The Crossover strategy integrated Secretary Bird Optimization Algorithm and its application in engineering design problems

Xiongfa Mai; Yan Zhong; Ling Li; Xiongfa Mai; Yan Zhong; Ling Li

doi:10.3934/era.2025023

Electronic Research Archive

2025, Volume 33, Issue 1: 471-512. doi: 10.3934/era.2025023

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Research article

The Crossover strategy integrated Secretary Bird Optimization Algorithm and its application in engineering design problems

1.
Center for Applied Mathematics of Guangxi, Nanning Normal University, Nanning 530100, China
2.
Key Laboratory of Environment Change and Resources Use in Beibu Gulf (Ministry of Education), Nanning Normal University, Nanning 530100, China

Received: 31 October 2024 Revised: 31 December 2024 Accepted: 14 January 2025 Published: 24 January 2025

An improved metaheuristic algorithm called the Crossover strategy integrated Secretary Bird Optimization Algorithm (CSBOA) is proposed in this work for solving real optimization problems. This improved algorithm integrated logistic-tent chaotic mapping initialization, an improved differential mutation operator, and crossover strategies with the Secretary Bird Optimization Algorithm (SBOA) for a better quality solution and faster convergence. To evaluate the performance of CSBOA, two sets of a standard benchmark set, CEC2017 and CEC2022, were applied first. The Wilcoxon rank sum test and Friedman test were also used to statistically compare the proposed CSBOA algorithm with seven common metaheuristics. The comparisons demonstrated that CSBOA is more competitive than other metaheuristic algorithms on most benchmark functions. Additionally, the performance of CSBOA was validated for two challenging engineering design case studies. Comparative results showed that CSBOA provides more accurate solutions than the SBOA and the other seven algorithms, suggesting viability in dealing with real global optimization problems.
Citation: Xiongfa Mai, Yan Zhong, Ling Li. The Crossover strategy integrated Secretary Bird Optimization Algorithm and its application in engineering design problems[J]. Electronic Research Archive, 2025, 33(1): 471-512. doi: 10.3934/era.2025023

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Abstract

An improved metaheuristic algorithm called the Crossover strategy integrated Secretary Bird Optimization Algorithm (CSBOA) is proposed in this work for solving real optimization problems. This improved algorithm integrated logistic-tent chaotic mapping initialization, an improved differential mutation operator, and crossover strategies with the Secretary Bird Optimization Algorithm (SBOA) for a better quality solution and faster convergence. To evaluate the performance of CSBOA, two sets of a standard benchmark set, CEC2017 and CEC2022, were applied first. The Wilcoxon rank sum test and Friedman test were also used to statistically compare the proposed CSBOA algorithm with seven common metaheuristics. The comparisons demonstrated that CSBOA is more competitive than other metaheuristic algorithms on most benchmark functions. Additionally, the performance of CSBOA was validated for two challenging engineering design case studies. Comparative results showed that CSBOA provides more accurate solutions than the SBOA and the other seven algorithms, suggesting viability in dealing with real global optimization problems.

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