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The convergence analysis of the standard particle swarm optimization(PSO) has shown that the changing of random functions,personal best and group best has the potential to improve the performance of the PSO.In this paper,a novel strategy with variable random functions and polynomial mutation is introduced into the PSO,which is called particle swarm optimization algorithm with variable random functions and mutation(PSO-RM).Random functions are adjusted with the density of the population so as to manipulate the weight of cognition part and social part.Mutation is executed on both personal best particle and group best particle to explore new areas.Experiment results have demonstrated the effectiveness of the strategy.