论文标题
使用指标函数来枚举没有直接产品结构的跨阵列设计
Use of indicator functions to enumerate cross-array designs without direct product structure
论文作者
论文摘要
Fontana，Pistone和Rogantin（2000）首先将多项式指标函数用于列举具有给定特性的分数阶乘设计，以实现两级因素，并被Aoki（2019）推广到多层因素。在本文中，我们将该理论应用于列举跨阵列设计。对于几个控制因素和噪声因素的实验，使用直接产品结构的跨阵列设计是Taguchi方法中的有效稳健策略。在本文中，我们放松了这种直接的产品结构，以减少设计的尺寸。我们获得了24次跨阵列设计，而没有直接产品结构，具有对6个控制因子和3个噪声因子的一些理想性能，每个噪声因子具有两级，而不是被广泛使用的32次跑步设计。
Use of polynomial indicator functions to enumerate fractional factorial designs with given properties is first introduced by Fontana, Pistone and Rogantin (2000) for two-level factors, and generalized by Aoki (2019) for multi-level factors. In this paper, we apply this theory to enumerate cross-array designs. For the experiments of several control factors and noise factors, use of the cross-array designs with direct product structure is widespread as an effective robust strategy in Taguchi method. In this paper, we relax this direct product structure to reduce the size of the designs. We obtain 24-runs cross-array designs without direct product structure with some desirable properties for 6 control factors and 3 noise factors, each with two-levels, instead of 32-runs design that is widely used.
