Particle Stability Time in the Stochastic Model of PSO

Stability properties of a particle in the stochastic models of PSO are a subject of presented analysis. Measures of a number of particle steps necessary to reach an equilibrium state, particularly, generalized weak versions of measures: particle convergence expected time (pcet) and the particle location variance convergence time (pvct) are developed. A new measure, namely particle stability time, is also proposed. For all the measures graphs of estimated and recorded values are presented. Finally, an adaptation of expected running time (ERT) measure is proposed which can be applied for identification of convergence regions in the parameters space.