An Improved Reptile Search Algorithm Based on Lévy Flight and Interactive Crossover Strategy to Engineering Application

Liqiong Huang, Yuanyuan Wang, Yuxuan Guo and Gang Hu
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Liqiong Huang: College of Mathematics and Computer Application, Shangluo University, Shangluo 726000, China
Yuanyuan Wang: Electronic Information and Electrical Engineering College, Shangluo University, Shangluo 726000, China
Yuxuan Guo: Department of Applied Mathematics, Xi’an University of Technology, Xi’an 710054, China
Gang Hu: Department of Applied Mathematics, Xi’an University of Technology, Xi’an 710054, China

Mathematics, 2022, vol. 10, issue 13, 1-39

Abstract: In this paper, we propose a reptile search algorithm based on Lévy flight and interactive crossover strategy (LICRSA), and the improved algorithm is employed to improve the problems of poor convergence accuracy and slow iteration speed of the reptile search algorithm. First, the proposed algorithm increases the variety and flexibility of the people by introducing the Lévy flight strategy to prevent premature convergence and improve the robustness of the population. Secondly, an iteration-based interactive crossover strategy is proposed, inspired by the crossover operator and the difference operator. This strategy is applied to the reptile search algorithm (RSA), and the convergence accuracy of the algorithm is significantly improved. Finally, the improved algorithm is extensively tested using 2 test sets: 23 benchmark test functions and 10 CEC2020 functions, and 5 complex mechanical engineering optimization problems. The numerical results show that LICRSA outperforms RSA in 15 (65%) and 10 (100%) of the 2 test sets, respectively. In addition, LICRSA performs best in 10 (43%) and 4 (40%) among all algorithms. Meanwhile, the enhanced algorithm shows superiority and stability in handling engineering optimization.

Keywords: reptile search algorithm; Lévy flight; interactive crossover strategy; benchmark; engineering optimization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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