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Operational fixed interval scheduling problem on uniform parallel machines

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  • Bekki, Özgün BarIs
  • Azizoglu, Meral

Abstract

In this study, we address an operational fixed interval scheduling problem on uniform parallel machines. Our objective is to maximize the total weight of the jobs processed. We show that the problem is NP-hard in the strong sense and develop polynomial time algorithms for some special cases. We propose a branch and bound algorithm that employs dominance conditions and tight bounds. The results of our computational tests have revealed that the algorithm returns optimal solutions for problem instances with up to 70 jobs very quickly.

Suggested Citation

  • Bekki, Özgün BarIs & Azizoglu, Meral, 2008. "Operational fixed interval scheduling problem on uniform parallel machines," International Journal of Production Economics, Elsevier, vol. 112(2), pages 756-768, April.
    • Handle: RePEc:eee:proeco:v:112:y:2008:i:2:p:756-768
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    References listed on IDEAS

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    1. Matteo Fischetti & Silvano Martello & Paolo Toth, 1989. "The Fixed Job Schedule Problem with Working-Time Constraints," Operations Research, INFORMS, vol. 37(3), pages 395-403, June.
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    4. Kovalyov, Mikhail Y. & Ng, C.T. & Cheng, T.C. Edwin, 2007. "Fixed interval scheduling: Models, applications, computational complexity and algorithms," European Journal of Operational Research, Elsevier, vol. 178(2), pages 331-342, April.
    5. Matteo Fischetti & Silvano Martello & Paolo Toth, 1987. "The Fixed Job Schedule Problem with Spread-Time Constraints," Operations Research, INFORMS, vol. 35(6), pages 849-858, December.
    6. Matteo Fischetti & Silvano Martello & Paolo Toth, 1992. "Approximation Algorithms for Fixed Job Schedule Problems," Operations Research, INFORMS, vol. 40(1-supplem), pages 96-108, February.
    7. Kroon, Leo G. & Salomon, Marc & Van Wassenhove, Luk N., 1995. "Exact and approximation algorithms for the operational fixed interval scheduling problem," European Journal of Operational Research, Elsevier, vol. 82(1), pages 190-205, April.
    8. William J. Wolfe & Stephen E. Sorensen, 2000. "Three Scheduling Algorithms Applied to the Earth Observing Systems Domain," Management Science, INFORMS, vol. 46(1), pages 148-166, January.
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    Cited by:

    1. Eliiyi, Deniz Türsel & Ornek, Arslan & Karakütük, SadIk Serhat, 2009. "A vehicle scheduling problem with fixed trips and time limitations," International Journal of Production Economics, Elsevier, vol. 117(1), pages 150-161, January.
    2. Türsel Eliiyi, Deniz & Azizoglu, Meral, 2011. "Heuristics for operational fixed job scheduling problems with working and spread time constraints," International Journal of Production Economics, Elsevier, vol. 132(1), pages 107-121, July.
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