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Article

Dynamic Niches-Based Hybrid Breeding Optimization Algorithm for Solving Multi-Modal Optimization Problem

1
School of Computer Science, Hubei University of Technology, Wuhan 430068, China
2
Wuhan Fiberhome Technical Services Co., Ltd., Wuhan 430205, China
3
Xining Big Data Service Administration, Xining 810000, China
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(17), 2779; https://doi.org/10.3390/math12172779
Submission received: 31 July 2024 / Revised: 4 September 2024 / Accepted: 5 September 2024 / Published: 8 September 2024

Abstract

Some problems exist in classical optimization algorithms to solve multi-modal optimization problems and other complex systems. A Dynamic Niches-based Improved Hybrid Breeding Optimization (DNIHBO) algorithm is proposed to address the multi-modal optimization problem in the paper. By dynamically adjusting the niche scale, it effectively addresses the issue of niche parameter sensitivity. The structure of the algorithm includes three distinct groups: maintainer, restorer, and sterile lines for updating operations. However, the maintainer individuals often stagnate, leading to the risk of the local optima. To overcome this, neighborhood search and elite mutation strategies are incorporated, enhancing the balance between exploration and exploitation. To further improve individual utilization within niches, a niche restart strategy is introduced, ensuring sustained population diversity. The efficacy of DNIHBO is validated through simulations on 16 multi-modal test functions, followed by comparative analyses with various multi-modal optimization algorithms. The results convincingly demonstrate that DNIHBO not only effectively locates multiple global optima but also consistently outperforms other algorithms on test functions. These findings underscore the superiority of DNIHBO as a high-performing solution for multi-modal optimization.
Keywords: multi-modal optimization; hybrid breeding optimization algorithm; dynamic niche; neighborhood search; elite mutation multi-modal optimization; hybrid breeding optimization algorithm; dynamic niche; neighborhood search; elite mutation

Share and Cite

MDPI and ACS Style

Cai, T.; Qiao, Z.; Ye, Z.; Pan, H.; Wang, M.; Zhou, W.; He, Q.; Zhang, P.; Bai, W. Dynamic Niches-Based Hybrid Breeding Optimization Algorithm for Solving Multi-Modal Optimization Problem. Mathematics 2024, 12, 2779. https://doi.org/10.3390/math12172779

AMA Style

Cai T, Qiao Z, Ye Z, Pan H, Wang M, Zhou W, He Q, Zhang P, Bai W. Dynamic Niches-Based Hybrid Breeding Optimization Algorithm for Solving Multi-Modal Optimization Problem. Mathematics. 2024; 12(17):2779. https://doi.org/10.3390/math12172779

Chicago/Turabian Style

Cai, Ting, Ziteng Qiao, Zhiwei Ye, Hu Pan, Mingwei Wang, Wen Zhou, Qiyi He, Peng Zhang, and Wanfang Bai. 2024. "Dynamic Niches-Based Hybrid Breeding Optimization Algorithm for Solving Multi-Modal Optimization Problem" Mathematics 12, no. 17: 2779. https://doi.org/10.3390/math12172779

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