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基于差分方程的PSO算法参数设计
Parameter design for particle swarm optimization based on differential equation
【摘要】 在分析粒子群优化算法基本原理的基础上,建立了粒子群优化的差分优化模型.通过对差分方程特征根的求解及分析,得出了粒子群算法的收敛区域.为了验证收敛区域的有效性,从6个不同方面的参数设置对收敛性区域进行数值仿真,仿真结果验证了收敛区域的正确性,得出了粒子群算法参数设置的经验性公式.同时差分方程特征根的分析方法为其他智能算法的参数设置提供了一套很好的参数设计方法.
【Abstract】 This paper analyzes the basic principle of PSO(particle swarm optimization)and establishes differential optimization model.Convergence area of PSO is obtained through solving and analyzing the differential equation.In order to verify the effectiveness of convergence area,six kinds of different parameter designs are simulated,and the simulated results indicate that the convergence area is right,so the empirical rules are obtained for parameter design of PSO.At the same time,adopting this convergence analysis based on differential equation provides an efficient analysis method for parameter design of others intelligent optimization algorithm.
【Key words】 differential equation; particle swarm optimization; convergence; parameters design;
- 【文献出处】 西安建筑科技大学学报(自然科学版) ,Journal of Xi’an University of Architecture & Technology(Natural Science Edition) , 编辑部邮箱 ,2009年03期
- 【分类号】TP301.6
- 【被引频次】3
- 【下载频次】194