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Interactive compromise hypersphere method and its applications
RAIRO - Operations Research - Recherche Opérationnelle, Tome 46 (2012) no. 3, pp. 235-252 Cet article a éte moissonné depuis la source Numdam

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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.

DOI : 10.1051/ro/2012017
Classification : 90C29, 90B50, 49Q12
Keywords: multi-criteria problems, multiple objective linear programming, sensitivity analysis, decision making, compromise programming 
@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},
     year = {2012},
     publisher = {EDP-Sciences},
     volume = {46},
     number = {3},
     doi = {10.1051/ro/2012017},
     mrnumber = {2989085},
     zbl = {1254.90219},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2012017/}
}
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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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