Zheng Xuepeng, Nie Bin, Chen Jiandong, Du Yuwen, Zhang Yuchao, Jin Haike
School of Computer, Jiangxi University of Chinese Medicine, Nanchang 330004, China.
Math Biosci Eng. 2023 Jul 28;20(9):15737-15764. doi: 10.3934/mbe.2023701.
Particle swarm optimization (PSO) has been successfully applied to various complex optimization problems due to its simplicity and efficiency. However, the update strategy of the standard PSO algorithm is to learn from the global best particle, making it difficult to maintain diversity in the population and prone to premature convergence due to being trapped in local optima. Chaos search mechanism is an optimization technique based on chaotic dynamics, which utilizes the randomness and nonlinearity of a chaotic system for global search and can escape from local optima. To overcome the limitations of PSO, an improved particle swarm optimization combined with double-chaos search (DCS-PSO) is proposed in this paper. In DCS-PSO, we first introduce double-chaos search mechanism to narrow the search space, which enables PSO to focus on the neighborhood of the optimal solution and reduces the probability that the swarm gets trapped into a local optimum. Second, to enhance the population diversity, the logistic map is employed to perform a global search in the narrowed search space and the best solution found by both the logistic and population search guides the population to converge. Experimental results show that DCS-PSO can effectively narrow the search space and has better convergence accuracy and speed in most cases.
粒子群优化算法(PSO)因其简单性和高效性已成功应用于各种复杂的优化问题。然而,标准PSO算法的更新策略是向全局最优粒子学习,这使得种群难以保持多样性,并且由于陷入局部最优而容易过早收敛。混沌搜索机制是一种基于混沌动力学的优化技术,它利用混沌系统的随机性和非线性进行全局搜索,能够逃离局部最优。为了克服PSO的局限性,本文提出了一种结合双混沌搜索的改进粒子群优化算法(DCS-PSO)。在DCS-PSO中,我们首先引入双混沌搜索机制来缩小搜索空间,这使得PSO能够专注于最优解的邻域,降低种群陷入局部最优的概率。其次,为了增强种群多样性,采用逻辑斯谛映射在缩小的搜索空间中进行全局搜索,逻辑斯谛搜索和种群搜索找到的最优解引导种群收敛。实验结果表明,DCS-PSO能够有效地缩小搜索空间,并且在大多数情况下具有更好的收敛精度和速度。