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A branch-and-bound-based local search method for the flow shop problem

Author

Listed:
  • M Haouari

    (Ecole Polytechnique de Tunisie)

  • T Ladhari

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

Abstract

It is well-known that exact branch and bound methods can only solve small or moderately sized đť’©đť’«-hard combinatorial optimization problems. In this paper, we address the issue of embedding an approximate branch and bound algorithm into a local search framework. The resulting heuristic has been applied to the problem of finding a minimum makespan in the permutation flow shop problem. Computational experiments carried out on a large set of benchmark problems show that the proposed method consistently yields optimal or near-optimal solutions for instances with up to 200 jobs and 10 machines. In particular, for 19 instances, the heuristic produces solutions that outperform the best known ones.

Suggested Citation

  • M Haouari & T Ladhari, 2003. "A branch-and-bound-based local search method for the flow shop problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(10), pages 1076-1084, October.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:10:d:10.1057_palgrave.jors.2601612
    DOI: 10.1057/palgrave.jors.2601612
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    References listed on IDEAS

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    Cited by:

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    2. 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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