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Chain-reentrant shop with an exact time lag: new results

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  • Karim Amrouche
  • Mourad Boudhar
  • Mohamed Bendraouche
  • Farouk Yalaoui

Abstract

The two-machine chain-reentrant shop scheduling with the objective of minimizing the makespan, assumes that the tasks pass from the first machine to the second and return back to the first machine. In this paper, we consider the same problem in which an exact time lag between the two operations on the first machine is imposed. In Amrouche and Boudhar (2016) the authors proved that this problem is NP-hard in the strong sense in the case of identical time lags lj=L$ l_j=L $. We propose heuristic algorithms with empirical results for the latter. In addition, we establish a new NP-hardness result and some polynomial cases.

Suggested Citation

  • Karim Amrouche & Mourad Boudhar & Mohamed Bendraouche & Farouk Yalaoui, 2017. "Chain-reentrant shop with an exact time lag: new results," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 285-295, January.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:1:p:285-295
    DOI: 10.1080/00207543.2016.1205235
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    References listed on IDEAS

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    1. Lev, V. & Adiri, I., 1984. "V-shop scheduling," European Journal of Operational Research, Elsevier, vol. 18(1), pages 51-56, October.
    2. M. Y. Wang & S. P. Sethi & S. L. van de Velde, 1997. "Minimizing Makespan in a Class of Reentrant Shops," Operations Research, INFORMS, vol. 45(5), pages 702-712, October.
    3. 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.
    4. L. G. Mitten, 1959. "Sequencing n Jobs on Two Machines with Arbitrary Time Lags," Management Science, INFORMS, vol. 5(3), pages 293-298, April.
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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.

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