Solving linear multi-objective geometric programming problems via reference point approach
In the last few years we have seen a very rapid development on solving generalized geometric programming (GGP) problems, but so far less works has been devoted to MOGP due to the inherent difficulty which may arise in solving such problems. Our aim in this paper was to consider the problem of multi-...
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2014
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| Online Access: | http://journalarticle.ukm.my/7526/1/20_F._Bazikar.pdf |
| _version_ | 1825726052539826176 |
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| author | Bazikar, F. Saraj, M. |
| author_facet | Bazikar, F. Saraj, M. |
| author_sort | Bazikar, F. |
| collection | UKM |
| description | In the last few years we have seen a very rapid development on solving generalized geometric programming (GGP) problems, but so far less works has been devoted to MOGP due to the inherent difficulty which may arise in solving such problems. Our aim in this paper was to consider the problem of multi-objective geometric programming (MOGP) and solve the problem via two-level relaxed linear programming problem Yuelin et al. (2005) and that is due to simplicity which occurs through linearization i.e. transforming a GP to LP. In this approach each of the objective functions in multi-objective geometric programming is individually linearized using two-level linear relaxed bound method, which provides a lower bound for the optimal values. Finally our MOGP is transformed to a multi-objective linear programming problem (MOLP) which is solved by reference point approach. In the end, a numerical example is given to investigate the feasibility and effectiveness of the proposed approach. |
| first_indexed | 2024-03-06T04:04:59Z |
| format | Article |
| id | ukm.eprints-7526 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:04:59Z |
| publishDate | 2014 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-75262016-12-14T06:44:22Z http://journalarticle.ukm.my/7526/ Solving linear multi-objective geometric programming problems via reference point approach Bazikar, F. Saraj, M. In the last few years we have seen a very rapid development on solving generalized geometric programming (GGP) problems, but so far less works has been devoted to MOGP due to the inherent difficulty which may arise in solving such problems. Our aim in this paper was to consider the problem of multi-objective geometric programming (MOGP) and solve the problem via two-level relaxed linear programming problem Yuelin et al. (2005) and that is due to simplicity which occurs through linearization i.e. transforming a GP to LP. In this approach each of the objective functions in multi-objective geometric programming is individually linearized using two-level linear relaxed bound method, which provides a lower bound for the optimal values. Finally our MOGP is transformed to a multi-objective linear programming problem (MOLP) which is solved by reference point approach. In the end, a numerical example is given to investigate the feasibility and effectiveness of the proposed approach. Universiti Kebangsaan Malaysia 2014-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7526/1/20_F._Bazikar.pdf Bazikar, F. and Saraj, M. (2014) Solving linear multi-objective geometric programming problems via reference point approach. Sains Malaysiana, 43 (8). pp. 1271-1274. ISSN 0126-6039 http://www.ukm.my/jsm |
| spellingShingle | Bazikar, F. Saraj, M. Solving linear multi-objective geometric programming problems via reference point approach |
| title | Solving linear multi-objective geometric programming
problems via reference point approach |
| title_full | Solving linear multi-objective geometric programming
problems via reference point approach |
| title_fullStr | Solving linear multi-objective geometric programming
problems via reference point approach |
| title_full_unstemmed | Solving linear multi-objective geometric programming
problems via reference point approach |
| title_short | Solving linear multi-objective geometric programming
problems via reference point approach |
| title_sort | solving linear multi objective geometric programming problems via reference point approach |
| url | http://journalarticle.ukm.my/7526/1/20_F._Bazikar.pdf |
| work_keys_str_mv | AT bazikarf solvinglinearmultiobjectivegeometricprogrammingproblemsviareferencepointapproach AT sarajm solvinglinearmultiobjectivegeometricprogrammingproblemsviareferencepointapproach |