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Author:

Fan, Zhun (Fan, Zhun.) | Li, Wenji (Li, Wenji.) | Cai, Xinye (Cai, Xinye.) | Li, Hui (Li, Hui.) | Wei, Caimin (Wei, Caimin.) | Zhang, Qingfu (Zhang, Qingfu.) | Deb, Kalyanmoy (Deb, Kalyanmoy.) | Goodman, Erik (Goodman, Erik.)

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Abstract:

This paper proposes a push and pull search (PPS) framework for solving constrained multi-objective optimization problems (CMOPs). To be more specific, the proposed PPS divides the search process into two different stages: push and pull search stages. In the push stage, a multi-objective evolutionary algorithm (MOEA) is used to explore the search space without considering any constraints, which can help to get across infeasible regions very quickly and to approach the unconstrained Pareto front. Furthermore, the landscape of CMOPs with constraints can be probed and estimated in the push stage, which can be utilized to conduct the parameter setting for the constraint-handling approaches to be applied in the pull stage. Then, a modified form of a constrained multi-objective evolutionary algorithm (CMOEA), with improved epsilon constraint-handling, is applied to pull the infeasible individuals achieved in the push stage to the feasible and non-dominated regions. To evaluate the performance regarding convergence and diversity, a set of benchmark CMOPs and a real-world optimization problem are used to test the proposed PPS (PPS-MOEA/D) and state-of-the-art CMOEAs, including MOEA/D-IEpsilon, MOEA/D-Epsilon, MOEA/D-CDP, MOEA/D-SR, C-MOEA/D and NSGA-II-CDP. The comprehensive experimental results show that the proposed PPS-MOEA/D achieves significantly better performance than the other six CMOEAs on most of the tested problems, which indicates the superiority of the proposed PPS method for solving CMOPs. © 2018 Elsevier B.V.

Keyword:

Constrained multi-objective optimizations Constraint handling Different stages Multi objective evolutionary algorithms Parameter setting Push and pull search Real-world optimization State of the art

Author Community:

  • [ 1 ] [Fan, Zhun;Li, Wenji]Department of Electronic Engineering, Shantou University, Guangdong, China
  • [ 2 ] [Cai, Xinye]College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Jiangsu, China
  • [ 3 ] [Li, Hui]School of Mathematics and Statistics, Xi'an Jiaotong University, Shaanxi, China
  • [ 4 ] [Wei, Caimin]Department of Mathematics, Shantou University, Guangdong, China
  • [ 5 ] [Zhang, Qingfu]Department of Computer Science, City University of Hong Kong, Hong Kong
  • [ 6 ] [Deb, Kalyanmoy;Goodman, Erik]BEACON Center for the Study of Evolution in Action, Michigan State University, East Lansing; MI, United States
  • [ 7 ] [Fan, Zhun]Shantou Univ, Dept Elect Engn, Shantou, Guangdong, Peoples R China
  • [ 8 ] [Li, Wenji]Shantou Univ, Dept Elect Engn, Shantou, Guangdong, Peoples R China
  • [ 9 ] [Cai, Xinye]Nanjing Univ Aeronaut & Astronaut, Coll Comp Sci & Technol, Nanjing, Jiangsu, Peoples R China
  • [ 10 ] [Li, Hui]Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China
  • [ 11 ] [Wei, Caimin]Shantou Univ, Dept Math, Shantou, Guangdong, Peoples R China
  • [ 12 ] [Zhang, Qingfu]City Univ Hong Kong, Dept Comp Sci, Hong Kong, Peoples R China
  • [ 13 ] [Deb, Kalyanmoy]Michigan State Univ, BEACON Ctr Study Evolut Act, E Lansing, MI 48824 USA
  • [ 14 ] [Goodman, Erik]Michigan State Univ, BEACON Ctr Study Evolut Act, E Lansing, MI 48824 USA

Reprint Author's Address:

  • Shantou Univ, Dept Elect Engn, Shantou, Guangdong, Peoples R China.

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Source :

Swarm and Evolutionary Computation

ISSN: 2210-6502

Year: 2019

Volume: 44

Page: 665-679

6 . 9 1 2

JCR@2019

7 . 1 7 7

JCR@2020

ESI Discipline: COMPUTER SCIENCE;

ESI HC Threshold:93

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 245

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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