基于WD的水平置换方法构造混合水平设计

发布时间：2018-02-01 18:42

本文关键词： 水平置换混合水平均匀设计广义字长型可卷型L2-偏差　出处：《苏州大学》2015年硕士论文　论文类型：学位论文

【摘要】：在均匀试验设计中,有时很难保证不同因素的水平数相等,这样直接利用等水平的均匀表来安排试验就有一定的困难.最近,唐煜等学者在定义了一般(,)nN s设计D的平均中心化L2-偏差ACD(D)后给出了ACD(D)与广义字长型之间的关系.以此为基础他们相应地提出了一种构造CD较小的一般水平设计的方法.利用类似的思想,本文提出了一种通过置换因子的水平来构造可卷型L2-偏差下混合水平均匀设计的新方法.根据本文建立的混合水平设计的AWD(D)与广义字长型的定量关系,我们可以提出一个构造混合水平设计的方法.以具有较小广义字长型的混合水平设计为初始设计,然后作所有的水平置换,对每个水平置换计算其WD(D),找到最小的WD(D)所对应的设计就是相对较好的设计.这种方法找到的设计既具有最小的广义字长型,又具有较小的WD(D).
[Abstract]:In the uniform test design, it is sometimes difficult to ensure that the number of different factors is equal, so it is difficult to arrange the test directly by using the uniform table of equal level. Recently, Tang Yu and other scholars have defined the general. The mean centralization L2-deviation ACD-D of design D for nNS is given, and the ACD-D) is given. On the basis of this, they put forward a method to construct a general horizontal design with smaller CD, using similar ideas. In this paper, a new method of constructing uniform design of mixed level under voluble L _ 2-deviation by the level of permutation factor is presented. Quantitative relationship with generalized word length. We can propose a method of constructing mixed horizontal design, which takes the mixed horizontal design with small generalized word length as the initial design, then makes all horizontal permutations, and calculates its WDX for each horizontal permutation. The design corresponding to finding the smallest WDU D) is a relatively good one. The design found by this method has not only the smallest generalized word length form, but also the smaller WDX DU design.
【学位授予单位】：苏州大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O212.6

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