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Article

Cosmic Evolution Optimization: A Novel Metaheuristic Algorithm for Numerical Optimization and Engineering Design

School of Electronics and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
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Author to whom correspondence should be addressed.
Mathematics 2025, 13(15), 2499; https://doi.org/10.3390/math13152499 (registering DOI)
Submission received: 7 June 2025 / Revised: 13 July 2025 / Accepted: 30 July 2025 / Published: 3 August 2025

Abstract

This study proposes a novel metaheuristic algorithm, Cosmic Evolution Optimization (CEO), for numerical optimization and engineering design. Inspired by the cosmic evolution process, CEO simulates physical phenomena including cosmic expansion, universal gravitation, stellar system interactions, and celestial orbital resonance.The algorithm introduces a multi-stellar framework system, which incorporates search agents into distinct subsystems to perform simultaneous exploration or exploitation behaviors, thereby enhancing diversity and parallel exploration capabilities. Specifically, the CEO algorithm was compared against ten state-of-the-art metaheuristic algorithms on 29 typical unconstrained benchmark problems from CEC2017 across different dimensions and 13 constrained real-world optimization problems from CEC2020. Statistical validations through the Friedman test, the Wilcoxon rank-sum test, and other statistical methods have confirmed the competitiveness and effectiveness of the CEO algorithm. Notably, it achieved a comprehensive Friedman rank of 1.28/11, and the winning rate in the Wilcoxon rank-sum tests exceeded 80% in CEC2017. Furthermore, CEO demonstrated outstanding performance in practical engineering applications such as robot path planning and photovoltaic system parameter extraction, further verifying its efficiency and broad application potential in solving real-world engineering challenges.
Keywords: metaheuristic; algorithm; cosmos; physics; engineering application metaheuristic; algorithm; cosmos; physics; engineering application

Share and Cite

MDPI and ACS Style

Wang, R.; Jiang, Z.; Ding, G. Cosmic Evolution Optimization: A Novel Metaheuristic Algorithm for Numerical Optimization and Engineering Design. Mathematics 2025, 13, 2499. https://doi.org/10.3390/math13152499

AMA Style

Wang R, Jiang Z, Ding G. Cosmic Evolution Optimization: A Novel Metaheuristic Algorithm for Numerical Optimization and Engineering Design. Mathematics. 2025; 13(15):2499. https://doi.org/10.3390/math13152499

Chicago/Turabian Style

Wang, Rui, Zhengxuan Jiang, and Guowen Ding. 2025. "Cosmic Evolution Optimization: A Novel Metaheuristic Algorithm for Numerical Optimization and Engineering Design" Mathematics 13, no. 15: 2499. https://doi.org/10.3390/math13152499

APA Style

Wang, R., Jiang, Z., & Ding, G. (2025). Cosmic Evolution Optimization: A Novel Metaheuristic Algorithm for Numerical Optimization and Engineering Design. Mathematics, 13(15), 2499. https://doi.org/10.3390/math13152499

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