Title: A new approach to construction of nearly uniform designs

Authors: Changxing Ma, Kai-Tai Fang

Addresses: Division of Biostatistics, University of Florida, Gainesville, FL 32611, USA. ' Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China

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.

Keywords: complexity of computation; computer experiments; discrepancy; uniform design.

DOI: 10.1504/IJMPT.2004.003916

International Journal of Materials and Product Technology, 2004 Vol.20 No.1/2/3, pp.115 - 126

Published online: 10 May 2004 *

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