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Permutation flowshop scheduling problems with time lags to minimize the weighted sum of machine completion times

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  • Fondrevelle, J.
  • Oulamara, A.
  • Portmann, M.-C.

Abstract

In this article, we consider flowshop scheduling problems with minimal and maximal time lag constraints. Such constraints extend precedence constraints between operations in the jobs and may be used to model various industrial applications. The objective is to minimize a non-classical criterion based on the weighted sum of machine completion times. We show that it generalizes makespan and we derive several complexity results for two- and three-machine problems. An exact algorithm based on a branch-and-bound procedure is developed to solve the permutation flowshop problem with m machines.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:112:y:2008:i:1:p:168-176
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    References listed on IDEAS

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    1. Heilmann, Roland, 2003. "A branch-and-bound procedure for the multi-mode resource-constrained project scheduling problem with minimum and maximum time lags," European Journal of Operational Research, Elsevier, vol. 144(2), pages 348-365, January.
    2. Edward Ignall & Linus Schrage, 1965. "Application of the Branch and Bound Technique to Some Flow-Shop Scheduling Problems," Operations Research, INFORMS, vol. 13(3), pages 400-412, June.
    3. P. C. Gilmore & R. E. Gomory, 1964. "Sequencing a One State-Variable Machine: A Solvable Case of the Traveling Salesman Problem," Operations Research, INFORMS, vol. 12(5), pages 655-679, October.
    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. 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.
    2. Ruiz-Torres, Alex J. & Ho, Johnny C. & Ablanedo-Rosas, José H., 2011. "Makespan and workstation utilization minimization in a flowshop with operations flexibility," Omega, Elsevier, vol. 39(3), pages 273-282, June.
    3. E. Dhouib & J. Teghem & T. Loukil, 2018. "Non-permutation flowshop scheduling problem with minimal and maximal time lags: theoretical study and heuristic," Annals of Operations Research, Springer, vol. 267(1), pages 101-134, August.

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