A fast multi-objective evolutionary algorithm based on a tree structure

  • Authors:
  • Chuan Shi;Zhenyu Yan;Zhongzhi Shi;Lei Zhang

  • Affiliations:
  • Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, Beijing University of Posts and Telecommunications, Beijing 100876, China;Department of Systems and Information Engineering, University of Virginia, 22903, USA;Institute of Computing Technology, Chinese Academy of Sciences, 100080, China;Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, Beijing University of Posts and Telecommunications, Beijing 100876, China

  • Venue:
  • Applied Soft Computing
  • Year:
  • 2010

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Abstract

This paper proposes a fast evolutionary algorithm based on a tree structure for multi-objective optimization. The tree structure, named dominating tree (DT), is able to preserve the necessary Pareto dominance relations among individuals effectively, contains the density information implicitly, and reduces the number of comparisons among individuals significantly. The evolutionary algorithm based on dominating tree (DTEA) integrates the convergence strategy and diversity strategy into the DT and employs a DT-based eliminating strategy that realizes elitism and preserves population diversity without extra time and space costs. Numerical experiments show that DTEA is much faster than SPEA2, NSGA-II and an improved version of NSGA-II, while its solution quality is competitive with those of SPEA2 and NSGA-II.