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Nouvelle caractérisation des solutions efficaces des problèmes d’optimisation combinatoire multi-objectif
[New characterization of efficient solution in multi-objective combinatorial optimization]

Author

Listed:
  • Okitonyumbe Y.F., Joseph
  • Ulungu, Berthold E.-L.
Abstract
Résume : Les méthodes de résolution d’un problème d’optimisation combinatoire multi-objectif sont classées en méthodes exactes et métaheuristiques. Cette dernière classe est plus compétitive que la première, permettant de résoudre des problèmes de plus grande taille. Mais la mise en application de ces méthodes exactes et métaheuristiques pose deux problèmes, à savoir : la caractérisation des solutions efficaces et les règles d’acceptation d’un système de voisinages. Le présent article essai d’apporter une contribution à la première préoccupation. Abstract : Methods for solving multi-objective combinatorial optimization problems are classified in two categories indeed exact and metaheuristics methods. The latter class is more competitive than the first, for solving larger problems, But the implementation of these exacts and metaheuristics methods presents two inherent difficulties namely the characterization of efficient solutions and acceptance rules for neighborhoods system. This article tackles the first problem.

Suggested Citation

  • Okitonyumbe Y.F., Joseph & Ulungu, Berthold E.-L., 2013. "Nouvelle caractérisation des solutions efficaces des problèmes d’optimisation combinatoire multi-objectif [New characterization of efficient solution in multi-objective combinatorial optimization]," MPRA Paper 66123, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:66123
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    File URL: https://mpra.ub.uni-muenchen.de/66123/1/MPRA_paper_66123.pdf
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    References listed on IDEAS

    as
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    4. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(3), pages 427-432, June.
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    More about this item

    Keywords

    Mots clés : Ensemble des solutions efficaces (supportées et non); Espace de décisions; Espace des objectifs; Optimisation combinatoire multi-objectif. KEY WORDS : Decision space; Set of efficient solution (supported or non-supported); Multi-objective combinatorial optimization; Objective space.;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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