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.
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
Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details
here.
Article Metrics
Article Access Statistics
For more information on the journal statistics, click
here.
Multiple requests from the same IP address are counted as one view.