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Research Article | Open Access

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

Xiongfa Mai1( )Yan Zhong1Ling Li2
Center for Applied Mathematics of Guangxi, Nanning Normal University, Nanning 530100, China
Key Laboratory of Environment Change and Resources Use in Beibu Gulf (Ministry of Education), Nanning Normal University, Nanning 530100, China
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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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Electronic Research Archive
Pages 471-512

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Cite this article:
Mai X, Zhong Y, Li L. The Crossover strategy integrated Secretary Bird Optimization Algorithm and its application in engineering design problems. Electronic Research Archive, 2025, 33(1): 471-512. https://doi.org/10.3934/era.2025023

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Received: 31 October 2024
Revised: 31 December 2024
Accepted: 14 January 2025
Published: 15 January 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)