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Minimizing maximum lateness in a flow shop subject to release dates

Author

Listed:
  • M Haouari

    (Ecole Polytechnique de Tunisie)

  • T Ladhari

    (Ecole Polytechnique de Tunisie
    Ecole Supérieure des Sciences Economiques et Commerciales)

Abstract

We consider the problem of minimizing the maximum lateness in a m-machine flow shop subject to release dates. The objective of this paper is to develop a new branch-and-bound algorithm to solve exactly this strongly NP-hard problem. The proposed branch-and-bound algorithm encompasses several features including a procedure for adjusting heads and tails, heuristics, and a lower bounding procedure, which is based on the exact solution of the two-machine flow shop problem with time lags, ready times, and delivery times. Extensive computational experiments show that instances with up to 6000 operations can be solved exactly in a moderate CPU time.

Suggested Citation

  • M Haouari & T Ladhari, 2007. "Minimizing maximum lateness in a flow shop subject to release dates," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 62-72, January.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:1:d:10.1057_palgrave.jors.2602092
    DOI: 10.1057/palgrave.jors.2602092
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    References listed on IDEAS

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    1. C. N. Potts, 1985. "Analysis of Heuristics for Two-Machine Flow-Shop Sequencing Subject to Release Dates," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 576-584, November.
    2. M Haouari & T Ladhari, 2000. "Minimising maximum lateness in a two-machine flowshop," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(9), pages 1100-1106, September.
    3. Leslie A. Hall, 1994. "A Polynomial Approximation Scheme for a Constrained Flow-Shop Scheduling Problem," Mathematics of Operations Research, INFORMS, vol. 19(1), pages 68-85, February.
    4. Cheng, Jinliang & Steiner, George & Stephenson, Paul, 2001. "A computational study with a new algorithm for the three-machine permutation flow-shop problem with release times," European Journal of Operational Research, Elsevier, vol. 130(3), pages 559-575, May.
    5. Carlier, Jacques & Rebai, Ismail, 1996. "Two branch and bound algorithms for the permutation flow shop problem," European Journal of Operational Research, Elsevier, vol. 90(2), pages 238-251, April.
    6. Carlier, Jacques, 1987. "Scheduling jobs with release dates and tails on identical machines to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 29(3), pages 298-306, June.
    7. Potts, C. N., 1980. "An adaptive branching rule for the permutation flow-shop problem," European Journal of Operational Research, Elsevier, vol. 5(1), pages 19-25, July.
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