
Branch-and-Cut-and-Price algorithms for the preemptive RCPSP
Fouilhoux, Pierre; Mahjoub, Ali Ridha; Quilliot, Alain; Toussaint, Hélène (2017), Branch-and-Cut-and-Price algorithms for the preemptive RCPSP, RAIRO - Operations Research, 52, 2, p. 513–528. 10.1051/ro/2018031
View/ Open
Type
Article accepté pour publication ou publiéDate
2017Journal name
RAIRO - Operations ResearchVolume
52Number
2Pages
513–528
Publication identifier
Metadata
Show full item recordAuthor(s)
Fouilhoux, PierreLaboratoire d'Informatique de Paris 6 [LIP6]
Mahjoub, Ali Ridha
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Quilliot, Alain
Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes [LIMOS]
Toussaint, Hélène
Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes [LIMOS]
Abstract (EN)
In this article, we address the preemptive Resource-Constrained Precedence Scheduling Problem. We propose two mixed integer formulations containing an exponential number of variables and inequalities. An antichain is a set of pairwise incomparable elements with respect to the precedence constraints. In the first formulation, the integer variables are associated with the antichains. For the second, the integer variables are limited to a particular subset of antichains. We propose two Branch-and-Cut-and-Price algorithms for each of these formulations. We introduce some valid inequalities in order to reinforce the second formulation. Finally, we give some computational results on instances of the PSPLIB and compare the formulations.Subjects / Keywords
Resource-constrained precedence scheduling problem; Preemptive case; Antichain; Branch-and-Cut-and-Price algorithmRelated items
Showing items related by title and author.
-
Pereira Vargas Liguori, Pedro Henrique; Mahjoub, Ali Ridha; Sadykov, Ruslan; Uchoa, Eduardo (2019) Communication / Conférence
-
Fouilhoux, Pierre; Klopkenstein, Olivier; Mahjoub, Ali Ridha; Borne, S. (2009) Communication / Conférence
-
Diarrassouba, Ibrahima; Hadhbi, Youssouf; Mahjoub, Ali Ridha (2021) Document de travail / Working paper
-
Diarrassouba, Ibrahima; Hadhbi, Youssouf; Mahjoub, Ali Ridha (2022) Communication / Conférence
-
Borne, Sylvie; Mahjoub, Ali Ridha; Taktak, Raouia (2013) Article accepté pour publication ou publié