We analyze the convergence time of particle swarm optimization (PSO) on the facet of particle interaction. We firstly introduce\r\na statistical interpretation of social-only PSO in order to capture the essence of particle interaction, which is one of the key\r\nmechanisms of PSO. We then use the statistical model to obtain theoretical results on the convergence time. Since the theoretical\r\nanalysis is conducted on the social-only model of PSO, instead of on common models in practice, to verify the validity of our\r\nresults, numerical experiments are executed on benchmark functions with a regular PSO program.
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