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	Construction of uniform designs without replications
	Jiang, Bochuan ; Ai, Mingyao
	2014
关键词	Complementary design Discrepancy Rank vector Threshold-accepting algorithm Uniformity LOWER BOUNDS DISCREPANCY
英文摘要	A uniform design scatters its design points evenly on the experimental domain according to some discrepancy measure. In this paper all the design points of a full factorial design can be split into two subdesigns. One is called the complementary design of the other. The complementary design theories of characterizing one design through the other under the four commonly used discrepancy measures are investigated. Based on these complementary design theories, some general rules for searching uniform designs through their complementary designs are proposed. An efficient method to check if a design has repeated points is introduced and a modified threshold-accepting algorithm is proposed to search uniform or nearly uniform designs without replications. The new algorithm is shown to be more efficient by comparing with other existing methods. Many new uniform or nearly uniform designs without replications are tabulated and compared. (C) 2013 Elsevier Inc. All rights reserved.; Computer Science, Theory & Methods; Mathematics, Applied; SCI(E); EI; 1; ARTICLE; myai@math.pku.edu.cn; 1; 98-110; 30
语种	英语
出处	EI ; SCI
出版者	复杂性杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157428]
专题	数学科学学院
推荐引用方式 GB/T 7714	Jiang, Bochuan,Ai, Mingyao. Construction of uniform designs without replications. 2014-01-01.

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