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The two-machine flowshop scheduling problem with sequence-independent setup times: New lower bounding strategies

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  • Gharbi, Anis
  • Ladhari, Talel
  • Msakni, Mohamed Kais
  • Serairi, Mehdi

Abstract

The two-machine flowshop environment with sequence-independent setup times has been intensely investigated both from theoretical and practical perspectives in the scheduling literature. Nevertheless, very scant attention has been devoted to deriving effective lower bounding strategies. In this paper, we propose new lower bounds for the total completion time minimization criterion. These bounds are based on three relaxation schemes, namely the waiting time-based relaxation scheme, the single machine-based relaxation scheme, and the Lagrangian relaxation scheme. Extensive computational study carried on instances with up to 500 jobs reveals that embedding the waiting time-based bounding strategy within the Lagrangian relaxation framework yields the best performance while requiring negligible CPU time.

Suggested Citation

  • Gharbi, Anis & Ladhari, Talel & Msakni, Mohamed Kais & Serairi, Mehdi, 2013. "The two-machine flowshop scheduling problem with sequence-independent setup times: New lower bounding strategies," European Journal of Operational Research, Elsevier, vol. 231(1), pages 69-78.
    • Handle: RePEc:eee:ejores:v:231:y:2013:i:1:p:69-78
    DOI: 10.1016/j.ejor.2013.05.031
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    References listed on IDEAS

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    Cited by:

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    3. Detienne, Boris & Sadykov, Ruslan & Tanaka, Shunji, 2016. "The two-machine flowshop total completion time problem: Branch-and-bound algorithms based on network-flow formulation," European Journal of Operational Research, Elsevier, vol. 252(3), pages 750-760.
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    5. Sioud, A. & Gagné, C., 2018. "Enhanced migrating birds optimization algorithm for the permutation flow shop problem with sequence dependent setup times," European Journal of Operational Research, Elsevier, vol. 264(1), pages 66-73.
    6. Mansouri, S. Afshin & Aktas, Emel & Besikci, Umut, 2016. "Green scheduling of a two-machine flowshop: Trade-off between makespan and energy consumption," European Journal of Operational Research, Elsevier, vol. 248(3), pages 772-788.

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