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Article

A New Hybrid Improved Kepler Optimization Algorithm Based on Multi-Strategy Fusion and Its Applications

1
School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China
2
Southwest United Graduate School, Kunming 650092, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(3), 405; https://doi.org/10.3390/math13030405
Submission received: 1 January 2025 / Revised: 15 January 2025 / Accepted: 19 January 2025 / Published: 26 January 2025
(This article belongs to the Special Issue Metaheuristic Algorithms, 2nd Edition)

Abstract

The Kepler optimization algorithm (KOA) is a metaheuristic algorithm based on Kepler’s laws of planetary motion and has demonstrated outstanding performance in multiple test sets and for various optimization issues. However, the KOA is hampered by the limitations of insufficient convergence accuracy, weak global search ability, and slow convergence speed. To address these deficiencies, this paper presents a multi-strategy fusion Kepler optimization algorithm (MKOA). Firstly, the algorithm initializes the population using Good Point Set, enhancing population diversity. Secondly, Dynamic Opposition-Based Learning is applied for population individuals to further improve its global exploration effectiveness. Furthermore, we introduce the Normal Cloud Model to perturb the best solution, improving its convergence rate and accuracy. Finally, a new position-update strategy is introduced to balance local and global search, helping KOA escape local optima. To test the performance of the MKOA, we uses the CEC2017 and CEC2019 test suites for testing. The data indicate that the MKOA has more advantages than other algorithms in terms of practicality and effectiveness. Aiming at the engineering issue, this study selected three classic engineering cases. The results reveal that the MKOA demonstrates strong applicability in engineering practice.
Keywords: Kepler optimization algorithm; good point set; normal cloud model; opposition-based learning Kepler optimization algorithm; good point set; normal cloud model; opposition-based learning

Share and Cite

MDPI and ACS Style

Qian, Z.; Zhang, Y.; Pu, D.; Xie, G.; Pu, D.; Ye, M. A New Hybrid Improved Kepler Optimization Algorithm Based on Multi-Strategy Fusion and Its Applications. Mathematics 2025, 13, 405. https://doi.org/10.3390/math13030405

AMA Style

Qian Z, Zhang Y, Pu D, Xie G, Pu D, Ye M. A New Hybrid Improved Kepler Optimization Algorithm Based on Multi-Strategy Fusion and Its Applications. Mathematics. 2025; 13(3):405. https://doi.org/10.3390/math13030405

Chicago/Turabian Style

Qian, Zhenghong, Yaming Zhang, Dongqi Pu, Gaoyuan Xie, Die Pu, and Mingjun Ye. 2025. "A New Hybrid Improved Kepler Optimization Algorithm Based on Multi-Strategy Fusion and Its Applications" Mathematics 13, no. 3: 405. https://doi.org/10.3390/math13030405

APA Style

Qian, Z., Zhang, Y., Pu, D., Xie, G., Pu, D., & Ye, M. (2025). A New Hybrid Improved Kepler Optimization Algorithm Based on Multi-Strategy Fusion and Its Applications. Mathematics, 13(3), 405. https://doi.org/10.3390/math13030405

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