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Status已发表Published
TitleConstructing uniform designs: A heuristic integer programming method
Creator
Date Issued2012
Source PublicationJournal of Complexity
ISSN0885-064X
Volume28Issue:2Pages:224-237
Abstract

In this paper, the wrap-around L-discrepancy (WD) of asymmetrical design is represented as a quadratic form, thus the problem of constructing a uniform design becomes a quadratic integer programming problem. By the theory of optimization, some theoretic properties are obtained. Algorithms for constructing uniform designs are then studied. When the number of runs n is smaller than the number of all level-combinations m, the construction problem can be transferred to a zeroone quadratic integer programming problem, and an efficient algorithm based on the simulated annealing is proposed. When n

KeywordQuadratic integer programming Simulated annealing Uniform design
DOI10.1016/j.jco.2011.10.005
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Theory & Methods ; Mathematics, Applied ; Mathematics
WOS IDWOS:000302436600008
Scopus ID2-s2.0-84858280873
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/1692
CollectionFaculty of Science and Technology
Corresponding AuthorZhou, Yongdao
Affiliation
1.College of Mathematics, Sichuan University, Chengdu 610064, China
2.BNU-HKBU United International College, Zhuhai, 519085, China
3.Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100190, China
4.College of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China
Recommended Citation
GB/T 7714
Zhou, Yongdao,Fang, Kaitai,Ning, Jianhui. Constructing uniform designs: A heuristic integer programming method[J]. Journal of Complexity, 2012, 28(2): 224-237.
APA Zhou, Yongdao, Fang, Kaitai, & Ning, Jianhui. (2012). Constructing uniform designs: A heuristic integer programming method. Journal of Complexity, 28(2), 224-237.
MLA Zhou, Yongdao,et al."Constructing uniform designs: A heuristic integer programming method". Journal of Complexity 28.2(2012): 224-237.
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