Analysis the kinematics of particle swarm optimization algorithm

This paper introduced a particle optimization kinematics equation based on the simplified model of particle swarm optimization algorithm (PSO), which is a vibration equation on the balance point; gave the particle optimization kinematics principle of basic PSO algorithm; analyzed the relationship between parameters chosen and vibration angular frequency and amplitude of particle movement. Initial condition and parameters chosen decide the particle movement optimization search scope and moving characters. As to kinematics, it is concluded that particle optimization point compressed on vibration peak while sparse near the balance point according to PSO. When initial parameters are not zero, particles movement will not stop at a local minimum point.