几类扩大设计的均匀性模式

Uniformity pattern of several kinds of amplified designs

大型空间填充设计在计算机试验中有着广泛的应用,其直接构造具有一定的难度,现有的研究中常常利用倍扩方法通过较小规模的空间填充设计构造大型的空间填充设计.基于可卷型L_(2)-偏差,定义了混水平设计的均匀性模式,建立了均匀性模式与字长型模式之间的关系,并给出了利用倍扩方法得到的几类扩大设计的均匀性模式和初始设计的字长型模式之间的解析联系.最后通过数值例子验证了所获得的理论结果.

Space-filling designs with large run sizes are widely used in computer experiments,it is difficult to construct directly,space-filling designs with large run sizes are often constructed by using the amplified methods in existing studies.Based on the wrap-around L_(2)-discrepancy,the uniformity pattern of mixed-level designs is defined,the relationship between the uniformity pattern and the wordlength pattern is established,and the analytical relationships are presented between the uniformity pattern of several kinds of amplified designs obtained by the amplified methods and the wordlength pattern of the initial designs.Finally,the theoretical results obtained are verified by numerical examples.