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Choquet integral for criteria aggregation in the flexible job-shop scheduling problems

Author

Listed:
  • Saad, Ihsen
  • Hammadi, Slim
  • Benrejeb, Mohamed
  • Borne, Pierre

Abstract

Most complex scheduling problems are combinatorial problems and difficult to solve. That is why, several methods focus on the optimization according to a single criterion such as makespan, workloads of machines, waiting times, etc. In this paper, the Choquet integral is introduced as a general tool for dealing with multiple criteria decision making and used in optimization flexible job-shop scheduling problems. The considered optimization problem is based of the Genetic Algorithm (GA) used as objective function the Choquet integral for criteria aggregation. Then lower bounds are defined for each criterion. Presented examples illustrate theoretical considerations and show the efficiency of the proposed approach.

Suggested Citation

  • Saad, Ihsen & Hammadi, Slim & Benrejeb, Mohamed & Borne, Pierre, 2008. "Choquet integral for criteria aggregation in the flexible job-shop scheduling problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(5), pages 447-462.
    • Handle: RePEc:eee:matcom:v:76:y:2008:i:5:p:447-462
    DOI: 10.1016/j.matcom.2007.04.010
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    References listed on IDEAS

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    1. Kacem, Imed & Hammadi, Slim & Borne, Pierre, 2002. "Pareto-optimality approach for flexible job-shop scheduling problems: hybridization of evolutionary algorithms and fuzzy logic," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 60(3), pages 245-276.
    2. Grabisch, Michel, 1996. "The application of fuzzy integrals in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 89(3), pages 445-456, March.
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    Cited by:

    1. Gheisariha, Elmira & Tavana, Madjid & Jolai, Fariborz & Rabiee, Meysam, 2021. "A simulation–optimization model for solving flexible flow shop scheduling problems with rework and transportation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 152-178.
    2. Baykasoglu, Adil & ÖzbakIr, Lale, 2010. "Analyzing the effect of dispatching rules on the scheduling performance through grammar based flexible scheduling system," International Journal of Production Economics, Elsevier, vol. 124(2), pages 369-381, April.

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