A generalized evolutionary metaheuristic (GEM) algorithm for engineering optimization

Xinrui Yang
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Abstract

Many optimization problems in engineering and industrial design applications can be formulated as optimization problems with highly nonlinear objectives, subject to multiple complex constraints. Solving such optimization problems requires sophisticated algorithms and optimization techniques. A major trend in recent years is the use of nature-inspired metaheustic algorithms (NIMA). Despite the popularity of nature-inspired metaheuristic algorithms, there are still some challenging issues and open problems to be resolved. Two main issues related to current NIMAs are: there are over 540 algorithms in the literature, and there is no unified framework to understand the search mechanisms of different algorithms. Therefore, this paper attempts to analyse some similarities and differences among different algorithms and then presents a generalized evolutionary metaheuristic (GEM) in an attempt to unify some of the existing algorithms. After a brief discussion of some insights into nature-inspired algorithms and some open problems, we propose a generalized evolutionary metaheuristic algorithm to unify more than 20 different algorithms so as to understand their main steps and search mechanisms. We then test the unified GEM using 15 test benchmarks to validate its performance. Finally, further research topics are briefly discussed.
工程优化的广义进化元启发式(GEM)算法
工程和工业设计应用中的许多优化问题都可以表述为具有高度非线性目标的优化问题,并受到多个复杂约束条件的限制。解决这类优化问题需要复杂的算法和优化技术。近年来的一个主要趋势是使用自然启发元修斯算法(NIMA)。尽管自然启发元搜索算法很受欢迎,但仍有一些具有挑战性的问题和悬而未决的难题有待解决。与当前 NIMA 相关的两个主要问题是:文献中有超过 540 种算法;没有统一的框架来理解不同算法的搜索机制。因此,本文试图分析不同算法之间的一些异同,然后提出一种广义进化元启发式(GEM),试图统一现有的一些算法。在简要讨论了对自然启发算法的一些见解和一些开放性问题之后,我们提出了一种广义进化元启发式算法,以统一 20 多种不同的算法,从而了解它们的主要步骤和搜索机制。然后,我们使用 15 个测试基准对统一的 GEM 进行测试,以验证其性能。最后,我们简要讨论了进一步的研究课题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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