Volume 46, Number 3, July-September 2012
|Page(s)||235 - 252|
|Published online||26 September 2012|
Interactive compromise hypersphere method and its applications
Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland
Received: 13 August 2009
Accepted: 2 August 2012
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.
Mathematics Subject Classification: 90C29 / 90B50 / 49Q12
Key words: Multi-criteria problems / multiple objective linear programming / sensitivity analysis / decision making / compromise programming
© EDP Sciences, ROADEF, SMAI, 2012
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