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On the minimum cost multiple-source unsplittable flow problem

Published online by Cambridge University Press:  21 August 2007

Meriema Belaidouni  and
Walid Ben-Ameur
Meriema Belaidouni
Affiliation:
GET/INT - CNRS UMR 5157, Institut National des Télécommunications 9, rue Charles Fourier, 91011, Evry, France; walid.benameur@int.evry.fr
Walid Ben-Ameur
Affiliation:
GET/INT - CNRS UMR 5157, Institut National des Télécommunications 9, rue Charles Fourier, 91011, Evry, France; walid.benameur@int.evry.fr
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Abstract

The minimum cost multiple-source unsplittable flow problem isstudied in this paper. A simple necessary condition to get asolution is proposed. It deals with capacities and demands and canbe seen as a generalization of the well-known semi-metriccondition for continuous multicommdity flows. A cutting planealgorithm is derived using a superadditive approach. Theinequalities considered here are valid for single knapsackconstraints. They are based on nondecreasing superadditivefunctions and can be used to strengthen the relaxation of anyinteger program with knapsack constraints. Some numericalexperiments confirm the efficiency of the inequalities introducedin the paper.

Keywords

Network flowsinteger programmingsuperadditive functions
Type
Research Article
Information
RAIRO - Operations Research , Volume 41 , Issue 3: Journées Polyèdres et Optimisation Combinatoire , July 2007 , pp. 253 - 273
Copyright
© EDP Sciences, ROADEF, SMAI, 2007

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