正交数组
极小极大
复合数
数学
实验设计
优化设计
数学优化
算法
田口方法
统计
作者
Xueru Zhang,Min-Qian Liu,Yixiao Zhou
标识
DOI:10.1016/j.jspi.2019.08.007
摘要
Composite designs are frequently utilized for fitting response surfaces in practice. This paper proposes a new type of composite designs, orthogonal uniform composite designs (OUCDs), which combine orthogonal arrays and uniform designs. Such designs not only inherit the advantages of orthogonal-array composite designs such as high estimation efficiencies and ability for multiple analysis for cross validation, but also have more flexible run sizes than central composite designs and orthogonal-array composite designs. Moreover, OUCDs are more robust than other types of composite designs under certain conditions. Some construction methods for OUCDs under the maximin distance criterion are provided and their properties are also studied. It is shown that many constructed OUCDs are maximin distance designs.
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