Dans ce papier, nous caractérisons l’ensemble des points efficients d’un problème de programmation multicritère quadratique convexe. Nous ramenons ainsi le problème de la minimisation d’une fonction linéaire sur l’ensemble des points efficients à la résolution d’un problème de programmation fractionnaire.
@article{AMBP_2004__11_1_19_0, author = {Belkeziz, K. and Metrane, A.}, title = {Optimisation d{\textquoteright}une fonction lin\'eaire sur l{\textquoteright}ensemble des solutions efficaces d{\textquoteright}un probl\`eme multicrit\`ere quadratique convexe}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {19--33}, publisher = {Annales math\'ematiques Blaise Pascal}, volume = {11}, number = {1}, year = {2004}, doi = {10.5802/ambp.182}, mrnumber = {2077235}, zbl = {1132.90014}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/ambp.182/} }
TY - JOUR AU - Belkeziz, K. AU - Metrane, A. TI - Optimisation d’une fonction linéaire sur l’ensemble des solutions efficaces d’un problème multicritère quadratique convexe JO - Annales mathématiques Blaise Pascal PY - 2004 SP - 19 EP - 33 VL - 11 IS - 1 PB - Annales mathématiques Blaise Pascal UR - http://www.numdam.org/articles/10.5802/ambp.182/ DO - 10.5802/ambp.182 LA - fr ID - AMBP_2004__11_1_19_0 ER -
%0 Journal Article %A Belkeziz, K. %A Metrane, A. %T Optimisation d’une fonction linéaire sur l’ensemble des solutions efficaces d’un problème multicritère quadratique convexe %J Annales mathématiques Blaise Pascal %D 2004 %P 19-33 %V 11 %N 1 %I Annales mathématiques Blaise Pascal %U http://www.numdam.org/articles/10.5802/ambp.182/ %R 10.5802/ambp.182 %G fr %F AMBP_2004__11_1_19_0
Belkeziz, K.; Metrane, A. Optimisation d’une fonction linéaire sur l’ensemble des solutions efficaces d’un problème multicritère quadratique convexe. Annales mathématiques Blaise Pascal, Tome 11 (2004) no. 1, pp. 19-33. doi : 10.5802/ambp.182. http://www.numdam.org/articles/10.5802/ambp.182/
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