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Two-machine flowshop scheduling problem with coupled-operations

Author

Listed:
  • Nadjat Meziani

    (Abderrahmane Mira University
    University of Sciences and Technology Houari Boumediene (USTHB))

  • Ammar Oulamara

    (University of Lorraine)

  • Mourad Boudhar

    (University of Sciences and Technology Houari Boumediene (USTHB))

Abstract

This paper addresses a generalization of the coupled-operations scheduling problem in the context of a flow shop environment. We consider the two-machine scheduling problem with the objective of minimizing the makespan. Each job consists of a coupled-operation to be processed first on the first machine and a single operation to be then processed on the second machine. A coupled-operation contains two operations separated by an exact time delay. The single operation can start on the second machine only when the coupled-operation on the first machine is completed. We prove the NP-completeness of two restricted versions of the general problem, whereas we also exhibit several other well solvable cases.

Suggested Citation

  • Nadjat Meziani & Ammar Oulamara & Mourad Boudhar, 2019. "Two-machine flowshop scheduling problem with coupled-operations," Annals of Operations Research, Springer, vol. 275(2), pages 511-530, April.
    • Handle: RePEc:spr:annopr:v:275:y:2019:i:2:d:10.1007_s10479-018-2967-z
    DOI: 10.1007/s10479-018-2967-z
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    References listed on IDEAS

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    1. Roy D. Shapiro, 1980. "Scheduling coupled tasks," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(3), pages 489-498, September.
    2. Dino Ahr & József Békési & Gábor Galambos & Marcus Oswald & Gerhard Reinelt, 2004. "An exact algorithm for scheduling identical coupled tasks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(2), pages 193-203, June.
    3. S. M. Johnson, 1954. "Optimal two‐ and three‐stage production schedules with setup times included," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(1), pages 61-68, March.
    4. Fondrevelle, J. & Oulamara, A. & Portmann, M.-C., 2008. "Permutation flowshop scheduling problems with time lags to minimize the weighted sum of machine completion times," International Journal of Production Economics, Elsevier, vol. 112(1), pages 168-176, March.
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    Cited by:

    1. Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2020. "Coupled task scheduling with exact delays: Literature review and models," European Journal of Operational Research, Elsevier, vol. 282(1), pages 19-39.
    2. Said Aqil & Karam Allali, 2021. "On a bi-criteria flow shop scheduling problem under constraints of blocking and sequence dependent setup time," Annals of Operations Research, Springer, vol. 296(1), pages 615-637, January.

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