Cet article est un travail de synthèse autour de l'analyse de sensibilité pour les problèmes linéaires en variables 0-1. De nombreux aspects sont ainsi abordés : historique et formes d'analyse de sensibilité, exemples d'application, complexité, conditions d'optimalité, algorithmes et approches. Nous dressons par ailleurs quelques perspectives de recherche actuelles dans ce domaine.
This paper is a state of the art on sensitivity analysis for 0-1 linear programming problems. Several aspects are considered: history and forms of sensitivity analysis, application examples, complexity, optimality conditions, existing algorithms and approaches.
Mots clés : analyse de sensibilité, réoptimisation, rayon de stabilité, problèmes linéaires en 0-1
@article{RO_2003__37_4_291_0, author = {Thiongane, Babacar and Nagih, Anass and Plateau, G\'erad}, title = {Analyse de sensibilit\'e pour les probl\`emes lin\'eaires en variables 0-1}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {291--309}, publisher = {EDP-Sciences}, volume = {37}, number = {4}, year = {2003}, doi = {10.1051/ro:2004002}, zbl = {1092.90031}, mrnumber = {2065244}, language = {fr}, url = {http://www.numdam.org/articles/10.1051/ro:2004002/} }
TY - JOUR AU - Thiongane, Babacar AU - Nagih, Anass AU - Plateau, Gérad TI - Analyse de sensibilité pour les problèmes linéaires en variables 0-1 JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2003 DA - 2003/// SP - 291 EP - 309 VL - 37 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro:2004002/ UR - https://zbmath.org/?q=an%3A1092.90031 UR - https://www.ams.org/mathscinet-getitem?mr=2065244 UR - https://doi.org/10.1051/ro:2004002 DO - 10.1051/ro:2004002 LA - fr ID - RO_2003__37_4_291_0 ER -
Thiongane, Babacar; Nagih, Anass; Plateau, Gérad. Analyse de sensibilité pour les problèmes linéaires en variables 0-1. RAIRO - Operations Research - Recherche Opérationnelle, Tome 37 (2003) no. 4, pp. 291-309. doi : 10.1051/ro:2004002. http://www.numdam.org/articles/10.1051/ro:2004002/
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