Status | 已发表Published |
Title | Constructing uniform designs: A heuristic integer programming method |
Creator | |
Date Issued | 2012 |
Source Publication | Journal of Complexity
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ISSN | 0885-064X |
Volume | 28Issue: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 |
Keyword | Quadratic integer programming Simulated annealing Uniform design |
DOI | 10.1016/j.jco.2011.10.005 |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Computer Science ; Mathematics |
WOS Subject | Computer Science, Theory & Methods ; Mathematics, Applied ; Mathematics |
WOS ID | WOS:000302436600008 |
Scopus ID | 2-s2.0-84858280873 |
Citation statistics | |
Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/1692 |
Collection | Faculty of Science and Technology |
Corresponding Author | Zhou, 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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