An algorithm for a multicriteria optimization problem and its application to a facility location problem
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, th...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Shahid Bahonar University of Kerman
2022-11-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3481_254404c947893008b5355039a1ab3531.pdf |
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| Summary: | 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. |
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| ISSN: | 2251-7952 2645-4505 |