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An Ant Colony Optimization Algorithm for Scheduling Parallel Machines with Sequence-Dependent Setup Costs

The paper addresses the problem of scheduling preemptive jobs on parallel unrelated machines in the presence of renewable resource constraints and sequence-dependent setup costs. The objective is to minimize the weighted sum of makespan and setups. The problem is known to be NP-hard. To solve this problem, a heuristic is proposed which uses column generation technique and an ant colony optimization algorithm. The results of a computational experiment indicate that the heuristic is able to produce good results in reasonable computation time.