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Ideal Two-Machine Schedules of Jobs with Unit-Execution-Time Operations: An Extended Abstract

Ideal schedules minimize both maximum completion time and total completion time of jobs. This paper presents polynomial-time algorithms finding ideal nonpreemptive and preemptive two-machine schedules of jobs with arbitrary release dates and precedence constraints and unit-execution-time operations on identical parallel machines, in a flow shop and an open shop. Heretofore, the complexity status of these problems has been unknown.