Nous présentons un résultat de controlabilité pour un système dynamique d'ordre deux et son utilisation en optimisation globale dans un context de minimisation multi-critère. En particulier, nous montrons comment atteindre les points sur des fronts de Pareto nonconvexes.
We present a controllability result for a second order dynamic system and its application to global optimization in the context of multi-criteria problems. In particular, we address the issue of reaching points on nonconvex regions of Pareto fronts.
Accepté le :
Publié le :
Bijan Mohammadi 1 ; Patrick Redont 1
@article{CRMATH_2009__347_5-6_327_0, author = {Bijan Mohammadi and Patrick Redont}, title = {Improving the identification of general {Pareto} fronts by global optimization}, journal = {Comptes Rendus. Math\'ematique}, pages = {327--331}, publisher = {Elsevier}, volume = {347}, number = {5-6}, year = {2009}, doi = {10.1016/j.crma.2009.01.020}, language = {en}, }
TY - JOUR AU - Bijan Mohammadi AU - Patrick Redont TI - Improving the identification of general Pareto fronts by global optimization JO - Comptes Rendus. Mathématique PY - 2009 SP - 327 EP - 331 VL - 347 IS - 5-6 PB - Elsevier DO - 10.1016/j.crma.2009.01.020 LA - en ID - CRMATH_2009__347_5-6_327_0 ER -
Bijan Mohammadi; Patrick Redont. Improving the identification of general Pareto fronts by global optimization. Comptes Rendus. Mathématique, Volume 347 (2009) no. 5-6, pp. 327-331. doi : 10.1016/j.crma.2009.01.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.01.020/
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