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Résolution de problèmes d'optimisation combinatoire mono et multi-objectifs par énumération ordonnée

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Listed:
  • Vanderpooten, Daniel

Author

Listed:
  • Belhoul, Lyes

Abstract

Our aim in this thesis is to propose efficient algorithms for solving difficult combinatorial optimization problems. Our algorithms are based on a generic method of ordered enumeration. Initially, we describe the principle of ordered enumeration which consists in generating in a specific order solutions of a relaxed problem associated to the difficult main problem, until meeting a proof of the optimality of a feasible solution. We construct a generic procedure in the general context of combinatorial optimization problems. In a second step we discuss applications of our algorithm on some difficult problems which admit the assignment problem as relaxation. The first special case we study is the search for a compromise solution to the multiobjective assignment problem. The second application is the asymmetric travelling salesman problem, which contains sub-tour constraints in addition to the constraints of the assignment problem.

Suggested Citation

  • Belhoul, Lyes, 2014. "Résolution de problèmes d'optimisation combinatoire mono et multi-objectifs par énumération ordonnée," Economics Thesis from University Paris Dauphine, Paris Dauphine University, number 123456789/14672 edited by Vanderpooten, Daniel.
    • Handle: RePEc:dau:thesis:123456789/14672
    Note: dissertation
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    References listed on IDEAS

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    More about this item

    Keywords

    Énumération ordonnée; Branch and Bound; Problèmes d’optimisation combinatoire mono et multi-Objectifs; Problème d’affectation; Problème du voyageur de commerce asymétrique; Ordered Enumeration; Mono and Multi-Objective Combinatorial Optimization Problems; Assignment Problem; Asymmetric Travelling Salesman Problem;
    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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