Adaptive ε-Constraint Multi-Objective Evolutionary Algorithm Based on Decomposition and Differential Evolution

To improve distribution and convergence of the obtained solution set in constrained multi-objective optimization problems, this paper presents an adaptive ε-constraint multi-objective evolutionary algorithm based on decomposition and differential evolution (ε-MOEA/D-DE). First,...

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Main Authors: Bing-Jie Liu, Xiao-Jun Bi
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9330545/
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author Bing-Jie Liu
Xiao-Jun Bi
author_facet Bing-Jie Liu
Xiao-Jun Bi
author_sort Bing-Jie Liu
collection DOAJ
description To improve distribution and convergence of the obtained solution set in constrained multi-objective optimization problems, this paper presents an adaptive ε-constraint multi-objective evolutionary algorithm based on decomposition and differential evolution (ε-MOEA/D-DE). First, an adaptive ε-constraint strategy based on both evolution generation and constraint violation is designed to make better use of excellent evolution individuals and improve population diversity. Then, an adaptive differential evolution (DE) mutation strategy with full utilization of infeasible individuals is proposed to increase search efficiency and avoid falling into the local optimum. Finally, a replacement mechanism is suggested to take advantage of the infeasible individuals in the population with better objective function values and constraint violation degree, and thus both diversity and convergence are well coordinated. A comparative experiment with four other excellent constrained multi-objective algorithms was implemented on standard constrained multi-objective optimization problems (CF series), and the results showed that the diversity and convergence of our algorithm were both improved.
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spelling doaj.art-bfd7ed1b299c468fa43e02b8909b63462022-12-21T19:57:48ZengIEEEIEEE Access2169-35362021-01-019175961760910.1109/ACCESS.2021.30530419330545Adaptive ε-Constraint Multi-Objective Evolutionary Algorithm Based on Decomposition and Differential EvolutionBing-Jie Liu0https://orcid.org/0000-0002-6249-382XXiao-Jun Bi1https://orcid.org/0000-0002-5382-1000College of Information and Communications Engineering, Harbin Engineering University, Harbin, ChinaDepartment of Information Engineering, Minzu University of China, Beijing, ChinaTo improve distribution and convergence of the obtained solution set in constrained multi-objective optimization problems, this paper presents an adaptive ε-constraint multi-objective evolutionary algorithm based on decomposition and differential evolution (ε-MOEA/D-DE). First, an adaptive ε-constraint strategy based on both evolution generation and constraint violation is designed to make better use of excellent evolution individuals and improve population diversity. Then, an adaptive differential evolution (DE) mutation strategy with full utilization of infeasible individuals is proposed to increase search efficiency and avoid falling into the local optimum. Finally, a replacement mechanism is suggested to take advantage of the infeasible individuals in the population with better objective function values and constraint violation degree, and thus both diversity and convergence are well coordinated. A comparative experiment with four other excellent constrained multi-objective algorithms was implemented on standard constrained multi-objective optimization problems (CF series), and the results showed that the diversity and convergence of our algorithm were both improved.https://ieeexplore.ieee.org/document/9330545/Constrained many-objective optimizationε-constrain handling techniquesdifferential evolution algorithmMOEA/D
spellingShingle Bing-Jie Liu
Xiao-Jun Bi
Adaptive ε-Constraint Multi-Objective Evolutionary Algorithm Based on Decomposition and Differential Evolution
IEEE Access
Constrained many-objective optimization
ε-constrain handling techniques
differential evolution algorithm
MOEA/D
title Adaptive ε-Constraint Multi-Objective Evolutionary Algorithm Based on Decomposition and Differential Evolution
title_full Adaptive ε-Constraint Multi-Objective Evolutionary Algorithm Based on Decomposition and Differential Evolution
title_fullStr Adaptive ε-Constraint Multi-Objective Evolutionary Algorithm Based on Decomposition and Differential Evolution
title_full_unstemmed Adaptive ε-Constraint Multi-Objective Evolutionary Algorithm Based on Decomposition and Differential Evolution
title_short Adaptive ε-Constraint Multi-Objective Evolutionary Algorithm Based on Decomposition and Differential Evolution
title_sort adaptive x03b5 constraint multi objective evolutionary algorithm based on decomposition and differential evolution
topic Constrained many-objective optimization
ε-constrain handling techniques
differential evolution algorithm
MOEA/D
url https://ieeexplore.ieee.org/document/9330545/
work_keys_str_mv AT bingjieliu adaptivex03b5constraintmultiobjectiveevolutionaryalgorithmbasedondecompositionanddifferentialevolution
AT xiaojunbi adaptivex03b5constraintmultiobjectiveevolutionaryalgorithmbasedondecompositionanddifferentialevolution