Optimized U-type designs on flexible regions

D.K.J. Lin, C. Sharpe and Peter Winker

Computational Statistics & Data Analysis, 2010, vol. 54, issue 6, 1505-1515

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.

Keywords: Central; composite; discrepancy; Experimental; design; Flexible; regions; Threshold; Accepting; U-type; design (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (4)

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Working Paper: Optimized U-type Designs on Flexible Regions (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:54:y:2010:i:6:p:1505-1515

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