Two NP-Hardness Results for Preemptive Minsum Scheduling of Unrelated Parallel Machines

  • Authors:
  • René Sitters

  • Affiliations:
  • -

  • Venue:
  • Proceedings of the 8th International IPCO Conference on Integer Programming and Combinatorial Optimization
  • Year:
  • 2001

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Abstract

We show that the problems of minimizing total completion time and of minimizing the number of late jobs on unrelated parallel machines, when preemption is allowed, are both NP-hard in the strong sense. The former result settles a long-standing open question.