Uniform Design: Theory and Application

2000/08/01 by Kai-Tai Fang, Dennis K.J. Lin, Dennis K. J. Lin +2 · 5 citations
Computer Science · Engineering · Mathematics · #Advanced Multi-Objective Optimization Algorithms #Manufacturing Process and Optimization #Mathematical Approximation and Integration

paper · doi:10.1080/00401706.2000.10486045

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

Cited by

• Efficient Nearly Orthogonal and Space-Filling Latin Hypercubes
• Grouped Latin Hypercube Designs with Controlled Correlations
• Fermentation design and process optimization strategy based on machine learning
• Experimental design and statistical analysis for three-drug combination studies
• Recent Developments in Nonregular Fractional Factorial Designs

Related

• Quasi-uniform designs with optimal and near-optimal uniformity constant
• Uniformity criterion for designs with both qualitative and quantitative factors
• Mixed-Level Column Augmented Uniform Designs
• Quantitative regularity properties for the optimal design problem
• Testing Uniformity based on Maximum Extropy