Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design
In this paper, two novel algorithms are designed for solving biobjective optimization engineering problems. In order to obtain the optimal solutions of the biobjective optimization problems in a fast and accurate manner, the algorithms, which have combined Newton’s method with Neumann series expansi...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Applied Bionics and Biomechanics |
| Online Access: | http://dx.doi.org/10.1155/2018/7071647 |
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| _version_ | 1832568520849752064 |
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| author | Huan Guo Yoshino Tatsuo Lulu Fan Ao Ding Tianshuang Xu Genyuan Xing |
| author_facet | Huan Guo Yoshino Tatsuo Lulu Fan Ao Ding Tianshuang Xu Genyuan Xing |
| author_sort | Huan Guo |
| collection | DOAJ |
| description | In this paper, two novel algorithms are designed for solving biobjective optimization engineering problems. In order to obtain the optimal solutions of the biobjective optimization problems in a fast and accurate manner, the algorithms, which have combined Newton’s method with Neumann series expansion as well as the weighted sum method, are applied to deal with two objectives, and the Pareto optimal front is achieved through adjusting weighted factors. Theoretical analysis and numerical examples demonstrate the validity and effectiveness of the proposed algorithms. Moreover, an effective biobjective optimization strategy, which is based upon the two algorithms and the surrogate model method, is developed for engineering problems. The effectiveness of the optimization strategy is proved by its application to the optimal design of the dummy head structure in the car crash experiments. |
| format | Article |
| id | doaj-art-b57bcbd9f44346088bfb52e9c22ad9f2 |
| institution | Kabale University |
| issn | 1176-2322 1754-2103 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Bionics and Biomechanics |
| spelling | doaj-art-b57bcbd9f44346088bfb52e9c22ad9f22025-02-03T00:58:51ZengWileyApplied Bionics and Biomechanics1176-23221754-21032018-01-01201810.1155/2018/70716477071647Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering DesignHuan Guo0Yoshino Tatsuo1Lulu Fan2Ao Ding3Tianshuang Xu4Genyuan Xing5School of Mechanical Science and Engineering, Jilin University, Changchun, ChinaSchool of Mechanical Science and Engineering, Jilin University, Changchun, ChinaSchool of Mechanical Science and Engineering, Jilin University, Changchun, ChinaTianjin Aerisafety Science and Technology Co. Ltd., Tianjin, ChinaSchool of Mechanical Science and Engineering, Jilin University, Changchun, ChinaSchool of Mechanical Science and Engineering, Jilin University, Changchun, ChinaIn this paper, two novel algorithms are designed for solving biobjective optimization engineering problems. In order to obtain the optimal solutions of the biobjective optimization problems in a fast and accurate manner, the algorithms, which have combined Newton’s method with Neumann series expansion as well as the weighted sum method, are applied to deal with two objectives, and the Pareto optimal front is achieved through adjusting weighted factors. Theoretical analysis and numerical examples demonstrate the validity and effectiveness of the proposed algorithms. Moreover, an effective biobjective optimization strategy, which is based upon the two algorithms and the surrogate model method, is developed for engineering problems. The effectiveness of the optimization strategy is proved by its application to the optimal design of the dummy head structure in the car crash experiments.http://dx.doi.org/10.1155/2018/7071647 |
| spellingShingle | Huan Guo Yoshino Tatsuo Lulu Fan Ao Ding Tianshuang Xu Genyuan Xing Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design Applied Bionics and Biomechanics |
| title | Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design |
| title_full | Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design |
| title_fullStr | Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design |
| title_full_unstemmed | Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design |
| title_short | Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design |
| title_sort | biobjective optimization algorithms using neumann series expansion for engineering design |
| url | http://dx.doi.org/10.1155/2018/7071647 |
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