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Minimizing the number of machines for scheduling jobs with equal processing times

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  • Kravchenko, Svetlana A.
  • Werner, Frank

Abstract

In this paper, we consider a parallel machine environment when all jobs have the same processing time and arbitrary release dates and deadlines of the jobs are given. We suppose that the available number of machines, which can be used simultaneously, may vary over time. The aim is to construct a feasible schedule in such a way that the maximal number of simultaneously used machines is minimal. We give a polynomial algorithm for this problem.

Suggested Citation

  • Kravchenko, Svetlana A. & Werner, Frank, 2009. "Minimizing the number of machines for scheduling jobs with equal processing times," European Journal of Operational Research, Elsevier, vol. 199(2), pages 595-600, December.
    • Handle: RePEc:eee:ejores:v:199:y:2009:i:2:p:595-600
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    References listed on IDEAS

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    1. Leo G. Kroon & Marc Salomon & Luk N. Van Wassenhove, 1997. "Exact and Approximation Algorithms for the Tactical Fixed Interval Scheduling Problem," Operations Research, INFORMS, vol. 45(4), pages 624-638, August.
    2. A. Moukrim, 1999. "On the minimum number of processors for scheduling problems with communicationdelays," Annals of Operations Research, Springer, vol. 86(0), pages 455-472, January.
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    Cited by:

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    2. Shi, Yuhui & Reich, Daniel & Epelman, Marina & Klampfl, Erica & Cohn, Amy, 2017. "An analytical approach to prototype vehicle test scheduling," Omega, Elsevier, vol. 67(C), pages 168-176.

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