Memory-Based Differential Evolution Algorithms with Self-Adaptive Parameters for Optimization Problems

In this study, twelve modified differential evolution algorithms with memory properties and adaptive parameters were proposed to address optimization problems. In the experimental process, these modified differential evolution algorithms were applied to 23 continuous test functions. The results indi...

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Main Authors: Shang-Kuan Chen, Gen-Han Wu, Yu-Hsuan Wu
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/10/1647
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author Shang-Kuan Chen
Gen-Han Wu
Yu-Hsuan Wu
author_facet Shang-Kuan Chen
Gen-Han Wu
Yu-Hsuan Wu
author_sort Shang-Kuan Chen
collection DOAJ
description In this study, twelve modified differential evolution algorithms with memory properties and adaptive parameters were proposed to address optimization problems. In the experimental process, these modified differential evolution algorithms were applied to 23 continuous test functions. The results indicate that MBDE2 and IHDE-BPSO3 outperform the original differential evolution algorithm and its extended variants, consistently achieving optimal solutions in most cases. The findings suggest that the proposed improved differential evolution algorithm is highly adaptable across various problems, yielding superior results. Additionally, integrating memory properties significantly enhances the algorithm’s performance and effectiveness.
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spelling doaj-art-bceaa66920a5464aa67f02a3dbcdbb912025-08-20T03:14:36ZengMDPI AGMathematics2227-73902025-05-011310164710.3390/math13101647Memory-Based Differential Evolution Algorithms with Self-Adaptive Parameters for Optimization ProblemsShang-Kuan Chen0Gen-Han Wu1Yu-Hsuan Wu2Department of Computer Science & Engineering, Yuan Ze University, Taoyuan 32003, TaiwanDepartment of Industrial Engineering & Engineering, Yuan Ze University, Taoyuan 32003, TaiwanDepartment of Industrial Engineering & Engineering, Yuan Ze University, Taoyuan 32003, TaiwanIn this study, twelve modified differential evolution algorithms with memory properties and adaptive parameters were proposed to address optimization problems. In the experimental process, these modified differential evolution algorithms were applied to 23 continuous test functions. The results indicate that MBDE2 and IHDE-BPSO3 outperform the original differential evolution algorithm and its extended variants, consistently achieving optimal solutions in most cases. The findings suggest that the proposed improved differential evolution algorithm is highly adaptable across various problems, yielding superior results. Additionally, integrating memory properties significantly enhances the algorithm’s performance and effectiveness.https://www.mdpi.com/2227-7390/13/10/1647differential evolutionparticle swarm optimizationself-adaptive parametersoptimization
spellingShingle Shang-Kuan Chen
Gen-Han Wu
Yu-Hsuan Wu
Memory-Based Differential Evolution Algorithms with Self-Adaptive Parameters for Optimization Problems
Mathematics
differential evolution
particle swarm optimization
self-adaptive parameters
optimization
title Memory-Based Differential Evolution Algorithms with Self-Adaptive Parameters for Optimization Problems
title_full Memory-Based Differential Evolution Algorithms with Self-Adaptive Parameters for Optimization Problems
title_fullStr Memory-Based Differential Evolution Algorithms with Self-Adaptive Parameters for Optimization Problems
title_full_unstemmed Memory-Based Differential Evolution Algorithms with Self-Adaptive Parameters for Optimization Problems
title_short Memory-Based Differential Evolution Algorithms with Self-Adaptive Parameters for Optimization Problems
title_sort memory based differential evolution algorithms with self adaptive parameters for optimization problems
topic differential evolution
particle swarm optimization
self-adaptive parameters
optimization
url https://www.mdpi.com/2227-7390/13/10/1647
work_keys_str_mv AT shangkuanchen memorybaseddifferentialevolutionalgorithmswithselfadaptiveparametersforoptimizationproblems
AT genhanwu memorybaseddifferentialevolutionalgorithmswithselfadaptiveparametersforoptimizationproblems
AT yuhsuanwu memorybaseddifferentialevolutionalgorithmswithselfadaptiveparametersforoptimizationproblems