Optimized U-type designs on flexible regions
Optimized U-type designs on flexible regions
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DOI：
10.1016/j.csda.2010.01.032
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发表时间：
2010-06
期刊：
影响因子：
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通讯作者：
Dennis K. J. Lin;C. Sharpe;P. Winker
中科院分区：
文献类型：
--
作者：
Dennis K. J. Lin;C. Sharpe;P. Winker
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.
