Abstract

The preemptive scheduling of a partially ordered set of tasks is studied. A class of scheduling heuristics is introduced, and the performance of schedules in this class is analyzed with respect to the least finishing time optimality criterion. If there are m processors, then the finishing time of any schedule in the class is at most [Formula: see text] times worse than optimal, independent of the speeds of the processors. Examples are given which indicate that there are schedules which may be as bad as [Formula: see text] times worse than optimal even for machines with one fast processor.

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