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基于镜像反射和最差个体扰动灰狼优化器的混沌对抗学习用于连续全局数值优化

Chaotic opposition learning with mirror reflection and worst individual disturbance grey wolf optimizer for continuous global numerical optimization.

作者信息

Adegboye Oluwatayomi Rereloluwa, Feda Afi Kekeli, Ojekemi Opeoluwa Seun, Agyekum Ephraim Bonah, Hussien Abdelazim G, Kamel Salah

机构信息

Management Information Systems, University of Mediterranean Karpasia, Mersin-10, Turkey.

Management Information System Department, European University of Lefke, Mersin-10, Turkey.

出版信息

Sci Rep. 2024 Feb 26;14(1):4660. doi: 10.1038/s41598-024-55040-6.

Abstract

The effective meta-heuristic technique known as the grey wolf optimizer (GWO) has shown its proficiency. However, due to its reliance on the alpha wolf for guiding the position updates of search agents, the risk of being trapped in a local optimal solution is notable. Furthermore, during stagnation, the convergence of other search wolves towards this alpha wolf results in a lack of diversity within the population. Hence, this research introduces an enhanced version of the GWO algorithm designed to tackle numerical optimization challenges. The enhanced GWO incorporates innovative approaches such as Chaotic Opposition Learning (COL), Mirror Reflection Strategy (MRS), and Worst Individual Disturbance (WID), and it's called CMWGWO. MRS, in particular, empowers certain wolves to extend their exploration range, thus enhancing the global search capability. By employing COL, diversification is intensified, leading to reduced solution stagnation, improved search precision, and an overall boost in accuracy. The integration of WID fosters more effective information exchange between the least and most successful wolves, facilitating a successful exit from local optima and significantly enhancing exploration potential. To validate the superiority of CMWGWO, a comprehensive evaluation is conducted. A wide array of 23 benchmark functions, spanning dimensions from 30 to 500, ten CEC19 functions, and three engineering problems are used for experimentation. The empirical findings vividly demonstrate that CMWGWO surpasses the original GWO in terms of convergence accuracy and robust optimization capabilities.

摘要

被称为灰狼优化器(GWO)的有效元启发式技术已展现出其卓越性。然而,由于其依赖阿尔法狼来指导搜索代理的位置更新,陷入局部最优解的风险较为显著。此外,在停滞期间,其他搜索狼向这只阿尔法狼的收敛导致种群内缺乏多样性。因此,本研究引入了一种增强版的GWO算法,旨在应对数值优化挑战。增强版GWO纳入了诸如混沌反向学习(COL)、镜像反射策略(MRS)和最差个体干扰(WID)等创新方法,它被称为CMWGWO。特别是MRS,使某些狼能够扩展其探索范围,从而增强全局搜索能力。通过采用COL,多样性得到增强,导致解的停滞减少、搜索精度提高以及整体准确性提升。WID的整合促进了最不成功和最成功的狼之间更有效的信息交换,有助于成功摆脱局部最优并显著增强探索潜力。为了验证CMWGWO的优越性,进行了全面评估。使用了23个基准函数(维度从30到500)、十个CEC19函数和三个工程问题进行实验。实证结果生动地表明,CMWGWO在收敛精度和鲁棒优化能力方面超过了原始的GWO。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c259/10897155/bfa6325eb883/41598_2024_55040_Fig1_HTML.jpg

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