This paper is devoted to the exact resolution of a strongly -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 combinatorics, scheduling, branch-and-cut, distributed systems
@article{RO_2007__41_3_235_0,
author = {Sirdey, Renaud and Kerivin, Herv\'e L. M.},
title = {A branch-and-cut algorithm for a resource-constrained scheduling problem},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {235--251},
year = {2007},
publisher = {EDP Sciences},
volume = {41},
number = {3},
doi = {10.1051/ro:2007021},
mrnumber = {2348000},
zbl = {1213.90126},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro:2007021/}
}
TY - JOUR AU - Sirdey, Renaud AU - Kerivin, Hervé L. M. TI - A branch-and-cut algorithm for a resource-constrained scheduling problem JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2007 SP - 235 EP - 251 VL - 41 IS - 3 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ro:2007021/ DO - 10.1051/ro:2007021 LA - en ID - RO_2007__41_3_235_0 ER -
%0 Journal Article %A Sirdey, Renaud %A Kerivin, Hervé L. M. %T A branch-and-cut algorithm for a resource-constrained scheduling problem %J RAIRO - Operations Research - Recherche Opérationnelle %D 2007 %P 235-251 %V 41 %N 3 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ro:2007021/ %R 10.1051/ro:2007021 %G en %F RO_2007__41_3_235_0
Sirdey, Renaud; Kerivin, Hervé L. M. A branch-and-cut algorithm for a resource-constrained scheduling problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 3, pp. 235-251. doi: 10.1051/ro:2007021
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