A Decomposition-Based Evolutionary Algorithm with Neighborhood Region Domination

The decomposition-based multi-objective optimization algorithm MOEA/D (multi-objective evolutionary algorithm based on decomposition) introduces the concept of neighborhood, where each sub-problem requires optimization through solutions within its neighborhood. Due to the comparison being only with...

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Main Authors: Hongfeng Ma, Jiaxu Ning, Jie Zheng, Changsheng Zhang
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Biomimetics
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Online Access:https://www.mdpi.com/2313-7673/10/1/19
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author Hongfeng Ma
Jiaxu Ning
Jie Zheng
Changsheng Zhang
author_facet Hongfeng Ma
Jiaxu Ning
Jie Zheng
Changsheng Zhang
author_sort Hongfeng Ma
collection DOAJ
description The decomposition-based multi-objective optimization algorithm MOEA/D (multi-objective evolutionary algorithm based on decomposition) introduces the concept of neighborhood, where each sub-problem requires optimization through solutions within its neighborhood. Due to the comparison being only with solutions in the neighborhood, the obtained set of solutions is not sufficiently diverse, leading to poorer convergence properties. In order to adequately acquire a high-quality set of solutions, this algorithm requires a large number of population iterations, which in turn results in relatively low computational efficiency. To address this issue, this paper proposes an algorithm termed MOEA/D-NRD, which is based on neighborhood region domination in the MOEA/D framework. In the improved algorithm, domination relationships are determined by comparing offspring solutions against neighborhood ideal points and neighborhood worst points. By selecting appropriate solution sets within these comparison regions, the solution sets can approach the ideal points more and faster, thereby accelerating population convergence and enhancing the computational efficiency of the algorithm.
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institution Kabale University
issn 2313-7673
language English
publishDate 2025-01-01
publisher MDPI AG
record_format Article
series Biomimetics
spelling doaj-art-1e73e6f21e8146b2ae21bcc077cca7c62025-01-24T13:24:37ZengMDPI AGBiomimetics2313-76732025-01-011011910.3390/biomimetics10010019A Decomposition-Based Evolutionary Algorithm with Neighborhood Region DominationHongfeng Ma0Jiaxu Ning1Jie Zheng2Changsheng Zhang3School of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, ChinaSchool of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, ChinaSchool of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, ChinaSoftware College of Northeastern University, Northeastern University, Shenyang 110819, ChinaThe decomposition-based multi-objective optimization algorithm MOEA/D (multi-objective evolutionary algorithm based on decomposition) introduces the concept of neighborhood, where each sub-problem requires optimization through solutions within its neighborhood. Due to the comparison being only with solutions in the neighborhood, the obtained set of solutions is not sufficiently diverse, leading to poorer convergence properties. In order to adequately acquire a high-quality set of solutions, this algorithm requires a large number of population iterations, which in turn results in relatively low computational efficiency. To address this issue, this paper proposes an algorithm termed MOEA/D-NRD, which is based on neighborhood region domination in the MOEA/D framework. In the improved algorithm, domination relationships are determined by comparing offspring solutions against neighborhood ideal points and neighborhood worst points. By selecting appropriate solution sets within these comparison regions, the solution sets can approach the ideal points more and faster, thereby accelerating population convergence and enhancing the computational efficiency of the algorithm.https://www.mdpi.com/2313-7673/10/1/19MOEA/Dneighborhoodneighborhood region dominationideal pointintelligence techniques
spellingShingle Hongfeng Ma
Jiaxu Ning
Jie Zheng
Changsheng Zhang
A Decomposition-Based Evolutionary Algorithm with Neighborhood Region Domination
Biomimetics
MOEA/D
neighborhood
neighborhood region domination
ideal point
intelligence techniques
title A Decomposition-Based Evolutionary Algorithm with Neighborhood Region Domination
title_full A Decomposition-Based Evolutionary Algorithm with Neighborhood Region Domination
title_fullStr A Decomposition-Based Evolutionary Algorithm with Neighborhood Region Domination
title_full_unstemmed A Decomposition-Based Evolutionary Algorithm with Neighborhood Region Domination
title_short A Decomposition-Based Evolutionary Algorithm with Neighborhood Region Domination
title_sort decomposition based evolutionary algorithm with neighborhood region domination
topic MOEA/D
neighborhood
neighborhood region domination
ideal point
intelligence techniques
url https://www.mdpi.com/2313-7673/10/1/19
work_keys_str_mv AT hongfengma adecompositionbasedevolutionaryalgorithmwithneighborhoodregiondomination
AT jiaxuning adecompositionbasedevolutionaryalgorithmwithneighborhoodregiondomination
AT jiezheng adecompositionbasedevolutionaryalgorithmwithneighborhoodregiondomination
AT changshengzhang adecompositionbasedevolutionaryalgorithmwithneighborhoodregiondomination
AT hongfengma decompositionbasedevolutionaryalgorithmwithneighborhoodregiondomination
AT jiaxuning decompositionbasedevolutionaryalgorithmwithneighborhoodregiondomination
AT jiezheng decompositionbasedevolutionaryalgorithmwithneighborhoodregiondomination
AT changshengzhang decompositionbasedevolutionaryalgorithmwithneighborhoodregiondomination