A Hybrid Search Model for Constrained Optimization

This paper proposes a hybrid model based on decomposition for constrained optimization problems. Firstly, a constrained optimization problem is transformed into a biobjective optimization problem. Then, the biobjective optimization problem is divided into a set of subproblems, and different subprobl...

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Main Authors: Xiaoli Gao, Yangfei Yuan, Jie Li, Weifeng Gao
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2022/1190174
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author Xiaoli Gao
Yangfei Yuan
Jie Li
Weifeng Gao
author_facet Xiaoli Gao
Yangfei Yuan
Jie Li
Weifeng Gao
author_sort Xiaoli Gao
collection DOAJ
description This paper proposes a hybrid model based on decomposition for constrained optimization problems. Firstly, a constrained optimization problem is transformed into a biobjective optimization problem. Then, the biobjective optimization problem is divided into a set of subproblems, and different subproblems are assigned to different Fitness functions by the direction vectors. Different from decomposition-based multiobjective optimization algorithms in which each subproblem is optimized by using the information of its neighboring subproblems, the neighbors of each subproblem are deFined based on corresponding direction vector only in the method. By combining three main components, namely, the local search model, the global search model, and the direction vector adjusting strategy, the population can gradually move toward the global optimal solution. Experiments on two sets of test problems and Five real-world engineering design problems have shown that the proposed method performs better than or is competitive with other compared methods.
format Article
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institution Kabale University
issn 1607-887X
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-699f28f0ae6745889cf1db2f271ada842025-02-03T00:59:36ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/1190174A Hybrid Search Model for Constrained OptimizationXiaoli Gao0Yangfei Yuan1Jie Li2Weifeng Gao3Sichuan Jiuzhou Electric Appliance Group Co., Ltd.School of Mathematics and StatisticsSichuan Jiuzhou Electric Appliance Group Co., Ltd.School of Mathematics and StatisticsThis paper proposes a hybrid model based on decomposition for constrained optimization problems. Firstly, a constrained optimization problem is transformed into a biobjective optimization problem. Then, the biobjective optimization problem is divided into a set of subproblems, and different subproblems are assigned to different Fitness functions by the direction vectors. Different from decomposition-based multiobjective optimization algorithms in which each subproblem is optimized by using the information of its neighboring subproblems, the neighbors of each subproblem are deFined based on corresponding direction vector only in the method. By combining three main components, namely, the local search model, the global search model, and the direction vector adjusting strategy, the population can gradually move toward the global optimal solution. Experiments on two sets of test problems and Five real-world engineering design problems have shown that the proposed method performs better than or is competitive with other compared methods.http://dx.doi.org/10.1155/2022/1190174
spellingShingle Xiaoli Gao
Yangfei Yuan
Jie Li
Weifeng Gao
A Hybrid Search Model for Constrained Optimization
Discrete Dynamics in Nature and Society
title A Hybrid Search Model for Constrained Optimization
title_full A Hybrid Search Model for Constrained Optimization
title_fullStr A Hybrid Search Model for Constrained Optimization
title_full_unstemmed A Hybrid Search Model for Constrained Optimization
title_short A Hybrid Search Model for Constrained Optimization
title_sort hybrid search model for constrained optimization
url http://dx.doi.org/10.1155/2022/1190174
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