关于避免多个不可实施因子水平组合的正交表构造

ON CONSTRUCTION OF ORTHOGONAL ARRAYS DEBARRING SOME FACTOR-LEVEL COMBINATIONS

在正交表的实际应用中，有时会发生某些因子的水平组合无法进行试验的情形，使得现有的正交表不适用．Ｃｈｅｎｇ和Ｌｉ［１］讨论了这种情况下的正交表的构造问题，并给出了关于避免两个不可实施的因子水平组合的正交表的构造方法．本文讨论避兔多个不可实施的因子水平组合的正交表的存在和构造问题，得到了一个充要条件，井给出了有关构造方法．

Orthogonal arrays are used in many fields.But in a practical experiment in mayhappen that any existing orthogonal array contains some factor-level combinations whichare infeasible.If one uses any existing orthogonal array, there will be missing data or maycause some unnessary waste. Cheng and Li[1] first discussed the problem and proposed amethod to construct orthogonal arrays debarring two factor-level combinations.This papermakes a further development to give a method of constructing orthogonal arrays which candebar more than two factor-level combinations.