An improved prairie dog optimization algorithm integrating multiple strategies and its application

Yan Wang, Nan Wang, teng gao, FanYang Bu, xiqian zhu
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Abstract

Aiming at the problems in prairie dog optimization (PDO), such as uneven population distribution at initialization, slow convergence, imbalance between global exploration and local exploitation, and the tendency to get trapped in the local optimum, this study proposes an Improved prairie dog optimisation algorithm integrating multiple strategies (IMSPDO). Firstly, the population is initialized using spatial pyramid matching (SPM) chaotic mapping combined with improved random opposition-based learning (IROL) to solve the problems of uneven distribution and poor diversity of the population. Secondly, the prey escapes energy formula mentioned in the harris hawks optimization (HHO) is introduced to achieve the smooth transition between the exploration phase and the exploitation phase, balancing the algorithm's global exploration capability and local exploitation capability. Additionally, the idea of the particle swarm optimization (PSO) is applied to enhance the global optimization capability of the algorithm. Finally, the ideas of simulated annealing (SA), polynomial mutation and Cauchy mutation are also introduced to improve the ability that individuals to jump out of the local optimum. The performance of the improved algorithm is verified on a set of 21 classical benchmark functions and 8 CEC2020 test functions. The proposed IMSPDO is also evaluated against original PDO, and six other commonly used algorithms. The result of the Wilcoxon rank-sum test shows that there is a significant difference between the selected algorithms and IMSPDO. Furthermore, 3 engineering examples are used to further test the superiority of IMSPDO in dealing with real-world problems.
集成多种策略的改进型草原犬优化算法及其应用
针对草原犬优化(PDO)中存在的初始化种群分布不均、收敛速度慢、全局探索与局部开发不平衡、容易陷入局部最优等问题,本研究提出了一种集成多种策略的改进草原犬优化算法(IMSPDO)。首先,利用空间金字塔匹配(SPM)混沌映射结合改进的随机对立学习(IROL)对种群进行初始化,以解决种群分布不均和多样性差的问题。其次,引入哈里斯鹰优化(HHO)中提到的猎物逃逸能量公式,实现探索阶段和利用阶段的平滑过渡,平衡算法的全局探索能力和局部利用能力。此外,还应用了粒子群优化(PSO)的思想来增强算法的全局优化能力。最后,还引入了模拟退火(SA)、多项式突变和考奇突变的思想,以提高个体跳出局部最优的能力。改进算法的性能在一组 21 个经典基准函数和 8 个 CEC2020 测试函数上得到了验证。此外,还对提出的 IMSPDO 与原始 PDO 以及其他六种常用算法进行了评估。Wilcoxon 秩和检验结果表明,所选算法与 IMSPDO 之间存在显著差异。此外,还使用了 3 个工程实例来进一步检验 IMSPDO 在处理实际问题时的优越性。
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