Unified particle swarm optimizer: Convergence analysis
Christopher W. Cleghorn, Andries Petrus Engelbrecht · 2016
At present, very little theoretical analysis has been performed on the unified particle swarm optimizer (UPSO). This paper derives the order-1 and order-2 stable regions for the UPSO algorithm, along with the fixed point of particle convergence. The impact that the unification factor has on the stability of UPSO is also analyzed. The theoretical analysis is performed under the stagnation assumption; however, the derived results are shown to be both necessary and sufficient for particle convergence empirically, using a standardized methodology for assumption free convergence region analysis.