平均混合偏差下混水平设计的均匀性

Uniformity of Mixed-Level Designs Based on Average Mixture Discrepancy

基于因子的水平置换方法讨论了混水平设计在平均混合偏差准则下的均匀性,得到了平均混合偏差的一个新下界,并研究了其所有水平置换设计的平均混合偏差与广义字长型之间的解析联系.从数值结果上表明该下界是可达的,且利用投影的方式可获得平均混合偏差下高效率的混水平设计.

In this paper,the uniformity of mixed-level designs under the average mixture discrepancy criterion is discussed by the level permutation method of factors,and a new lower bound of the average mixture discrepancy is obtained.Besides,the analytic relations between the average mixture discrepancy of all level permutation designs and the generalized word-length pattern are studied.The numerical results show that this new lower bound is attainable,and the highly efficient mixed-level designs under the average mixture discrepancy can be obtained by projection method.