Volume 41, Number 3, July-September 2007Journées Polyèdres et Optimisation Combinatoire
|Page(s)||235 - 251|
|Published online||21 August 2007|
A branch-and-cut algorithm for a resource-constrained scheduling problem
Service d'architecture BSC (PC 12A7), Nortel GSM Access R&D, Parc d'activités de Magny-Châteaufort, 78928 Yvelines Cedex 09, France; email@example.com
2 UMR CNRS Heudiasyc (Université de Technologie de Compiègne), Centre de recherches de Royallieu, BP 20529, 60205 Compiègne Cedex, France.
3 UMR CNRS Limos (Université de Clermont-Ferrand II), Complexe scientifique des Cézeaux, 63177 Aubière Cedex, France; firstname.lastname@example.org
Accepted: 21 December 2006
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.
Mathematics Subject Classification: 90C57 / 68M14
Key words: Polyhedral combinatorics / scheduling / branch-and-cut / distributed systems
© EDP Sciences, ROADEF, SMAI, 2007
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