A Pareto Front Transformation Model for Multi- Objective-Based Constrained Optimization

One of the most promising approaches of handling constrained optimization problems (COPs) is to adopt multi-objective methods, which can provide a trade-off between the objective and constraints. However, the multi-objective-based constraint-handling techniques take preference over infeasible soluti...

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Main Authors: Sanyou Zeng, Rui Zhang, Ruwang Jiao, Qinghui Xu
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/9007671/
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author Sanyou Zeng
Rui Zhang
Ruwang Jiao
Qinghui Xu
author_facet Sanyou Zeng
Rui Zhang
Ruwang Jiao
Qinghui Xu
author_sort Sanyou Zeng
collection DOAJ
description One of the most promising approaches of handling constrained optimization problems (COPs) is to adopt multi-objective methods, which can provide a trade-off between the objective and constraints. However, the multi-objective-based constraint-handling techniques take preference over infeasible solutions, some promising feasible solutions cannot survive during the course of search because they are dominated ones. Furthermore, some nondominated infeasible solutions with worse objective values should not be reserved in that they are far from the feasible optimal solution. To address these two problems, this paper proposes a Pareto front transformation model which transforms a part of potential feasible solutions into nondominated ones. Meanwhile, combined with the dynamic multi-objective technique, certain nondominated infeasible solutions with worse objective values will be rejected. In this way, the search can towards the global optimum from both the feasible and infeasible sides of the search space. The proposed Pareto front transformation model is integrated into a multi-objective-based constrained evolutionary algorithm (CEA). The new designed algorithm is named PT-MOEA, and it is compared with seven peer multi-objective-based CEAs and five state-of-the-art CEAs on solving IEEE CEC 2006 and IEEE CEC 2010 test suites, respectively. Experimental results demonstrate the competitiveness of the proposed method in comparison with its competitors for solving COPs.
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spelling doaj-art-82610a2aa0b14f89baf0f7d98ab689312025-08-20T03:55:48ZengIEEEIEEE Access2169-35362025-01-011312347312348610.1109/ACCESS.2020.29760479007671A Pareto Front Transformation Model for Multi- Objective-Based Constrained OptimizationSanyou Zeng0https://orcid.org/0000-0002-0795-9092Rui Zhang1https://orcid.org/0000-0003-3146-7554Ruwang Jiao2https://orcid.org/0000-0003-0780-1110Qinghui Xu3https://orcid.org/0000-0003-3996-3755School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, ChinaSchool of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, ChinaSchool of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, ChinaSchool of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, ChinaOne of the most promising approaches of handling constrained optimization problems (COPs) is to adopt multi-objective methods, which can provide a trade-off between the objective and constraints. However, the multi-objective-based constraint-handling techniques take preference over infeasible solutions, some promising feasible solutions cannot survive during the course of search because they are dominated ones. Furthermore, some nondominated infeasible solutions with worse objective values should not be reserved in that they are far from the feasible optimal solution. To address these two problems, this paper proposes a Pareto front transformation model which transforms a part of potential feasible solutions into nondominated ones. Meanwhile, combined with the dynamic multi-objective technique, certain nondominated infeasible solutions with worse objective values will be rejected. In this way, the search can towards the global optimum from both the feasible and infeasible sides of the search space. The proposed Pareto front transformation model is integrated into a multi-objective-based constrained evolutionary algorithm (CEA). The new designed algorithm is named PT-MOEA, and it is compared with seven peer multi-objective-based CEAs and five state-of-the-art CEAs on solving IEEE CEC 2006 and IEEE CEC 2010 test suites, respectively. Experimental results demonstrate the competitiveness of the proposed method in comparison with its competitors for solving COPs.https://ieeexplore.ieee.org/document/9007671/Evolutionary computationconstrained optimizationmulti-objective optimization
spellingShingle Sanyou Zeng
Rui Zhang
Ruwang Jiao
Qinghui Xu
A Pareto Front Transformation Model for Multi- Objective-Based Constrained Optimization
IEEE Access
Evolutionary computation
constrained optimization
multi-objective optimization
title A Pareto Front Transformation Model for Multi- Objective-Based Constrained Optimization
title_full A Pareto Front Transformation Model for Multi- Objective-Based Constrained Optimization
title_fullStr A Pareto Front Transformation Model for Multi- Objective-Based Constrained Optimization
title_full_unstemmed A Pareto Front Transformation Model for Multi- Objective-Based Constrained Optimization
title_short A Pareto Front Transformation Model for Multi- Objective-Based Constrained Optimization
title_sort pareto front transformation model for multi objective based constrained optimization
topic Evolutionary computation
constrained optimization
multi-objective optimization
url https://ieeexplore.ieee.org/document/9007671/
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