A new approach to construction of nearly uniform designs

Changxing Ma, Kai-Tai Fang*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

26 Citations (Scopus)

Abstract

The uniform design is one of space filling designs and has been widely used in computer and industrial experiments. Many methods for construction of uniform designs or nearly uniform designs, such as the glp method, optimisation method etc., have been proposed. A nearly uniform design is a design with low-discrepancy, where the discrepancy is a measure of uniformity. Various discrepancies have been suggested. To find a uniform design for n runs and s factors under a given discrepancy is a NP hard problem in the sense of computation complexity when n → ∞ and s > 1. In this paper we propose a new method, called the cutting method, for construction of nearly uniform designs. It shows that the computation load of the new method is light and designs obtained by the new approach have better uniformity.

Original languageEnglish
Pages (from-to)115-126
Number of pages12
JournalInternational Journal of Materials and Product Technology
Volume20
Issue number1-3
DOIs
Publication statusPublished - 24 Feb 2004
Externally publishedYes

Scopus Subject Areas

  • Safety, Risk, Reliability and Quality
  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

User-Defined Keywords

  • Complexity of computation
  • Computer experiments
  • Discrepancy
  • Uniform design

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