Constraint-Propagation-Based Cutting Planes: An Application to the Resource-Constrained Project Scheduling Problem

Sophie Demassey; Christian Artigues; Philippe Michelon

doi:10.1287/ijoc.1030.0043

Constraint-Propagation-Based Cutting Planes: An Application to the Resource-Constrained Project Scheduling Problem

Sophie Demassey ¹ Christian Artigues ² Philippe Michelon ³

1 LINA - Laboratoire d'Informatique de Nantes Atlantique

2 LAAS-ROC - Équipe Recherche Opérationnelle, Optimisation Combinatoire et Contraintes

LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]

3 LIA - Laboratoire Informatique d'Avignon

Abstract : W e propose a cooperation method between constraint programming and integer programming to compute lower bounds for the resource-constrained project scheduling problem (RCPSP). The lower bounds are evaluated through linear-programming (LP) relaxations of two different integer linear formulations. Efficient resource-constraint propagation algorithms serve as a preprocessing technique for these relaxations. The originality of our approach is to use additionally some deductions performed by constraint propagation, and particularly by the shaving technique, to derive new cutting planes that strengthen the linear programs. Such new valid linear inequalities are given in this paper, as well as a computational analysis of our approach. Through this analysis, we also compare the two considered linear formulations for the RCPSP and confirm the efficiency of lower bounds computed in a destructive way.

Keywords : resource-constrained project scheduling problem cutting plane constraint propagation shaving

Type de document :

Article dans une revue

INFORMS Journal on Computing, Institute for Operations Research and the Management Sciences (INFORMS), 2005, 17 (1), pp.52-65. 〈10.1287/ijoc.1030.0043〉

Domaine :

Informatique [cs] / Recherche opérationnelle [cs.RO]

Mathématiques [math] / Optimisation et contrôle [math.OC]

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01980644
Contributeur : Sophie Demassey <>
Soumis le : mardi 5 février 2019 - 15:33:53
Dernière modification le : jeudi 7 février 2019 - 15:33:01

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