Chaotic Multi-swarm Particle Swarm Optimization for Welded Beam Design Engineering Problem

Design optimization is an important engineering design activity. In general, design optimization determines the necessary values for the design variables so as to optimize the objective function under certain constraints. Particle swarm optimization algorithm experiences unbalanced between local search and global search. Meeting room approach was introduced as a multi-swarm model to improve the Particle Swarm Optimization algorithm. However, Multiple Swarm Particle Swarm Optimization algorithm may not start with a good position. Therefore, the algorithm may have a slow convergence. This problem can be overcome by using a position created with a chaotic logistics map. Welded Beam Design, which is an engineering problem, mainly aims to minimize the beam cost due to constraints on loading load, shear stress, bending stress and final deflection. The aim of this study is to evaluate the performance of the Chaotic Multiple-swarm Particle Swarm Optimization algorithm in solving this problem. In this context, experimental studies were carried out with different swarm sizes and iteration numbers. According to the results obtained, the Chaotic Multi-swarm Particle Swarm Optimization algorithm offers a good solution compared to other well-known algorithms.