Newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems
In this paper, the Newton iterative method and weighted exponential penalty function method for solving multi-objective constrained optimization problems are proposed on the basis of classical optimization methods for mathematical planning. Firstly, according to the characteristics of the objective...
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| Format: | Article |
| Language: | en |
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Penerbit Universiti Kebangsaan Malaysia
2025
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| Online Access: | http://journalarticle.ukm.my/26342/1/Paper_8%20-.pdf http://journalarticle.ukm.my/26342/ https://www.ukm.my/jqma/ |
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| author | Cheng, Peng Jumat Sulaiman, Khadizah Ghazali, Majid Khan Majahar Ali, Xu, Ming Ming |
| author_facet | Cheng, Peng Jumat Sulaiman, Khadizah Ghazali, Majid Khan Majahar Ali, Xu, Ming Ming |
| author_sort | Cheng, Peng |
| building | Tun Sri Lanang Library |
| collection | Institutional Repository |
| content_provider | Universiti Kebangsaan Malaysia |
| content_source | UKM Journal Article Repository |
| continent | Asia |
| country | Malaysia |
| description | In this paper, the Newton iterative method and weighted exponential penalty function method for solving multi-objective constrained optimization problems are proposed on the basis of classical optimization methods for mathematical planning. Firstly, according to the characteristics of the objective function, it is transformed into a single-objective constrained optimization problem using variable weight coefficients. Then according to the characteristics of the constraints, the exponential penalty function method is used to transform it into an unconstrained optimization problem. Finally, Newton's method is used to solve the transformed unconstrained optimization problem to obtain the efficient Pareto solution of the original problem. The convergence of the method is included in the paper, and numerical experiments show that our proposed method can obtain a set of effective Pareto solutions corresponding to multi-objective optimization problems in different dimensions. |
| format | Article |
| id | my-ukm.journal.26342 |
| institution | Universiti Kebangsaan Malaysia |
| language | en |
| publishDate | 2025 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | eprints |
| spelling | my-ukm.journal.263422026-01-09T06:42:15Z http://journalarticle.ukm.my/26342/ Newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems Cheng, Peng Jumat Sulaiman, Khadizah Ghazali, Majid Khan Majahar Ali, Xu, Ming Ming In this paper, the Newton iterative method and weighted exponential penalty function method for solving multi-objective constrained optimization problems are proposed on the basis of classical optimization methods for mathematical planning. Firstly, according to the characteristics of the objective function, it is transformed into a single-objective constrained optimization problem using variable weight coefficients. Then according to the characteristics of the constraints, the exponential penalty function method is used to transform it into an unconstrained optimization problem. Finally, Newton's method is used to solve the transformed unconstrained optimization problem to obtain the efficient Pareto solution of the original problem. The convergence of the method is included in the paper, and numerical experiments show that our proposed method can obtain a set of effective Pareto solutions corresponding to multi-objective optimization problems in different dimensions. Penerbit Universiti Kebangsaan Malaysia 2025-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/26342/1/Paper_8%20-.pdf Cheng, Peng and Jumat Sulaiman, and Khadizah Ghazali, and Majid Khan Majahar Ali, and Xu, Ming Ming (2025) Newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems. Journal of Quality Measurement and Analysis, 21 (2). pp. 93-108. ISSN 2600-8602 https://www.ukm.my/jqma/ |
| spellingShingle | Cheng, Peng Jumat Sulaiman, Khadizah Ghazali, Majid Khan Majahar Ali, Xu, Ming Ming Newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems |
| title | Newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems |
| title_full | Newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems |
| title_fullStr | Newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems |
| title_full_unstemmed | Newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems |
| title_short | Newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems |
| title_sort | newton iteration with weighted exponential penalty function for solving multi-objective constrained optimization problems |
| url | http://journalarticle.ukm.my/26342/1/Paper_8%20-.pdf http://journalarticle.ukm.my/26342/ https://www.ukm.my/jqma/ |
| url_provider | http://journalarticle.ukm.my/ |