粒子群优化中全局最优的Pareto改进选择

Stephyn G. W. Butcher, John W. Sheppard, S. Strasser
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引用次数: 4

摘要

粒子群优化是一种有效的随机优化技术,它模拟了一群在问题空间中飞行的粒子。在搜索问题空间寻找解决方案的过程中,候选解决方案的单个变量通常会采用劣等值,其特征为“前进两步,后退一步”。解决这一问题的几种方法引入了不同的合作与竞争概念。相反,我们将这些多群技术的成功描述为通过一种使连续候选帕累托改进的机制来协调冲突的信息。我们利用这一分析构建了一个变异的粒子群算法,将这一机制应用于最优选择。实验表明,该算法的性能优于标准的gbest粒子群算法。
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Pareto Improving Selection of the Global Best in Particle Swarm Optimization
Particle Swarm Optimization is an effective stochastic optimization technique that simulates a swarm of particles that fly through a problem space. In the process of searching the problem space for a solution, the individual variables of a candidate solution will often take on inferior values characterized as “Two Steps Forward, One Step Back.” Several approaches to solving this problem have introduced varying notions of cooperation and competition. Instead we characterize the success of these multi-swarm techniques as reconciling conflicting information through a mechanism that makes successive candidates Pareto improvements. We use this analysis to construct a variation of PSO that applies this mechanism to gbest selection. Experiments show that this algorithm performs better than the standard gbest PSO algorithm.
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