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System Development & Application
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817-823,828

Using Pareto dominance relationship to realize efficient tripe-objective differential evolution algorithm

Xu Yulong1,2,3
Pan Xu1
Wang Zhongyi1
Sheng Mengyuan1
Wang Linjing1
1. Institute of Information & Technology, Henan University of Chinese Medicine, Zhengzhou 450046, China
2. Institute of Information Engineering, Zhengzhou University, Zhengzhou 450052, China
3. Dept. of Computer Science & Engineering, Hong Kong University of Science & Technology, Hong Kong, China

Abstract

In the Multi-objective evolutionary algorithm, the solution of the rank distribution takes up most of the computation time. According to the Pareto dominance relationship, this paper researched the solution of the rank and distribution, and found that there are some redundancy operation of rank and allocation in the classic methods. The classic algorithms need to rank all solutions, and select the next generation after sort, so it caused some unnecessary sort operations. To reduce the redundancy, this paper introduced a fast method of non-dominated sorting. The proposed algorithm only dealed the individual which belong the highest level in current population, and meanwhile it could choose individual into the next generation during the process of distribution level. When the next generation individuals were selected enough, the program was ended. This method reduced the number of the sorting of individuals, and also reduced the time complexity greatly. Then, it used three objectives optimization problem as an example, combined the fast non-dominated sorting method with the differential evolution algorithm, and proposed a fast three objective differential evolution algorithm based on non-dominated sorting. Finally, it compared this method with the famous ranking method and ENS/BNS method. The simulation results show that the proposed algorithm in time complexity and convergence speed is better than the classical method, and is not worse than the ENS/BNS algorithm. On the performance of the standard test function DTLZ1-DTLZ6, the proposed method is similar to or better than the comparison algorithms. The experiment verifies the correctness and effectiveness of the proposed method.

Foundation Support

国家自然科学基金资助项目(81703946,61772475)
河南省科技攻关研究项目(172102210361,172102310536)
河南省高校重点科研项目(15A520083,16A520060,17B520017)
河南中医药大学博士基金资助项目(BSJJ2015-19)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2017.09.0909
Publish at: Application Research of Computers Printed Article, Vol. 36, 2019 No. 3
Section: System Development & Application
Pages: 817-823,828
Serial Number: 1001-3695(2019)03-035-0817-07

Publish History

[2019-03-05] Printed Article

Cite This Article

许玉龙, 潘旭, 王忠义, 等. 利用帕累托非支配关系实现高效三目标差分进化的方法 [J]. 计算机应用研究, 2019, 36 (3): 817-823,828. (Xu Yulong, Pan Xu, Wang Zhongyi, et al. Using Pareto dominance relationship to realize efficient tripe-objective differential evolution algorithm [J]. Application Research of Computers, 2019, 36 (3): 817-823,828. )

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  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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