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Minimizing makespan in re-entrant permutation flow-shops

Author

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  • JC-H Pan

    (National Taiwan University of Science and Technology)

  • J-S Chen

    (Far East College)

Abstract

A re-entrant flow-shop (RFS) describes situations in which every job must be processed on machines in the order of M1, M2, …, M m , M1, M2, …,M m , …, and M1, M2, …,M m . In this case, every job can be decomposed into L levels and each level starts on M1, and finishes on M m . In a RFS case, if the job ordering is the same on any machine at each level, then it is said that no passing is allowed since any job is not allowed to pass any previous job. The RFS scheduling problem where no passing is allowed is called the re-entrant permutation flow-shop (RPFS) problem. This paper proposes three extended mixed BIP formulations and six extended effective heuristics for solving RPFS scheduling problems to minimize makespan.

Suggested Citation

  • JC-H Pan & J-S Chen, 2003. "Minimizing makespan in re-entrant permutation flow-shops," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 642-653, June.
  • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:6:d:10.1057_palgrave.jors.2601556
    DOI: 10.1057/palgrave.jors.2601556
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    References listed on IDEAS

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    Cited by:

    1. S-W Choi & Y-D Kim, 2007. "Minimizing makespan on a two-machine re-entrant flowshop," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 972-981, July.
    2. Choi, Seong-Woo & Kim, Yeong-Dae, 2009. "Minimizing total tardiness on a two-machine re-entrant flowshop," European Journal of Operational Research, Elsevier, vol. 199(2), pages 375-384, December.
    3. Chettha Chamnanlor & Kanchana Sethanan & Mitsuo Gen & Chen-Fu Chien, 2017. "Embedding ant system in genetic algorithm for re-entrant hybrid flow shop scheduling problems with time window constraints," Journal of Intelligent Manufacturing, Springer, vol. 28(8), pages 1915-1931, December.
    4. W Q Huang & L Wang, 2006. "A local search method for permutation flow shop scheduling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1248-1251, October.

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