基于正交表的均匀Latin Hypercube设计及其构造

数学季刊 ›› 2007, Vol. 22 ›› Issue (2): 179-186.

基于正交表的均匀Latin Hypercube设计及其构造

Department of Statistics Tianjin University of Finance and Economics,,Tianjin 300222 China

收稿日期:2004-10-11 出版日期:2007-06-30 发布日期:2023-11-01
作者简介:YANG Gui-jun(1970-), male, native of Harbin, Heilongjiang, an associated professor of Tianjin University of Finance and Economics, Ph.D., engages in experiments design.
基金资助:
Supported by the NNSF of Chitin(10301015)； Supported by the Tianjia Planning Programs of Philosophy and Social Science of China(TJ05-TJ002)； Supported by the Chitin Postdoctoral Science Foundayion(20060390169)；

Orthogonal Array-based Uniform Latin Hypercube Design and Its Construction

Department of Statistics Tianjin University of Finance and Economics,,Tianjin 300222 China

Received:2004-10-11 Online:2007-06-30 Published:2023-11-01
About author:YANG Gui-jun(1970-), male, native of Harbin, Heilongjiang, an associated professor of Tianjin University of Finance and Economics, Ph.D., engages in experiments design.
Supported by:
Supported by the NNSF of Chitin(10301015)； Supported by the Tianjia Planning Programs of Philosophy and Social Science of China(TJ05-TJ002)； Supported by the Chitin Postdoctoral Science Foundayion(20060390169)；

摘要/Abstract

摘要： Orthogonal array-based uniform Latin hypercube design(uniform OALHD) is a class of orthogonal array-based Latin hypercube designs to have the best uniformity. In this paper, we provide a less computational algorithm to construct uniform OALHD in 2-dimensional space from Bundschuh and Zhu(1993). And some uniform OALHDs are con- structed by using our method.

关键词: LHD, OALHD, uniform OALHD, uniform design, computer experiments

Abstract: Orthogonal array-based uniform Latin hypercube design(uniform OALHD) is a class of orthogonal array-based Latin hypercube designs to have the best uniformity. In this paper, we provide a less computational algorithm to construct uniform OALHD in 2-dimensional space from Bundschuh and Zhu(1993). And some uniform OALHDs are con- structed by using our method.

Key words: LHD, OALHD, uniform OALHD, uniform design, computer experiments

中图分类号:

基
O212.6

杨贵军. 基于正交表的均匀Latin Hypercube设计及其构造[J]. 数学季刊, 2007, 22(2): 179-186.

YANG Gui-jun. Orthogonal Array-based Uniform Latin Hypercube Design and Its Construction [J]. Chinese Quarterly Journal of Mathematics, 2007, 22(2): 179-186.