Hybrid immune PSO algorithm for engineering optimization problems

For its low efficiency in solving constrained optimization problems, the particle swarm optimization (PSO) is combined with immune algorithm (IA) in this paper. At the same time, an adaptive penalty function formula is designed to propose a hybrid immune PSO (HIPSO) algorithm for finding solution in constrained optimization problems. Through tests of 13 benchmark functions and three engineering optimization examples, it is clear that the performance of the HIPSO algorithm is equal to that of the HPSO algorithm. Whats more, the IA algorithm is not only better than IA algorithm and the PSO algorithm, but also co-evolutionary algorithm and other six kinds of algorithms.