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基于混沌映射的自然启发式算法综述。

Review of chaotic mapping enabled nature-inspired algorithms.

作者信息

Gao Zheng-Ming, Zhao Juan, Zhang Yu-Jun

机构信息

School of computer engineering, Jingchu university of technology, Jingmen 448000, China.

School of electronics and information engineering, Jingchu university of technology, Jingmen 448000, China.

出版信息

Math Biosci Eng. 2022 Jun 6;19(8):8215-8258. doi: 10.3934/mbe.2022383.

Abstract

Chaotic maps were frequently introduced to generate random numbers and used to replace the pseudo-random numbers distributed in Gauss distribution in computer engineering. These improvements in optimization were called the chaotic improved optimization algorithm, most of them were reported better in literature. In this paper, we collected 19 classical maps which could all generate pseudo-random numbers in an interval between 0 and 1. Four types of chaotic improvement to original optimization algorithms were summarized and simulation experiments were carried out. The classical grey wolf optimization (GWO) and sine cosine (SC) algorithms were involved in these experiments. The final simulation results confirmed an uncertainty about the performance of improvements applied in different algorithms, different types of improvements, or benchmark functions. However, Results confirmed that Bernoulli map might be a better choice for most time. The code related to this paper is shared with https://gitee.com/lvqing323/chaotic-mapping.

摘要

混沌映射经常被引入以生成随机数,并用于在计算机工程中替代服从高斯分布的伪随机数。这些优化方面的改进被称为混沌改进优化算法,其中大多数在文献中被报道效果更好。在本文中,我们收集了19种经典映射,它们都能在0到1的区间内生成伪随机数。总结了对原始优化算法的四种混沌改进类型,并进行了模拟实验。这些实验涉及经典的灰狼优化(GWO)算法和正弦余弦(SC)算法。最终的模拟结果证实了在不同算法、不同类型的改进或基准函数中应用改进后的性能存在不确定性。然而,结果证实伯努利映射在大多数情况下可能是更好的选择。与本文相关的代码可在https://gitee.com/lvqing323/chaotic-mapping上获取。

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