An algorithm for a multicriteria optimization problem and its application to a facility location problem
Publish place: Journal of Mahani Mathematical Research، Vol: 11، Issue: 3
Publish Year: 1401
Type: Journal paper
Language: English
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Document National Code:
JR_KJMMRC-11-3_012
Index date: 16 November 2022
An algorithm for a multicriteria optimization problem and its application to a facility location problem abstract
In this paper, a new algorithm is proposed for solving a multicriteria optimization problem where the feasible set is an m-dimensional cube. In fact, the idea of the multicriteria big cube small cube method is employed to develop the new algorithm. It is proved that, for a given epsilon vector, the output of the suggested algorithm involves all epsilon efficient solutions as well as all efficient solutions. Furthermore, the algorithm is applied to a multicriteria location problem. The results show that the recommended algorithm can obtain more epsilon efficient solutions in comparison with the main multicriteria big cube small cube method.
An algorithm for a multicriteria optimization problem and its application to a facility location problem Keywords:
An algorithm for a multicriteria optimization problem and its application to a facility location problem authors
Nemat Ghafari
Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
M.A. Yaghoobi
Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
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