广义正交表的加法构造  

Addition-Constructing of Generalized Orthogonal Arrays

作　　者：张明珠[1] 赵守江[1] 李振兴[2] 张应山[3] 

机构地区：[1]三峡大学理学院,湖北宜昌443002 [2]三峡大学电气与新能源学院,湖北宜昌443002 [3]华东师范大学金融与统计学院,上海200241

出　　处：《数学的实践与认识》2018年第5期171-179,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11601267);湖北省教育厅科学技术研究计划重点资助项目(D20171203)

摘　　要：正交表的构造技术中有一种加法构造，那么广义正交表的构造是否可以借鉴这种方法呢？对广义正交表构造也采用类似的方法，研究发现，在两个广义正交表的基础上，进行列重叠、列取模等简单替换，可以构造许多新的广义正交表，其加法构造方法比正交表的加法构造方法更加简单，并且若原有的两个广义正交表是饱和的，那么在此基础上新构造的广义正交表也是饱和的．Orthogonal array is technology there is a kind of additive in the structure, the structure of generalized orthogonal array can draw lessons from this kind of method？ In this paper, the generalized orthogonal array structure also USES a similar approach, studies have found that, on the basis of two generalized orthogonal arrays, with overlapping columns, column modulus etc. Simple to replace, can construct many new generalized orthogonal arrays, the addition method to construct than the addition of the orthogonal array construction method is more simple, and if the original two generalized orthogonal arrays are saturated, so the new structure of the generalized orthogonal array is saturated.

关 键 词：正交性 平衡性 区组设计 加法构造 饱和设计 

分 类 号：O212.6[理学—概率论与数理统计]