![](/images/graphics-bg.png)
A Novel Multiobjective Evolutionary Algorithm Based on Regression Analysis
Joint Authors
Wang, Maocai
Song, Zhiming
Vasile, Massimiliano
Dai, Guangming
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
As is known, the Pareto set of a continuous multiobjective optimization problem with m objective functions is a piecewise continuous (m-1)-dimensional manifold in the decision space under some mild conditions.
However, how to utilize the regularity to design multiobjective optimization algorithms has become the research focus.
In this paper, based on this regularity, a model-based multiobjective evolutionary algorithm with regression analysis (MMEA-RA) is put forward to solve continuous multiobjective optimization problems with variable linkages.
In the algorithm, the optimization problem is modelled as a promising area in the decision space by a probability distribution, and the centroid of the probability distribution is (m-1)-dimensional piecewise continuous manifold.
The least squares method is used to construct such a model.
A selection strategy based on the nondominated sorting is used to choose the individuals to the next generation.
The new algorithm is tested and compared with NSGA-II and RM-MEDA.
The result shows that MMEA-RA outperforms RM-MEDA and NSGA-II on the test instances with variable linkages.
At the same time, MMEA-RA has higher efficiency than the other two algorithms.
A few shortcomings of MMEA-RA have also been identified and discussed in this paper.
American Psychological Association (APA)
Song, Zhiming& Wang, Maocai& Dai, Guangming& Vasile, Massimiliano. 2015. A Novel Multiobjective Evolutionary Algorithm Based on Regression Analysis. The Scientific World Journal،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1078769
Modern Language Association (MLA)
Song, Zhiming…[et al.]. A Novel Multiobjective Evolutionary Algorithm Based on Regression Analysis. The Scientific World Journal No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1078769
American Medical Association (AMA)
Song, Zhiming& Wang, Maocai& Dai, Guangming& Vasile, Massimiliano. A Novel Multiobjective Evolutionary Algorithm Based on Regression Analysis. The Scientific World Journal. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1078769
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1078769