An improved MOEA/D algorithm for bi-objective optimization problems with complex Pareto fronts and its application to structural optimization
•An improved MOEA/D (iMOEA/D) is proposed for bi-objective optimization problems with complex Pareto fronts.•An adaptive replacement strategy and a stopping criterion are integrated into iMOEA/D.•iMOEA/D is evaluated using seven complicated benchmark functions and three practical problems.•iMOEA/D g...
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| Vydané v: | Expert systems with applications Ročník 92; s. 430 - 446 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
New York
Elsevier Ltd
01.02.2018
Elsevier BV |
| Predmet: | |
| ISSN: | 0957-4174, 1873-6793 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | •An improved MOEA/D (iMOEA/D) is proposed for bi-objective optimization problems with complex Pareto fronts.•An adaptive replacement strategy and a stopping criterion are integrated into iMOEA/D.•iMOEA/D is evaluated using seven complicated benchmark functions and three practical problems.•iMOEA/D generally outperforms MOEA/D and NSGA-II in both benchmark functions and real applications.
The multi-objective evolutionary algorithm based on decomposition (MOEA/D) has been recognized as a promising method for solving multi-objective optimization problems (MOPs), receiving a lot of attention from researchers in recent years. However, its performance in handling MOPs with complicated Pareto fronts (PFs) is still limited, especially for real-world applications whose PFs are often complex featuring, e.g., a long tail or a sharp peak. To deal with this problem, an improved MOEA/D (named iMOEA/D) that mainly focuses on bi-objective optimization problems (BOPs) is therefore proposed in this paper. To demonstrate the capabilities of iMOEA/D, it is applied to design optimization problems of truss structures. In iMOEA/D, the set of the weight vectors defined in MOEA/D is numbered and divided into two subsets: one set with odd-weight vectors and the other with even-weight vectors. Then, a two-phase search strategy based on the MOEA/D framework is proposed to optimize their corresponding populations. Furthermore, in order to enhance the total performance of iMOEA/D, some recent developments for MOEA/D, including an adaptive replacement strategy and a stopping criterion, are also incorporated. The reliability, efficiency and applicability of iMOEA/D are investigated through seven existing benchmark test functions with complex PFs and three optimal design problems of truss structures. The obtained results reveal that iMOEA/D generally outperforms MOEA/D and NSGA-II in both benchmark test functions and real-world applications. |
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| Bibliografia: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0957-4174 1873-6793 |
| DOI: | 10.1016/j.eswa.2017.09.051 |