Uniform design in computer and physical experiments

Kai Tai Fang, Dennis K.J. Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

14 Scopus citations

Abstract

Computer experiments have been widely used in various fields of industry, system engineering, and others because many physical phenomena are difficult or even impossible to study by conventional experimental methods. Design and modeling of computer experiments have become a hot topic since late Seventies of the Twentieth Century. Almost in the same time two different approaches are proposed for design of computer experiments: Latin hypercube sampling (LHS) and uniform design (UD). The former is a stochastic approach and the latter is a deterministic one. A uniform design is a low-discrepancy set in the sense of the discrepancy, the latter is a measure of uniformity. The uniform design can be used for computer experiments and also for physical experiments when the underlying model is unknown. In this paper we review some developments of the uniform design in the past years. More precisely, review and discuss relationships of fractional factorial designs including orthogonal arrays, supersaturated designs and uniform designs. Some basic knowledge of the uniform design with a demonstration example will be given.

Original languageEnglish (US)
Title of host publicationThe Grammar of Technology Development
PublisherKluwer Academic Publishers
Pages105-125
Number of pages21
ISBN (Print)9784431752318
DOIs
StatePublished - 2008
Event2005 Workshop on the Grammar of Technology Development - Tokyo, Japan
Duration: Jan 15 2005Jan 16 2005

Publication series

NameThe Grammar of Technology Development

Other

Other2005 Workshop on the Grammar of Technology Development
CountryJapan
CityTokyo
Period1/15/051/16/05

All Science Journal Classification (ASJC) codes

  • Management of Technology and Innovation

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    Fang, K. T., & Lin, D. K. J. (2008). Uniform design in computer and physical experiments. In The Grammar of Technology Development (pp. 105-125). (The Grammar of Technology Development). Kluwer Academic Publishers. https://doi.org/10.1007/978-4-431-75232-5_8