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Scheduling on Uniform Nonsimultaneous Parallel Machines

In: Operations Research Proceedings 2016

Author

Listed:
  • Liliana Grigoriu

    (Universität Siegen)

  • Donald K. Friesen

    (Texas A&M University)

Abstract

We consider the problem of scheduling on uniform processors which may not start processing at the same time with the purpose of minimizing the maximum completion time. We provide a variant of the MULTIFIT algorithm which generates schedules which end within 1.382 times the optimal maximum completion time for the general problem, and within $$\sqrt{6}/2$$ times the optimal maximum completion time for problem instances with two processors. Experimental results suggest that our algorithm is a viable option for addressing this problem in practice.

Suggested Citation

  • Liliana Grigoriu & Donald K. Friesen, 2018. "Scheduling on Uniform Nonsimultaneous Parallel Machines," Operations Research Proceedings, in: Andreas Fink & Armin Fügenschuh & Martin Josef Geiger (ed.), Operations Research Proceedings 2016, pages 467-473, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-55702-1_62
    DOI: 10.1007/978-3-319-55702-1_62
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