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Published in: Evolutionary Intelligence 3/2022

08-03-2021 | Research Paper

Hybrid neighborhood and global replacement strategies for multi objective evolutionary algorithm based on decomposition

Authors: Xiaoji Chen, Haibin Wang, Jiankun Chu, Bin Hai, Zhichao Wang

Published in: Evolutionary Intelligence | Issue 3/2022

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Abstract

In multi-objective evolutionary algorithm based on decomposition, replacement strategy (RS) plays a key role in balancing population convergence and diversity. However, the existing RSs either focus on the neighborhood or global replacement strategy, which may have difficulties in solving the complex multi-objective optimization problems. To solve this problem, a hybrid neighborhood and global replacement strategies for multi-objective evolutionary algorithm based on decomposition (MOEA/D) is proposed. In this mechanism, a probability threshold pt is used to determine whether to implement neighborhood or global replacement strategy to balance convergence and diversity. Meanwhile, an offspring generation method is designed to generate high-quality offspring solutions for each sub-problem, which can improve the success of the replacement strategy. Based on MOEA/D, a new MOEA/D-HRS algorithm is designed, and it is compared with some state-of-the-art multi-objective evolutionary algorithms (MOEAs) in a series of bi-objective and three-objective test instances with linear or nonlinear various linkages. The experimental results show that MOEA/D-HRS can achieve the best performance in most test instances.

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Appendix
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Metadata
Title
Hybrid neighborhood and global replacement strategies for multi objective evolutionary algorithm based on decomposition
Authors
Xiaoji Chen
Haibin Wang
Jiankun Chu
Bin Hai
Zhichao Wang
Publication date
08-03-2021
Publisher
Springer Berlin Heidelberg
Published in
Evolutionary Intelligence / Issue 3/2022
Print ISSN: 1864-5909
Electronic ISSN: 1864-5917
DOI
https://doi.org/10.1007/s12065-021-00582-1

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