins.
Operation 14 on Machine 2 duration 6 mins.
Operation 15 on Machine 17 duration 197 mins.
Operation 16 on Machine 15 duration 157 mins.
Operation 17 on Machine 8 duration 214 mins.
Operation 18 on Machine 13 duration 191 mins.
Operation 19 on Machine 19 duration 194 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 10 duration 230 mins.
Operation 1 on Machine 9 duration 239 mins.
Operation 2 on Machine 6 duration 100 mins.
Operation 3 on Machine 8 duration 157 mins.
Operation 4 on Machine 16 duration 12 mins.
Operation 5 on Machine 11 duration 3 mins.
Operation 6 on Machine 2 duration 113 mins.
Operation 7 on Machine 14 duration 80 mins.
Operation 8 on Machine 4 duration 180 mins.
Operation 9 on Machine 17 duration 148 mins.
Operation 10 on Machine 18 duration 143 mins.
Operation 11 on Machine 12 duration 74 mins.
Operation 12 on Machine 19 duration 1 mins.
Operation 13 on Machine 5 duration 223 mins.
Operation 14 on Machine 1 duration 74 mins.
Operation 15 on Machine 0 duration 131 mins.
Operation 16 on Machine 13 duration 149 mins.
Operation 17 on Machine 7 duration 27 mins.
Operation 18 on Machine 3 duration 105 mins.
Operation 19 on Machine 15 duration 194 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 8 duration 14 mins.
Operation 1 on Machine 4 duration 157 mins.
Operation 2 on Machine 17 duration 21 mins.
Operation 3 on Machine 18 duration 35 mins.
Operation 4 on Machine 2 duration 180 mins.
Operation 5 on Machine 7 duration 113 mins.
Operation 6 on Machine 11 duration 233 mins.
Operation 7 on Machine 15 duration 81 mins.
Operation 8 on Machine 6 duration 132 mins.
Operation 9 on Machine 16 duration 82 mins.
Operation 10 on Machine 9 duration 204 mins.
Operation 11 on Machine 5 duration 15 mins.
Operation 12 on Machine 10 duration 87 mins.
Operation 13 on Machine 12 duration 269 mins.
Operation 14 on Machine 0 duration 30 mins.
Operation 15 on Machine 3 duration 135 mins.
Operation 16 on Machine 1 duration 20 mins.
Operation 17 on Machine 13 duration 59 mins.
Operation 18 on Machine 14 duration 59 mins.
Operation 19 on Machine 19 duration 175 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 72 mins.
Operation 1 on Machine 19 duration 35 mins.
Operation 2 on Machine 12 duration 144 mins.
Operation 3 on Machine 7 duration 253 mins.
Operation 4 on Machine 2 duration 131 mins.
Operation 5 on Machine 16 duration 175 mins.
Operation 6 on Machine 4 duration 2 mins.
Operation 7 on Machine 9 duration 64 mins.
Operation 8 on Machine 15 duration 99 mins.
Operation 9 on Machine 11 duration 80 mins.
Operation 10 on Machine 6 duration 243 mins.
Operation 11 on Machine 5 duration 261 mins.
Operation 12 on Machine 10 duration 206 mins.
Operation 13 on Machine 14 duration 174 mins.
Operation 14 on Machine 13 duration 252 mins.
Operation 15 on Machine 18 duration 59 mins.
Operation 16 on Machine 3 duration 52 mins.
Operation 17 on Machine 17 duration 243 mins.
Operation 18 on Machine 8 duration 237 mins.
Operation 19 on Machine 1 duration 62 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 227 mins.
Operation 1 on Machine 19 duration 196 mins.
Operation 2 on Machine 16 duration 240 mins.
Operation 3 on Machine 11 duration 176 mins.
Operation 4 on Machine 15 duration 20 mins.
Operation 5 on Machine 14 duration 92 mins.
Operation 6 on Machine 10 duration 209 mins.
Operation 7 on Machine 9 duration 197 mins.
Operation 8 on Machine 6 duration 115 mins.
Operation 9 on Machine 13 duration 268 mins.
Operation 10 on Machine 18 duration 158 mins.
Operation 11 on Machine 7 duration 238 mins.
Operation 12 on Machine 2 duration 266 mins.
Operation 13 on Machine 0 duration 253 mins.
Operation 14 on Machine 4 duration 61 mins.
Operation 15 on Machine 17 duration 240 mins.
Operation 16 on Machine 3 duration 128 mins.
Operation 17 on Machine 8 duration 215 mins.
Operation 18 on Machine 5 duration 107 mins.
Operation 19 on Machine 12 duration 89 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 16 duration 138 mins.
Operation 1 on Machine 4 duration 215 mins.
Operation 2 on Machine 8 duration 105 mins.
Operation 3 on Machine 0 duration 167 mins.
Operation 4 on Machine 3 duration 30 mins.
Operation 5 on Machine 9 duration 195 mins.
Operation 6 on Machine 19 duration 261 mins.
Operation 7 on Machine 13 duration 2 mins.
Operation 8 on Machine 6 duration 180 mins.
Operation 9 on Machine 2 duration 44 mins.
Operation 10 on Machine 7 duration 85 mins.
Operation 11 on Machine 14 duration 246 mins.
Operation 12 on Machine 1 duration 232 mins.
Operation 13 on Machine 17 duration 135 mins.
Operation 14 on Machine 10 duration 225 mins.
Operation 15 on Machine 12 duration 21 mins.
Operation 16 on Machine 15 duration 113 mins.
Operation 17 on Machine 5 duration 84 mins.
Operation 18 on Machine 18 duration 55 mins.
Operation 19 on Machine 11 duration 236 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 103 mins.
Operation 1 on Machine 6 duration 75 mins.
Operation 2 on Machine 0 duration 124 mins.
Operation 3 on Machine 3 duration 77 mins.
Operation 4 on Machine 2 duration 191 mins.
Operation 5 on Machine 7 duration 63 mins.
Operation 6 on Machine 13 duration 5 mins.
Operation 7 on Machine 19 duration 209 mins.
Operation 8 on Machine 5 duration 122 mins.
Operation 9 on Machine 4 duration 45 mins.
Operation 10 on Machine 9 duration 186 mins.
Operation 11 on Machine 12 duration 151 mins.
Operation 12 on Machine 14 duration 7 mins.
Operation 13 on Machine 10 duration 152 mins.
Operation 14 on Machine 18 duration 208 mins.
Operation 15 on Machine 16 duration 106 mins.
Operation 16 on Machine 8 duration 249 mins.
Operation 17 on Machine 17 duration 176 mins.
Operation 18 on Machine 15 duration 7 mins.
Operation 19 on Machine 11 duration 223 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 7 duration 197 mins.
Operation 1 on Machine 5 duration 3 mins.
Operation 2 on Machine 9 duration 202 mins.
Operation 3 on Machine 14 duration 191 mins.
Operation 4 on Machine 15 duration 258 mins.
Operation 5 on Machine 4 duration 172 mins.
Operation 6 on Machine 12 duration 207 mins.
Operation 7 on Machine 11 duration 124 mins.
Operation 8 on Machine 3 duration 202 mins.
Operation 9 on Machine 13 duration 136 mins.
Operation 10 on Machine 1 duration 13 mins.
Operation 11 on Machine 16 duration 102 mins.
Operation 12 on Machine 8 duration 262 mins.
Operation 13 on Machine 17 duration 266 mins.
Operation 14 on Machine 2 duration 70 mins.
Operation 15 on Machine 19 duration 169 mins.
Operation 16 on Machine 0 duration 185 mins.
Operation 17 on Machine 10 duration 233 mins.
Operation 18 on Machine 6 duration 133 mins.
Operation 19 on Machine 18 duration 239 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 6 duration 45 mins.
Operation 1 on Machine 3 duration 256 mins.
Operation 2 on Machine 13 duration 41 mins.
Operation 3 on Machine 0 duration 38 mins.
Operation 4 on Machine 14 duration 112 mins.
Operation 5 on Machine 7 duration 141 mins.
Operation 6 on Machine 9 duration 89 mins.
Operation 7 on Machine 1 duration 18 mins.
Operation 8 on Machine 12 duration 25 mins.
Operation 9 on Machine 5 duration 23 mins.
Operation 10 on Machine 18 duration 254 mins.
Operation 11 on Machine 8 duration 237 mins.
Operation 12 on Machine 19 duration 142 mins.
Operation 13 on Machine 2 duration 22 mins.
Operation 14 on Machine 15 duration 160 mins.
Operation 15 on Machine 16 duration 3 mins.
Operation 16 on Machine 17 duration 53 mins.
Operation 17 on Machine 4 duration 182 mins.
Operation 18 on Machine 10 duration 266 mins.
Operation 19 on Machine 11 duration 218 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 13 duration 219 mins.
Operation 1 on Machine 8 duration 163 mins.
Operation 2 on Machine 0 duration 206 mins.
Operation 3 on Machine 12 duration 250 mins.
Operation 4 on Machine 1 duration 86 mins.
Operation 5 on Machine 14 duration 257 mins.
Operation 6 on Machine 18 duration 30 mins.
Operation 7 on Machine 5 duration 65 mins.
Operation 8 on Machine 16 duration 134 mins.
Operation 9 on Machine 4 duration 5 mins.
Operation 10 on Machine 2 duration 226 mins.
Operation 11 on Machine 19 duration 16 mins.
Operation 12 on Machine 10 duration 77 mins.
Operation 13 on Machine 11 duration 216 mins.
Operation 14 on Machine 7 duration 189 mins.
Operation 15 on Machine 3 duration 113 mins.
Operation 16 on Machine 9 duration 173 mins.
Operation 17 on Machine 17 duration 181 mins.
Operation 18 on Machine 15 duration 168 mins.
Operation 19 on Machine 6 duration 110 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 16 duration 190 mins.
Operation 1 on Machine 11 duration 215 mins.
Operation 2 on Machine 3 duration 210 mins.
Operation 3 on Machine 19 duration 105 mins.
Operation 4 on Machine 6 duration 161 mins.
Operation 5 on Machine 13 duration 178 mins.
Operation 6 on Machine 15 duration 205 mins.
Operation 7 on Machine 18 duration 221 mins.
Operation 8 on Machine 8 duration 72 mins.
Operation 9 on Machine 9 duration 35 mins.
Operation 10 on Machine 17 duration 243 mins.
Operation 11 on Machine 10 duration 36 mins.
Operation 12 on Machine 2 duration 108 mins.
Operation 13 on Machine 12 duration 133 mins.
Operation 14 on Machine 0 duration 186 mins.
Operation 15 on Machine 7 duration 220 mins.
Operation 16 on Machine 14 duration 132 mins.
Operation 17 on Machine 4 duration 35 mins.
Operation 18 on Machine 5 duration 103 mins.
Operation 19 on Machine 1 duration 29 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 17 duration 18 mins.
Operation 1 on Machine 4 duration 268 mins.
Operation 2 on Machine 8 duration 135 mins.
Operation 3 on Machine 13 duration 219 mins.
Operation 4 on Machine 19 duration 72 mins.
Operation 5 on Machine 7 duration 44 mins.
Operation 6 on Machine 5 duration 161 mins.
Operation 7 on Machine 9 duration 128 mins.
Operation 8 on Machine 3 duration 174 mins.
Operation 9 on Machine 15 duration 250 mins.
Operation 10 on Machine 14 duration 60 mins.
Operation 11 on Machine 18 duration 255 mins.
Operation 12 on Machine 2 duration 269 mins.
Operation 13 on Machine 6 duration 232 mins.
Operation 14 on Machine 0 duration 176 mins.
Operation 15 on Machine 11 duration 202 mins.
Operation 16 on Machine 1 duration 252 mins.
Operation 17 on Machine 12 duration 264 mins.
Operation 18 on Machine 10 duration 3 mins.
Operation 19 on Machine 16 duration 142 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 14 duration 78 mins.
Operation 1 on Machine 0 duration 223 mins.
Operation 2 on Machine 19 duration 91 mins.
Operation 3 on Machine 6 duration 23 mins.
Operation 4 on Machine 5 duration 138 mins.
Operation 5 on Machine 15 duration 148 mins.
Operation 6 on Machine 4 duration 16 mins.
Operation 7 on Machine 18 duration 96 mins.
Operation 8 on Machine 12 duration 29 mins.
Operation 9 on Machine 11 duration 30 mins.
Operation 10 on Machine 1 duration 94 mins.
Operation 11 on Machine 13 duration 182 mins.
Operation 12 on Machine 9 duration 174 mins.
Operation 13 on Machine 16 duration 110 mins.
Operation 14 on Machine 10 duration 232 mins.
Operation 15 on Machine 17 duration 155 mins.
Operation 16 on Machine 3 duration 171 mins.
Operation 17 on Machine 2 duration 187 mins.
Operation 18 on Machine 7 duration 38 mins.
Operation 19 on Machine 8 duration 10 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 7 duration 152 mins.
Operation 1 on Machine 14 duration 73 mins.
Operation 2 on Machine 4 duration 115 mins.
Operation 3 on Machine 9 duration 170 mins.
Operation 4 on Machine 5 duration 128 mins.
Operation 5 on Machine 8 duration 116 mins.
Operation 6 on Machine 18 duration 174 mins.
Operation 7 on Machine 15 duration 91 mins.
Operation 8 on Machine 10 duration 185 mins.
Operation 9 on Machine 6 duration 254 mins.
Operation 10 on Machine 3 duration 149 mins.
Operation 11 on Machine 11 duration 17 mins.
Operation 12 on Machine 16 duration 162 mins.
Operation 13 on Machine 13 duration 211 mins.
Operation 14 on Machine 2 duration 133 mins.
Operation 15 on Machine 1 duration 164 mins.
Operation 16 on Machine 17 duration 155 mins.
Operation 17 on Machine 19 duration 81 mins.
Operation 18 on Machine 0 duration 156 mins.
Operation 19 on Machine 12 duration 257 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 16 duration 113 mins.
Operation 1 on Machine 7 duration 186 mins.
Operation 2 on Machine 17 duration 43 mins.
Operation 3 on Machine 8 duration 153 mins.
Operation 4 on Machine 15 duration 105 mins.
Operation 5 on Machine 12 duration 243 mins.
Operation 6 on Machine 0 duration 220 mins.
Operation 7 on Machine 2 duration 57 mins.
Operation 8 on Machine 9 duration 87 mins.
Operation 9 on Machine 10 duration 106 mins.
Operation 10 on Machine 1 duration 14 mins.
Operation 11 on Machine 3 duration 230 mins.
Operation 12 on Machine 19 duration 201 mins.
Operation 13 on Machine 18 duration 256 mins.
Operation 14 on Machine 4 duration 203 mins.
Operation 15 on Machine 13 duration 56 mins.
Operation 16 on Machine 14 duration 205 mins.
Operation 17 on Machine 5 duration 170 mins.
Operation 18 on Machine 11 duration 105 mins.
Operation 19 on Machine 6 duration 176 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 9 duration 182 mins.
Operation 1 on Machine 3 duration 135 mins.
Operation 2 on Machine 17 duration 118 mins.
Operation 3 on Machine 8 duration 110 mins.
Operation 4 on Machine 16 duration 3 mins.
Operation 5 on Machine 10 duration 217 mins.
Operation 6 on Machine 14 duration 134 mins.
Operation 7 on Machine 2 duration 203 mins.
Operation 8 on Machine 11 duration 222 mins.
Operation 9 on Machine 1 duration 232 mins.
Operation 10 on Machine 5 duration 135 mins.
Operation 11 on Machine 6 duration 184 mins.
Operation 12 on Machine 15 duration 264 mins.
Operation 13 on Machine 7 duration 165 mins.
Operation 14 on Machine 4 duration 59 mins.
Operation 15 on Machine 12 duration 265 mins.
Operation 16 on Machine 18 duration 23 mins.
Operation 17 on Machine 13 duration 175 mins.
Operation 18 on Machine 19 duration 225 mins.
Operation 19 on Machine 0 duration 193 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 14 duration 125 mins.
Operation 1 on Machine 10 duration 237 mins.
Operation 2 on Machine 4 duration 102 mins.
Operation 3 on Machine 9 duration 160 mins.
Operation 4 on Machine 16 duration 47 mins.
Operation 5 on Machine 7 duration 58 mins.
Operation 6 on Machine 1 duration 224 mins.
Operation 7 on Machine 17 duration 48 mins.
Operation 8 on Machine 15 duration 263 mins.
Operation 9 on Machine 0 duration 211 mins.
Operation 10 on Machine 12 duration 217 mins.
Operation 11 on Machine 11 duration 31 mins.
Operation 12 on Machine 6 duration 56 mins.
Operation 13 on Machine 19 duration 5 mins.
Operation 14 on Machine 3 duration 15 mins.
Operation 15 on Machine 5 duration 213 mins.
Operation 16 on Machine 8 duration 181 mins.
Operation 17 on Machine 13 duration 264 mins.
Operation 18 on Machine 2 duration 201 mins.
Operation 19 on Machine 18 duration 27 mins.
| Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 72 mins.
Job 15 Operation 1 duration 223 mins.
Job 9 Operation 2 duration 124 mins.
Job 12 Operation 2 duration 206 mins.
Job 8 Operation 3 duration 167 mins.
Job 11 Operation 3 duration 38 mins.
Job 2 Operation 5 duration 140 mins.
Job 17 Operation 6 duration 220 mins.
Job 1 Operation 7 duration 156 mins.
Job 19 Operation 9 duration 211 mins.
Job 3 Operation 12 duration 116 mins.
Job 7 Operation 13 duration 253 mins.
Job 5 Operation 14 duration 30 mins.
Job 13 Operation 14 duration 186 mins.
Job 14 Operation 14 duration 176 mins.
Job 0 Operation 15 duration 227 mins.
Job 4 Operation 15 duration 131 mins.
Job 10 Operation 16 duration 185 mins.
Job 16 Operation 18 duration 156 mins.
Job 18 Operation 19 duration 193 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 7 mins.
Job 7 Operation 0 duration 227 mins.
Job 9 Operation 0 duration 103 mins.
Job 1 Operation 4 duration 158 mins.
Job 12 Operation 4 duration 86 mins.
Job 19 Operation 6 duration 224 mins.
Job 11 Operation 7 duration 18 mins.
Job 18 Operation 9 duration 232 mins.
Job 10 Operation 10 duration 13 mins.
Job 15 Operation 10 duration 94 mins.
Job 17 Operation 10 duration 14 mins.
Job 8 Operation 12 duration 232 mins.
Job 4 Operation 14 duration 74 mins.
Job 16 Operation 15 duration 164 mins.
Job 0 Operation 16 duration 74 mins.
Job 5 Operation 16 duration 20 mins.
Job 14 Operation 16 duration 252 mins.
Job 2 Operation 17 duration 88 mins.
Job 6 Operation 19 duration 62 mins.
Job 13 Operation 19 duration 29 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 4 duration 180 mins.
Job 6 Operation 4 duration 131 mins.
Job 9 Operation 4 duration 191 mins.
Job 4 Operation 6 duration 113 mins.
Job 0 Operation 7 duration 169 mins.
Job 17 Operation 7 duration 57 mins.
Job 18 Operation 7 duration 203 mins.
Job 2 Operation 9 duration 72 mins.
Job 8 Operation 9 duration 44 mins.
Job 12 Operation 10 duration 226 mins.
Job 1 Operation 11 duration 198 mins.
Job 7 Operation 12 duration 266 mins.
Job 13 Operation 12 duration 108 mins.
Job 14 Operation 12 duration 269 mins.
Job 11 Operation 13 duration 22 mins.
Job 3 Operation 14 duration 6 mins.
Job 10 Operation 14 duration 70 mins.
Job 16 Operation 14 duration 133 mins.
Job 15 Operation 17 duration 187 mins.
Job 19 Operation 18 duration 201 mins.
Machine 3 is used for the following Operations:
Job 11 Operation 1 duration 256 mins.
Job 18 Operation 1 duration 135 mins.
Job 13 Operation 2 duration 210 mins.
Job 3 Operation 3 duration 165 mins.
Job 9 Operation 3 duration 77 mins.
Job 8 Operation 4 duration 30 mins.
Job 10 Operation 8 duration 202 mins.
Job 14 Operation 8 duration 174 mins.
Job 16 Operation 10 duration 149 mins.
Job 17 Operation 11 duration 230 mins.
Job 1 Operation 14 duration 157 mins.
Job 19 Operation 14 duration 15 mins.
Job 5 Operation 15 duration 135 mins.
Job 12 Operation 15 duration 113 mins.
Job 6 Operation 16 duration 52 mins.
Job 7 Operation 16 duration 128 mins.
Job 15 Operation 16 duration 171 mins.
Job 0 Operation 18 duration 125 mins.
Job 4 Operation 18 duration 105 mins.
Job 2 Operation 19 duration 84 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 1 duration 157 mins.
Job 8 Operation 1 duration 215 mins.
Job 14 Operation 1 duration 268 mins.
Job 1 Operation 2 duration 22 mins.
Job 2 Operation 2 duration 90 mins.
Job 16 Operation 2 duration 115 mins.
Job 19 Operation 2 duration 102 mins.
Job 0 Operation 3 duration 154 mins.
Job 3 Operation 4 duration 206 mins.
Job 10 Operation 5 duration 172 mins.
Job 6 Operation 6 duration 2 mins.
Job 15 Operation 6 duration 16 mins.
Job 4 Operation 8 duration 180 mins.
Job 9 Operation 9 duration 45 mins.
Job 12 Operation 9 duration 5 mins.
Job 7 Operation 14 duration 61 mins.
Job 17 Operation 14 duration 203 mins.
Job 18 Operation 14 duration 59 mins.
Job 11 Operation 17 duration 182 mins.
Job 13 Operation 17 duration 35 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 122 mins.
Job 0 Operation 1 duration 124 mins.
Job 10 Operation 1 duration 3 mins.
Job 15 Operation 4 duration 138 mins.
Job 16 Operation 4 duration 128 mins.
Job 3 Operation 5 duration 72 mins.
Job 14 Operation 6 duration 161 mins.
Job 12 Operation 7 duration 65 mins.
Job 9 Operation 8 duration 122 mins.
Job 1 Operation 9 duration 221 mins.
Job 11 Operation 9 duration 23 mins.
Job 18 Operation 10 duration 135 mins.
Job 5 Operation 11 duration 15 mins.
Job 6 Operation 11 duration 261 mins.
Job 4 Operation 13 duration 223 mins.
Job 19 Operation 15 duration 213 mins.
Job 8 Operation 17 duration 84 mins.
Job 17 Operation 17 duration 170 mins.
Job 7 Operation 18 duration 107 mins.
Job 13 Operation 18 duration 103 mins.
Machine 6 is used for the following Operations:
Job 11 Operation 0 duration 45 mins.
Job 3 Operation 1 duration 175 mins.
Job 9 Operation 1 duration 75 mins.
Job 4 Operation 2 duration 100 mins.
Job 15 Operation 3 duration 23 mins.
Job 13 Operation 4 duration 161 mins.
Job 5 Operation 8 duration 132 mins.
Job 7 Operation 8 duration 115 mins.
Job 8 Operation 8 duration 180 mins.
Job 16 Operation 9 duration 254 mins.
Job 6 Operation 10 duration 243 mins.
Job 18 Operation 11 duration 184 mins.
Job 0 Operation 12 duration 153 mins.
Job 1 Operation 12 duration 262 mins.
Job 19 Operation 12 duration 56 mins.
Job 2 Operation 13 duration 103 mins.
Job 14 Operation 13 duration 232 mins.
Job 10 Operation 18 duration 133 mins.
Job 12 Operation 19 duration 110 mins.
Job 17 Operation 19 duration 176 mins.
Machine 7 is used for the following Operations:
Job 10 Operation 0 duration 197 mins.
Job 16 Operation 0 duration 152 mins.
Job 17 Operation 1 duration 186 mins.
Job 6 Operation 3 duration 253 mins.
Job 0 Operation 5 duration 171 mins.
Job 5 Operation 5 duration 113 mins.
Job 9 Operation 5 duration 63 mins.
Job 11 Operation 5 duration 141 mins.
Job 14 Operation 5 duration 44 mins.
Job 19 Operation 5 duration 58 mins.
Job 3 Operation 10 duration 267 mins.
Job 8 Operation 10 duration 85 mins.
Job 7 Operation 11 duration 238 mins.
Job 18 Operation 13 duration 165 mins.
Job 12 Operation 14 duration 189 mins.
Job 2 Operation 15 duration 157 mins.
Job 13 Operation 15 duration 220 mins.
Job 4 Operation 17 duration 27 mins.
Job 15 Operation 18 duration 38 mins.
Job 1 Operation 19 duration 265 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 0 duration 14 mins.
Job 12 Operation 1 duration 163 mins.
Job 8 Operation 2 duration 105 mins.
Job 14 Operation 2 duration 135 mins.
Job 4 Operation 3 duration 157 mins.
Job 17 Operation 3 duration 153 mins.
Job 18 Operation 3 duration 110 mins.
Job 16 Operation 5 duration 116 mins.
Job 13 Operation 8 duration 72 mins.
Job 11 Operation 11 duration 237 mins.
Job 10 Operation 12 duration 262 mins.
Job 1 Operation 15 duration 40 mins.
Job 2 Operation 16 duration 176 mins.
Job 9 Operation 16 duration 249 mins.
Job 19 Operation 16 duration 181 mins.
Job 3 Operation 17 duration 214 mins.
Job 7 Operation 17 duration 215 mins.
Job 6 Operation 18 duration 237 mins.
Job 0 Operation 19 duration 3 mins.
Job 15 Operation 19 duration 10 mins.
Machine 9 is used for the following Operations:
Job 1 Operation 0 duration 167 mins.
Job 18 Operation 0 duration 182 mins.
Job 4 Operation 1 duration 239 mins.
Job 0 Operation 2 duration 135 mins.
Job 10 Operation 2 duration 202 mins.
Job 16 Operation 3 duration 170 mins.
Job 19 Operation 3 duration 160 mins.
Job 8 Operation 5 duration 195 mins.
Job 11 Operation 6 duration 89 mins.
Job 6 Operation 7 duration 64 mins.
Job 7 Operation 7 duration 197 mins.
Job 14 Operation 7 duration 128 mins.
Job 17 Operation 8 duration 87 mins.
Job 3 Operation 9 duration 68 mins.
Job 13 Operation 9 duration 35 mins.
Job 5 Operation 10 duration 204 mins.
Job 9 Operation 10 duration 186 mins.
Job 15 Operation 12 duration 174 mins.
Job 2 Operation 14 duration 34 mins.
Job 12 Operation 16 duration 173 mins.
Machine 10 is used for the following Operations:
Job 4 Operation 0 duration 230 mins.
Job 19 Operation 1 duration 237 mins.
Job 18 Operation 5 duration 217 mins.
Job 1 Operation 6 duration 35 mins.
Job 7 Operation 6 duration 209 mins.
Job 2 Operation 7 duration 225 mins.
Job 16 Operation 8 duration 185 mins.
Job 17 Operation 9 duration 106 mins.
Job 13 Operation 11 duration 36 mins.
Job 5 Operation 12 duration 87 mins.
Job 6 Operation 12 duration 206 mins.
Job 12 Operation 12 duration 77 mins.
Job 3 Operation 13 duration 166 mins.
Job 9 Operation 13 duration 152 mins.
Job 8 Operation 14 duration 225 mins.
Job 15 Operation 14 duration 232 mins.
Job 0 Operation 17 duration 27 mins.
Job 10 Operation 17 duration 233 mins.
Job 11 Operation 18 duration 266 mins.
Job 14 Operation 18 duration 3 mins.
Machine 11 is used for the following Operations:
Job 13 Operation 1 duration 215 mins.
Job 7 Operation 3 duration 176 mins.
Job 2 Operation 4 duration 110 mins.
Job 1 Operation 5 duration 53 mins.
Job 4 Operation 5 duration 3 mins.
Job 3 Operation 6 duration 262 mins.
Job 5 Operation 6 duration 233 mins.
Job 10 Operation 7 duration 124 mins.
Job 18 Operation 8 duration 222 mins.
Job 6 Operation 9 duration 80 mins.
Job 15 Operation 9 duration 30 mins.
Job 16 Operation 11 duration 17 mins.
Job 19 Operation 11 duration 31 mins.
Job 0 Operation 13 duration 266 mins.
Job 12 Operation 13 duration 216 mins.
Job 14 Operation 15 duration 202 mins.
Job 17 Operation 18 duration 105 mins.
Job 8 Operation 19 duration 236 mins.
Job 9 Operation 19 duration 223 mins.
Job 11 Operation 19 duration 218 mins.
Machine 12 is used for the following Operations:
Job 6 Operation 2 duration 144 mins.
Job 12 Operation 3 duration 250 mins.
Job 17 Operation 5 duration 243 mins.
Job 0 Operation 6 duration 175 mins.
Job 10 Operation 6 duration 207 mins.
Job 2 Operation 8 duration 43 mins.
Job 11 Operation 8 duration 25 mins.
Job 15 Operation 8 duration 29 mins.
Job 19 Operation 10 duration 217 mins.
Job 3 Operation 11 duration 210 mins.
Job 4 Operation 11 duration 74 mins.
Job 9 Operation 11 duration 151 mins.
Job 5 Operation 13 duration 269 mins.
Job 13 Operation 13 duration 133 mins.
Job 8 Operation 15 duration 21 mins.
Job 18 Operation 15 duration 265 mins.
Job 1 Operation 17 duration 82 mins.
Job 14 Operation 17 duration 264 mins.
Job 7 Operation 19 duration 89 mins.
Job 16 Operation 19 duration 257 mins.
Machine 13 is used for the following Operations:
Job 12 Operation 0 duration 219 mins.
Job 2 Operation 1 duration 34 mins.
Job 11 Operation 2 duration 41 mins.
Job 14 Operation 3 duration 219 mins.
Job 13 Operation 5 duration 178 mins.
Job 9 Operation 6 duration 5 mins.
Job 8 Operation 7 duration 2 mins.
Job 0 Operation 8 duration 42 mins.
Job 7 Operation 9 duration 268 mins.
Job 10 Operation 9 duration 136 mins.
Job 15 Operation 11 duration 182 mins.
Job 1 Operation 13 duration 87 mins.
Job 16 Operation 13 duration 211 mins.
Job 6 Operation 14 duration 252 mins.
Job 17 Operation 15 duration 56 mins.
Job 4 Operation 16 duration 149 mins.
Job 5 Operation 17 duration 59 mins.
Job 18 Operation 17 duration 175 mins.
Job 19 Operation 17 duration 264 mins.
Job 3 Operation 18 duration 191 mins.
Machine 14 is used for the following Operations:
Job 15 Operation 0 duration 78 mins.
Job 19 Operation 0 duration 125 mins.
Job 1 Operation 1 duration 147 mins.
Job 16 Operation 1 duration 73 mins.
Job 10 Operation 3 duration 191 mins.
Job 11 Operation 4 duration 112 mins.
Job 7 Operation 5 duration 92 mins.
Job 12 Operation 5 duration 257 mins.
Job 18 Operation 6 duration 134 mins.
Job 3 Operation 7 duration 244 mins.
Job 4 Operation 7 duration 80 mins.
Job 14 Operation 10 duration 60 mins.
Job 8 Operation 11 duration 246 mins.
Job 9 Operation 12 duration 7 mins.
Job 6 Operation 13 duration 174 mins.
Job 0 Operation 14 duration 135 mins.
Job 13 Operation 16 duration 132 mins.
Job 17 Operation 16 duration 205 mins.
Job 2 Operation 18 duration 111 mins.
Job 5 Operation 18 duration 59 mins.
Machine 15 is used for the following Operations:
Job 0 Operation 4 duration 173 mins.
Job 7 Operation 4 duration 20 mins.
Job 10 Operation 4 duration 258 mins.
Job 17 Operation 4 duration 105 mins.
Job 15 Operation 5 duration 148 mins.
Job 13 Operation 6 duration 205 mins.
Job 5 Operation 7 duration 81 mins.
Job 16 Operation 7 duration 91 mins.
Job 1 Operation 8 duration 94 mins.
Job 6 Operation 8 duration 99 mins.
Job 19 Operation 8 duration 263 mins.
Job 14 Operation 9 duration 250 mins.
Job 2 Operation 11 duration 18 mins.
Job 18 Operation 12 duration 264 mins.
Job 11 Operation 14 duration 160 mins.
Job 3 Operation 16 duration 157 mins.
Job 8 Operation 16 duration 113 mins.
Job 9 Operation 18 duration 7 mins.
Job 12 Operation 18 duration 168 mins.
Job 4 Operation 19 duration 194 mins.
Machine 16 is used for the following Operations:
Job 8 Operation 0 duration 138 mins.
Job 13 Operation 0 duration 190 mins.
Job 17 Operation 0 duration 113 mins.
Job 3 Operation 2 duration 79 mins.
Job 7 Operation 2 duration 240 mins.
Job 1 Operation 3 duration 11 mins.
Job 4 Operation 4 duration 12 mins.
Job 18 Operation 4 duration 3 mins.
Job 19 Operation 4 duration 47 mins.
Job 6 Operation 5 duration 175 mins.
Job 12 Operation 8 duration 134 mins.
Job 5 Operation 9 duration 82 mins.
Job 0 Operation 11 duration 28 mins.
Job 10 Operation 11 duration 102 mins.
Job 2 Operation 12 duration 185 mins.
Job 16 Operation 12 duration 162 mins.
Job 15 Operation 13 duration 110 mins.
Job 9 Operation 15 duration 106 mins.
Job 11 Operation 15 duration 3 mins.
Job 14 Operation 19 duration 142 mins.
Machine 17 is used for the following Operations:
Job 14 Operation 0 duration 18 mins.
Job 5 Operation 2 duration 21 mins.
Job 17 Operation 2 duration 43 mins.
Job 18 Operation 2 duration 118 mins.
Job 19 Operation 7 duration 48 mins.
Job 0 Operation 9 duration 164 mins.
Job 4 Operation 9 duration 148 mins.
Job 2 Operation 10 duration 53 mins.
Job 13 Operation 10 duration 243 mins.
Job 8 Operation 13 duration 135 mins.
Job 10 Operation 13 duration 266 mins.
Job 3 Operation 15 duration 197 mins.
Job 7 Operation 15 duration 240 mins.
Job 15 Operation 15 duration 155 mins.
Job 1 Operation 16 duration 241 mins.
Job 11 Operation 16 duration 53 mins.
Job 16 Operation 16 duration 155 mins.
Job 6 Operation 17 duration 243 mins.
Job 9 Operation 17 duration 176 mins.
Job 12 Operation 17 duration 181 mins.
Machine 18 is used for the following Operations:
Job 0 Operation 0 duration 177 mins.
Job 2 Operation 3 duration 217 mins.
Job 5 Operation 3 duration 35 mins.
Job 12 Operation 6 duration 30 mins.
Job 16 Operation 6 duration 174 mins.
Job 13 Operation 7 duration 221 mins.
Job 15 Operation 7 duration 96 mins.
Job 3 Operation 8 duration 270 mins.
Job 1 Operation 10 duration 59 mins.
Job 4 Operation 10 duration 143 mins.
Job 7 Operation 10 duration 158 mins.
Job 11 Operation 10 duration 254 mins.
Job 14 Operation 11 duration 255 mins.
Job 17 Operation 13 duration 256 mins.
Job 9 Operation 14 duration 208 mins.
Job 6 Operation 15 duration 59 mins.
Job 18 Operation 16 duration 23 mins.
Job 8 Operation 18 duration 55 mins.
Job 10 Operation 19 duration 239 mins.
Job 19 Operation 19 duration 27 mins.
Machine 19 is used for the following Operations:
Job 6 Operation 1 duration 35 mins.
Job 7 Operation 1 duration 196 mins.
Job 15 Operation 2 duration 91 mins.
Job 13 Operation 3 duration 105 mins.
Job 14 Operation 4 duration 72 mins.
Job 2 Operation 6 duration 15 mins.
Job 8 Operation 6 duration 261 mins.
Job 9 Operation 7 duration 209 mins.
Job 0 Operation 10 duration 68 mins.
Job 12 Operation 11 duration 16 mins.
Job 4 Operation 12 duration 1 mins.
Job 11 Operation 12 duration 142 mins.
Job 17 Operation 12 duration 201 mins.
Job 19 Operation 13 duration 5 mins.
Job 10 Operation 15 duration 169 mins.
Job 16 Operation 17 duration 81 mins.
Job 1 Operation 18 duration 167 mins.
Job 18 Operation 18 duration 225 mins.
Job 3 Operation 19 duration 194 mins.
Job 5 Operation 19 duration 175 mins.
| Solution:
Job 6 Operation 0 on Machine 0 : 0 + 72 -> 72
Job 7 Operation 0 on Machine 1 : 0 + 227 -> 227
Job 2 Operation 0 on Machine 5 : 0 + 122 -> 122
Job 11 Operation 0 on Machine 6 : 0 + 45 -> 45
Job 10 Operation 0 on Machine 7 : 0 + 197 -> 197
Job 5 Operation 0 on Machine 8 : 0 + 14 -> 14
Job 1 Operation 0 on Machine 9 : 0 + 167 -> 167
Job 4 Operation 0 on Machine 10 : 0 + 230 -> 230
Job 12 Operation 0 on Machine 13 : 0 + 219 -> 219
Job 15 Operation 0 on Machine 14 : 0 + 78 -> 78
Job 13 Operation 0 on Machine 16 : 0 + 190 -> 190
Job 14 Operation 0 on Machine 17 : 0 + 18 -> 18
Job 0 Operation 0 on Machine 18 : 0 + 177 -> 177
Job 14 Operation 1 on Machine 4 : 18 + 268 -> 286
Job 11 Operation 1 on Machine 3 : 45 + 256 -> 301
Job 6 Operation 1 on Machine 19 : 72 + 35 -> 107
Job 15 Operation 1 on Machine 0 : 78 + 223 -> 301
Job 19 Operation 0 on Machine 14 : 78 + 125 -> 203
Job 6 Operation 2 on Machine 12 : 107 + 144 -> 251
Job 0 Operation 1 on Machine 5 : 177 + 124 -> 301
Job 13 Operation 1 on Machine 11 : 190 + 215 -> 405
Job 8 Operation 0 on Machine 16 : 190 + 138 -> 328
Job 1 Operation 1 on Machine 14 : 203 + 147 -> 350
Job 12 Operation 1 on Machine 8 : 219 + 163 -> 382
Job 2 Operation 1 on Machine 13 : 219 + 34 -> 253
Job 3 Operation 0 on Machine 1 : 227 + 7 -> 234
Job 7 Operation 1 on Machine 19 : 227 + 196 -> 423
Job 4 Operation 1 on Machine 9 : 230 + 239 -> 469
Job 19 Operation 1 on Machine 10 : 230 + 237 -> 467
Job 9 Operation 0 on Machine 1 : 234 + 103 -> 337
Job 3 Operation 1 on Machine 6 : 234 + 175 -> 409
Job 6 Operation 3 on Machine 7 : 251 + 253 -> 504
Job 2 Operation 2 on Machine 4 : 286 + 90 -> 376
Job 10 Operation 1 on Machine 5 : 301 + 3 -> 304
Job 11 Operation 2 on Machine 13 : 301 + 41 -> 342
Job 11 Operation 3 on Machine 0 : 342 + 38 -> 380
Job 1 Operation 2 on Machine 4 : 376 + 22 -> 398
Job 2 Operation 3 on Machine 18 : 376 + 217 -> 593
Job 11 Operation 4 on Machine 14 : 380 + 112 -> 492
Job 12 Operation 2 on Machine 0 : 382 + 206 -> 588
Job 14 Operation 2 on Machine 8 : 382 + 135 -> 517
Job 5 Operation 1 on Machine 4 : 398 + 157 -> 555
Job 1 Operation 3 on Machine 16 : 398 + 11 -> 409
Job 13 Operation 2 on Machine 3 : 405 + 210 -> 615
Job 1 Operation 4 on Machine 1 : 409 + 158 -> 567
Job 9 Operation 1 on Machine 6 : 409 + 75 -> 484
Job 7 Operation 2 on Machine 16 : 423 + 240 -> 663
Job 15 Operation 2 on Machine 19 : 423 + 91 -> 514
Job 18 Operation 0 on Machine 9 : 469 + 182 -> 651
Job 6 Operation 4 on Machine 2 : 504 + 131 -> 635
Job 11 Operation 5 on Machine 7 : 504 + 141 -> 645
Job 15 Operation 3 on Machine 6 : 514 + 23 -> 537
Job 14 Operation 3 on Machine 13 : 517 + 219 -> 736
Job 15 Operation 4 on Machine 5 : 537 + 138 -> 675
Job 4 Operation 2 on Machine 6 : 537 + 100 -> 637
Job 19 Operation 2 on Machine 4 : 555 + 102 -> 657
Job 5 Operation 2 on Machine 17 : 555 + 21 -> 576
Job 1 Operation 5 on Machine 11 : 567 + 53 -> 620
Job 12 Operation 3 on Machine 12 : 588 + 250 -> 838
Job 5 Operation 3 on Machine 18 : 593 + 35 -> 628
Job 13 Operation 3 on Machine 19 : 615 + 105 -> 720
Job 1 Operation 6 on Machine 10 : 620 + 35 -> 655
Job 5 Operation 4 on Machine 2 : 635 + 180 -> 815
Job 4 Operation 3 on Machine 8 : 637 + 157 -> 794
Job 16 Operation 0 on Machine 7 : 645 + 152 -> 797
Job 18 Operation 1 on Machine 3 : 651 + 135 -> 786
Job 11 Operation 6 on Machine 9 : 651 + 89 -> 740
Job 1 Operation 7 on Machine 0 : 655 + 156 -> 811
Job 7 Operation 3 on Machine 11 : 663 + 176 -> 839
Job 6 Operation 5 on Machine 16 : 663 + 175 -> 838
Job 15 Operation 5 on Machine 15 : 675 + 148 -> 823
Job 13 Operation 4 on Machine 6 : 720 + 161 -> 881
Job 14 Operation 4 on Machine 19 : 736 + 72 -> 808
Job 11 Operation 7 on Machine 1 : 740 + 18 -> 758
Job 19 Operation 3 on Machine 9 : 740 + 160 -> 900
Job 18 Operation 2 on Machine 17 : 786 + 118 -> 904
Job 14 Operation 5 on Machine 7 : 808 + 44 -> 852
Job 9 Operation 2 on Machine 0 : 811 + 124 -> 935
Job 15 Operation 6 on Machine 4 : 823 + 16 -> 839
Job 12 Operation 4 on Machine 1 : 838 + 86 -> 924
Job 11 Operation 8 on Machine 12 : 838 + 25 -> 863
Job 4 Operation 4 on Machine 16 : 838 + 12 -> 850
Job 6 Operation 6 on Machine 4 : 839 + 2 -> 841
Job 2 Operation 4 on Machine 11 : 839 + 110 -> 949
Job 7 Operation 4 on Machine 15 : 839 + 20 -> 859
Job 15 Operation 7 on Machine 18 : 839 + 96 -> 935
Job 8 Operation 1 on Machine 4 : 841 + 215 -> 1056
Job 17 Operation 0 on Machine 16 : 850 + 113 -> 963
Job 7 Operation 5 on Machine 14 : 859 + 92 -> 951
Job 1 Operation 8 on Machine 15 : 859 + 94 -> 953
Job 11 Operation 9 on Machine 5 : 863 + 23 -> 886
Job 13 Operation 5 on Machine 13 : 881 + 178 -> 1059
Job 6 Operation 7 on Machine 9 : 900 + 64 -> 964
Job 18 Operation 3 on Machine 8 : 904 + 110 -> 1014
Job 9 Operation 3 on Machine 3 : 935 + 77 -> 1012
Job 15 Operation 8 on Machine 12 : 935 + 29 -> 964
Job 11 Operation 10 on Machine 18 : 935 + 254 -> 1189
Job 2 Operation 5 on Machine 0 : 949 + 140 -> 1089
Job 4 Operation 5 on Machine 11 : 949 + 3 -> 952
Job 7 Operation 6 on Machine 10 : 951 + 209 -> 1160
Job 12 Operation 5 on Machine 14 : 951 + 257 -> 1208
Job 4 Operation 6 on Machine 2 : 952 + 113 -> 1065
Job 1 Operation 9 on Machine 5 : 953 + 221 -> 1174
Job 19 Operation 4 on Machine 16 : 963 + 47 -> 1010
Job 0 Operation 2 on Machine 9 : 964 + 135 -> 1099
Job 15 Operation 9 on Machine 11 : 964 + 30 -> 994
Job 6 Operation 8 on Machine 15 : 964 + 99 -> 1063
Job 15 Operation 10 on Machine 1 : 994 + 94 -> 1088
Job 19 Operation 5 on Machine 7 : 1010 + 58 -> 1068
Job 3 Operation 2 on Machine 16 : 1010 + 79 -> 1089
Job 6 Operation 9 on Machine 11 : 1063 + 80 -> 1143
Job 13 Operation 6 on Machine 15 : 1063 + 205 -> 1268
Job 9 Operation 4 on Machine 2 : 1065 + 191 -> 1256
Job 17 Operation 1 on Machine 7 : 1068 + 186 -> 1254
Job 19 Operation 6 on Machine 1 : 1088 + 224 -> 1312
Job 15 Operation 11 on Machine 13 : 1088 + 182 -> 1270
Job 3 Operation 3 on Machine 3 : 1089 + 165 -> 1254
Job 18 Operation 4 on Machine 16 : 1089 + 3 -> 1092
Job 2 Operation 6 on Machine 19 : 1089 + 15 -> 1104
Job 0 Operation 3 on Machine 4 : 1099 + 154 -> 1253
Job 7 Operation 7 on Machine 9 : 1160 + 197 -> 1357
Job 2 Operation 7 on Machine 10 : 1160 + 225 -> 1385
Job 4 Operation 7 on Machine 14 : 1208 + 80 -> 1288
Job 12 Operation 6 on Machine 18 : 1208 + 30 -> 1238
Job 12 Operation 7 on Machine 5 : 1238 + 65 -> 1303
Job 1 Operation 10 on Machine 18 : 1238 + 59 -> 1297
Job 3 Operation 4 on Machine 4 : 1254 + 206 -> 1460
Job 17 Operation 2 on Machine 17 : 1254 + 43 -> 1297
Job 9 Operation 5 on Machine 7 : 1256 + 63 -> 1319
Job 0 Operation 4 on Machine 15 : 1268 + 173 -> 1441
Job 16 Operation 1 on Machine 14 : 1288 + 73 -> 1361
Job 1 Operation 11 on Machine 2 : 1297 + 198 -> 1495
Job 17 Operation 3 on Machine 8 : 1297 + 153 -> 1450
Job 13 Operation 7 on Machine 18 : 1297 + 221 -> 1518
Job 14 Operation 6 on Machine 5 : 1303 + 161 -> 1464
Job 12 Operation 8 on Machine 16 : 1303 + 134 -> 1437
Job 19 Operation 7 on Machine 17 : 1312 + 48 -> 1360
Job 5 Operation 5 on Machine 7 : 1319 + 113 -> 1432
Job 9 Operation 6 on Machine 13 : 1319 + 5 -> 1324
Job 9 Operation 7 on Machine 19 : 1324 + 209 -> 1533
Job 7 Operation 8 on Machine 6 : 1357 + 115 -> 1472
Job 15 Operation 12 on Machine 9 : 1357 + 174 -> 1531
Job 18 Operation 5 on Machine 10 : 1385 + 217 -> 1602
Job 2 Operation 8 on Machine 12 : 1385 + 43 -> 1428
Job 5 Operation 6 on Machine 11 : 1432 + 233 -> 1665
Job 0 Operation 5 on Machine 7 : 1441 + 171 -> 1612
Job 8 Operation 2 on Machine 8 : 1450 + 105 -> 1555
Job 17 Operation 4 on Machine 15 : 1450 + 105 -> 1555
Job 12 Operation 9 on Machine 4 : 1460 + 5 -> 1465
Job 3 Operation 5 on Machine 5 : 1464 + 72 -> 1536
Job 4 Operation 8 on Machine 4 : 1465 + 180 -> 1645
Job 6 Operation 10 on Machine 6 : 1472 + 243 -> 1715
Job 7 Operation 9 on Machine 13 : 1472 + 268 -> 1740
Job 12 Operation 10 on Machine 2 : 1495 + 226 -> 1721
Job 10 Operation 2 on Machine 9 : 1531 + 202 -> 1733
Job 15 Operation 13 on Machine 16 : 1531 + 110 -> 1641
Job 9 Operation 8 on Machine 5 : 1536 + 122 -> 1658
Job 8 Operation 3 on Machine 0 : 1555 + 167 -> 1722
Job 13 Operation 8 on Machine 8 : 1555 + 72 -> 1627
Job 19 Operation 8 on Machine 15 : 1555 + 263 -> 1818
Job 18 Operation 6 on Machine 14 : 1602 + 134 -> 1736
Job 0 Operation 6 on Machine 12 : 1612 + 175 -> 1787
Job 11 Operation 11 on Machine 8 : 1627 + 237 -> 1864
Job 15 Operation 14 on Machine 10 : 1641 + 232 -> 1873
Job 16 Operation 2 on Machine 4 : 1645 + 115 -> 1760
Job 4 Operation 9 on Machine 17 : 1645 + 148 -> 1793
Job 3 Operation 6 on Machine 11 : 1665 + 262 -> 1927
Job 6 Operation 11 on Machine 5 : 1715 + 261 -> 1976
Job 1 Operation 12 on Machine 6 : 1715 + 262 -> 1977
Job 12 Operation 11 on Machine 19 : 1721 + 16 -> 1737
Job 8 Operation 4 on Machine 3 : 1722 + 30 -> 1752
Job 13 Operation 9 on Machine 9 : 1733 + 35 -> 1768
Job 18 Operation 7 on Machine 2 : 1736 + 203 -> 1939
Job 10 Operation 3 on Machine 14 : 1736 + 191 -> 1927
Job 7 Operation 10 on Machine 18 : 1740 + 158 -> 1898
Job 9 Operation 9 on Machine 4 : 1760 + 45 -> 1805
Job 16 Operation 3 on Machine 9 : 1768 + 170 -> 1938
Job 17 Operation 5 on Machine 12 : 1787 + 243 -> 2030
Job 13 Operation 10 on Machine 17 : 1793 + 243 -> 2036
Job 19 Operation 9 on Machine 0 : 1818 + 211 -> 2029
Job 5 Operation 7 on Machine 15 : 1818 + 81 -> 1899
Job 11 Operation 12 on Machine 19 : 1864 + 142 -> 2006
Job 12 Operation 12 on Machine 10 : 1873 + 77 -> 1950
Job 7 Operation 11 on Machine 7 : 1898 + 238 -> 2136
Job 4 Operation 10 on Machine 18 : 1898 + 143 -> 2041
Job 3 Operation 7 on Machine 14 : 1927 + 244 -> 2171
Job 10 Operation 4 on Machine 15 : 1927 + 258 -> 2185
Job 8 Operation 5 on Machine 9 : 1938 + 195 -> 2133
Job 0 Operation 7 on Machine 2 : 1939 + 169 -> 2108
Job 12 Operation 13 on Machine 11 : 1950 + 216 -> 2166
Job 16 Operation 4 on Machine 5 : 1976 + 128 -> 2104
Job 6 Operation 12 on Machine 10 : 1976 + 206 -> 2182
Job 5 Operation 8 on Machine 6 : 1977 + 132 -> 2109
Job 1 Operation 13 on Machine 13 : 1977 + 87 -> 2064
Job 17 Operation 6 on Machine 0 : 2030 + 220 -> 2250
Job 15 Operation 15 on Machine 17 : 2036 + 155 -> 2191
Job 4 Operation 11 on Machine 12 : 2041 + 74 -> 2115
Job 1 Operation 14 on Machine 3 : 2064 + 157 -> 2221
Job 16 Operation 5 on Machine 8 : 2104 + 116 -> 2220
Job 11 Operation 13 on Machine 2 : 2108 + 22 -> 2130
Job 0 Operation 8 on Machine 13 : 2108 + 42 -> 2150
Job 19 Operation 10 on Machine 12 : 2115 + 217 -> 2332
Job 4 Operation 12 on Machine 19 : 2115 + 1 -> 2116
Job 4 Operation 13 on Machine 5 : 2116 + 223 -> 2339
Job 14 Operation 7 on Machine 9 : 2133 + 128 -> 2261
Job 8 Operation 6 on Machine 19 : 2133 + 261 -> 2394
Job 7 Operation 12 on Machine 2 : 2136 + 266 -> 2402
Job 12 Operation 14 on Machine 7 : 2166 + 189 -> 2355
Job 18 Operation 8 on Machine 11 : 2166 + 222 -> 2388
Job 13 Operation 11 on Machine 10 : 2182 + 36 -> 2218
Job 6 Operation 13 on Machine 14 : 2182 + 174 -> 2356
Job 10 Operation 5 on Machine 4 : 2185 + 172 -> 2357
Job 11 Operation 14 on Machine 15 : 2185 + 160 -> 2345
Job 0 Operation 9 on Machine 17 : 2191 + 164 -> 2355
Job 16 Operation 6 on Machine 18 : 2220 + 174 -> 2394
Job 1 Operation 15 on Machine 8 : 2221 + 40 -> 2261
Job 14 Operation 8 on Machine 3 : 2261 + 174 -> 2435
Job 9 Operation 10 on Machine 9 : 2261 + 186 -> 2447
Job 11 Operation 15 on Machine 16 : 2345 + 3 -> 2348
Job 5 Operation 9 on Machine 16 : 2348 + 82 -> 2430
Job 11 Operation 16 on Machine 17 : 2355 + 53 -> 2408
Job 10 Operation 6 on Machine 12 : 2357 + 207 -> 2564
Job 18 Operation 9 on Machine 1 : 2388 + 232 -> 2620
Job 19 Operation 11 on Machine 11 : 2388 + 31 -> 2419
Job 8 Operation 7 on Machine 13 : 2394 + 2 -> 2396
Job 16 Operation 7 on Machine 15 : 2394 + 91 -> 2485
Job 3 Operation 8 on Machine 18 : 2394 + 270 -> 2664
Job 0 Operation 10 on Machine 19 : 2394 + 68 -> 2462
Job 8 Operation 8 on Machine 6 : 2396 + 180 -> 2576
Job 6 Operation 14 on Machine 13 : 2396 + 252 -> 2648
Job 7 Operation 13 on Machine 0 : 2402 + 253 -> 2655
Job 17 Operation 7 on Machine 2 : 2402 + 57 -> 2459
Job 11 Operation 17 on Machine 4 : 2408 + 182 -> 2590
Job 1 Operation 16 on Machine 17 : 2408 + 241 -> 2649
Job 12 Operation 15 on Machine 3 : 2435 + 113 -> 2548
Job 2 Operation 9 on Machine 2 : 2459 + 72 -> 2531
Job 17 Operation 8 on Machine 9 : 2459 + 87 -> 2546
Job 0 Operation 11 on Machine 16 : 2462 + 28 -> 2490
Job 16 Operation 8 on Machine 10 : 2485 + 185 -> 2670
Job 14 Operation 9 on Machine 15 : 2485 + 250 -> 2735
Job 10 Operation 7 on Machine 11 : 2564 + 124 -> 2688
Job 8 Operation 9 on Machine 2 : 2576 + 44 -> 2620
Job 19 Operation 12 on Machine 6 : 2576 + 56 -> 2632
Job 13 Operation 12 on Machine 2 : 2620 + 108 -> 2728
Job 8 Operation 10 on Machine 7 : 2620 + 85 -> 2705
Job 19 Operation 13 on Machine 19 : 2632 + 5 -> 2637
Job 19 Operation 14 on Machine 3 : 2637 + 15 -> 2652
Job 1 Operation 17 on Machine 12 : 2649 + 82 -> 2731
Job 2 Operation 10 on Machine 17 : 2649 + 53 -> 2702
Job 19 Operation 15 on Machine 5 : 2652 + 213 -> 2865
Job 7 Operation 14 on Machine 4 : 2655 + 61 -> 2716
Job 3 Operation 9 on Machine 9 : 2664 + 68 -> 2732
Job 6 Operation 15 on Machine 18 : 2664 + 59 -> 2723
Job 16 Operation 9 on Machine 6 : 2670 + 254 -> 2924
Job 17 Operation 9 on Machine 10 : 2670 + 106 -> 2776
Job 10 Operation 8 on Machine 3 : 2688 + 202 -> 2890
Job 7 Operation 15 on Machine 17 : 2716 + 240 -> 2956
Job 9 Operation 11 on Machine 12 : 2731 + 151 -> 2882
Job 3 Operation 10 on Machine 7 : 2732 + 267 -> 2999
Job 5 Operation 10 on Machine 9 : 2732 + 204 -> 2936
Job 14 Operation 10 on Machine 14 : 2735 + 60 -> 2795
Job 2 Operation 11 on Machine 15 : 2735 + 18 -> 2753
Job 17 Operation 10 on Machine 1 : 2776 + 14 -> 2790
Job 11 Operation 18 on Machine 10 : 2776 + 266 -> 3042
Job 4 Operation 14 on Machine 1 : 2790 + 74 -> 2864
Job 8 Operation 11 on Machine 14 : 2795 + 246 -> 3041
Job 14 Operation 11 on Machine 18 : 2795 + 255 -> 3050
Job 4 Operation 15 on Machine 0 : 2864 + 131 -> 2995
Job 18 Operation 10 on Machine 5 : 2865 + 135 -> 3000
Job 19 Operation 16 on Machine 8 : 2865 + 181 -> 3046
Job 13 Operation 13 on Machine 12 : 2882 + 133 -> 3015
Job 6 Operation 16 on Machine 3 : 2890 + 52 -> 2942
Job 10 Operation 9 on Machine 13 : 2890 + 136 -> 3026
Job 12 Operation 16 on Machine 9 : 2936 + 173 -> 3109
Job 16 Operation 10 on Machine 3 : 2942 + 149 -> 3091
Job 6 Operation 17 on Machine 17 : 2956 + 243 -> 3199
Job 5 Operation 11 on Machine 5 : 3000 + 15 -> 3015
Job 18 Operation 11 on Machine 6 : 3000 + 184 -> 3184
Job 3 Operation 11 on Machine 12 : 3015 + 210 -> 3225
Job 10 Operation 10 on Machine 1 : 3026 + 13 -> 3039
Job 4 Operation 16 on Machine 13 : 3026 + 149 -> 3175
Job 10 Operation 11 on Machine 16 : 3039 + 102 -> 3141
Job 8 Operation 12 on Machine 1 : 3041 + 232 -> 3273
Job 9 Operation 12 on Machine 14 : 3041 + 7 -> 3048
Job 5 Operation 12 on Machine 10 : 3042 + 87 -> 3129
Job 14 Operation 12 on Machine 2 : 3050 + 269 -> 3319
Job 17 Operation 11 on Machine 3 : 3091 + 230 -> 3321
Job 16 Operation 11 on Machine 11 : 3091 + 17 -> 3108
Job 9 Operation 13 on Machine 10 : 3129 + 152 -> 3281
Job 10 Operation 12 on Machine 8 : 3141 + 262 -> 3403
Job 16 Operation 12 on Machine 16 : 3141 + 162 -> 3303
Job 0 Operation 12 on Machine 6 : 3184 + 153 -> 3337
Job 18 Operation 12 on Machine 15 : 3184 + 264 -> 3448
Job 3 Operation 12 on Machine 0 : 3225 + 116 -> 3341
Job 5 Operation 13 on Machine 12 : 3225 + 269 -> 3494
Job 8 Operation 13 on Machine 17 : 3273 + 135 -> 3408
Job 9 Operation 14 on Machine 18 : 3281 + 208 -> 3489
Job 16 Operation 13 on Machine 13 : 3303 + 211 -> 3514
Job 2 Operation 12 on Machine 16 : 3303 + 185 -> 3488
Job 7 Operation 16 on Machine 3 : 3321 + 128 -> 3449
Job 17 Operation 12 on Machine 19 : 3321 + 201 -> 3522
Job 14 Operation 13 on Machine 6 : 3337 + 232 -> 3569
Job 0 Operation 13 on Machine 11 : 3337 + 266 -> 3603
Job 13 Operation 14 on Machine 0 : 3341 + 186 -> 3527
Job 3 Operation 13 on Machine 10 : 3341 + 166 -> 3507
Job 10 Operation 13 on Machine 17 : 3408 + 266 -> 3674
Job 18 Operation 13 on Machine 7 : 3448 + 165 -> 3613
Job 7 Operation 17 on Machine 8 : 3449 + 215 -> 3664
Job 9 Operation 15 on Machine 16 : 3489 + 106 -> 3595
Job 8 Operation 14 on Machine 10 : 3507 + 225 -> 3732
Job 16 Operation 14 on Machine 2 : 3514 + 133 -> 3647
Job 19 Operation 17 on Machine 13 : 3514 + 264 -> 3778
Job 17 Operation 13 on Machine 18 : 3522 + 256 -> 3778
Job 1 Operation 18 on Machine 19 : 3522 + 167 -> 3689
Job 5 Operation 14 on Machine 0 : 3527 + 30 -> 3557
Job 5 Operation 15 on Machine 3 : 3557 + 135 -> 3692
Job 14 Operation 14 on Machine 0 : 3569 + 176 -> 3745
Job 2 Operation 13 on Machine 6 : 3569 + 103 -> 3672
Job 0 Operation 14 on Machine 14 : 3603 + 135 -> 3738
Job 18 Operation 14 on Machine 4 : 3613 + 59 -> 3672
Job 16 Operation 15 on Machine 1 : 3647 + 164 -> 3811
Job 3 Operation 14 on Machine 2 : 3647 + 6 -> 3653
Job 9 Operation 16 on Machine 8 : 3664 + 249 -> 3913
Job 2 Operation 14 on Machine 9 : 3672 + 34 -> 3706
Job 10 Operation 14 on Machine 2 : 3674 + 70 -> 3744
Job 3 Operation 15 on Machine 17 : 3674 + 197 -> 3871
Job 2 Operation 15 on Machine 7 : 3706 + 157 -> 3863
Job 8 Operation 15 on Machine 12 : 3732 + 21 -> 3753
Job 10 Operation 15 on Machine 19 : 3744 + 169 -> 3913
Job 14 Operation 15 on Machine 11 : 3745 + 202 -> 3947
Job 18 Operation 15 on Machine 12 : 3753 + 265 -> 4018
Job 8 Operation 16 on Machine 15 : 3753 + 113 -> 3866
Job 19 Operation 18 on Machine 2 : 3778 + 201 -> 3979
Job 17 Operation 14 on Machine 4 : 3778 + 203 -> 3981
Job 5 Operation 16 on Machine 1 : 3811 + 20 -> 3831
Job 5 Operation 17 on Machine 13 : 3831 + 59 -> 3890
Job 13 Operation 15 on Machine 7 : 3863 + 220 -> 4083
Job 8 Operation 17 on Machine 5 : 3866 + 84 -> 3950
Job 3 Operation 16 on Machine 15 : 3871 + 157 -> 4028
Job 12 Operation 17 on Machine 17 : 3871 + 181 -> 4052
Job 5 Operation 18 on Machine 14 : 3890 + 59 -> 3949
Job 10 Operation 16 on Machine 0 : 3913 + 185 -> 4098
Job 2 Operation 16 on Machine 8 : 3913 + 176 -> 4089
Job 14 Operation 16 on Machine 1 : 3947 + 252 -> 4199
Job 11 Operation 19 on Machine 11 : 3947 + 218 -> 4165
Job 5 Operation 19 on Machine 19 : 3949 + 175 -> 4124
Job 7 Operation 18 on Machine 5 : 3950 + 107 -> 4057
Job 8 Operation 18 on Machine 18 : 3950 + 55 -> 4005
Job 17 Operation 15 on Machine 13 : 3981 + 56 -> 4037
Job 18 Operation 16 on Machine 18 : 4018 + 23 -> 4041
Job 17 Operation 16 on Machine 14 : 4037 + 205 -> 4242
Job 18 Operation 17 on Machine 13 : 4041 + 175 -> 4216
Job 19 Operation 19 on Machine 18 : 4041 + 27 -> 4068
Job 12 Operation 18 on Machine 15 : 4052 + 168 -> 4220
Job 16 Operation 16 on Machine 17 : 4052 + 155 -> 4207
Job 7 Operation 19 on Machine 12 : 4057 + 89 -> 4146
Job 4 Operation 17 on Machine 7 : 4083 + 27 -> 4110
Job 3 Operation 17 on Machine 8 : 4089 + 214 -> 4303
Job 0 Operation 15 on Machine 0 : 4098 + 227 -> 4325
Job 10 Operation 17 on Machine 10 : 4098 + 233 -> 4331
Job 4 Operation 18 on Machine 3 : 4110 + 105 -> 4215
Job 1 Operation 19 on Machine 7 : 4110 + 265 -> 4375
Job 8 Operation 19 on Machine 11 : 4165 + 236 -> 4401
Job 14 Operation 17 on Machine 12 : 4199 + 264 -> 4463
Job 9 Operation 17 on Machine 17 : 4207 + 176 -> 4383
Job 16 Operation 17 on Machine 19 : 4207 + 81 -> 4288
Job 15 Operation 16 on Machine 3 : 4215 + 171 -> 4386
Job 12 Operation 19 on Machine 6 : 4220 + 110 -> 4330
Job 17 Operation 17 on Machine 5 : 4242 + 170 -> 4412
Job 13 Operation 16 on Machine 14 : 4242 + 132 -> 4374
Job 18 Operation 18 on Machine 19 : 4288 + 225 -> 4513
Job 6 Operation 18 on Machine 8 : 4303 + 237 -> 4540
Job 3 Operation 18 on Machine 13 : 4303 + 191 -> 4494
Job 16 Operation 18 on Machine 0 : 4325 + 156 -> 4481
Job 0 Operation 16 on Machine 1 : 4325 + 74 -> 4399
Job 10 Operation 18 on Machine 6 : 4331 + 133 -> 4464
Job 13 Operation 17 on Machine 4 : 4374 + 35 -> 4409
Job 9 Operation 18 on Machine 15 : 4383 + 7 -> 4390
Job 15 Operation 17 on Machine 2 : 4386 + 187 -> 4573
Job 4 Operation 19 on Machine 15 : 4390 + 194 -> 4584
Job 2 Operation 17 on Machine 1 : 4399 + 88 -> 4487
Job 0 Operation 17 on Machine 10 : 4399 + 27 -> 4426
Job 13 Operation 18 on Machine 5 : 4412 + 103 -> 4515
Job 17 Operation 18 on Machine 11 : 4412 + 105 -> 4517
Job 0 Operation 18 on Machine 3 : 4426 + 125 -> 4551
Job 14 Operation 18 on Machine 10 : 4463 + 3 -> 4466
Job 10 Operation 19 on Machine 18 : 4464 + 239 -> 4703
Job 14 Operation 19 on Machine 16 : 4466 + 142 -> 4608
Job 16 Operation 19 on Machine 12 : 4481 + 257 -> 4738
Job 2 Operation 18 on Machine 14 : 4487 + 111 -> 4598
Job 18 Operation 19 on Machine 0 : 4513 + 193 -> 4706
Job 3 Operation 19 on Machine 19 : 4513 + 194 -> 4707
Job 13 Operation 19 on Machine 1 : 4515 + 29 -> 4544
Job 17 Operation 19 on Machine 6 : 4517 + 176 -> 4693
Job 9 Operation 19 on Machine 11 : 4517 + 223 -> 4740
Job 6 Operation 19 on Machine 1 : 4544 + 62 -> 4606
Job 15 Operation 18 on Machine 7 : 4573 + 38 -> 4611
Job 2 Operation 19 on Machine 3 : 4598 + 84 -> 4682
Job 15 Operation 19 on Machine 8 : 4611 + 10 -> 4621
Job 0 Operation 19 on Machine 8 : 4621 + 3 -> 4624
Makespan: 4740.0, as it is the maximum end completion time of Operation 19 |
10 | 2 | Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 352 mins.
Operation 1 on Machine 0 duration 1 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 344 mins.
Operation 1 on Machine 1 duration 25 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 115 mins.
Operation 1 on Machine 0 duration 101 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 322 mins.
Operation 1 on Machine 0 duration 32 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 259 mins.
Operation 1 on Machine 1 duration 31 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 176 mins.
Operation 1 on Machine 0 duration 100 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 187 mins.
Operation 1 on Machine 0 duration 281 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 104 mins.
Operation 1 on Machine 0 duration 184 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 179 mins.
Operation 1 on Machine 1 duration 135 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 234 mins.
Operation 1 on Machine 0 duration 344 mins.
| Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 344 mins.
Job 4 Operation 0 duration 259 mins.
Job 8 Operation 0 duration 179 mins.
Job 0 Operation 1 duration 1 mins.
Job 2 Operation 1 duration 101 mins.
Job 3 Operation 1 duration 32 mins.
Job 5 Operation 1 duration 100 mins.
Job 6 Operation 1 duration 281 mins.
Job 7 Operation 1 duration 184 mins.
Job 9 Operation 1 duration 344 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 352 mins.
Job 2 Operation 0 duration 115 mins.
Job 3 Operation 0 duration 322 mins.
Job 5 Operation 0 duration 176 mins.
Job 6 Operation 0 duration 187 mins.
Job 7 Operation 0 duration 104 mins.
Job 9 Operation 0 duration 234 mins.
Job 1 Operation 1 duration 25 mins.
Job 4 Operation 1 duration 31 mins.
Job 8 Operation 1 duration 135 mins.
| Solution:
Job 8 Operation 0 on Machine 0 : 0 + 179 -> 179
Job 7 Operation 0 on Machine 1 : 0 + 104 -> 104
Job 2 Operation 0 on Machine 1 : 104 + 115 -> 219
Job 7 Operation 1 on Machine 0 : 179 + 184 -> 363
Job 8 Operation 1 on Machine 1 : 219 + 135 -> 354
Job 5 Operation 0 on Machine 1 : 354 + 176 -> 530
Job 2 Operation 1 on Machine 0 : 363 + 101 -> 464
Job 4 Operation 0 on Machine 0 : 464 + 259 -> 723
Job 6 Operation 0 on Machine 1 : 530 + 187 -> 717
Job 9 Operation 0 on Machine 1 : 717 + 234 -> 951
Job 5 Operation 1 on Machine 0 : 723 + 100 -> 823
Job 6 Operation 1 on Machine 0 : 823 + 281 -> 1104
Job 4 Operation 1 on Machine 1 : 951 + 31 -> 982
Job 3 Operation 0 on Machine 1 : 982 + 322 -> 1304
Job 1 Operation 0 on Machine 0 : 1104 + 344 -> 1448
Job 0 Operation 0 on Machine 1 : 1304 + 352 -> 1656
Job 3 Operation 1 on Machine 0 : 1448 + 32 -> 1480
Job 9 Operation 1 on Machine 0 : 1480 + 344 -> 1824
Job 1 Operation 1 on Machine 1 : 1656 + 25 -> 1681
Job 0 Operation 1 on Machine 0 : 1824 + 1 -> 1825
Makespan: 1825.0, as it is the maximum end completion time of Operation 1 |
8 | 7 | Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 193 mins.
Operation 1 on Machine 4 duration 120 mins.
Operation 2 on Machine 2 duration 48 mins.
Operation 3 on Machine 5 duration 165 mins.
Operation 4 on Machine 3 duration 166 mins.
Operation 5 on Machine 0 duration 61 mins.
Operation 6 on Machine 1 duration 54 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 48 mins.
Operation 1 on Machine 0 duration 81 mins.
Operation 2 on Machine 5 duration 162 mins.
Operation 3 on Machine 1 duration 24 mins.
Operation 4 on Machine 2 duration 77 mins.
Operation 5 on Machine 3 duration 79 mins.
Operation 6 on Machine 4 duration 20 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 220 mins.
Operation 1 on Machine 0 duration 213 mins.
Operation 2 on Machine 4 duration 26 mins.
Operation 3 on Machine 6 duration 34 mins.
Operation 4 on Machine 1 duration 208 mins.
Operation 5 on Machine 2 duration 32 mins.
Operation 6 on Machine 5 duration 33 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 136 mins.
Operation 1 on Machine 1 duration 241 mins.
Operation 2 on Machine 2 duration 96 mins.
Operation 3 on Machine 4 duration 227 mins.
Operation 4 on Machine 3 duration 241 mins.
Operation 5 on Machine 6 duration 174 mins.
Operation 6 on Machine 5 duration 117 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 249 mins.
Operation 1 on Machine 2 duration 180 mins.
Operation 2 on Machine 1 duration 154 mins.
Operation 3 on Machine 0 duration 163 mins.
Operation 4 on Machine 4 duration 91 mins.
Operation 5 on Machine 6 duration 64 mins.
Operation 6 on Machine 5 duration 246 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 83 mins.
Operation 1 on Machine 1 duration 2 mins.
Operation 2 on Machine 0 duration 118 mins.
Operation 3 on Machine 4 duration 222 mins.
Operation 4 on Machine 2 duration 216 mins.
Operation 5 on Machine 6 duration 196 mins.
Operation 6 on Machine 5 duration 208 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 208 mins.
Operation 1 on Machine 6 duration 15 mins.
Operation 2 on Machine 4 duration 238 mins.
Operation 3 on Machine 0 duration 152 mins.
Operation 4 on Machine 1 duration 154 mins.
Operation 5 on Machine 3 duration 189 mins.
Operation 6 on Machine 5 duration 98 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 7 mins.
Operation 1 on Machine 5 duration 164 mins.
Operation 2 on Machine 3 duration 239 mins.
Operation 3 on Machine 2 duration 144 mins.
Operation 4 on Machine 0 duration 7 mins.
Operation 5 on Machine 6 duration 187 mins.
Operation 6 on Machine 1 duration 212 mins.
| Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 136 mins.
Job 1 Operation 1 duration 81 mins.
Job 2 Operation 1 duration 213 mins.
Job 5 Operation 2 duration 118 mins.
Job 4 Operation 3 duration 163 mins.
Job 6 Operation 3 duration 152 mins.
Job 7 Operation 4 duration 7 mins.
Job 0 Operation 5 duration 61 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 1 duration 241 mins.
Job 5 Operation 1 duration 2 mins.
Job 4 Operation 2 duration 154 mins.
Job 1 Operation 3 duration 24 mins.
Job 2 Operation 4 duration 208 mins.
Job 6 Operation 4 duration 154 mins.
Job 0 Operation 6 duration 54 mins.
Job 7 Operation 6 duration 212 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 0 duration 208 mins.
Job 4 Operation 1 duration 180 mins.
Job 0 Operation 2 duration 48 mins.
Job 3 Operation 2 duration 96 mins.
Job 7 Operation 3 duration 144 mins.
Job 1 Operation 4 duration 77 mins.
Job 5 Operation 4 duration 216 mins.
Job 2 Operation 5 duration 32 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 220 mins.
Job 4 Operation 0 duration 249 mins.
Job 5 Operation 0 duration 83 mins.
Job 7 Operation 2 duration 239 mins.
Job 0 Operation 4 duration 166 mins.
Job 3 Operation 4 duration 241 mins.
Job 1 Operation 5 duration 79 mins.
Job 6 Operation 5 duration 189 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 0 duration 7 mins.
Job 0 Operation 1 duration 120 mins.
Job 2 Operation 2 duration 26 mins.
Job 6 Operation 2 duration 238 mins.
Job 3 Operation 3 duration 227 mins.
Job 5 Operation 3 duration 222 mins.
Job 4 Operation 4 duration 91 mins.
Job 1 Operation 6 duration 20 mins.
Machine 5 is used for the following Operations:
Job 7 Operation 1 duration 164 mins.
Job 1 Operation 2 duration 162 mins.
Job 0 Operation 3 duration 165 mins.
Job 2 Operation 6 duration 33 mins.
Job 3 Operation 6 duration 117 mins.
Job 4 Operation 6 duration 246 mins.
Job 5 Operation 6 duration 208 mins.
Job 6 Operation 6 duration 98 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 193 mins.
Job 1 Operation 0 duration 48 mins.
Job 6 Operation 1 duration 15 mins.
Job 2 Operation 3 duration 34 mins.
Job 3 Operation 5 duration 174 mins.
Job 4 Operation 5 duration 64 mins.
Job 5 Operation 5 duration 196 mins.
Job 7 Operation 5 duration 187 mins.
| Solution:
Job 3 Operation 0 on Machine 0 : 0 + 136 -> 136
Job 6 Operation 0 on Machine 2 : 0 + 208 -> 208
Job 4 Operation 0 on Machine 3 : 0 + 249 -> 249
Job 7 Operation 0 on Machine 4 : 0 + 7 -> 7
Job 0 Operation 0 on Machine 6 : 0 + 193 -> 193
Job 7 Operation 1 on Machine 5 : 7 + 164 -> 171
Job 3 Operation 1 on Machine 1 : 136 + 241 -> 377
Job 6 Operation 1 on Machine 6 : 208 + 15 -> 223
Job 6 Operation 2 on Machine 4 : 223 + 238 -> 461
Job 1 Operation 0 on Machine 6 : 223 + 48 -> 271
Job 4 Operation 1 on Machine 2 : 249 + 180 -> 429
Job 5 Operation 0 on Machine 3 : 249 + 83 -> 332
Job 1 Operation 1 on Machine 0 : 271 + 81 -> 352
Job 7 Operation 2 on Machine 3 : 332 + 239 -> 571
Job 1 Operation 2 on Machine 5 : 352 + 162 -> 514
Job 5 Operation 1 on Machine 1 : 377 + 2 -> 379
Job 5 Operation 2 on Machine 0 : 379 + 118 -> 497
Job 4 Operation 2 on Machine 1 : 429 + 154 -> 583
Job 3 Operation 2 on Machine 2 : 429 + 96 -> 525
Job 0 Operation 1 on Machine 4 : 461 + 120 -> 581
Job 6 Operation 3 on Machine 0 : 497 + 152 -> 649
Job 2 Operation 0 on Machine 3 : 571 + 220 -> 791
Job 0 Operation 2 on Machine 2 : 581 + 48 -> 629
Job 5 Operation 3 on Machine 4 : 581 + 222 -> 803
Job 7 Operation 3 on Machine 2 : 629 + 144 -> 773
Job 0 Operation 3 on Machine 5 : 629 + 165 -> 794
Job 4 Operation 3 on Machine 0 : 649 + 163 -> 812
Job 6 Operation 4 on Machine 1 : 649 + 154 -> 803
Job 1 Operation 3 on Machine 1 : 803 + 24 -> 827
Job 5 Operation 4 on Machine 2 : 803 + 216 -> 1019
Job 6 Operation 5 on Machine 3 : 803 + 189 -> 992
Job 7 Operation 4 on Machine 0 : 812 + 7 -> 819
Job 4 Operation 4 on Machine 4 : 812 + 91 -> 903
Job 2 Operation 1 on Machine 0 : 819 + 213 -> 1032
Job 7 Operation 5 on Machine 6 : 819 + 187 -> 1006
Job 3 Operation 3 on Machine 4 : 903 + 227 -> 1130
Job 6 Operation 6 on Machine 5 : 992 + 98 -> 1090
Job 7 Operation 6 on Machine 1 : 1006 + 212 -> 1218
Job 4 Operation 5 on Machine 6 : 1006 + 64 -> 1070
Job 1 Operation 4 on Machine 2 : 1019 + 77 -> 1096
Job 5 Operation 5 on Machine 6 : 1070 + 196 -> 1266
Job 4 Operation 6 on Machine 5 : 1090 + 246 -> 1336
Job 3 Operation 4 on Machine 3 : 1130 + 241 -> 1371
Job 2 Operation 2 on Machine 4 : 1130 + 26 -> 1156
Job 2 Operation 3 on Machine 6 : 1266 + 34 -> 1300
Job 2 Operation 4 on Machine 1 : 1300 + 208 -> 1508
Job 5 Operation 6 on Machine 5 : 1336 + 208 -> 1544
Job 0 Operation 4 on Machine 3 : 1371 + 166 -> 1537
Job 3 Operation 5 on Machine 6 : 1371 + 174 -> 1545
Job 2 Operation 5 on Machine 2 : 1508 + 32 -> 1540
Job 0 Operation 5 on Machine 0 : 1537 + 61 -> 1598
Job 1 Operation 5 on Machine 3 : 1537 + 79 -> 1616
Job 2 Operation 6 on Machine 5 : 1544 + 33 -> 1577
Job 3 Operation 6 on Machine 5 : 1577 + 117 -> 1694
Job 0 Operation 6 on Machine 1 : 1598 + 54 -> 1652
Job 1 Operation 6 on Machine 4 : 1616 + 20 -> 1636
Makespan: 1694.0, as it is the maximum end completion time of Operation 6 |
6 | 2 | Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 140 mins.
Operation 1 on Machine 1 duration 156 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 279 mins.
Operation 1 on Machine 0 duration 116 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 226 mins.
Operation 1 on Machine 1 duration 252 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 178 mins.
Operation 1 on Machine 0 duration 77 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 269 mins.
Operation 1 on Machine 0 duration 134 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 301 mins.
Operation 1 on Machine 0 duration 65 mins.
| Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 140 mins.
Job 2 Operation 0 duration 226 mins.
Job 1 Operation 1 duration 116 mins.
Job 3 Operation 1 duration 77 mins.
Job 4 Operation 1 duration 134 mins.
Job 5 Operation 1 duration 65 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 279 mins.
Job 3 Operation 0 duration 178 mins.
Job 4 Operation 0 duration 269 mins.
Job 5 Operation 0 duration 301 mins.
Job 0 Operation 1 duration 156 mins.
Job 2 Operation 1 duration 252 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 140 -> 140
Job 1 Operation 0 on Machine 1 : 0 + 279 -> 279
Job 1 Operation 1 on Machine 0 : 279 + 116 -> 395
Job 4 Operation 0 on Machine 1 : 279 + 269 -> 548
Job 4 Operation 1 on Machine 0 : 548 + 134 -> 682
Job 0 Operation 1 on Machine 1 : 548 + 156 -> 704
Job 2 Operation 0 on Machine 0 : 682 + 226 -> 908
Job 3 Operation 0 on Machine 1 : 704 + 178 -> 882
Job 5 Operation 0 on Machine 1 : 882 + 301 -> 1183
Job 3 Operation 1 on Machine 0 : 908 + 77 -> 985
Job 5 Operation 1 on Machine 0 : 1183 + 65 -> 1248
Job 2 Operation 1 on Machine 1 : 1183 + 252 -> 1435
Makespan: 1435.0, as it is the maximum end completion time of Operation 1 |
6 | 6 | Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 191 mins.
Operation 1 on Machine 0 duration 58 mins.
Operation 2 on Machine 3 duration 200 mins.
Operation 3 on Machine 1 duration 154 mins.
Operation 4 on Machine 2 duration 173 mins.
Operation 5 on Machine 4 duration 191 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 255 mins.
Operation 1 on Machine 5 duration 88 mins.
Operation 2 on Machine 3 duration 201 mins.
Operation 3 on Machine 2 duration 233 mins.
Operation 4 on Machine 0 duration 99 mins.
Operation 5 on Machine 1 duration 135 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 1 mins.
Operation 1 on Machine 3 duration 205 mins.
Operation 2 on Machine 1 duration 199 mins.
Operation 3 on Machine 0 duration 193 mins.
Operation 4 on Machine 5 duration 110 mins.
Operation 5 on Machine 2 duration 33 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 139 mins.
Operation 1 on Machine 2 duration 226 mins.
Operation 2 on Machine 3 duration 57 mins.
Operation 3 on Machine 0 duration 212 mins.
Operation 4 on Machine 4 duration 40 mins.
Operation 5 on Machine 1 duration 203 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 265 mins.
Operation 1 on Machine 4 duration 75 mins.
Operation 2 on Machine 3 duration 216 mins.
Operation 3 on Machine 1 duration 112 mins.
Operation 4 on Machine 5 duration 1 mins.
Operation 5 on Machine 2 duration 55 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 258 mins.
Operation 1 on Machine 5 duration 35 mins.
Operation 2 on Machine 1 duration 252 mins.
Operation 3 on Machine 2 duration 199 mins.
Operation 4 on Machine 0 duration 111 mins.
Operation 5 on Machine 4 duration 175 mins.
| Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 265 mins.
Job 0 Operation 1 duration 58 mins.
Job 2 Operation 3 duration 193 mins.
Job 3 Operation 3 duration 212 mins.
Job 1 Operation 4 duration 99 mins.
Job 5 Operation 4 duration 111 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 2 duration 199 mins.
Job 5 Operation 2 duration 252 mins.
Job 0 Operation 3 duration 154 mins.
Job 4 Operation 3 duration 112 mins.
Job 1 Operation 5 duration 135 mins.
Job 3 Operation 5 duration 203 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 226 mins.
Job 1 Operation 3 duration 233 mins.
Job 5 Operation 3 duration 199 mins.
Job 0 Operation 4 duration 173 mins.
Job 2 Operation 5 duration 33 mins.
Job 4 Operation 5 duration 55 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 258 mins.
Job 2 Operation 1 duration 205 mins.
Job 0 Operation 2 duration 200 mins.
Job 1 Operation 2 duration 201 mins.
Job 3 Operation 2 duration 57 mins.
Job 4 Operation 2 duration 216 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 255 mins.
Job 2 Operation 0 duration 1 mins.
Job 4 Operation 1 duration 75 mins.
Job 3 Operation 4 duration 40 mins.
Job 0 Operation 5 duration 191 mins.
Job 5 Operation 5 duration 175 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 191 mins.
Job 3 Operation 0 duration 139 mins.
Job 1 Operation 1 duration 88 mins.
Job 5 Operation 1 duration 35 mins.
Job 2 Operation 4 duration 110 mins.
Job 4 Operation 4 duration 1 mins.
| Solution:
Job 5 Operation 0 on Machine 3 : 0 + 258 -> 258
Job 2 Operation 0 on Machine 4 : 0 + 1 -> 1
Job 0 Operation 0 on Machine 5 : 0 + 191 -> 191
Job 1 Operation 0 on Machine 4 : 1 + 255 -> 256
Job 0 Operation 1 on Machine 0 : 191 + 58 -> 249
Job 3 Operation 0 on Machine 5 : 191 + 139 -> 330
Job 4 Operation 0 on Machine 0 : 249 + 265 -> 514
Job 0 Operation 2 on Machine 3 : 258 + 200 -> 458
Job 3 Operation 1 on Machine 2 : 330 + 226 -> 556
Job 5 Operation 1 on Machine 5 : 330 + 35 -> 365
Job 5 Operation 2 on Machine 1 : 365 + 252 -> 617
Job 1 Operation 1 on Machine 5 : 365 + 88 -> 453
Job 2 Operation 1 on Machine 3 : 458 + 205 -> 663
Job 4 Operation 1 on Machine 4 : 514 + 75 -> 589
Job 0 Operation 3 on Machine 1 : 617 + 154 -> 771
Job 5 Operation 3 on Machine 2 : 617 + 199 -> 816
Job 3 Operation 2 on Machine 3 : 663 + 57 -> 720
Job 3 Operation 3 on Machine 0 : 720 + 212 -> 932
Job 1 Operation 2 on Machine 3 : 720 + 201 -> 921
Job 2 Operation 2 on Machine 1 : 771 + 199 -> 970
Job 0 Operation 4 on Machine 2 : 816 + 173 -> 989
Job 4 Operation 2 on Machine 3 : 921 + 216 -> 1137
Job 5 Operation 4 on Machine 0 : 932 + 111 -> 1043
Job 3 Operation 4 on Machine 4 : 932 + 40 -> 972
Job 3 Operation 5 on Machine 1 : 972 + 203 -> 1175
Job 1 Operation 3 on Machine 2 : 989 + 233 -> 1222
Job 0 Operation 5 on Machine 4 : 989 + 191 -> 1180
Job 2 Operation 3 on Machine 0 : 1043 + 193 -> 1236
Job 4 Operation 3 on Machine 1 : 1175 + 112 -> 1287
Job 5 Operation 5 on Machine 4 : 1180 + 175 -> 1355
Job 1 Operation 4 on Machine 0 : 1236 + 99 -> 1335
Job 4 Operation 4 on Machine 5 : 1287 + 1 -> 1288
Job 4 Operation 5 on Machine 2 : 1288 + 55 -> 1343
Job 2 Operation 4 on Machine 5 : 1288 + 110 -> 1398
Job 1 Operation 5 on Machine 1 : 1335 + 135 -> 1470
Job 2 Operation 5 on Machine 2 : 1398 + 33 -> 1431
Makespan: 1470.0, as it is the maximum end completion time of Operation 5 |
20 | 15 | Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 51 mins.
Operation 1 on Machine 14 duration 57 mins.
Operation 2 on Machine 7 duration 265 mins.
Operation 3 on Machine 13 duration 282 mins.
Operation 4 on Machine 12 duration 214 mins.
Operation 5 on Machine 6 duration 11 mins.
Operation 6 on Machine 1 duration 285 mins.
Operation 7 on Machine 0 duration 19 mins.
Operation 8 on Machine 5 duration 103 mins.
Operation 9 on Machine 11 duration 277 mins.
Operation 10 on Machine 9 duration 35 mins.
Operation 11 on Machine 4 duration 108 mins.
Operation 12 on Machine 2 duration 99 mins.
Operation 13 on Machine 10 duration 47 mins.
Operation 14 on Machine 8 duration 52 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 129 mins.
Operation 1 on Machine 5 duration 271 mins.
Operation 2 on Machine 6 duration 170 mins.
Operation 3 on Machine 8 duration 177 mins.
Operation 4 on Machine 12 duration 259 mins.
Operation 5 on Machine 10 duration 296 mins.
Operation 6 on Machine 13 duration 17 mins.
Operation 7 on Machine 9 duration 66 mins.
Operation 8 on Machine 3 duration 127 mins.
Operation 9 on Machine 4 duration 39 mins.
Operation 10 on Machine 11 duration 181 mins.
Operation 11 on Machine 2 duration 33 mins.
Operation 12 on Machine 7 duration 131 mins.
Operation 13 on Machine 1 duration 127 mins.
Operation 14 on Machine 14 duration 136 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 11 duration 341 mins.
Operation 1 on Machine 8 duration 69 mins.
Operation 2 on Machine 7 duration 292 mins.
Operation 3 on Machine 1 duration 48 mins.
Operation 4 on Machine 13 duration 275 mins.
Operation 5 on Machine 12 duration 77 mins.
Operation 6 on Machine 0 duration 7 mins.
Operation 7 on Machine 5 duration 77 mins.
Operation 8 on Machine 3 duration 207 mins.
Operation 9 on Machine 9 duration 180 mins.
Operation 10 on Machine 14 duration 343 mins.
Operation 11 on Machine 10 duration 134 mins.
Operation 12 on Machine 6 duration 195 mins.
Operation 13 on Machine 2 duration 78 mins.
Operation 14 on Machine 4 duration 232 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 190 mins.
Operation 1 on Machine 10 duration 40 mins.
Operation 2 on Machine 6 duration 27 mins.
Operation 3 on Machine 1 duration 246 mins.
Operation 4 on Machine 9 duration 286 mins.
Operation 5 on Machine 14 duration 26 mins.
Operation 6 on Machine 12 duration 23 mins.
Operation 7 on Machine 7 duration 144 mins.
Operation 8 on Machine 3 duration 1 mins.
Operation 9 on Machine 8 duration 67 mins.
Operation 10 on Machine 2 duration 196 mins.
Operation 11 on Machine 11 duration 271 mins.
Operation 12 on Machine 13 duration 74 mins.
Operation 13 on Machine 4 duration 335 mins.
Operation 14 on Machine 0 duration 5 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 260 mins.
Operation 1 on Machine 1 duration 79 mins.
Operation 2 on Machine 9 duration 185 mins.
Operation 3 on Machine 0 duration 148 mins.
Operation 4 on Machine 13 duration 339 mins.
Operation 5 on Machine 10 duration 304 mins.
Operation 6 on Machine 8 duration 336 mins.
Operation 7 on Machine 3 duration 297 mins.
Operation 8 on Machine 5 duration 271 mins.
Operation 9 on Machine 4 duration 138 mins.
Operation 10 on Machine 6 duration 235 mins.
Operation 11 on Machine 12 duration 181 mins.
Operation 12 on Machine 2 duration 248 mins.
Operation 13 on Machine 14 duration 105 mins.
Operation 14 on Machine 11 duration 315 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 11 duration 143 mins.
Operation 1 on Machine 7 duration 228 mins.
Operation 2 on Machine 14 duration 242 mins.
Operation 3 on Machine 3 duration 175 mins.
Operation 4 on Machine 8 duration 205 mins.
Operation 5 on Machine 4 duration 116 mins.
Operation 6 on Machine 12 duration 261 mins.
Operation 7 on Machine 1 duration 214 mins.
Operation 8 on Machine 0 duration 333 mins.
Operation 9 on Machine 13 duration 214 mins.
Operation 10 on Machine 5 duration 338 mins.
Operation 11 on Machine 6 duration 156 mins.
Operation 12 on Machine 10 duration 167 mins.
Operation 13 on Machine 9 duration 13 mins.
Operation 14 on Machine 2 duration 268 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 333 mins.
Operation 1 on Machine 7 duration 311 mins.
Operation 2 on Machine 10 duration 95 mins.
Operation 3 on Machine 6 duration 158 mins.
Operation 4 on Machine 8 duration 131 mins.
Operation 5 on Machine 12 duration 104 mins.
Operation 6 on Machine 9 duration 12 mins.
Operation 7 on Machine 2 duration 77 mins.
Operation 8 on Machine 0 duration 183 mins.
Operation 9 on Machine 4 duration 87 mins.
Operation 10 on Machine 13 duration 107 mins.
Operation 11 on Machine 14 duration 118 mins.
Operation 12 on Machine 1 duration 57 mins.
Operation 13 on Machine 3 duration 210 mins.
Operation 14 on Machine 11 duration 253 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 178 mins.
Operation 1 on Machine 12 duration 21 mins.
Operation 2 on Machine 4 duration 156 mins.
Operation 3 on Machine 6 duration 16 mins.
Operation 4 on Machine 9 duration 290 mins.
Operation 5 on Machine 5 duration 109 mins.
Operation 6 on Machine 11 duration 274 mins.
Operation 7 on Machine 14 duration 191 mins.
Operation 8 on Machine 13 duration 121 mins.
Operation 9 on Machine 7 duration 27 mins.
Operation 10 on Machine 10 duration 244 mins.
Operation 11 on Machine 8 duration 142 mins.
Operation 12 on Machine 1 duration 236 mins.
Operation 13 on Machine 2 duration 174 mins.
Operation 14 on Machine 3 duration 117 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 6 duration 19 mins.
Operation 1 on Machine 9 duration 164 mins.
Operation 2 on Machine 12 duration 348 mins.
Operation 3 on Machine 2 duration 106 mins.
Operation 4 on Machine 13 duration 310 mins.
Operation 5 on Machine 10 duration 100 mins.
Operation 6 on Machine 11 duration 227 mins.
Operation 7 on Machine 0 duration 248 mins.
Operation 8 on Machine 14 duration 153 mins.
Operation 9 on Machine 8 duration 19 mins.
Operation 10 on Machine 5 duration 148 mins.
Operation 11 on Machine 7 duration 167 mins.
Operation 12 on Machine 3 duration 95 mins.
Operation 13 on Machine 4 duration 227 mins.
Operation 14 on Machine 1 duration 300 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 73 mins.
Operation 1 on Machine 13 duration 134 mins.
Operation 2 on Machine 8 duration 271 mins.
Operation 3 on Machine 0 duration 2 mins.
Operation 4 on Machine 9 duration 116 mins.
Operation 5 on Machine 10 duration 319 mins.
Operation 6 on Machine 6 duration 167 mins.
Operation 7 on Machine 3 duration 245 mins.
Operation 8 on Machine 11 duration 191 mins.
Operation 9 on Machine 14 duration 41 mins.
Operation 10 on Machine 12 duration 308 mins.
Operation 11 on Machine 7 duration 314 mins.
Operation 12 on Machine 5 duration 45 mins.
Operation 13 on Machine 2 duration 241 mins.
Operation 14 on Machine 4 duration 82 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 9 duration 91 mins.
Operation 1 on Machine 10 duration 56 mins.
Operation 2 on Machine 14 duration 210 mins.
Operation 3 on Machine 2 duration 118 mins.
Operation 4 on Machine 5 duration 192 mins.
Operation 5 on Machine 12 duration 16 mins.
Operation 6 on Machine 13 duration 219 mins.
Operation 7 on Machine 11 duration 42 mins.
Operation 8 on Machine 4 duration 141 mins.
Operation 9 on Machine 8 duration 252 mins.
Operation 10 on Machine 6 duration 81 mins.
Operation 11 on Machine 0 duration 54 mins.
Operation 12 on Machine 3 duration 346 mins.
Operation 13 on Machine 7 duration 25 mins.
Operation 14 on Machine 1 duration 50 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 11 duration 164 mins.
Operation 1 on Machine 7 duration 91 mins.
Operation 2 on Machine 8 duration 246 mins.
Operation 3 on Machine 2 duration 189 mins.
Operation 4 on Machine 1 duration 279 mins.
Operation 5 on Machine 10 duration 8 mins.
Operation 6 on Machine 12 duration 255 mins.
Operation 7 on Machine 0 duration 82 mins.
Operation 8 on Machine 4 duration 123 mins.
Operation 9 on Machine 5 duration 102 mins.
Operation 10 on Machine 3 duration 140 mins.
Operation 11 on Machine 14 duration 225 mins.
Operation 12 on Machine 6 duration 10 mins.
Operation 13 on Machine 13 duration 194 mins.
Operation 14 on Machine 9 duration 148 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 13 duration 59 mins.
Operation 1 on Machine 12 duration 343 mins.
Operation 2 on Machine 14 duration 270 mins.
Operation 3 on Machine 11 duration 270 mins.
Operation 4 on Machine 9 duration 62 mins.
Operation 5 on Machine 0 duration 252 mins.
Operation 6 on Machine 5 duration 267 mins.
Operation 7 on Machine 1 duration 191 mins.
Operation 8 on Machine 3 duration 16 mins.
Operation 9 on Machine 7 duration 20 mins.
Operation 10 on Machine 4 duration 132 mins.
Operation 11 on Machine 10 duration 15 mins.
Operation 12 on Machine 6 duration 39 mins.
Operation 13 on Machine 2 duration 135 mins.
Operation 14 on Machine 8 duration 97 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 9 duration 265 mins.
Operation 1 on Machine 4 duration 132 mins.
Operation 2 on Machine 0 duration 194 mins.
Operation 3 on Machine 8 duration 79 mins.
Operation 4 on Machine 10 duration 325 mins.
Operation 5 on Machine 11 duration 128 mins.
Operation 6 on Machine 13 duration 332 mins.
Operation 7 on Machine 5 duration 221 mins.
Operation 8 on Machine 12 duration 252 mins.
Operation 9 on Machine 1 duration 93 mins.
Operation 10 on Machine 6 duration 150 mins.
Operation 11 on Machine 7 duration 31 mins.
Operation 12 on Machine 14 duration 176 mins.
Operation 13 on Machine 2 duration 77 mins.
Operation 14 on Machine 3 duration 86 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 4 duration 169 mins.
Operation 1 on Machine 7 duration 341 mins.
Operation 2 on Machine 14 duration 248 mins.
Operation 3 on Machine 11 duration 222 mins.
Operation 4 on Machine 9 duration 14 mins.
Operation 5 on Machine 13 duration 301 mins.
Operation 6 on Machine 12 duration 115 mins.
Operation 7 on Machine 0 duration 187 mins.
Operation 8 on Machine 1 duration 91 mins.
Operation 9 on Machine 3 duration 243 mins.
Operation 10 on Machine 5 duration 37 mins.
Operation 11 on Machine 2 duration 216 mins.
Operation 12 on Machine 8 duration 119 mins.
Operation 13 on Machine 6 duration 85 mins.
Operation 14 on Machine 10 duration 207 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 0 duration 145 mins.
Operation 1 on Machine 2 duration 28 mins.
Operation 2 on Machine 5 duration 160 mins.
Operation 3 on Machine 3 duration 314 mins.
Operation 4 on Machine 6 duration 63 mins.
Operation 5 on Machine 10 duration 16 mins.
Operation 6 on Machine 9 duration 197 mins.
Operation 7 on Machine 13 duration 227 mins.
Operation 8 on Machine 8 duration 101 mins.
Operation 9 on Machine 7 duration 18 mins.
Operation 10 on Machine 11 duration 263 mins.
Operation 11 on Machine 1 duration 303 mins.
Operation 12 on Machine 12 duration 17 mins.
Operation 13 on Machine 4 duration 159 mins.
Operation 14 on Machine 14 duration 117 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 2 duration 75 mins.
Operation 1 on Machine 1 duration 176 mins.
Operation 2 on Machine 13 duration 162 mins.
Operation 3 on Machine 7 duration 118 mins.
Operation 4 on Machine 5 duration 206 mins.
Operation 5 on Machine 3 duration 209 mins.
Operation 6 on Machine 4 duration 191 mins.
Operation 7 on Machine 12 duration 14 mins.
Operation 8 on Machine 11 duration 182 mins.
Operation 9 on Machine 0 duration 112 mins.
Operation 10 on Machine 9 duration 20 mins.
Operation 11 on Machine 10 duration 56 mins.
Operation 12 on Machine 14 duration 59 mins.
Operation 13 on Machine 8 duration 277 mins.
Operation 14 on Machine 6 duration 157 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 2 duration 306 mins.
Operation 1 on Machine 3 duration 228 mins.
Operation 2 on Machine 9 duration 342 mins.
Operation 3 on Machine 11 duration 184 mins.
Operation 4 on Machine 7 duration 344 mins.
Operation 5 on Machine 14 duration 56 mins.
Operation 6 on Machine 10 duration 59 mins.
Operation 7 on Machine 6 duration 303 mins.
Operation 8 on Machine 8 duration 241 mins.
Operation 9 on Machine 4 duration 253 mins.
Operation 10 on Machine 0 duration 137 mins.
Operation 11 on Machine 13 duration 129 mins.
Operation 12 on Machine 1 duration 262 mins.
Operation 13 on Machine 12 duration 118 mins.
Operation 14 on Machine 5 duration 208 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 9 duration 305 mins.
Operation 1 on Machine 11 duration 179 mins.
Operation 2 on Machine 10 duration 233 mins.
Operation 3 on Machine 13 duration 67 mins.
Operation 4 on Machine 2 duration 294 mins.
Operation 5 on Machine 8 duration 178 mins.
Operation 6 on Machine 1 duration 247 mins.
Operation 7 on Machine 0 duration 228 mins.
Operation 8 on Machine 7 duration 23 mins.
Operation 9 on Machine 14 duration 221 mins.
Operation 10 on Machine 4 duration 281 mins.
Operation 11 on Machine 12 duration 230 mins.
Operation 12 on Machine 6 duration 138 mins.
Operation 13 on Machine 3 duration 209 mins.
Operation 14 on Machine 5 duration 345 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 2 duration 175 mins.
Operation 1 on Machine 0 duration 228 mins.
Operation 2 on Machine 12 duration 65 mins.
Operation 3 on Machine 7 duration 88 mins.
Operation 4 on Machine 5 duration 156 mins.
Operation 5 on Machine 10 duration 127 mins.
Operation 6 on Machine 8 duration 247 mins.
Operation 7 on Machine 4 duration 71 mins.
Operation 8 on Machine 11 duration 15 mins.
Operation 9 on Machine 1 duration 170 mins.
Operation 10 on Machine 6 duration 280 mins.
Operation 11 on Machine 9 duration 82 mins.
Operation 12 on Machine 3 duration 312 mins.
Operation 13 on Machine 13 duration 232 mins.
Operation 14 on Machine 14 duration 221 mins.
| Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 129 mins.
Job 7 Operation 0 duration 178 mins.
Job 15 Operation 0 duration 145 mins.
Job 19 Operation 1 duration 228 mins.
Job 13 Operation 2 duration 194 mins.
Job 4 Operation 3 duration 148 mins.
Job 9 Operation 3 duration 2 mins.
Job 12 Operation 5 duration 252 mins.
Job 2 Operation 6 duration 7 mins.
Job 0 Operation 7 duration 19 mins.
Job 8 Operation 7 duration 248 mins.
Job 11 Operation 7 duration 82 mins.
Job 14 Operation 7 duration 187 mins.
Job 18 Operation 7 duration 228 mins.
Job 5 Operation 8 duration 333 mins.
Job 6 Operation 8 duration 183 mins.
Job 16 Operation 9 duration 112 mins.
Job 17 Operation 10 duration 137 mins.
Job 10 Operation 11 duration 54 mins.
Job 3 Operation 14 duration 5 mins.
Machine 1 is used for the following Operations:
Job 9 Operation 0 duration 73 mins.
Job 4 Operation 1 duration 79 mins.
Job 16 Operation 1 duration 176 mins.
Job 2 Operation 3 duration 48 mins.
Job 3 Operation 3 duration 246 mins.
Job 11 Operation 4 duration 279 mins.
Job 0 Operation 6 duration 285 mins.
Job 18 Operation 6 duration 247 mins.
Job 5 Operation 7 duration 214 mins.
Job 12 Operation 7 duration 191 mins.
Job 14 Operation 8 duration 91 mins.
Job 13 Operation 9 duration 93 mins.
Job 19 Operation 9 duration 170 mins.
Job 15 Operation 11 duration 303 mins.
Job 6 Operation 12 duration 57 mins.
Job 7 Operation 12 duration 236 mins.
Job 17 Operation 12 duration 262 mins.
Job 1 Operation 13 duration 127 mins.
Job 8 Operation 14 duration 300 mins.
Job 10 Operation 14 duration 50 mins.
Machine 2 is used for the following Operations:
Job 16 Operation 0 duration 75 mins.
Job 17 Operation 0 duration 306 mins.
Job 19 Operation 0 duration 175 mins.
Job 15 Operation 1 duration 28 mins.
Job 8 Operation 3 duration 106 mins.
Job 10 Operation 3 duration 118 mins.
Job 11 Operation 3 duration 189 mins.
Job 18 Operation 4 duration 294 mins.
Job 6 Operation 7 duration 77 mins.
Job 3 Operation 10 duration 196 mins.
Job 1 Operation 11 duration 33 mins.
Job 14 Operation 11 duration 216 mins.
Job 0 Operation 12 duration 99 mins.
Job 4 Operation 12 duration 248 mins.
Job 2 Operation 13 duration 78 mins.
Job 7 Operation 13 duration 174 mins.
Job 9 Operation 13 duration 241 mins.
Job 12 Operation 13 duration 135 mins.
Job 13 Operation 13 duration 77 mins.
Job 5 Operation 14 duration 268 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 51 mins.
Job 17 Operation 1 duration 228 mins.
Job 5 Operation 3 duration 175 mins.
Job 15 Operation 3 duration 314 mins.
Job 16 Operation 5 duration 209 mins.
Job 4 Operation 7 duration 297 mins.
Job 9 Operation 7 duration 245 mins.
Job 1 Operation 8 duration 127 mins.
Job 2 Operation 8 duration 207 mins.
Job 3 Operation 8 duration 1 mins.
Job 12 Operation 8 duration 16 mins.
Job 14 Operation 9 duration 243 mins.
Job 11 Operation 10 duration 140 mins.
Job 8 Operation 12 duration 95 mins.
Job 10 Operation 12 duration 346 mins.
Job 19 Operation 12 duration 312 mins.
Job 6 Operation 13 duration 210 mins.
Job 18 Operation 13 duration 209 mins.
Job 7 Operation 14 duration 117 mins.
Job 13 Operation 14 duration 86 mins.
Machine 4 is used for the following Operations:
Job 14 Operation 0 duration 169 mins.
Job 13 Operation 1 duration 132 mins.
Job 7 Operation 2 duration 156 mins.
Job 5 Operation 5 duration 116 mins.
Job 16 Operation 6 duration 191 mins.
Job 19 Operation 7 duration 71 mins.
Job 10 Operation 8 duration 141 mins.
Job 11 Operation 8 duration 123 mins.
Job 1 Operation 9 duration 39 mins.
Job 4 Operation 9 duration 138 mins.
Job 6 Operation 9 duration 87 mins.
Job 17 Operation 9 duration 253 mins.
Job 12 Operation 10 duration 132 mins.
Job 18 Operation 10 duration 281 mins.
Job 0 Operation 11 duration 108 mins.
Job 3 Operation 13 duration 335 mins.
Job 8 Operation 13 duration 227 mins.
Job 15 Operation 13 duration 159 mins.
Job 2 Operation 14 duration 232 mins.
Job 9 Operation 14 duration 82 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 190 mins.
Job 6 Operation 0 duration 333 mins.
Job 1 Operation 1 duration 271 mins.
Job 15 Operation 2 duration 160 mins.
Job 10 Operation 4 duration 192 mins.
Job 16 Operation 4 duration 206 mins.
Job 19 Operation 4 duration 156 mins.
Job 7 Operation 5 duration 109 mins.
Job 12 Operation 6 duration 267 mins.
Job 2 Operation 7 duration 77 mins.
Job 13 Operation 7 duration 221 mins.
Job 0 Operation 8 duration 103 mins.
Job 4 Operation 8 duration 271 mins.
Job 11 Operation 9 duration 102 mins.
Job 5 Operation 10 duration 338 mins.
Job 8 Operation 10 duration 148 mins.
Job 14 Operation 10 duration 37 mins.
Job 9 Operation 12 duration 45 mins.
Job 17 Operation 14 duration 208 mins.
Job 18 Operation 14 duration 345 mins.
Machine 6 is used for the following Operations:
Job 8 Operation 0 duration 19 mins.
Job 1 Operation 2 duration 170 mins.
Job 3 Operation 2 duration 27 mins.
Job 6 Operation 3 duration 158 mins.
Job 7 Operation 3 duration 16 mins.
Job 15 Operation 4 duration 63 mins.
Job 0 Operation 5 duration 11 mins.
Job 9 Operation 6 duration 167 mins.
Job 17 Operation 7 duration 303 mins.
Job 4 Operation 10 duration 235 mins.
Job 10 Operation 10 duration 81 mins.
Job 13 Operation 10 duration 150 mins.
Job 19 Operation 10 duration 280 mins.
Job 5 Operation 11 duration 156 mins.
Job 2 Operation 12 duration 195 mins.
Job 11 Operation 12 duration 10 mins.
Job 12 Operation 12 duration 39 mins.
Job 18 Operation 12 duration 138 mins.
Job 14 Operation 13 duration 85 mins.
Job 16 Operation 14 duration 157 mins.
Machine 7 is used for the following Operations:
Job 4 Operation 0 duration 260 mins.
Job 5 Operation 1 duration 228 mins.
Job 6 Operation 1 duration 311 mins.
Job 11 Operation 1 duration 91 mins.
Job 14 Operation 1 duration 341 mins.
Job 0 Operation 2 duration 265 mins.
Job 2 Operation 2 duration 292 mins.
Job 16 Operation 3 duration 118 mins.
Job 19 Operation 3 duration 88 mins.
Job 17 Operation 4 duration 344 mins.
Job 3 Operation 7 duration 144 mins.
Job 18 Operation 8 duration 23 mins.
Job 7 Operation 9 duration 27 mins.
Job 12 Operation 9 duration 20 mins.
Job 15 Operation 9 duration 18 mins.
Job 8 Operation 11 duration 167 mins.
Job 9 Operation 11 duration 314 mins.
Job 13 Operation 11 duration 31 mins.
Job 1 Operation 12 duration 131 mins.
Job 10 Operation 13 duration 25 mins.
Machine 8 is used for the following Operations:
Job 2 Operation 1 duration 69 mins.
Job 9 Operation 2 duration 271 mins.
Job 11 Operation 2 duration 246 mins.
Job 1 Operation 3 duration 177 mins.
Job 13 Operation 3 duration 79 mins.
Job 5 Operation 4 duration 205 mins.
Job 6 Operation 4 duration 131 mins.
Job 18 Operation 5 duration 178 mins.
Job 4 Operation 6 duration 336 mins.
Job 19 Operation 6 duration 247 mins.
Job 15 Operation 8 duration 101 mins.
Job 17 Operation 8 duration 241 mins.
Job 3 Operation 9 duration 67 mins.
Job 8 Operation 9 duration 19 mins.
Job 10 Operation 9 duration 252 mins.
Job 7 Operation 11 duration 142 mins.
Job 14 Operation 12 duration 119 mins.
Job 16 Operation 13 duration 277 mins.
Job 0 Operation 14 duration 52 mins.
Job 12 Operation 14 duration 97 mins.
Machine 9 is used for the following Operations:
Job 10 Operation 0 duration 91 mins.
Job 13 Operation 0 duration 265 mins.
Job 18 Operation 0 duration 305 mins.
Job 8 Operation 1 duration 164 mins.
Job 4 Operation 2 duration 185 mins.
Job 17 Operation 2 duration 342 mins.
Job 3 Operation 4 duration 286 mins.
Job 7 Operation 4 duration 290 mins.
Job 9 Operation 4 duration 116 mins.
Job 12 Operation 4 duration 62 mins.
Job 14 Operation 4 duration 14 mins.
Job 6 Operation 6 duration 12 mins.
Job 15 Operation 6 duration 197 mins.
Job 1 Operation 7 duration 66 mins.
Job 2 Operation 9 duration 180 mins.
Job 0 Operation 10 duration 35 mins.
Job 16 Operation 10 duration 20 mins.
Job 19 Operation 11 duration 82 mins.
Job 5 Operation 13 duration 13 mins.
Job 11 Operation 14 duration 148 mins.
Machine 10 is used for the following Operations:
Job 3 Operation 1 duration 40 mins.
Job 10 Operation 1 duration 56 mins.
Job 6 Operation 2 duration 95 mins.
Job 18 Operation 2 duration 233 mins.
Job 13 Operation 4 duration 325 mins.
Job 1 Operation 5 duration 296 mins.
Job 4 Operation 5 duration 304 mins.
Job 8 Operation 5 duration 100 mins.
Job 9 Operation 5 duration 319 mins.
Job 11 Operation 5 duration 8 mins.
Job 15 Operation 5 duration 16 mins.
Job 19 Operation 5 duration 127 mins.
Job 17 Operation 6 duration 59 mins.
Job 7 Operation 10 duration 244 mins.
Job 2 Operation 11 duration 134 mins.
Job 12 Operation 11 duration 15 mins.
Job 16 Operation 11 duration 56 mins.
Job 5 Operation 12 duration 167 mins.
Job 0 Operation 13 duration 47 mins.
Job 14 Operation 14 duration 207 mins.
Machine 11 is used for the following Operations:
Job 2 Operation 0 duration 341 mins.
Job 5 Operation 0 duration 143 mins.
Job 11 Operation 0 duration 164 mins.
Job 18 Operation 1 duration 179 mins.
Job 12 Operation 3 duration 270 mins.
Job 14 Operation 3 duration 222 mins.
Job 17 Operation 3 duration 184 mins.
Job 13 Operation 5 duration 128 mins.
Job 7 Operation 6 duration 274 mins.
Job 8 Operation 6 duration 227 mins.
Job 10 Operation 7 duration 42 mins.
Job 9 Operation 8 duration 191 mins.
Job 16 Operation 8 duration 182 mins.
Job 19 Operation 8 duration 15 mins.
Job 0 Operation 9 duration 277 mins.
Job 1 Operation 10 duration 181 mins.
Job 15 Operation 10 duration 263 mins.
Job 3 Operation 11 duration 271 mins.
Job 4 Operation 14 duration 315 mins.
Job 6 Operation 14 duration 253 mins.
Machine 12 is used for the following Operations:
Job 7 Operation 1 duration 21 mins.
Job 12 Operation 1 duration 343 mins.
Job 8 Operation 2 duration 348 mins.
Job 19 Operation 2 duration 65 mins.
Job 0 Operation 4 duration 214 mins.
Job 1 Operation 4 duration 259 mins.
Job 2 Operation 5 duration 77 mins.
Job 6 Operation 5 duration 104 mins.
Job 10 Operation 5 duration 16 mins.
Job 3 Operation 6 duration 23 mins.
Job 5 Operation 6 duration 261 mins.
Job 11 Operation 6 duration 255 mins.
Job 14 Operation 6 duration 115 mins.
Job 16 Operation 7 duration 14 mins.
Job 13 Operation 8 duration 252 mins.
Job 9 Operation 10 duration 308 mins.
Job 4 Operation 11 duration 181 mins.
Job 18 Operation 11 duration 230 mins.
Job 15 Operation 12 duration 17 mins.
Job 17 Operation 13 duration 118 mins.
Machine 13 is used for the following Operations:
Job 12 Operation 0 duration 59 mins.
Job 9 Operation 1 duration 134 mins.
Job 16 Operation 2 duration 162 mins.
Job 0 Operation 3 duration 282 mins.
Job 18 Operation 3 duration 67 mins.
Job 2 Operation 4 duration 275 mins.
Job 4 Operation 4 duration 339 mins.
Job 8 Operation 4 duration 310 mins.
Job 14 Operation 5 duration 301 mins.
Job 1 Operation 6 duration 17 mins.
Job 10 Operation 6 duration 219 mins.
Job 13 Operation 6 duration 332 mins.
Job 15 Operation 7 duration 227 mins.
Job 7 Operation 8 duration 121 mins.
Job 5 Operation 9 duration 214 mins.
Job 6 Operation 10 duration 107 mins.
Job 17 Operation 11 duration 129 mins.
Job 3 Operation 12 duration 74 mins.
Job 11 Operation 13 duration 194 mins.
Job 19 Operation 13 duration 232 mins.
Machine 14 is used for the following Operations:
Job 0 Operation 1 duration 57 mins.
Job 5 Operation 2 duration 242 mins.
Job 10 Operation 2 duration 210 mins.
Job 12 Operation 2 duration 270 mins.
Job 14 Operation 2 duration 248 mins.
Job 3 Operation 5 duration 26 mins.
Job 17 Operation 5 duration 56 mins.
Job 7 Operation 7 duration 191 mins.
Job 8 Operation 8 duration 153 mins.
Job 9 Operation 9 duration 41 mins.
Job 18 Operation 9 duration 221 mins.
Job 2 Operation 10 duration 343 mins.
Job 6 Operation 11 duration 118 mins.
Job 11 Operation 11 duration 225 mins.
Job 13 Operation 12 duration 176 mins.
Job 16 Operation 12 duration 59 mins.
Job 4 Operation 13 duration 105 mins.
Job 1 Operation 14 duration 136 mins.
Job 15 Operation 14 duration 117 mins.
Job 19 Operation 14 duration 221 mins.
| Solution:
Job 1 Operation 0 on Machine 0 : 0 + 129 -> 129
Job 9 Operation 0 on Machine 1 : 0 + 73 -> 73
Job 16 Operation 0 on Machine 2 : 0 + 75 -> 75
Job 0 Operation 0 on Machine 3 : 0 + 51 -> 51
Job 14 Operation 0 on Machine 4 : 0 + 169 -> 169
Job 6 Operation 0 on Machine 5 : 0 + 333 -> 333
Job 8 Operation 0 on Machine 6 : 0 + 19 -> 19
Job 4 Operation 0 on Machine 7 : 0 + 260 -> 260
Job 10 Operation 0 on Machine 9 : 0 + 91 -> 91
Job 5 Operation 0 on Machine 11 : 0 + 143 -> 143
Job 12 Operation 0 on Machine 13 : 0 + 59 -> 59
Job 0 Operation 1 on Machine 14 : 51 + 57 -> 108
Job 12 Operation 1 on Machine 12 : 59 + 343 -> 402
Job 9 Operation 1 on Machine 13 : 73 + 134 -> 207
Job 16 Operation 1 on Machine 1 : 75 + 176 -> 251
Job 19 Operation 0 on Machine 2 : 75 + 175 -> 250
Job 8 Operation 1 on Machine 9 : 91 + 164 -> 255
Job 10 Operation 1 on Machine 10 : 91 + 56 -> 147
Job 15 Operation 0 on Machine 0 : 129 + 145 -> 274
Job 11 Operation 0 on Machine 11 : 143 + 164 -> 307
Job 10 Operation 2 on Machine 14 : 147 + 210 -> 357
Job 9 Operation 2 on Machine 8 : 207 + 271 -> 478
Job 16 Operation 2 on Machine 13 : 251 + 162 -> 413
Job 4 Operation 1 on Machine 1 : 260 + 79 -> 339
Job 0 Operation 2 on Machine 7 : 260 + 265 -> 525
Job 19 Operation 1 on Machine 0 : 274 + 228 -> 502
Job 15 Operation 1 on Machine 2 : 274 + 28 -> 302
Job 2 Operation 0 on Machine 11 : 307 + 341 -> 648
Job 3 Operation 0 on Machine 5 : 333 + 190 -> 523
Job 4 Operation 2 on Machine 9 : 339 + 185 -> 524
Job 10 Operation 3 on Machine 2 : 357 + 118 -> 475
Job 8 Operation 2 on Machine 12 : 402 + 348 -> 750
Job 12 Operation 2 on Machine 14 : 402 + 270 -> 672
Job 17 Operation 0 on Machine 2 : 475 + 306 -> 781
Job 9 Operation 3 on Machine 0 : 502 + 2 -> 504
Job 7 Operation 0 on Machine 0 : 504 + 178 -> 682
Job 10 Operation 4 on Machine 5 : 523 + 192 -> 715
Job 3 Operation 1 on Machine 10 : 523 + 40 -> 563
Job 9 Operation 4 on Machine 9 : 524 + 116 -> 640
Job 11 Operation 1 on Machine 7 : 525 + 91 -> 616
Job 0 Operation 3 on Machine 13 : 525 + 282 -> 807
Job 3 Operation 2 on Machine 6 : 563 + 27 -> 590
Job 3 Operation 3 on Machine 1 : 590 + 246 -> 836
Job 6 Operation 1 on Machine 7 : 616 + 311 -> 927
Job 11 Operation 2 on Machine 8 : 616 + 246 -> 862
Job 13 Operation 0 on Machine 9 : 640 + 265 -> 905
Job 9 Operation 5 on Machine 10 : 640 + 319 -> 959
Job 12 Operation 3 on Machine 11 : 672 + 270 -> 942
Job 4 Operation 3 on Machine 0 : 682 + 148 -> 830
Job 1 Operation 1 on Machine 5 : 715 + 271 -> 986
Job 7 Operation 1 on Machine 12 : 750 + 21 -> 771
Job 10 Operation 5 on Machine 12 : 771 + 16 -> 787
Job 8 Operation 3 on Machine 2 : 781 + 106 -> 887
Job 17 Operation 1 on Machine 3 : 781 + 228 -> 1009
Job 19 Operation 2 on Machine 12 : 787 + 65 -> 852
Job 10 Operation 6 on Machine 13 : 807 + 219 -> 1026
Job 0 Operation 4 on Machine 12 : 852 + 214 -> 1066
Job 2 Operation 1 on Machine 8 : 862 + 69 -> 931
Job 11 Operation 3 on Machine 2 : 887 + 189 -> 1076
Job 13 Operation 1 on Machine 4 : 905 + 132 -> 1037
Job 19 Operation 3 on Machine 7 : 927 + 88 -> 1015
Job 12 Operation 4 on Machine 9 : 942 + 62 -> 1004
Job 9 Operation 6 on Machine 6 : 959 + 167 -> 1126
Job 6 Operation 2 on Machine 10 : 959 + 95 -> 1054
Job 17 Operation 2 on Machine 9 : 1009 + 342 -> 1351
Job 19 Operation 4 on Machine 5 : 1015 + 156 -> 1171
Job 5 Operation 1 on Machine 7 : 1015 + 228 -> 1243
Job 10 Operation 7 on Machine 11 : 1026 + 42 -> 1068
Job 8 Operation 4 on Machine 13 : 1026 + 310 -> 1336
Job 13 Operation 2 on Machine 0 : 1037 + 194 -> 1231
Job 10 Operation 8 on Machine 4 : 1068 + 141 -> 1209
Job 11 Operation 4 on Machine 1 : 1076 + 279 -> 1355
Job 9 Operation 7 on Machine 3 : 1126 + 245 -> 1371
Job 0 Operation 5 on Machine 6 : 1126 + 11 -> 1137
Job 6 Operation 3 on Machine 6 : 1137 + 158 -> 1295
Job 15 Operation 2 on Machine 5 : 1171 + 160 -> 1331
Job 19 Operation 5 on Machine 10 : 1171 + 127 -> 1298
Job 7 Operation 2 on Machine 4 : 1209 + 156 -> 1365
Job 12 Operation 5 on Machine 0 : 1231 + 252 -> 1483
Job 13 Operation 3 on Machine 8 : 1231 + 79 -> 1310
Job 14 Operation 1 on Machine 7 : 1243 + 341 -> 1584
Job 5 Operation 2 on Machine 14 : 1243 + 242 -> 1485
Job 1 Operation 2 on Machine 6 : 1295 + 170 -> 1465
Job 6 Operation 4 on Machine 8 : 1310 + 131 -> 1441
Job 13 Operation 4 on Machine 10 : 1310 + 325 -> 1635
Job 4 Operation 4 on Machine 13 : 1336 + 339 -> 1675
Job 18 Operation 0 on Machine 9 : 1351 + 305 -> 1656
Job 0 Operation 6 on Machine 1 : 1355 + 285 -> 1640
Job 15 Operation 3 on Machine 3 : 1371 + 314 -> 1685
Job 9 Operation 8 on Machine 11 : 1371 + 191 -> 1562
Job 19 Operation 6 on Machine 8 : 1441 + 247 -> 1688
Job 6 Operation 5 on Machine 12 : 1441 + 104 -> 1545
Job 7 Operation 3 on Machine 6 : 1465 + 16 -> 1481
Job 9 Operation 9 on Machine 14 : 1562 + 41 -> 1603
Job 2 Operation 2 on Machine 7 : 1584 + 292 -> 1876
Job 9 Operation 10 on Machine 12 : 1603 + 308 -> 1911
Job 14 Operation 2 on Machine 14 : 1603 + 248 -> 1851
Job 11 Operation 5 on Machine 10 : 1635 + 8 -> 1643
Job 13 Operation 5 on Machine 11 : 1635 + 128 -> 1763
Job 0 Operation 7 on Machine 0 : 1640 + 19 -> 1659
Job 8 Operation 5 on Machine 10 : 1643 + 100 -> 1743
Job 6 Operation 6 on Machine 9 : 1656 + 12 -> 1668
Job 0 Operation 8 on Machine 5 : 1659 + 103 -> 1762
Job 6 Operation 7 on Machine 2 : 1668 + 77 -> 1745
Job 7 Operation 4 on Machine 9 : 1668 + 290 -> 1958
Job 5 Operation 3 on Machine 3 : 1685 + 175 -> 1860
Job 15 Operation 4 on Machine 6 : 1685 + 63 -> 1748
Job 19 Operation 7 on Machine 4 : 1688 + 71 -> 1759
Job 6 Operation 8 on Machine 0 : 1745 + 183 -> 1928
Job 15 Operation 5 on Machine 10 : 1748 + 16 -> 1764
Job 12 Operation 6 on Machine 5 : 1762 + 267 -> 2029
Job 19 Operation 8 on Machine 11 : 1763 + 15 -> 1778
Job 13 Operation 6 on Machine 13 : 1763 + 332 -> 2095
Job 4 Operation 5 on Machine 10 : 1764 + 304 -> 2068
Job 19 Operation 9 on Machine 1 : 1778 + 170 -> 1948
Job 8 Operation 6 on Machine 11 : 1778 + 227 -> 2005
Job 5 Operation 4 on Machine 8 : 1860 + 205 -> 2065
Job 9 Operation 11 on Machine 7 : 1911 + 314 -> 2225
Job 11 Operation 6 on Machine 12 : 1911 + 255 -> 2166
Job 6 Operation 9 on Machine 4 : 1928 + 87 -> 2015
Job 19 Operation 10 on Machine 6 : 1948 + 280 -> 2228
Job 15 Operation 6 on Machine 9 : 1958 + 197 -> 2155
Job 8 Operation 7 on Machine 0 : 2005 + 248 -> 2253
Job 18 Operation 1 on Machine 11 : 2005 + 179 -> 2184
Job 12 Operation 7 on Machine 1 : 2029 + 191 -> 2220
Job 7 Operation 5 on Machine 5 : 2029 + 109 -> 2138
Job 5 Operation 5 on Machine 4 : 2065 + 116 -> 2181
Job 4 Operation 6 on Machine 8 : 2068 + 336 -> 2404
Job 6 Operation 10 on Machine 13 : 2095 + 107 -> 2202
Job 5 Operation 6 on Machine 12 : 2181 + 261 -> 2442
Job 18 Operation 2 on Machine 10 : 2184 + 233 -> 2417
Job 17 Operation 3 on Machine 11 : 2184 + 184 -> 2368
Job 15 Operation 7 on Machine 13 : 2202 + 227 -> 2429
Job 12 Operation 8 on Machine 3 : 2220 + 16 -> 2236
Job 9 Operation 12 on Machine 5 : 2225 + 45 -> 2270
Job 16 Operation 3 on Machine 7 : 2225 + 118 -> 2343
Job 19 Operation 11 on Machine 9 : 2228 + 82 -> 2310
Job 11 Operation 7 on Machine 0 : 2253 + 82 -> 2335
Job 8 Operation 8 on Machine 14 : 2253 + 153 -> 2406
Job 9 Operation 13 on Machine 2 : 2270 + 241 -> 2511
Job 13 Operation 7 on Machine 5 : 2270 + 221 -> 2491
Job 19 Operation 12 on Machine 3 : 2310 + 312 -> 2622
Job 3 Operation 4 on Machine 9 : 2310 + 286 -> 2596
Job 11 Operation 8 on Machine 4 : 2335 + 123 -> 2458
Job 12 Operation 9 on Machine 7 : 2343 + 20 -> 2363
Job 17 Operation 4 on Machine 7 : 2368 + 344 -> 2712
Job 7 Operation 6 on Machine 11 : 2368 + 274 -> 2642
Job 8 Operation 9 on Machine 8 : 2406 + 19 -> 2425
Job 6 Operation 11 on Machine 14 : 2406 + 118 -> 2524
Job 15 Operation 8 on Machine 8 : 2429 + 101 -> 2530
Job 18 Operation 3 on Machine 13 : 2429 + 67 -> 2496
Job 5 Operation 7 on Machine 1 : 2442 + 214 -> 2656
Job 8 Operation 10 on Machine 5 : 2491 + 148 -> 2639
Job 13 Operation 8 on Machine 12 : 2491 + 252 -> 2743
Job 18 Operation 4 on Machine 2 : 2511 + 294 -> 2805
Job 9 Operation 14 on Machine 4 : 2511 + 82 -> 2593
Job 1 Operation 3 on Machine 8 : 2530 + 177 -> 2707
Job 12 Operation 10 on Machine 4 : 2593 + 132 -> 2725
Job 4 Operation 7 on Machine 3 : 2622 + 297 -> 2919
Job 19 Operation 13 on Machine 13 : 2622 + 232 -> 2854
Job 11 Operation 9 on Machine 5 : 2639 + 102 -> 2741
Job 14 Operation 3 on Machine 11 : 2642 + 222 -> 2864
Job 7 Operation 7 on Machine 14 : 2642 + 191 -> 2833
Job 5 Operation 8 on Machine 0 : 2656 + 333 -> 2989
Job 15 Operation 9 on Machine 7 : 2712 + 18 -> 2730
Job 12 Operation 11 on Machine 10 : 2725 + 15 -> 2740
Job 8 Operation 11 on Machine 7 : 2730 + 167 -> 2897
Job 12 Operation 12 on Machine 6 : 2740 + 39 -> 2779
Job 16 Operation 4 on Machine 5 : 2741 + 206 -> 2947
Job 13 Operation 9 on Machine 1 : 2743 + 93 -> 2836
Job 1 Operation 4 on Machine 12 : 2743 + 259 -> 3002
Job 12 Operation 13 on Machine 2 : 2805 + 135 -> 2940
Job 18 Operation 5 on Machine 8 : 2805 + 178 -> 2983
Job 3 Operation 5 on Machine 14 : 2833 + 26 -> 2859
Job 2 Operation 3 on Machine 1 : 2836 + 48 -> 2884
Job 13 Operation 10 on Machine 6 : 2836 + 150 -> 2986
Job 7 Operation 8 on Machine 13 : 2854 + 121 -> 2975
Job 17 Operation 5 on Machine 14 : 2859 + 56 -> 2915
Job 14 Operation 4 on Machine 9 : 2864 + 14 -> 2878
Job 15 Operation 10 on Machine 11 : 2864 + 263 -> 3127
Job 6 Operation 12 on Machine 1 : 2884 + 57 -> 2941
Job 17 Operation 6 on Machine 10 : 2915 + 59 -> 2974
Job 19 Operation 14 on Machine 14 : 2915 + 221 -> 3136
Job 8 Operation 12 on Machine 3 : 2919 + 95 -> 3014
Job 4 Operation 8 on Machine 5 : 2947 + 271 -> 3218
Job 7 Operation 9 on Machine 7 : 2975 + 27 -> 3002
Job 2 Operation 4 on Machine 13 : 2975 + 275 -> 3250
Job 18 Operation 6 on Machine 1 : 2983 + 247 -> 3230
Job 12 Operation 14 on Machine 8 : 2983 + 97 -> 3080
Job 17 Operation 7 on Machine 6 : 2986 + 303 -> 3289
Job 7 Operation 10 on Machine 10 : 3002 + 244 -> 3246
Job 3 Operation 6 on Machine 12 : 3002 + 23 -> 3025
Job 11 Operation 10 on Machine 3 : 3014 + 140 -> 3154
Job 8 Operation 13 on Machine 4 : 3014 + 227 -> 3241
Job 3 Operation 7 on Machine 7 : 3025 + 144 -> 3169
Job 0 Operation 9 on Machine 11 : 3127 + 277 -> 3404
Job 3 Operation 8 on Machine 3 : 3169 + 1 -> 3170
Job 13 Operation 11 on Machine 7 : 3169 + 31 -> 3200
Job 16 Operation 5 on Machine 3 : 3170 + 209 -> 3379
Job 3 Operation 9 on Machine 8 : 3170 + 67 -> 3237
Job 13 Operation 12 on Machine 14 : 3200 + 176 -> 3376
Job 18 Operation 7 on Machine 0 : 3230 + 228 -> 3458
Job 15 Operation 11 on Machine 1 : 3230 + 303 -> 3533
Job 3 Operation 10 on Machine 2 : 3237 + 196 -> 3433
Job 4 Operation 9 on Machine 4 : 3241 + 138 -> 3379
Job 7 Operation 11 on Machine 8 : 3246 + 142 -> 3388
Job 1 Operation 5 on Machine 10 : 3246 + 296 -> 3542
Job 2 Operation 5 on Machine 12 : 3250 + 77 -> 3327
Job 14 Operation 5 on Machine 13 : 3250 + 301 -> 3551
Job 6 Operation 13 on Machine 3 : 3379 + 210 -> 3589
Job 16 Operation 6 on Machine 4 : 3379 + 191 -> 3570
Job 4 Operation 10 on Machine 6 : 3379 + 235 -> 3614
Job 17 Operation 8 on Machine 8 : 3388 + 241 -> 3629
Job 0 Operation 10 on Machine 9 : 3404 + 35 -> 3439
Job 13 Operation 13 on Machine 2 : 3433 + 77 -> 3510
Job 3 Operation 11 on Machine 11 : 3433 + 271 -> 3704
Job 2 Operation 6 on Machine 0 : 3458 + 7 -> 3465
Job 18 Operation 8 on Machine 7 : 3458 + 23 -> 3481
Job 2 Operation 7 on Machine 5 : 3465 + 77 -> 3542
Job 18 Operation 9 on Machine 14 : 3481 + 221 -> 3702
Job 7 Operation 12 on Machine 1 : 3533 + 236 -> 3769
Job 14 Operation 6 on Machine 12 : 3551 + 115 -> 3666
Job 1 Operation 6 on Machine 13 : 3551 + 17 -> 3568
Job 1 Operation 7 on Machine 9 : 3568 + 66 -> 3634
Job 5 Operation 9 on Machine 13 : 3568 + 214 -> 3782
Job 2 Operation 8 on Machine 3 : 3589 + 207 -> 3796
Job 17 Operation 9 on Machine 4 : 3629 + 253 -> 3882
Job 10 Operation 9 on Machine 8 : 3629 + 252 -> 3881
Job 14 Operation 7 on Machine 0 : 3666 + 187 -> 3853
Job 16 Operation 7 on Machine 12 : 3666 + 14 -> 3680
Job 4 Operation 11 on Machine 12 : 3680 + 181 -> 3861
Job 16 Operation 8 on Machine 11 : 3704 + 182 -> 3886
Job 7 Operation 13 on Machine 2 : 3769 + 174 -> 3943
Job 5 Operation 10 on Machine 5 : 3782 + 338 -> 4120
Job 3 Operation 12 on Machine 13 : 3782 + 74 -> 3856
Job 1 Operation 8 on Machine 3 : 3796 + 127 -> 3923
Job 2 Operation 9 on Machine 9 : 3796 + 180 -> 3976
Job 14 Operation 8 on Machine 1 : 3853 + 91 -> 3944
Job 15 Operation 12 on Machine 12 : 3861 + 17 -> 3878
Job 10 Operation 10 on Machine 6 : 3881 + 81 -> 3962
Job 17 Operation 10 on Machine 0 : 3882 + 137 -> 4019
Job 18 Operation 10 on Machine 4 : 3882 + 281 -> 4163
Job 6 Operation 14 on Machine 11 : 3886 + 253 -> 4139
Job 4 Operation 12 on Machine 2 : 3943 + 248 -> 4191
Job 14 Operation 9 on Machine 3 : 3944 + 243 -> 4187
Job 2 Operation 10 on Machine 14 : 3976 + 343 -> 4319
Job 10 Operation 11 on Machine 0 : 4019 + 54 -> 4073
Job 17 Operation 11 on Machine 13 : 4019 + 129 -> 4148
Job 16 Operation 9 on Machine 0 : 4073 + 112 -> 4185
Job 5 Operation 11 on Machine 6 : 4120 + 156 -> 4276
Job 17 Operation 12 on Machine 1 : 4148 + 262 -> 4410
Job 0 Operation 11 on Machine 4 : 4163 + 108 -> 4271
Job 18 Operation 11 on Machine 12 : 4163 + 230 -> 4393
Job 16 Operation 10 on Machine 9 : 4185 + 20 -> 4205
Job 10 Operation 12 on Machine 3 : 4187 + 346 -> 4533
Job 14 Operation 10 on Machine 5 : 4187 + 37 -> 4224
Job 16 Operation 11 on Machine 10 : 4205 + 56 -> 4261
Job 14 Operation 11 on Machine 2 : 4224 + 216 -> 4440
Job 1 Operation 9 on Machine 4 : 4271 + 39 -> 4310
Job 15 Operation 13 on Machine 4 : 4310 + 159 -> 4469
Job 1 Operation 10 on Machine 11 : 4310 + 181 -> 4491
Job 2 Operation 11 on Machine 10 : 4319 + 134 -> 4453
Job 16 Operation 12 on Machine 14 : 4319 + 59 -> 4378
Job 11 Operation 11 on Machine 14 : 4378 + 225 -> 4603
Job 18 Operation 12 on Machine 6 : 4393 + 138 -> 4531
Job 8 Operation 14 on Machine 1 : 4410 + 300 -> 4710
Job 17 Operation 13 on Machine 12 : 4410 + 118 -> 4528
Job 0 Operation 12 on Machine 2 : 4440 + 99 -> 4539
Job 14 Operation 12 on Machine 8 : 4440 + 119 -> 4559
Job 3 Operation 13 on Machine 4 : 4469 + 335 -> 4804
Job 17 Operation 14 on Machine 5 : 4528 + 208 -> 4736
Job 2 Operation 12 on Machine 6 : 4531 + 195 -> 4726
Job 18 Operation 13 on Machine 3 : 4533 + 209 -> 4742
Job 1 Operation 11 on Machine 2 : 4539 + 33 -> 4572
Job 0 Operation 13 on Machine 10 : 4539 + 47 -> 4586
Job 1 Operation 12 on Machine 7 : 4572 + 131 -> 4703
Job 0 Operation 14 on Machine 8 : 4586 + 52 -> 4638
Job 5 Operation 12 on Machine 10 : 4586 + 167 -> 4753
Job 4 Operation 13 on Machine 14 : 4603 + 105 -> 4708
Job 16 Operation 13 on Machine 8 : 4638 + 277 -> 4915
Job 10 Operation 13 on Machine 7 : 4703 + 25 -> 4728
Job 4 Operation 14 on Machine 11 : 4708 + 315 -> 5023
Job 15 Operation 14 on Machine 14 : 4708 + 117 -> 4825
Job 1 Operation 13 on Machine 1 : 4710 + 127 -> 4837
Job 2 Operation 13 on Machine 2 : 4726 + 78 -> 4804
Job 11 Operation 12 on Machine 6 : 4726 + 10 -> 4736
Job 14 Operation 13 on Machine 6 : 4736 + 85 -> 4821
Job 11 Operation 13 on Machine 13 : 4736 + 194 -> 4930
Job 13 Operation 14 on Machine 3 : 4742 + 86 -> 4828
Job 18 Operation 14 on Machine 5 : 4742 + 345 -> 5087
Job 5 Operation 13 on Machine 9 : 4753 + 13 -> 4766
Job 3 Operation 14 on Machine 0 : 4804 + 5 -> 4809
Job 5 Operation 14 on Machine 2 : 4804 + 268 -> 5072
Job 2 Operation 14 on Machine 4 : 4804 + 232 -> 5036
Job 14 Operation 14 on Machine 10 : 4821 + 207 -> 5028
Job 7 Operation 14 on Machine 3 : 4828 + 117 -> 4945
Job 10 Operation 14 on Machine 1 : 4837 + 50 -> 4887
Job 1 Operation 14 on Machine 14 : 4837 + 136 -> 4973
Job 16 Operation 14 on Machine 6 : 4915 + 157 -> 5072
Job 11 Operation 14 on Machine 9 : 4930 + 148 -> 5078
Makespan: 5087.0, as it is the maximum end completion time of Operation 14 |
7 | 5 | Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 8 mins.
Operation 1 on Machine 4 duration 2 mins.
Operation 2 on Machine 2 duration 7 mins.
Operation 3 on Machine 0 duration 7 mins.
Operation 4 on Machine 3 duration 7 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 7 mins.
Operation 1 on Machine 0 duration 5 mins.
Operation 2 on Machine 4 duration 7 mins.
Operation 3 on Machine 3 duration 4 mins.
Operation 4 on Machine 2 duration 6 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 2 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 1 duration 5 mins.
Operation 3 on Machine 2 duration 6 mins.
Operation 4 on Machine 4 duration 3 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 3 mins.
Operation 1 on Machine 4 duration 7 mins.
Operation 2 on Machine 1 duration 8 mins.
Operation 3 on Machine 0 duration 2 mins.
Operation 4 on Machine 2 duration 8 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 2 mins.
Operation 1 on Machine 2 duration 6 mins.
Operation 2 on Machine 3 duration 8 mins.
Operation 3 on Machine 1 duration 8 mins.
Operation 4 on Machine 4 duration 2 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 7 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 3 duration 1 mins.
Operation 3 on Machine 1 duration 4 mins.
Operation 4 on Machine 2 duration 6 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 1 mins.
Operation 1 on Machine 2 duration 2 mins.
Operation 2 on Machine 1 duration 1 mins.
Operation 3 on Machine 4 duration 7 mins.
Operation 4 on Machine 3 duration 2 mins.
| Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 2 mins.
Job 6 Operation 0 duration 1 mins.
Job 1 Operation 1 duration 5 mins.
Job 2 Operation 1 duration 8 mins.
Job 5 Operation 1 duration 8 mins.
Job 0 Operation 3 duration 7 mins.
Job 3 Operation 3 duration 2 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 8 mins.
Job 1 Operation 0 duration 7 mins.
Job 2 Operation 2 duration 5 mins.
Job 3 Operation 2 duration 8 mins.
Job 6 Operation 2 duration 1 mins.
Job 4 Operation 3 duration 8 mins.
Job 5 Operation 3 duration 4 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 1 duration 6 mins.
Job 6 Operation 1 duration 2 mins.
Job 0 Operation 2 duration 7 mins.
Job 2 Operation 3 duration 6 mins.
Job 1 Operation 4 duration 6 mins.
Job 3 Operation 4 duration 8 mins.
Job 5 Operation 4 duration 6 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 2 mins.
Job 3 Operation 0 duration 3 mins.
Job 4 Operation 2 duration 8 mins.
Job 5 Operation 2 duration 1 mins.
Job 1 Operation 3 duration 4 mins.
Job 0 Operation 4 duration 7 mins.
Job 6 Operation 4 duration 2 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 7 mins.
Job 0 Operation 1 duration 2 mins.
Job 3 Operation 1 duration 7 mins.
Job 1 Operation 2 duration 7 mins.
Job 6 Operation 3 duration 7 mins.
Job 2 Operation 4 duration 3 mins.
Job 4 Operation 4 duration 2 mins.
| Solution:
Job 4 Operation 0 on Machine 0 : 0 + 2 -> 2
Job 0 Operation 0 on Machine 1 : 0 + 8 -> 8
Job 2 Operation 0 on Machine 3 : 0 + 2 -> 2
Job 5 Operation 0 on Machine 4 : 0 + 7 -> 7
Job 2 Operation 1 on Machine 0 : 2 + 8 -> 10
Job 4 Operation 1 on Machine 2 : 2 + 6 -> 8
Job 3 Operation 0 on Machine 3 : 2 + 3 -> 5
Job 1 Operation 0 on Machine 1 : 8 + 7 -> 15
Job 4 Operation 2 on Machine 3 : 8 + 8 -> 16
Job 0 Operation 1 on Machine 4 : 8 + 2 -> 10
Job 5 Operation 1 on Machine 0 : 10 + 8 -> 18
Job 0 Operation 2 on Machine 2 : 10 + 7 -> 17
Job 3 Operation 1 on Machine 4 : 10 + 7 -> 17
Job 2 Operation 2 on Machine 1 : 15 + 5 -> 20
Job 1 Operation 1 on Machine 0 : 18 + 5 -> 23
Job 5 Operation 2 on Machine 3 : 18 + 1 -> 19
Job 5 Operation 3 on Machine 1 : 20 + 4 -> 24
Job 2 Operation 3 on Machine 2 : 20 + 6 -> 26
Job 6 Operation 0 on Machine 0 : 23 + 1 -> 24
Job 1 Operation 2 on Machine 4 : 23 + 7 -> 30
Job 0 Operation 3 on Machine 0 : 24 + 7 -> 31
Job 6 Operation 1 on Machine 2 : 26 + 2 -> 28
Job 6 Operation 2 on Machine 1 : 28 + 1 -> 29
Job 5 Operation 4 on Machine 2 : 28 + 6 -> 34
Job 3 Operation 2 on Machine 1 : 29 + 8 -> 37
Job 1 Operation 3 on Machine 3 : 30 + 4 -> 34
Job 6 Operation 3 on Machine 4 : 30 + 7 -> 37
Job 1 Operation 4 on Machine 2 : 34 + 6 -> 40
Job 3 Operation 3 on Machine 0 : 37 + 2 -> 39
Job 4 Operation 3 on Machine 1 : 37 + 8 -> 45
Job 6 Operation 4 on Machine 3 : 37 + 2 -> 39
Job 2 Operation 4 on Machine 4 : 37 + 3 -> 40
Job 0 Operation 4 on Machine 3 : 39 + 7 -> 46
Job 3 Operation 4 on Machine 2 : 40 + 8 -> 48
Job 4 Operation 4 on Machine 4 : 45 + 2 -> 47
Makespan: 48.0, as it is the maximum end completion time of Operation 4 |
8 | 7 | Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 128 mins.
Operation 1 on Machine 1 duration 202 mins.
Operation 2 on Machine 2 duration 65 mins.
Operation 3 on Machine 5 duration 25 mins.
Operation 4 on Machine 6 duration 51 mins.
Operation 5 on Machine 4 duration 79 mins.
Operation 6 on Machine 3 duration 7 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 33 mins.
Operation 1 on Machine 3 duration 194 mins.
Operation 2 on Machine 2 duration 144 mins.
Operation 3 on Machine 0 duration 25 mins.
Operation 4 on Machine 1 duration 210 mins.
Operation 5 on Machine 4 duration 70 mins.
Operation 6 on Machine 6 duration 189 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 139 mins.
Operation 1 on Machine 3 duration 163 mins.
Operation 2 on Machine 2 duration 176 mins.
Operation 3 on Machine 6 duration 204 mins.
Operation 4 on Machine 5 duration 196 mins.
Operation 5 on Machine 4 duration 110 mins.
Operation 6 on Machine 0 duration 110 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 3 mins.
Operation 1 on Machine 5 duration 115 mins.
Operation 2 on Machine 4 duration 41 mins.
Operation 3 on Machine 0 duration 83 mins.
Operation 4 on Machine 3 duration 28 mins.
Operation 5 on Machine 1 duration 17 mins.
Operation 6 on Machine 6 duration 150 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 205 mins.
Operation 1 on Machine 3 duration 154 mins.
Operation 2 on Machine 1 duration 68 mins.
Operation 3 on Machine 4 duration 148 mins.
Operation 4 on Machine 2 duration 60 mins.
Operation 5 on Machine 6 duration 135 mins.
Operation 6 on Machine 5 duration 157 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 10 mins.
Operation 1 on Machine 6 duration 29 mins.
Operation 2 on Machine 3 duration 55 mins.
Operation 3 on Machine 2 duration 197 mins.
Operation 4 on Machine 5 duration 108 mins.
Operation 5 on Machine 0 duration 190 mins.
Operation 6 on Machine 4 duration 36 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 130 mins.
Operation 1 on Machine 0 duration 172 mins.
Operation 2 on Machine 1 duration 98 mins.
Operation 3 on Machine 4 duration 96 mins.
Operation 4 on Machine 2 duration 99 mins.
Operation 5 on Machine 3 duration 28 mins.
Operation 6 on Machine 6 duration 180 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 130 mins.
Operation 1 on Machine 6 duration 14 mins.
Operation 2 on Machine 1 duration 178 mins.
Operation 3 on Machine 2 duration 161 mins.
Operation 4 on Machine 4 duration 187 mins.
Operation 5 on Machine 0 duration 124 mins.
Operation 6 on Machine 5 duration 208 mins.
| Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 128 mins.
Job 4 Operation 0 duration 205 mins.
Job 6 Operation 1 duration 172 mins.
Job 1 Operation 3 duration 25 mins.
Job 3 Operation 3 duration 83 mins.
Job 5 Operation 5 duration 190 mins.
Job 7 Operation 5 duration 124 mins.
Job 2 Operation 6 duration 110 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 139 mins.
Job 5 Operation 0 duration 10 mins.
Job 0 Operation 1 duration 202 mins.
Job 4 Operation 2 duration 68 mins.
Job 6 Operation 2 duration 98 mins.
Job 7 Operation 2 duration 178 mins.
Job 1 Operation 4 duration 210 mins.
Job 3 Operation 5 duration 17 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 3 mins.
Job 0 Operation 2 duration 65 mins.
Job 1 Operation 2 duration 144 mins.
Job 2 Operation 2 duration 176 mins.
Job 5 Operation 3 duration 197 mins.
Job 7 Operation 3 duration 161 mins.
Job 4 Operation 4 duration 60 mins.
Job 6 Operation 4 duration 99 mins.
Machine 3 is used for the following Operations:
Job 7 Operation 0 duration 130 mins.
Job 1 Operation 1 duration 194 mins.
Job 2 Operation 1 duration 163 mins.
Job 4 Operation 1 duration 154 mins.
Job 5 Operation 2 duration 55 mins.
Job 3 Operation 4 duration 28 mins.
Job 6 Operation 5 duration 28 mins.
Job 0 Operation 6 duration 7 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 2 duration 41 mins.
Job 4 Operation 3 duration 148 mins.
Job 6 Operation 3 duration 96 mins.
Job 7 Operation 4 duration 187 mins.
Job 0 Operation 5 duration 79 mins.
Job 1 Operation 5 duration 70 mins.
Job 2 Operation 5 duration 110 mins.
Job 5 Operation 6 duration 36 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 33 mins.
Job 6 Operation 0 duration 130 mins.
Job 3 Operation 1 duration 115 mins.
Job 0 Operation 3 duration 25 mins.
Job 2 Operation 4 duration 196 mins.
Job 5 Operation 4 duration 108 mins.
Job 4 Operation 6 duration 157 mins.
Job 7 Operation 6 duration 208 mins.
Machine 6 is used for the following Operations:
Job 5 Operation 1 duration 29 mins.
Job 7 Operation 1 duration 14 mins.
Job 2 Operation 3 duration 204 mins.
Job 0 Operation 4 duration 51 mins.
Job 4 Operation 5 duration 135 mins.
Job 1 Operation 6 duration 189 mins.
Job 3 Operation 6 duration 150 mins.
Job 6 Operation 6 duration 180 mins.
| Solution:
Job 0 Operation 0 on Machine 0 : 0 + 128 -> 128
Job 5 Operation 0 on Machine 1 : 0 + 10 -> 10
Job 3 Operation 0 on Machine 2 : 0 + 3 -> 3
Job 6 Operation 0 on Machine 5 : 0 + 130 -> 130
Job 2 Operation 0 on Machine 1 : 10 + 139 -> 149
Job 5 Operation 1 on Machine 6 : 10 + 29 -> 39
Job 5 Operation 2 on Machine 3 : 39 + 55 -> 94
Job 5 Operation 3 on Machine 2 : 94 + 197 -> 291
Job 7 Operation 0 on Machine 3 : 94 + 130 -> 224
Job 4 Operation 0 on Machine 0 : 128 + 205 -> 333
Job 3 Operation 1 on Machine 5 : 130 + 115 -> 245
Job 0 Operation 1 on Machine 1 : 149 + 202 -> 351
Job 2 Operation 1 on Machine 3 : 224 + 163 -> 387
Job 7 Operation 1 on Machine 6 : 224 + 14 -> 238
Job 3 Operation 2 on Machine 4 : 245 + 41 -> 286
Job 1 Operation 0 on Machine 5 : 245 + 33 -> 278
Job 5 Operation 4 on Machine 5 : 291 + 108 -> 399
Job 6 Operation 1 on Machine 0 : 333 + 172 -> 505
Job 7 Operation 2 on Machine 1 : 351 + 178 -> 529
Job 0 Operation 2 on Machine 2 : 351 + 65 -> 416
Job 4 Operation 1 on Machine 3 : 387 + 154 -> 541
Job 2 Operation 2 on Machine 2 : 416 + 176 -> 592
Job 0 Operation 3 on Machine 5 : 416 + 25 -> 441
Job 0 Operation 4 on Machine 6 : 441 + 51 -> 492
Job 3 Operation 3 on Machine 0 : 505 + 83 -> 588
Job 4 Operation 2 on Machine 1 : 541 + 68 -> 609
Job 1 Operation 1 on Machine 3 : 541 + 194 -> 735
Job 5 Operation 5 on Machine 0 : 588 + 190 -> 778
Job 7 Operation 3 on Machine 2 : 592 + 161 -> 753
Job 2 Operation 3 on Machine 6 : 592 + 204 -> 796
Job 6 Operation 2 on Machine 1 : 609 + 98 -> 707
Job 4 Operation 3 on Machine 4 : 609 + 148 -> 757
Job 3 Operation 4 on Machine 3 : 735 + 28 -> 763
Job 4 Operation 4 on Machine 2 : 757 + 60 -> 817
Job 6 Operation 3 on Machine 4 : 757 + 96 -> 853
Job 3 Operation 5 on Machine 1 : 763 + 17 -> 780
Job 2 Operation 4 on Machine 5 : 796 + 196 -> 992
Job 3 Operation 6 on Machine 6 : 796 + 150 -> 946
Job 1 Operation 2 on Machine 2 : 817 + 144 -> 961
Job 7 Operation 4 on Machine 4 : 853 + 187 -> 1040
Job 4 Operation 5 on Machine 6 : 946 + 135 -> 1081
Job 1 Operation 3 on Machine 0 : 961 + 25 -> 986
Job 6 Operation 4 on Machine 2 : 961 + 99 -> 1060
Job 1 Operation 4 on Machine 1 : 986 + 210 -> 1196
Job 7 Operation 5 on Machine 0 : 1040 + 124 -> 1164
Job 2 Operation 5 on Machine 4 : 1040 + 110 -> 1150
Job 6 Operation 5 on Machine 3 : 1060 + 28 -> 1088
Job 4 Operation 6 on Machine 5 : 1081 + 157 -> 1238
Job 6 Operation 6 on Machine 6 : 1088 + 180 -> 1268
Job 5 Operation 6 on Machine 4 : 1150 + 36 -> 1186
Job 2 Operation 6 on Machine 0 : 1164 + 110 -> 1274
Job 1 Operation 5 on Machine 4 : 1196 + 70 -> 1266
Job 7 Operation 6 on Machine 5 : 1238 + 208 -> 1446
Job 0 Operation 5 on Machine 4 : 1266 + 79 -> 1345
Job 1 Operation 6 on Machine 6 : 1268 + 189 -> 1457
Job 0 Operation 6 on Machine 3 : 1345 + 7 -> 1352
Makespan: 1457.0, as it is the maximum end completion time of Operation 6 |
Subsets and Splits