In this paper we present the image space analysis, based on a general separation scheme, with the aim of studying lagrangian duality and shadow prices in Vector Optimization. Two particular kinds of separation are considered; in the linear case, each of them is applied to the study of sensitivity analysis, and it is proved that the derivatives of the perturbation function can be expressed in terms of vector Lagrange multipliers or shadow prices.
@article{RO_2004__38_4_305_0, author = {Pellegrini, Letizia}, title = {On dual vector optimization and shadow prices}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {305--317}, publisher = {EDP-Sciences}, volume = {38}, number = {4}, year = {2004}, doi = {10.1051/ro:2004025}, mrnumber = {2178083}, zbl = {1114.90117}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro:2004025/} }
TY - JOUR AU - Pellegrini, Letizia TI - On dual vector optimization and shadow prices JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2004 SP - 305 EP - 317 VL - 38 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro:2004025/ DO - 10.1051/ro:2004025 LA - en ID - RO_2004__38_4_305_0 ER -
%0 Journal Article %A Pellegrini, Letizia %T On dual vector optimization and shadow prices %J RAIRO - Operations Research - Recherche Opérationnelle %D 2004 %P 305-317 %V 38 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro:2004025/ %R 10.1051/ro:2004025 %G en %F RO_2004__38_4_305_0
Pellegrini, Letizia. On dual vector optimization and shadow prices. RAIRO - Operations Research - Recherche Opérationnelle, Tome 38 (2004) no. 4, pp. 305-317. doi : 10.1051/ro:2004025. http://archive.numdam.org/articles/10.1051/ro:2004025/
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