Multi-Objective Optimization Using Cooperative Garden Balsam Optimization with Multiple Populations
Traditional multi-objective evolutionary algorithms (MOEAs) consider multiple objectives as a whole when solving multi-objective optimization problems (MOPs). In this paper, the hybridization of garden balsam optimization (GBO) is presented to solve multi-objective optimization, applying multiple po...
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| Format: | Article |
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MDPI AG
2022-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/11/5524 |
| _version_ | 1827665549165854720 |
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| author | Xiaohui Wang Shengpu Li |
| author_facet | Xiaohui Wang Shengpu Li |
| author_sort | Xiaohui Wang |
| collection | DOAJ |
| description | Traditional multi-objective evolutionary algorithms (MOEAs) consider multiple objectives as a whole when solving multi-objective optimization problems (MOPs). In this paper, the hybridization of garden balsam optimization (GBO) is presented to solve multi-objective optimization, applying multiple populations for multiple objectives individually. Moreover, in order to improve the diversity of the solutions, both crowding distance computations and epsilon dominance relations are adopted when updating the archive. Furthermore, an efficient selection procedure called co-evolutionary multi-swarm garden balsam optimization (CMGBO) is proposed to ensure the convergence of well-diversified Pareto regions. The performance of the used algorithm is validated on 12 test functions. The algorithm is employed to solve four real-world problems in engineering. The achieved consequences corroborate the advantage of the proposed algorithm with regard to convergence and diversity. |
| first_indexed | 2024-03-10T01:30:33Z |
| format | Article |
| id | doaj.art-52a59f7a3ab34bcaa589767af4add426 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T01:30:33Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-52a59f7a3ab34bcaa589767af4add4262023-11-23T13:43:13ZengMDPI AGApplied Sciences2076-34172022-05-011211552410.3390/app12115524Multi-Objective Optimization Using Cooperative Garden Balsam Optimization with Multiple PopulationsXiaohui Wang0Shengpu Li1College of Information Engineering, Pingdingshan University, Pingdingshan 467002, ChinaCollege of Information Engineering, Pingdingshan University, Pingdingshan 467002, ChinaTraditional multi-objective evolutionary algorithms (MOEAs) consider multiple objectives as a whole when solving multi-objective optimization problems (MOPs). In this paper, the hybridization of garden balsam optimization (GBO) is presented to solve multi-objective optimization, applying multiple populations for multiple objectives individually. Moreover, in order to improve the diversity of the solutions, both crowding distance computations and epsilon dominance relations are adopted when updating the archive. Furthermore, an efficient selection procedure called co-evolutionary multi-swarm garden balsam optimization (CMGBO) is proposed to ensure the convergence of well-diversified Pareto regions. The performance of the used algorithm is validated on 12 test functions. The algorithm is employed to solve four real-world problems in engineering. The achieved consequences corroborate the advantage of the proposed algorithm with regard to convergence and diversity.https://www.mdpi.com/2076-3417/12/11/5524co-evolutionary algorithmsmulti-objective optimization problemgarden balsam optimizationepsilon dominance |
| spellingShingle | Xiaohui Wang Shengpu Li Multi-Objective Optimization Using Cooperative Garden Balsam Optimization with Multiple Populations Applied Sciences co-evolutionary algorithms multi-objective optimization problem garden balsam optimization epsilon dominance |
| title | Multi-Objective Optimization Using Cooperative Garden Balsam Optimization with Multiple Populations |
| title_full | Multi-Objective Optimization Using Cooperative Garden Balsam Optimization with Multiple Populations |
| title_fullStr | Multi-Objective Optimization Using Cooperative Garden Balsam Optimization with Multiple Populations |
| title_full_unstemmed | Multi-Objective Optimization Using Cooperative Garden Balsam Optimization with Multiple Populations |
| title_short | Multi-Objective Optimization Using Cooperative Garden Balsam Optimization with Multiple Populations |
| title_sort | multi objective optimization using cooperative garden balsam optimization with multiple populations |
| topic | co-evolutionary algorithms multi-objective optimization problem garden balsam optimization epsilon dominance |
| url | https://www.mdpi.com/2076-3417/12/11/5524 |
| work_keys_str_mv | AT xiaohuiwang multiobjectiveoptimizationusingcooperativegardenbalsamoptimizationwithmultiplepopulations AT shengpuli multiobjectiveoptimizationusingcooperativegardenbalsamoptimizationwithmultiplepopulations |