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Status已发表Published
TitleConstruction of optimal supersaturated designs by the packing method
Creator
Date Issued2004
Source PublicationScience in China, Series A: Mathematics
ISSN1006-9283
Volume47Issue:1Pages:128-143
Abstract

A supersaturated design is essentially a factorial design with the equal occurrence of level property and no fully aliased factors, in which the number of main effects is greater than the number of runs. It has received much recent interest because of its potential in factor screening experiments. A packing design is an important object in combinatorial design theory. In this paper, a strong link between the two apparently un-related kinds of designs is shown. Several criteria for comparing supersaturated designs are proposed, and their properties and connections with other criteria are discussed. A combinatorial approach, the packing method, for constructing optimal supersaturated designs is presented, and the properties of the resulting designs are also investigated. Comparisons between the new designs and other designs are given, which show that our construction method and the newly constructed designs have good properties.

KeywordKirkman triple systems Orthogonality Packing design Resolvability Supersaturated design
DOI10.1360/02ys0271
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000188966100012
Scopus ID2-s2.0-2042439721
Citation statistics
Cited Times:29[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/2453
CollectionResearch outside affiliated institution
Corresponding AuthorFang, Kaitai
Affiliation
1.Dept. of Math., Hong Kong Baptist Univ., Hong Kong, China
2.Dept. of Math., Zhejiang Univ., Hangzhou 310027, China
3.Dept. of Stat., Nankai Univ., Tianjin 300071, China
Recommended Citation
GB/T 7714
Fang, Kaitai,Ge, Gennian,Liu, Min-Qian. Construction of optimal supersaturated designs by the packing method[J]. Science in China, Series A: Mathematics, 2004, 47(1): 128-143.
APA Fang, Kaitai, Ge, Gennian, & Liu, Min-Qian. (2004). Construction of optimal supersaturated designs by the packing method. Science in China, Series A: Mathematics, 47(1), 128-143.
MLA Fang, Kaitai,et al."Construction of optimal supersaturated designs by the packing method". Science in China, Series A: Mathematics 47.1(2004): 128-143.
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