Multi-objective league championship algorithms and its applications to optimal control problems

Abstract

Evolutionary algorithms are effective in solving complex nonlinear optimization problems with multiple conflicting objectives. League Championship Algorithm (LCA) is a recently proposed single-objective evolutionary algorithm which has shown impressive results on benchmark problems used in Conference on Evolutionary Computation (CEC). In this work, two multi-objective versions of LCA, viz. NS-LCA and ε-dominance LCA are proposed which utilizes non-dominated sorting of solutions and ε-dominance concept respectively to solve multi-objective problems. Performance of both algorithms has been tested on three multi-objective optimal control problems.