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Hybrid Harmony Search Algorithm Integrating Differential Evolution and Lévy Flight for Engineering Optimization

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...

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Main Authors: Qin, Feng, AZLAN, MOHD ZAIN, KAI-QING, ZHOU, Norfadzlan, Yusup, DIDIK DWI, PRASETYA, ROZITA, ABDUL JALIL, ZAHEERA, ZAINAL ABIDIN, MAHADI, BAHARI, YUSRI, KAMIN, MAZLINA, ABDUL MAJID
Format: Article
Language:English
Published: IEEE 2025
Subjects:
QA Mathematics
QA75 Electronic computers. Computer science
Online Access:http://ir.unimas.my/id/eprint/47426/1/Hybrid_Harmony_Search_Algorithm_Integrating_Differential_Evolution_and_Lvy_Flight_for_Engineering_Optimization.pdf
http://ir.unimas.my/id/eprint/47426/
https://ieeexplore.ieee.org/document/10840216/authors#authors
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spelling my.unimas.ir-474262025-01-28T05:54:06Z http://ir.unimas.my/id/eprint/47426/ Hybrid Harmony Search Algorithm Integrating Differential Evolution and Lévy Flight for Engineering Optimization Qin, Feng AZLAN, MOHD ZAIN KAI-QING, ZHOU Norfadzlan, Yusup DIDIK DWI, PRASETYA ROZITA, ABDUL JALIL ZAHEERA, ZAINAL ABIDIN MAHADI, BAHARI YUSRI, KAMIN MAZLINA, ABDUL MAJID QA Mathematics QA75 Electronic computers. Computer science 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 HSADELF. 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. IEEE 2025-01-14 Article PeerReviewed text en http://ir.unimas.my/id/eprint/47426/1/Hybrid_Harmony_Search_Algorithm_Integrating_Differential_Evolution_and_Lvy_Flight_for_Engineering_Optimization.pdf Qin, Feng and AZLAN, MOHD ZAIN and KAI-QING, ZHOU and Norfadzlan, Yusup and DIDIK DWI, PRASETYA and ROZITA, ABDUL JALIL and ZAHEERA, ZAINAL ABIDIN and MAHADI, BAHARI and YUSRI, KAMIN and MAZLINA, ABDUL MAJID (2025) Hybrid Harmony Search Algorithm Integrating Differential Evolution and Lévy Flight for Engineering Optimization. IEEE Access, 13. pp. 13534-13572. ISSN 2169-3536 https://ieeexplore.ieee.org/document/10840216/authors#authors DOI: 10.1109/ACCESS.2025.3529714
institution Universiti Malaysia Sarawak
building Centre for Academic Information Services (CAIS)
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sarawak
content_source UNIMAS Institutional Repository
url_provider http://ir.unimas.my/
language English
topic QA Mathematics
QA75 Electronic computers. Computer science
spellingShingle QA Mathematics
QA75 Electronic computers. Computer science
Qin, Feng
AZLAN, MOHD ZAIN
KAI-QING, ZHOU
Norfadzlan, Yusup
DIDIK DWI, PRASETYA
ROZITA, ABDUL JALIL
ZAHEERA, ZAINAL ABIDIN
MAHADI, BAHARI
YUSRI, KAMIN
MAZLINA, ABDUL MAJID
Hybrid Harmony Search Algorithm Integrating Differential Evolution and Lévy Flight for Engineering Optimization
description 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 HSADELF. 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.
format Article
author Qin, Feng
AZLAN, MOHD ZAIN
KAI-QING, ZHOU
Norfadzlan, Yusup
DIDIK DWI, PRASETYA
ROZITA, ABDUL JALIL
ZAHEERA, ZAINAL ABIDIN
MAHADI, BAHARI
YUSRI, KAMIN
MAZLINA, ABDUL MAJID
author_facet Qin, Feng
AZLAN, MOHD ZAIN
KAI-QING, ZHOU
Norfadzlan, Yusup
DIDIK DWI, PRASETYA
ROZITA, ABDUL JALIL
ZAHEERA, ZAINAL ABIDIN
MAHADI, BAHARI
YUSRI, KAMIN
MAZLINA, ABDUL MAJID
author_sort Qin, Feng
title Hybrid Harmony Search Algorithm Integrating Differential Evolution and Lévy Flight for Engineering Optimization
title_short Hybrid Harmony Search Algorithm Integrating Differential Evolution and Lévy Flight for Engineering Optimization
title_full Hybrid Harmony Search Algorithm Integrating Differential Evolution and Lévy Flight for Engineering Optimization
title_fullStr Hybrid Harmony Search Algorithm Integrating Differential Evolution and Lévy Flight for Engineering Optimization
title_full_unstemmed Hybrid Harmony Search Algorithm Integrating Differential Evolution and Lévy Flight for Engineering Optimization
title_sort hybrid harmony search algorithm integrating differential evolution and lévy flight for engineering optimization
publisher IEEE
publishDate 2025
url http://ir.unimas.my/id/eprint/47426/1/Hybrid_Harmony_Search_Algorithm_Integrating_Differential_Evolution_and_Lvy_Flight_for_Engineering_Optimization.pdf
http://ir.unimas.my/id/eprint/47426/
https://ieeexplore.ieee.org/document/10840216/authors#authors
_version_ 1822896191407390720
score 13.235362

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