Trojovský Pavel, Dehghani Mohammad
Department of Mathematics, Faculty of Science, University of Hradec Králové, 500 03 Hradec Králové, Czech Republic.
Biomimetics (Basel). 2023 Apr 6;8(2):149. doi: 10.3390/biomimetics8020149.
This paper presents a new evolutionary-based approach called a Subtraction-Average-Based Optimizer (SABO) for solving optimization problems. The fundamental inspiration of the proposed SABO is to use the subtraction average of searcher agents to update the position of population members in the search space. The different steps of the SABO's implementation are described and then mathematically modeled for optimization tasks. The performance of the proposed SABO approach is tested for the optimization of fifty-two standard benchmark functions, consisting of unimodal, high-dimensional multimodal, and fixed-dimensional multimodal types, and the CEC 2017 test suite. The optimization results show that the proposed SABO approach effectively solves the optimization problems by balancing the exploration and exploitation in the search process of the problem-solving space. The results of the SABO are compared with the performance of twelve well-known metaheuristic algorithms. The analysis of the simulation results shows that the proposed SABO approach provides superior results for most of the benchmark functions. Furthermore, it provides a much more competitive and outstanding performance than its competitor algorithms. Additionally, the proposed approach is implemented for four engineering design problems to evaluate the SABO in handling optimization tasks for real-world applications. The optimization results show that the proposed SABO approach can solve for real-world applications and provides more optimal designs than its competitor algorithms.
本文提出了一种新的基于进化的方法,称为基于减法平均的优化器(SABO),用于解决优化问题。所提出的SABO的基本灵感是利用搜索代理的减法平均值来更新搜索空间中种群成员的位置。描述了SABO实现的不同步骤,然后对优化任务进行了数学建模。针对由单峰、高维多峰和固定维多峰类型组成的52个标准基准函数以及CEC 2017测试套件的优化,测试了所提出的SABO方法的性能。优化结果表明,所提出的SABO方法通过在问题求解空间的搜索过程中平衡探索和利用,有效地解决了优化问题。将SABO的结果与12种著名的元启发式算法的性能进行了比较。对仿真结果的分析表明,所提出的SABO方法对大多数基准函数都提供了优异的结果。此外,它比其竞争算法提供了更具竞争力和更出色的性能。此外,将所提出的方法应用于四个工程设计问题,以评估SABO在处理实际应用中的优化任务方面的能力。优化结果表明,所提出的SABO方法可以解决实际应用问题,并且比其竞争算法提供更优的设计。