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Preemptive scheduling with rejection

Hoogeveen, Han; Skutella, Martin; Woeginger, Gerhard J.

Inst. Mathematik

We consider the problem of preemptively scheduling a set of n jobs on m (identical, uniformly related, or unrelated) parallel machines. The scheduler may reject a subset of the jobs and thereby incur job-dependent penalties for each rejected job, and he must construct a schedule for the remaining jobs so as to optimize the preemptive makespan on the m machines plus the sum of the penalties of the jobs rejected.