In this paper, a new interactive multiobjective target setting approach based on lexicographic directional distance function (DDF) method is proposed. Lexicographic DDF computes efficient targets along a specified directional vector. The interactive multiobjective optimization approach consists in several iteration cycles in each of which the Decision Making Unit (DMU) is presented a fixed number of efficient targets computed corresponding to different directional vectors. If the DMU finds one of them promising, the directional vectors tried in the next iteration are generated close to the promising one, thus focusing the exploration of the efficient frontier on the promising area. In any iteration the DMU may choose to finish the exploration of the current region and restart the process to probe a new region. The interactive process ends when the DMU finds its most preferred solution (MPS).
Mots-clés : DEA, target setting, interactive multiobjective optimization, lexicographic directional distance function, most preferred solution
@article{RO_2020__54_6_1703_0, author = {Soltani, Narges and Lozano, Sebasti\'an}, title = {Interactive multiobjective {DEA} target setting using lexicographic {DDF}}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {1703--1722}, publisher = {EDP-Sciences}, volume = {54}, number = {6}, year = {2020}, doi = {10.1051/ro/2019105}, mrnumber = {4150239}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2019105/} }
TY - JOUR AU - Soltani, Narges AU - Lozano, Sebastián TI - Interactive multiobjective DEA target setting using lexicographic DDF JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 1703 EP - 1722 VL - 54 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2019105/ DO - 10.1051/ro/2019105 LA - en ID - RO_2020__54_6_1703_0 ER -
%0 Journal Article %A Soltani, Narges %A Lozano, Sebastián %T Interactive multiobjective DEA target setting using lexicographic DDF %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 1703-1722 %V 54 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2019105/ %R 10.1051/ro/2019105 %G en %F RO_2020__54_6_1703_0
Soltani, Narges; Lozano, Sebastián. Interactive multiobjective DEA target setting using lexicographic DDF. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 6, pp. 1703-1722. doi : 10.1051/ro/2019105. http://www.numdam.org/articles/10.1051/ro/2019105/
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