一种受新冠病毒启发的用于实参数优化的新型元启发式算法。

A novel metaheuristic algorithm inspired by COVID-19 for real-parameter optimization.

作者信息

Kadkhoda Mohammadi Soleiman, Nazarpour Daryoush, Beiraghi Mojtaba

机构信息

Department of Electrical Engineering, Urmia Branch, Islamic Azad University, Urmia, Iran.

Department of Electrical Engineering, Urmia University, Urmia, Iran.

出版信息

Neural Comput Appl. 2023;35(14):10147-10196. doi: 10.1007/s00521-023-08229-1. Epub 2023 Mar 9.

Abstract

In this modern world, we are encountered with numerous complex and emerging problems. The metaheuristic optimization science plays a key role in many fields from medicine to engineering, design, etc. Metaheuristic algorithms inspired by nature are among the most effective and fastest optimization methods utilized to optimize different objective functions to minimize or maximize one or more specific objectives. The use of metaheuristic algorithms and their modified versions is expanding every day. However, due to the abundance and complexity of various problems in the real world, it is always necessary to select the most proper metaheuristic method; hence, there is a strong need to create new algorithms to achieve our desired goal. In this paper, a new and powerful metaheuristic algorithm, called the coronavirus metamorphosis optimization algorithm (CMOA), is proposed based on metabolism and transformation under various conditions. The proposed CMOA algorithm has been tested and implemented on the comprehensive and complex CEC2014 benchmark functions, which are functions based on real-world problems. The results of the experiments in a comparative study under the same conditions show that the CMOA is superior to the newly-developed metaheuristic algorithms including AIDO, ITGO, RFOA, SCA, CSA, CS, SOS, GWO, WOA, MFO, PSO, Jaya, CMA-ES, GSA, RW-GWO, mTLBO, MG-SCA, TOGPEAe, m-SCA, EEO and OB-L-EO, indicating the effectiveness and robustness of the CMOA algorithm as a powerful algorithm. As it was observed from the results, the CMOA provides more suitable and optimized solutions than its competitors for the problems studied. The CMOA preserves the diversity of the population and prevents trapping in local optima. The CMOA is also applied to three engineering problems including optimal design of a welded beam, a three-bar truss and a pressure vessel, showing its high potential in solving such practical problems and effectiveness in finding global optima. According to the obtained results, the CMOA is superior to its counterparts in terms of providing a more acceptable solution. Several statistical indicators are also tested using the CMOA, which demonstrates its efficiency compared to the rest of the methods. This is also highlighted that the CMOA is a stable and reliable method when employed for expert systems.

摘要

在当今这个现代世界,我们面临着众多复杂且新出现的问题。元启发式优化科学在从医学到工程、设计等诸多领域都发挥着关键作用。受自然启发的元启发式算法是用于优化不同目标函数以最小化或最大化一个或多个特定目标的最有效且最快的优化方法之一。元启发式算法及其改进版本的应用日益广泛。然而,由于现实世界中各种问题的丰富性和复杂性,始终有必要选择最合适的元启发式方法;因此,迫切需要创建新的算法来实现我们期望的目标。本文基于各种条件下的新陈代谢和转变,提出了一种新的强大元启发式算法,即冠状病毒蜕变优化算法(CMOA)。所提出的CMOA算法已在基于实际问题的综合且复杂的CEC2014基准函数上进行了测试和实现。在相同条件下的对比研究实验结果表明,CMOA优于新开发的元启发式算法,包括AIDO、ITGO、RFOA、SCA、CSA、CS、SOS、GWO、WOA、MFO、PSO、Jaya、CMA - ES、GSA、RW - GWO、mTLBO、MG - SCA、TOGPEAe、m - SCA、EEO和OB - L - EO,表明CMOA算法作为一种强大算法的有效性和鲁棒性。从结果可以看出,对于所研究的问题,CMOA比其竞争对手提供了更合适且优化的解决方案。CMOA保持了种群的多样性并防止陷入局部最优。CMOA还应用于三个工程问题,包括焊接梁的优化设计、三杆桁架和压力容器,显示出其在解决此类实际问题方面的巨大潜力以及在寻找全局最优解方面的有效性。根据所得结果,在提供更可接受的解决方案方面,CMOA优于其同类算法。还使用CMOA测试了几个统计指标,这证明了它与其他方法相比的效率。这也突出表明,当用于专家系统时,CMOA是一种稳定且可靠的方法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/75c8/9996600/0f0284144a48/521_2023_8229_Fig1_HTML.jpg

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