Flots entiers et multiflots fractionnaires couplés par une contrainte de capacité

Quilliot, Alain; Bendali, Fatiha; Mailfert, Jean

doi:10.1051/ro:2006003

Quilliot, Alain ; Bendali, Fatiha ; Mailfert, Jean

RAIRO - Operations Research - Recherche Opérationnelle, Tome 39 (2005) no. 3, pp. 185-224.

Résumé
Abstract

Nous modélisons ici plusieurs problèmes de Transport et de Gestion de Flux à l'aide d'un flot entier et d'un multiflot fractionnaire couplés par une contrainte de capacité. Pour le problème ainsi obtenu, nous proposons différents schémas de résolution par relaxation et décomposition, qui induisent la recherche d'un flot auxiliaire dont la partie entière supérieure doit minimiser un certain coût, et qui requièrent la mise en œuvre d'un processus d'agrégation. Nous en déduisons diverses heuristiques que nous testons.

We present here a Flow/Multicommodity Flow model for Transportation and Production Planning problems. We deal with this model through Lagrangean Relaxation and Hierarchical Decomposition techniques, which involve the resolution of a specific flow with least integral cost sub-problem, and which require the design of some agregation process. We deduce from this analysis several heuristic schemes, and we conclude by discussing numerical experiments.

MR Zbl

DOI : 10.1051/ro:2006003

Classification : 90C25
Mots clés : flots, multiflots, circuits négatifs, routage, transport

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     author = {Quilliot, Alain and Bendali, Fatiha and Mailfert, Jean},
     title = {Flots entiers et multiflots fractionnaires coupl\'es par une contrainte de capacit\'e},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {185--224},
     publisher = {EDP-Sciences},
     volume = {39},
     number = {3},
     year = {2005},
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     mrnumber = {2205670},
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     url = {http://www.numdam.org/articles/10.1051/ro:2006003/}
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Quilliot, Alain; Bendali, Fatiha; Mailfert, Jean. Flots entiers et multiflots fractionnaires couplés par une contrainte de capacité. RAIRO - Operations Research - Recherche Opérationnelle, Tome 39 (2005) no. 3, pp. 185-224. doi : 10.1051/ro:2006003. http://www.numdam.org/articles/10.1051/ro:2006003/

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