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The paper focuses on multi-criteria problems. It presents the interactive compromise hypersphere method with sensitivity analysis as a decision tool in multi-objective programming problems. The method is based on finding a hypersphere (in the criteria space) which is closest to the set of chosen nondominated solutions. The proposed modifications of the compromise hypersphere method are based on using various metrics and analyzing their influence on the original method. Applications of the proposed method are presented in four multi-criteria problems: the assignment problem, the knapsack problem, the project management problem and the manufacturing problem.
@article{RO_2012__46_3_235_0, author = {Sitarz, Sebastian}, title = {Interactive compromise hypersphere method and its applications}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {235--252}, publisher = {EDP-Sciences}, volume = {46}, number = {3}, year = {2012}, doi = {10.1051/ro/2012017}, mrnumber = {2989085}, zbl = {1254.90219}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2012017/} }
TY - JOUR AU - Sitarz, Sebastian TI - Interactive compromise hypersphere method and its applications JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2012 SP - 235 EP - 252 VL - 46 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ro/2012017/ DO - 10.1051/ro/2012017 LA - en ID - RO_2012__46_3_235_0 ER -
%0 Journal Article %A Sitarz, Sebastian %T Interactive compromise hypersphere method and its applications %J RAIRO - Operations Research - Recherche Opérationnelle %D 2012 %P 235-252 %V 46 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ro/2012017/ %R 10.1051/ro/2012017 %G en %F RO_2012__46_3_235_0
Sitarz, Sebastian. Interactive compromise hypersphere method and its applications. RAIRO - Operations Research - Recherche Opérationnelle, Tome 46 (2012) no. 3, pp. 235-252. doi: 10.1051/ro/2012017
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