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Heuristiques pour le Problème du Vendeur m-Péripatétique

Published online by Cambridge University Press:  28 January 2009

Éric Duchenne ,
Gilbert Laporte  and
Frédéric Semet
Éric Duchenne
Affiliation:
LAMIH-ROI, Université de Valenciennes, Le Mont Houy, 59313 Valenciennes, Cedex 9, France
Gilbert Laporte
Affiliation:
GERAD and Canada Research Chair in Distribution Management, HEC Montréal, 3000 chemin de la Côte-Sainte-Catherine, H3T 2A7, Montréal, Canada
Frédéric Semet
Affiliation:
LAMIH-ROI, Université de Valenciennes, Le Mont Houy, 59313 Valenciennes, Cedex 9, France; frederic.semet@univ-valenciennes.fr
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Abstract

Le Problème du Vendeur m-Péripatétique (m-PVP) est défini sur un graphe non orienté G=(V,E) où V = {1,...,n} est l'ensemble des sommets, E = {(i,j) : i,j ∈ V,i < j} est l'ensemble des arêtes et (cij) est une matrice de coûts définie sur E.Le m-PVP consiste à déterminer m cycles hamiltoniens sur G n'ayant aucune arête en commun et dont le coût total est minimal.Cet article décrit sept nouvelles heuristiques pour le m-PVP et les compare à celle qui a été proposée par Krarup en 1975.

Keywords

Problème du Vendeur m-PéripatétiqueProblème du Voyageur de Commerceheuristiques.
Type
Research Article
Information
RAIRO - Operations Research , Volume 43 , Issue 1 , January 2009 , pp. 13 - 26
Copyright
© EDP Sciences, ROADEF, SMAI, 2009

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