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Flots entiers et multiflots fractionnaires couplés par une contrainte de capacité

Published online by Cambridge University Press:  25 January 2006

Alain Quilliot ,
Fatiha Bendali  and
Jean Mailfert
Alain Quilliot
Affiliation:
Bât. ISIMA, BP 125, Campus des Cézeaux, Université Blaise Pascal, 63173 Aubiere, France ; [email protected]
Fatiha Bendali
Affiliation:
Bât. ISIMA, BP 125, Campus des Cézeaux, Université Blaise Pascal, 63173 Aubiere, France ; [email protected]
Jean Mailfert
Affiliation:
Bât. ISIMA, BP 125, Campus des Cézeaux, Université Blaise Pascal, 63173 Aubiere, France ; [email protected]
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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.

Keywords

FlotsMultiflotsCircuits NégatifsRoutageTransport.
Type
Research Article
Information
RAIRO - Operations Research , Volume 39 , Issue 3 , July 2005 , pp. 185 - 224
Copyright
© EDP Sciences, 2006

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