Hybrid Harmony Search Optimization Algorithm for Continuous Functions

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Mathematical & Computational Applications Pub Date : 2023-02-22 DOI:10.3390/mca28020029
J. A. Brambila-Hernández, Miguel Ángel García-Morales, H. Fraire-Huacuja, Eduardo Villegas-Huerta, Armando Becerra-del-Ángel
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引用次数: 1

Abstract

This paper proposes a hybrid harmony search algorithm that incorporates a method of reinitializing harmonies memory using a particle swarm optimization algorithm with an improved opposition-based learning method (IOBL) to solve continuous optimization problems. This method allows the algorithm to obtain better results by increasing the search space of the solutions. This approach has been validated by comparing the performance of the proposed algorithm with that of a state-of-the-art harmony search algorithm, solving fifteen standard mathematical functions, and applying the Wilcoxon parametric test at a 5% significance level. The state-of-the-art algorithm uses an opposition-based improvement method (IOBL). Computational experiments show that the proposed algorithm outperforms the state-of-the-art algorithm. In quality, it is better in fourteen of the fifteen instances, and in efficiency is better in seven of fifteen instances.
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连续函数的混合和谐搜索优化算法
本文提出了一种混合和声搜索算法,该算法采用粒子群优化算法和改进的基于对立的学习方法(IOBL)重新初始化和声记忆的方法来解决连续优化问题。该方法通过增大解的搜索空间使算法获得更好的结果。通过将提出的算法的性能与最先进的和谐搜索算法的性能进行比较,解决了15个标准数学函数,并在5%的显著性水平上应用Wilcoxon参数检验,验证了该方法。最先进的算法使用基于对立的改进方法(IOBL)。计算实验表明,该算法优于现有算法。在质量方面,15例中有14例比较好,在效率方面,15例中有7例比较好。
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来源期刊
Mathematical & Computational Applications
Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
自引率
10.50%
发文量
86
审稿时长
12 weeks
期刊介绍: Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.
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