A Convergence Proof for the Particle Swarm Optimiser

作者：van den Bergh Frans; Engelbrecht Andries Petrus^*

来源：Fundamenta Informaticae, 2010, 105(4): 341-374.

DOI：10.3233/FI-2010-370

• Particle swarm optimisation
• convergence proofs
• stochastic optimisation
• local convergence
• global convergence

The Particle Swarm Optimiser (PSO) is a population based stochastic optimisation algorithm, empirically shown to be efficient and robust. This paper provides a proof to show that the original PSO does not have guaranteed convergence to a local optimum. A flaw in the original PSO is identified which causes stagnation of the swarm. Correction of this flaw results in a PSO algorithm with guaranteed convergence to a local minimum. Further extensions with provable global convergence are also described. Experimental results are provided to elucidate the behavior of the modified PSO as well as PSO variations with global convergence.

• 出版日期2010