Feng Qin, Azlan Mohd Zain, Kai-Qing Zhou, Norfadzlan Bin Yusup, Didik Dwi Prasetya, Rozita Abdul Jalil, Zaheera Zainal Abidin, Mahadi Bahari, Yusri Kamin, Mazlina Abdul Majid
Harmony search algorithm (HSA) is extensively utilized in engineering optimization. Nevertheless, it encounters problems of slow convergence and reduced accuracy, which hinder its capability to escape local optima. This paper proposes HSA-DELF, a novel hybrid algorithm that combines differential evolution (DE) and Lévy flight (LF) techniques to enhance the performance of HSA. HSA-DELF leverages multi-mutation strategies of DE and LF random walk combined with weighted individuals to improve exploration and exploitation based on population fitness standard deviation comparison, and adopts pairwise iterative updates of the population to achieve faster convergence and higher solution quality. Extensive experiments were conducted to validate performance on 23 classic benchmark functions and 12 CEC 2022 benchmark functions, followed by comprehensive testing on 7 engineering problems, demonstrating the superiority of HSA-DELF. Comparative analysis with 5 well-known algorithms (HSA, DE, CSA, GA, and PSO) and 4 HSA variants (IHS, MHSA, IHSDE, and IMGHSA) confirmed the robustness of HSA-DELF. Statistical results, including best, mean, standard deviation, and worst values, consistently highlight the superior performance of HSA-DELF in terms of convergence speed, solution quality, and robustness. The Wilcoxon signed-rank test further corroborated these significant advantages. HSA-DELF showed notable improvements in 6 out of 7 engineering problems, achieving an accuracy of 85.71%. This study establishes HSA-DELF as an effective and reliable method for solving complex engineering optimization problems. © 2013 IEEE.
Universiti Teknologi Malaysia, Faculty of Computing, Johor Bahru, 81310, Malaysia; Jishou University, School of Communication and Electronic Engineering, Jishou, 416000, China; Universiti Malaysia Sarawak, Faculty of Computer Science and Information Technology, Kota Samarahan, 94300, Malaysia; State University of Malang, Faculty of Engineering, Malang, 65145, Indonesia; Universiti Tun Hussein Onn Malaysia, Faculty of Computer Science and Information Technology, Johor, Parit Raja, 86400, Malaysia; Universiti Teknikal Malaysia Melaka, Faculty of Information and Communication Technology, Durian Tunggal, 76100, Malaysia; Universiti Teknologi Malaysia, Faculty of Management, Johor Bahru, 81310, Malaysia; Universiti Teknologi Malaysia, Faculty of Social Sciences and Humanities, Johor Bahru, 81310, Malaysia; Universiti Malaysia Pahang Al-Sultan Abdullah, Faculty of Computing, Pahang, Gambang, 26300, Malaysia
