The Open Automation and Control Systems Journal

2015, 7 : 338-345
Published online 2015 April 17. DOI: 10.2174/1874444301507010338
Publisher ID: TOAUTOCJ-7-338

A Simple Pareto Adaptive ε-Domination Differential Evolution Algorithm for Multi-Objective Optimization

Yan Jingfeng , Li Meilian , Xu Zhijie and Xu Jin
School of Information Engineering, Xuchang University, Xuchang, Henan, 461000, P.R. China.

ABSTRACT

The two purposes of solving the multi-objective optimization problems are to get solutions close to the true Pareto front as much as possible and to obtain promising diversity. To meet these two demands, a new method is proposed in this paper, which has these characteristics: 1) it adopts the orthogonal design method with quantization technology to generate initial population whose individuals are scattered uniformly over the target search space. 2) it is based on an adaptive ε concept to obtain a good distribution along the true Pareto-optimal solutions. Experiments on five benchmark problems with different features indicate that the proposed method works well not only in diversity, but also in convergence when compared to other evolutionary algorithms.

Keywords:

Multi-objective optimization, Differential evolution, Adaptive ε domination, Pareto optimal.