Modified particle swarm optimization via probabilistic leap

Based on the social psychology analysis of particle swarm optimization (PSO), a modified PSO was proposed. In this PSO a new parameter was introduced and the formula for flying velocity of the particle was modified, so that the event of a particle to leap stochastically to a different point can be taken into account. The simulations for 5 benchmark functions indicate that, when the new parameter is selected properly, the modified PSO can improve the search ability including efficiency and convergence dramatically, especially for high dimensional and complex functions.