Multiobjective differential evolution: A comparative study on benchmark problems

Abstract

Differential Evolution is one of the most powerful stochastic real parameter optimization technique. During last fifteen years, it has been widely used in various domains of engineering and science for single and multi objectives optimization. For multiobjective optimization problems, Differential Evolution has been applied in various forms to optimize two conflicting objectives simultaneously. Here, we have studied the performance of six different techniques ofMultiobjective Differential Evolution in comparison with four other state-of-the-art methods on five benchmark test problems. The results are demonstrated quantitatively in terms of convergence and divergence measures of the solutions produced by ten methods and visually by showing the Pareto optimal front. Finally, statistical significant test has been conducted to establish the superiority of the results.