A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems
Abstract Although the arithmetic optimization algorithm (AOA) shows promising performance, it tends to suffer from premature convergence and poor scalability in high-dimensional problems. To address these challenges, we propose the Chaotic Differential Arithmetic Optimization Algorithm (CDAOA), whic...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-13539-6 |
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| author | Yiwei Liu Yinggan Tang Changchun Hua |
| author_facet | Yiwei Liu Yinggan Tang Changchun Hua |
| author_sort | Yiwei Liu |
| collection | DOAJ |
| description | Abstract Although the arithmetic optimization algorithm (AOA) shows promising performance, it tends to suffer from premature convergence and poor scalability in high-dimensional problems. To address these challenges, we propose the Chaotic Differential Arithmetic Optimization Algorithm (CDAOA), which combines an improved Tent chaotic map for initializing a diverse population, Cauchy perturbation for enhanced exploration, and differential evolution with Lévy flight to strengthen exploitation. CDAOA is benchmarked on 16 classical functions, the CEC 2019 and 2021 test suites, and five real-world engineering problems. Results demonstrate that CDAOA achieves superior performance compared to AOA and several state-of-the-art algorithms in terms of convergence speed and solution quality. |
| format | Article |
| id | doaj-art-2dc8211501634c7588709309d1d03157 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-2dc8211501634c7588709309d1d031572025-08-20T03:42:38ZengNature PortfolioScientific Reports2045-23222025-07-0115113210.1038/s41598-025-13539-6A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problemsYiwei Liu0Yinggan Tang1Changchun Hua2School of Electrical Engineering, Yanshan UniversitySchool of Electrical Engineering, Yanshan UniversitySchool of Electrical Engineering, Yanshan UniversityAbstract Although the arithmetic optimization algorithm (AOA) shows promising performance, it tends to suffer from premature convergence and poor scalability in high-dimensional problems. To address these challenges, we propose the Chaotic Differential Arithmetic Optimization Algorithm (CDAOA), which combines an improved Tent chaotic map for initializing a diverse population, Cauchy perturbation for enhanced exploration, and differential evolution with Lévy flight to strengthen exploitation. CDAOA is benchmarked on 16 classical functions, the CEC 2019 and 2021 test suites, and five real-world engineering problems. Results demonstrate that CDAOA achieves superior performance compared to AOA and several state-of-the-art algorithms in terms of convergence speed and solution quality.https://doi.org/10.1038/s41598-025-13539-6Arithmetic optimization algorithmChaotic mappingCauchy perturbationDifferential evolutionLévy flightEngineering application |
| spellingShingle | Yiwei Liu Yinggan Tang Changchun Hua A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems Scientific Reports Arithmetic optimization algorithm Chaotic mapping Cauchy perturbation Differential evolution Lévy flight Engineering application |
| title | A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems |
| title_full | A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems |
| title_fullStr | A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems |
| title_full_unstemmed | A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems |
| title_short | A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems |
| title_sort | chaotic arithmetic optimization algorithm with cauchy perturbation and differential evolution for engineering design problems |
| topic | Arithmetic optimization algorithm Chaotic mapping Cauchy perturbation Differential evolution Lévy flight Engineering application |
| url | https://doi.org/10.1038/s41598-025-13539-6 |
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