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Exact method for the two-machine flow-shop problem with time delays

Author

Listed:
  • Mohamed Amine Mkadem

    (Université de technologie de Compiègne - CS 60319)

  • Aziz Moukrim

    (Université de technologie de Compiègne - CS 60319)

  • Mehdi Serairi

    (Université de technologie de Compiègne - CS 60319)

Abstract

We address the two-machine flow-shop scheduling problem with time delays in order to minimize the makespan, i.e., the maximum completion time. We present a comprehensive theoretical analysis of the different lower bounds of the state of the art and we elucidate dominance relationships between them. We then introduce an exact method based on a branch-and-bound scheme. This method includes a local search-based heuristic and three dominance rules. Finally, a computer simulation of the branch-and-bound method is given on a set of 480 instances. We point out the good performance of our branch-and-bound method that outperforms the state of the art exact method. Precisely, we manage to solve all the state of the art instances except one in a very short time.

Suggested Citation

  • Mohamed Amine Mkadem & Aziz Moukrim & Mehdi Serairi, 2021. "Exact method for the two-machine flow-shop problem with time delays," Annals of Operations Research, Springer, vol. 298(1), pages 375-406, March.
    • Handle: RePEc:spr:annopr:v:298:y:2021:i:1:d:10.1007_s10479-018-3082-x
    DOI: 10.1007/s10479-018-3082-x
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    References listed on IDEAS

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    2. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
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    4. Mohamed Amine Mkadem & Aziz Moukrim & Mehdi Serairi, 2018. "Lower Bounds for the Two-Machine Flow Shop Problem with Time Delays," Operations Research Proceedings, in: Andreas Fink & Armin Fügenschuh & Martin Josef Geiger (ed.), Operations Research Proceedings 2016, pages 527-533, Springer.
    5. Hamilton Emmons & George Vairaktarakis, 2013. "Flow Shop Scheduling," International Series in Operations Research and Management Science, Springer, edition 127, number 978-1-4614-5152-5, December.
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