Uniform Design: Theory and Application

Kai Tai Fang; Dennis K.J. Lin; Peter Winker; Yong Zhang

doi:10.1080/00401706.2000.10486045

Uniform Design: Theory and Application

Kai Tai Fang, Dennis K.J. Lin, Peter Winker, Yong Zhang

Research output: Contribution to journal › Journal article › peer-review

887 Citations (Scopus)

Abstract

A uniform design (UD) seeks design points that are uniformly scattered on the domain. It has been popular since 1980. A survey of UD is given in the first portion: The fundamental idea and construction method are presented and discussed and examples are given for illustration. It is shown that UD’s have many desirable properties for a wide variety of applications. Furthermore, we use the global optimization algorithm, threshold accepting, to generate UD's with low discrepancy. The relationship between uniformity and orthogonality is investigated. It turns out that most UD's obtained here are indeed orthogonal.

Original language	English
Pages (from-to)	237-248
Number of pages	12
Journal	Technometrics
Volume	42
Issue number	3
DOIs	https://doi.org/10.1080/00401706.2000.10486045
Publication status	Published - Aug 2000
Externally published	Yes

Scopus Subject Areas

Statistics and Probability
Modelling and Simulation
Applied Mathematics

User-Defined Keywords

Computer experiment
Discrepancy
Orthogonal design
Threshold accepting

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10.1080/00401706.2000.10486045

Cite this

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title = "Uniform Design: Theory and Application",

abstract = "A uniform design (UD) seeks design points that are uniformly scattered on the domain. It has been popular since 1980. A survey of UD is given in the first portion: The fundamental idea and construction method are presented and discussed and examples are given for illustration. It is shown that UD{\textquoteright}s have many desirable properties for a wide variety of applications. Furthermore, we use the global optimization algorithm, threshold accepting, to generate UD's with low discrepancy. The relationship between uniformity and orthogonality is investigated. It turns out that most UD's obtained here are indeed orthogonal.",

keywords = "Computer experiment, Discrepancy, Orthogonal design, Threshold accepting",

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doi = "10.1080/00401706.2000.10486045",

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AU - Winker, Peter

AU - Zhang, Yong

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PY - 2000/8

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AB - A uniform design (UD) seeks design points that are uniformly scattered on the domain. It has been popular since 1980. A survey of UD is given in the first portion: The fundamental idea and construction method are presented and discussed and examples are given for illustration. It is shown that UD’s have many desirable properties for a wide variety of applications. Furthermore, we use the global optimization algorithm, threshold accepting, to generate UD's with low discrepancy. The relationship between uniformity and orthogonality is investigated. It turns out that most UD's obtained here are indeed orthogonal.

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Uniform Design: Theory and Application

Abstract

Scopus Subject Areas

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