Basic study on particle swarm optimization with hierarchical structure for constrained optimization problems

Abstract

In this work, we consider Particle Swarm Optimization (abbr. PSO) with hierarchical structures in order to solve some constrained optimization problems. The PSO with hierarchical structures has two layers. The lower layer is used to satisfy the constraint conditions and the upper layer is used to optimize the objective function. Due to these layers and the mutual function, the proposed method can be applied to constrained optimization problems which problems cannot be solved by the basic PSO. In this paper, we apply this procedure to some constrained optimization problems and evaluate its performance. © 2012 Springer-Verlag.