Uniform Design: Theory and Application

2000/08/01 by Kai-Tai Fang, Dennis K.J. Lin, Dennis K. J. Lin +2 · 889 citations
Computer Science · Engineering · Mathematics · #Advanced Multi-Objective Optimization Algorithms #Algorithm #Applied mathematics #Artificial intelligence #Computer science #Domain (mathematical analysis) #Geometry #Manufacturing Process and Optimization #Mathematical Approximation and Integration #Mathematical analysis #Mathematical optimization #Mathematics #Orthogonality #Variety (cybernetics)

paper · doi:10.1080/00401706.2000.10486045

published in Technometrics 42(3), 237-248 (Taylor & Francis)

openalex publication_date 2000/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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.

Citations

• A generalized discrepancy and quadrature error bound
• A New Class of Supersaturated Designs
• Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code

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