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The Nonpermutation Flowshop Scheduling Problem: Adjustment and Bounding Procedures

Author

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  • Anis Gharbi
  • Mohamed Labidi
  • Mohamed Aly Louly

Abstract

We consider the makespan minimization in a flowshop environment where the job sequence does not have to be the same for all the machines. Contrarily to the classical permutation flowshop scheduling problem, this strongly NP-hard problem received very scant attention in the literature. In this paper, some improved single-machine-based adjustment procedures are proposed, and a new two-machine-based one is introduced. Based on these adjustments, new lower and upper bounding schemes are derived. Our experimental analysis shows that the proposed procedures provide promising results.

Suggested Citation

  • Anis Gharbi & Mohamed Labidi & Mohamed Aly Louly, 2014. "The Nonpermutation Flowshop Scheduling Problem: Adjustment and Bounding Procedures," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-14, November.
  • Handle: RePEc:hin:jnljam:273567
    DOI: 10.1155/2014/273567
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    Cited by:

    1. Rossit, Daniel A. & Vásquez, Óscar C. & Tohmé, Fernando & Frutos, Mariano & Safe, Martín D., 2021. "A combinatorial analysis of the permutation and non-permutation flow shop scheduling problems," European Journal of Operational Research, Elsevier, vol. 289(3), pages 841-854.

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