Journal article

Publication year: 2010

Pages: 1505-1515

Journal: Computational Statistics & Data Analysis

Volume number: 54

Issue number: 6

ISSN: 0167-9473

eISSN: 1872-7352

DOI Link: https://doi.org/10.1016/j.csda.2010.01.032

Publisher: Elsevier

Abstract: 
The concept of a flexible region describes an infinite variety of symmetrical shapes to enclose a particular region of interest within a space. In experimental design, the properties of a function on the region of interest are analyzed based on a set of design points. The choice of design points can be made based on some discrepancy criterion. The generation of design points on a flexible region is investigated. A recently proposed discrepancy measure, the central composite discrepancy, is used for this purpose. The optimization heuristic Threshold Accepting is applied to generate low-discrepancy U-type designs. The proposed algorithm is capable of constructing optimal U-type designs under various flexible experimental regions in two or more dimensions. The illustrative results for the two-dimensional case indicate that by using an optimization heuristic in combination with an appropriate discrepancy measure produces high-quality experimental designs on flexible regions. (C) 2010 Elsevier B.V. All rights reserved.

Harvard Citation style: Lin, D., Sharpe, C. and Winker, P. (2010) Optimized U-type designs on flexible regions, Computational Statistics & Data Analysis, 54(6), pp. 1505-1515. https://doi.org/10.1016/j.csda.2010.01.032

APA Citation style: Lin, D., Sharpe, C., & Winker, P. (2010). Optimized U-type designs on flexible regions. Computational Statistics & Data Analysis. 54(6), 1505-1515. https://doi.org/10.1016/j.csda.2010.01.032