强度为3的覆盖阵
发布时间：2018-12-15 22:43
【摘要】：覆盖阵是试验设计理论和组合设计理论研究的课题之一一个覆盖阵CAλ(N;t,k,v),是一个N×k阵列,其元素取自v元集V且满足对于任意的N×t子阵,在V上的任意t-元组作为行在该子阵中至少出现λ次.其中N称为覆盖阵的实验次数(或区组数),t称为强度,k(k≥t)称为因子数,v称为水平数,λ称为指标.若将“至少”改为“恰好”,则称它为正交阵列,记为OAλ(N;t,k,v)对于给定的t,k,v,使得CA(N;t,k,v)存在的最小行数称为覆盖阵数,记作CAN(t,k,v)若N=CAN(t,k,v),则称CA(N;t,k,v)是最优的.覆盖阵主要应用于数据压缩、软件测试和药物筛选等实验设计中.强度为2的覆盖阵,特别是正交阵列已经得到广泛研究.近年来,强度为3的覆盖阵也受到很多学者的关注,但研究成果还不够丰富.本文对强度为3的覆盖阵给出了一些新的递归构造.另外,通过应用3-BD的方法改进了部分强度为3,因子数为5,水平数v≡2(mod 4),以及部分强度为3,因子数为6,水平数v≡2(mod 4)或g.c.d.(v,9)=3的覆盖阵数的上界.
[Abstract]:The overlay matrix is one of the subjects of experimental design theory and combinatorial design theory. The overlay matrix CA 位 (N); Is an N 脳 k array whose elements are obtained from the set V of v elements and satisfy any N 脳 t submatrix in which any ttuple on V appears at least 位 times as a row. Where N is called overlay number of experiments (or block number), t is called intensity, k (k 鈮，
本文编号：2381400
[Abstract]:The overlay matrix is one of the subjects of experimental design theory and combinatorial design theory. The overlay matrix CA 位 (N); Is an N 脳 k array whose elements are obtained from the set V of v elements and satisfy any N 脳 t submatrix in which any ttuple on V appears at least 位 times as a row. Where N is called overlay number of experiments (or block number), t is called intensity, k (k 鈮，
本文编号：2381400
本文链接：https://www.wllwen.com/kejilunwen/yysx/2381400.html
