A transformation-based multivariate chart to monitor process dispersion
A transformation-based multivariate chart to monitor process dispersion
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DOI：
10.1007/s00170-008-1882-x
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发表时间：
2009-10
期刊：
影响因子：
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通讯作者：
B. Abbasi;S. T. A. Niaki;M. Abdollahian;S. Z. Hosseinifard
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文献类型：
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作者：
B. Abbasi;S. T. A. Niaki;M. Abdollahian;S. Z. Hosseinifard
多变量监控技术，如多变量控制图，被用来控制包含一个以上相关特性的过程。虽然以前的大多数研究都集中在对多变量过程的均值向量进行控制，但对协方差矩阵的监控工作却很少。在这项研究中，提出了一种新的方法来检测多变量过程协方差矩阵中可能发生的漂移。该方法的基础是通过变换技术消除质量特征之间的相关结构，然后对每个变量使用Sgraph图。然后将该方法的性能与其他已有方法进行了比较，并给出了一个实际算例。
Multivariate monitoring techniques such as multivariate control charts are used to control the processes that contain more than one correlated characteristic. Although the majority of previous researches are focused on controlling only the mean vector of multivariate processes, little work has been performed to monitor the covariance matrix. In this research, a new method is presented to detect possible shifts in the covariance matrix of multivariate processes. The basis of the proposed method is to eliminate the correlation structure between the quality characteristics by transformation technique and then use anSchart for each variable. The performance of the proposed method is then compared to the ones from other existing methods and a real case is presented.