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Solving multi-criteria scheduling flow shop problem through compromise programming and satisfaction functions

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  • Allouche, Mohamed Anis
  • Aouni, Belaïd
  • Martel, Jean-Marc
  • Loukil, Taïcir
  • Rebaï, Abdelwaheb

Abstract

The multi-criteria scheduling problem is one of the main research subjects in the field of multiple objectives programming. Several procedures have been developed to deal with this type of problem where some conflicting criteria have to be optimized simultaneously. The aim of our paper is to propose an aggregation procedure that integrates three different criteria to find the best sequence in a flow shop production environment. The compromise programming model and the concept of satisfaction functions will be utilized to integrate explicitly the manager's preferences according to the deviations between the achievement and the aspiration levels of the following criteria: Makespan, total flow time and total tardiness.

Suggested Citation

  • Allouche, Mohamed Anis & Aouni, Belaïd & Martel, Jean-Marc & Loukil, Taïcir & Rebaï, Abdelwaheb, 2009. "Solving multi-criteria scheduling flow shop problem through compromise programming and satisfaction functions," European Journal of Operational Research, Elsevier, vol. 192(2), pages 460-467, January.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:2:p:460-467
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    References listed on IDEAS

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    1. Herbert G. Campbell & Richard A. Dudek & Milton L. Smith, 1970. "A Heuristic Algorithm for the n Job, m Machine Sequencing Problem," Management Science, INFORMS, vol. 16(10), pages 630-637, June.
    2. Gupta, Jatinder N. D. & Neppalli, Venkata R. & Werner, Frank, 2001. "Minimizing total flow time in a two-machine flowshop problem with minimum makespan," International Journal of Production Economics, Elsevier, vol. 69(3), pages 323-338, February.
    3. Van Wassenhove, Luc N. & Gelders, Ludo F., 1980. "Solving a bicriterion scheduling problem," European Journal of Operational Research, Elsevier, vol. 4(1), pages 42-48, January.
    4. Loukil, T. & Teghem, J. & Tuyttens, D., 2005. "Solving multi-objective production scheduling problems using metaheuristics," European Journal of Operational Research, Elsevier, vol. 161(1), pages 42-61, February.
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    Citations

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    Cited by:

    1. Yenisey, Mehmet Mutlu & Yagmahan, Betul, 2014. "Multi-objective permutation flow shop scheduling problem: Literature review, classification and current trends," Omega, Elsevier, vol. 45(C), pages 119-135.
    2. Büsing, Christina & Goetzmann, Kai-Simon & Matuschke, Jannik & Stiller, Sebastian, 2017. "Reference points and approximation algorithms in multicriteria discrete optimization," European Journal of Operational Research, Elsevier, vol. 260(3), pages 829-840.

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