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A branch-and-cut algorithmfor a resource-constrained scheduling problem

Published online by Cambridge University Press:  21 August 2007

Renaud Sirdey  and
Hervé L. M. Kerivin
Renaud Sirdey
Affiliation:
Service d'architecture BSC (PC 12A7), Nortel GSM Access R&D, Parc d'activités de Magny-Châteaufort, 78928 Yvelines Cedex 09, France; renauds@nortel.com UMR CNRS Heudiasyc (Université de Technologie de Compiègne), Centre de recherches de Royallieu, BP 20529, 60205 Compiègne Cedex, France.
Hervé L. M. Kerivin
Affiliation:
UMR CNRS Limos (Université de Clermont-Ferrand II), Complexe scientifique des Cézeaux, 63177 Aubière Cedex, France; kerivin@math.univ-bpclermont.fr
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Abstract

This paper is devoted to the exact resolution of a strongly NP-hard resource-constrained scheduling problem, the Process Move Programming problem, which arises in relation to the operability of certain high-availability real-time distributed systems. Based on the study of the polytope defined as the convex hull of the incidence vectors of the admissible process move programs, we present a branch-and-cut algorithm along with extensive computational results demonstrating its practical relevance, in terms of both exact and approximate resolution when the instance size increases.

Keywords

Polyhedral combinatoricsschedulingbranch-and-cutdistributed systems
Type
Research Article
Information
RAIRO - Operations Research , Volume 41 , Issue 3: Journées Polyèdres et Optimisation Combinatoire , July 2007 , pp. 235 - 251
Copyright
© EDP Sciences, ROADEF, SMAI, 2007

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