Effectiveness of a Random Compound Noise Strategy for Robust Parameter Design
Effectiveness of a Random Compound Noise Strategy for Robust Parameter Design
复制标题
鲁棒参数设计的随机复合噪声策略的有效性
DOI：
10.1080/02664763.2014.898130
复制
发表时间：
2014
影响因子：
1.5
通讯作者：
Shun Matsuura
中科院分区：
文献类型：
--
作者：
Shun Matsuura;Hiroshi Kurata;Shun Matsuura
稳健参数设计已被广泛应用于提高产品和工艺的质量。虽然乘积阵列通常用于参数设计实验，其中用于控制因素的正交表和用于噪声因素的正交表，但这可能导致不可接受的大量实验运行。田口提出的复合噪声策略可以减少实验运行次数。在该策略中，基于噪声因素影响的方向性形成复合噪声因素。然而，在实践中，方向性通常是未知的。最近，Singhet等人提出了一种随机复合噪声策略，其中通过随机选择噪声因子的级别设置来形成复合噪声因子。本文从响应均值和响应方差估计的精度两个方面对随机复合噪声策略进行了评价。此外，还比较了随机复合噪声策略中估计量的方差与复制设计中估计量的方差。结果表明，随机复合噪声策略比两次重复设计具有更小的估计量方差，特别是当噪声控制交互作用较强时。
Robust parameter design has been widely used to improve the quality of products and processes. Although a product array, in which an orthogonal array for control factors is crossed with an orthogonal array for noise factors, is commonly used for parameter design experiments, this may lead to an unacceptably large number of experimental runs. The compound noise strategy proposed by Taguchi can be used to reduce the number of experimental runs. In this strategy, a compound noise factor is formed based on the directionality of the effects of noise factors. However, the directionality is usually unknown in practice. Recently, Singhet al.proposed a random compound noise strategy, in which a compound noise factor is formed by randomly selecting a setting of the levels of noise factors. The present paper evaluates the random compound noise strategy in terms of the precision of the estimators of the response mean and the response variance. In addition, the variances of the estimators in the random compound noise strategy are compared with those in then-replication design. The random compound noise strategy is shown to have smaller variances of the estimators than the 2-replication design, especially when the control-by-noise-interactions are strong.