Abstract. The ε constrained method is an algorithm transformation method, which can convert algorithms for unconstrained problems to algorithms for constrained problems using the ε level comparison that compares search points based on the constraint violation of them. We proposed the ε constrained particle swarm optimizer εPSO, which is the combination of the ε constrained method and particle swarm optimization. The εPSO can run very fast and find very high quality solutions, but the εPSO is not very stable and sometimes can only find lower quality solutions. On the contrary, the εGA, which is the combination of the ε constrained method and GA, is very stable and can find high quality solutions, but it is difficult for the εGA to find higher quality solutions than the εPSO. In this study, we propose the hybrid algorithm of the εPSO and the εGA to find very high quality solutions stably. The effectiveness of the hybrid algorithm is shown by comparing it with various methods on well known nonlinear constrained problems.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.