Integrality Property in Preemptive Parallel Machine Scheduling

  title={Integrality Property in Preemptive Parallel Machine Scheduling},
  author={Philippe Baptiste and Jacques Carlier and Alexander V. Kononov and Maurice Queyranne and Sergey Sevastyanov and Maxim Sviridenko},
We consider parallel machine scheduling problems with identical machines and preemption allowed. It is shown that every such problem with chain precedence constraints and release dates and an integer-concave objective function satisfies the following integrality property : for any problem instance with integral data there exists an optimal schedule where all interruptions occur at integral dates. As a straightforward consequence of this result, for a wide class of scheduling problems with unit… 
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