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用于复杂无偏优化的增强型甲虫触角搜索算法

Enhanced beetle antennae search algorithm for complex and unbiased optimization.

作者信息

Qian Qian, Deng Yi, Sun Hui, Pan Jiawen, Yin Jibin, Feng Yong, Fu Yunfa, Li Yingna

机构信息

Yunnan Key Laboratory of Computer Technology Applications, Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, 650500 China.

Faculty of Foreign Languages and Cultures, Kunming University of Science and Technology, Kunming, 650500 China.

出版信息

Soft comput. 2022;26(19):10331-10369. doi: 10.1007/s00500-022-07388-y. Epub 2022 Aug 21.

Abstract

Beetle Antennae Search algorithm is a kind of intelligent optimization algorithms, which has the advantages of few parameters and simplicity. However, due to its inherent limitations, BAS has poor performance in complex optimization problems. The existing improvements of BAS are mainly based on the utilization of multiple beetles or combining BAS with other algorithms. The present study improves BAS from its origin and keeps the simplicity of the algorithm. First, an adaptive step size reduction method is used to increase the usability of the algorithm, which is based on an accurate factor and curvilinearly reduces the step size; second, the calculated information of fitness functions during each iteration are fully utilized with a contemporary optimal update strategy to promote the optimization processes; third, the theoretical analysis of the multi-directional sensing method is conducted and utilized to further improve the efficiency of the algorithm. Finally, the proposed Enhanced Beetle Antennae Search algorithm is compared with many other algorithms based on unbiased test functions. The test functions are unbiased when their solution space does not contain simple patterns, which may be used to facilitate the searching processes. As a result, EBAS outperformed BAS with at least 1 orders of magnitude difference. The performance of EBAS was even better than several state-of-the-art swarm-based algorithms, such as Slime Mold Algorithm and Grey Wolf Optimization, with similar running times. In addition, a WSN coverage optimization problem is tested to demonstrate the applicability of EBAS on real-world optimizations.

摘要

甲虫触角搜索算法是一种智能优化算法,具有参数少、简单的优点。然而,由于其固有的局限性,该算法在复杂优化问题中性能较差。现有的对甲虫触角搜索算法的改进主要基于多甲虫的利用或与其他算法相结合。本研究从算法根源对其进行改进,并保持算法的简单性。首先,采用自适应步长缩减方法来提高算法的实用性,该方法基于一个精确因子并曲线式地减小步长;其次,通过当代最优更新策略充分利用每次迭代中适应度函数的计算信息,以促进优化过程;第三,对多方向传感方法进行理论分析并加以利用,以进一步提高算法效率。最后,基于无偏测试函数将提出的增强型甲虫触角搜索算法与许多其他算法进行比较。当测试函数的解空间不包含简单模式时,它们是无偏的,这有助于搜索过程。结果表明,增强型甲虫触角搜索算法比甲虫触角搜索算法至少有1个数量级的优势。在相似的运行时间下,增强型甲虫触角搜索算法的性能甚至优于几种基于群体的先进算法,如黏菌算法和灰狼优化算法。此外,通过测试无线传感器网络覆盖优化问题来证明增强型甲虫触角搜索算法在实际优化中的适用性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d9c7/9392993/a6d8ad5098c6/500_2022_7388_Fig1_HTML.jpg

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