Scheduling with semaphore constraints

  • Authors:
  • Errol L. Lloyd

  • Affiliations:
  • Department of Computer Science, University of Pittsburgh, 322 Alumni Hall, Pittsburgh, PA 15260, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1987

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Abstract

In this paper we consider task systems with semaphore constraints, a generalization of the standard deterministic scheduling model that allows a broad class of task dependencies. We show that minimum length scheduling of task systems with semaphore constraints is NP-complete on two processors even when the tasks have identical execution times. In addition, we provide a linear time algorithm for determining the consistency of a task system with semaphore constraints.