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A penalty-based heuristic algorithm for the permutation flowshop scheduling problem with sequence-dependent set-up times

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  • F T Tseng

    (The University of Alabama in Huntsville)

  • J N D Gupta

    (The University of Alabama in Huntsville)

  • E F Stafford

    (The University of Alabama in Huntsville)

Abstract

This paper considers the permutation flowshop scheduling problem with sequence-dependent set-up times and develops a penalty-based heuristic algorithm to find an approximately minimum makespan schedule. The proposed algorithm determines the penalty in time associated with a particular sequence and selects the sequence with the minimum time penalty as the best heuristic solution. Computational results comparing the effectiveness and efficiency of the proposed penalty-based heuristic algorithm with an existing savings index heuristic algorithm are reported and discussed.

Suggested Citation

  • F T Tseng & J N D Gupta & E F Stafford, 2006. "A penalty-based heuristic algorithm for the permutation flowshop scheduling problem with sequence-dependent set-up times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(5), pages 541-551, May.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:5:d:10.1057_palgrave.jors.2602020
    DOI: 10.1057/palgrave.jors.2602020
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    References listed on IDEAS

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    1. David G. Dannenbring, 1977. "An Evaluation of Flow Shop Sequencing Heuristics," Management Science, INFORMS, vol. 23(11), pages 1174-1182, July.
    2. Herbert G. Campbell & Richard A. Dudek & Milton L. Smith, 1970. "A Heuristic Algorithm for the n Job, m Machine Sequencing Problem," Management Science, INFORMS, vol. 16(10), pages 630-637, June.
    3. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.
    4. Ruiz, Ruben & Maroto, Concepcion & Alcaraz, Javier, 2005. "Solving the flowshop scheduling problem with sequence dependent setup times using advanced metaheuristics," European Journal of Operational Research, Elsevier, vol. 165(1), pages 34-54, August.
    5. S R Das & J N D Gupta & B M Khumawala, 2004. "Erratum: A savings index heuristic algorithm for flowshop scheduling with sequence-dependent setup times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1369-1369, December.
    6. Gupta, Jatinder N. D. & Darrow, William P., 1986. "The two-machine sequence dependent flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 24(3), pages 439-446, March.
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    Cited by:

    1. Drótos, Márton & Erdos, Gábor & Kis, Tamás, 2009. "Computing lower and upper bounds for a large-scale industrial job shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 197(1), pages 296-306, August.
    2. Yunhe Wang & Xiangtao Li & Zhiqiang Ma, 2017. "A Hybrid Local Search Algorithm for the Sequence Dependent Setup Times Flowshop Scheduling Problem with Makespan Criterion," Sustainability, MDPI, vol. 9(12), pages 1-35, December.
    3. R Bhatnagar & V Saddikuti, 2010. "Models for cellular manufacturing systems design: matching processing requirements and operator capabilities," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 827-839, May.

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