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A Study on Many-Objective Optimization Using the Kriging-Surrogate-Based Evolutionary Algorithm Maximizing Expected Hypervolume Improvement
Joint Authors
Obayashi, Shigeru
Luo, Chang
Shimoyama, Koji
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The many-objective optimization performance of the Kriging-surrogate-based evolutionary algorithm (EA), which maximizes expected hypervolume improvement (EHVI) for updating the Kriging model, is investigated and compared with those using expected improvement (EI) and estimation (EST) updating criteria in this paper.
Numerical experiments are conducted in 3- to 15-objective DTLZ1-7 problems.
In the experiments, an exact hypervolume calculating algorithm is used for the problems with less than six objectives.
On the other hand, an approximate hypervolume calculating algorithm based on Monte Carlo sampling is adopted for the problems with more objectives.
The results indicate that, in the nonconstrained case, EHVI is a highly competitive updating criterion for the Kriging model and EA based many-objective optimization, especially when the test problem is complex and the number of objectives or design variables is large.
American Psychological Association (APA)
Luo, Chang& Shimoyama, Koji& Obayashi, Shigeru. 2015. A Study on Many-Objective Optimization Using the Kriging-Surrogate-Based Evolutionary Algorithm Maximizing Expected Hypervolume Improvement. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1073074
Modern Language Association (MLA)
Luo, Chang…[et al.]. A Study on Many-Objective Optimization Using the Kriging-Surrogate-Based Evolutionary Algorithm Maximizing Expected Hypervolume Improvement. Mathematical Problems in Engineering No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1073074
American Medical Association (AMA)
Luo, Chang& Shimoyama, Koji& Obayashi, Shigeru. A Study on Many-Objective Optimization Using the Kriging-Surrogate-Based Evolutionary Algorithm Maximizing Expected Hypervolume Improvement. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1073074
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073074