Variable sampling interval control charts for monitoring the ratio of two normal variables

被引：0
|
作者：
Nguyen H.D. [1 ]
Tran K.P. [2 ]
Goh T.N. [3 ]
机构：
[1] Division of Artificial Intelligence, Dong A University, 33 Xo Viet Nghe Tinh St., Hai Chau, Da Nang
[2] Ecole Nationale Supérieure des Arts et Industries Textiles, GEMTEX Laboratory, BP, Roubaix Cedex 1
[3] Industrial and Systems Engineering Department, National University of Singapore, 21 Lower Kent Ridge Rd., Singapore
来源：
Journal of Testing and Evaluation | 2019年 / 48卷 / 03期
关键词：
Markov chain; Ratio distribution; Statistical process control; Variable sampling interval;
D O I：
10.1520/JTE20170064
中图分类号：
学科分类号：
摘要：
It is well documented that the distribution of the ratio between two random normal variables is asymmetric. As a consequence, the two-sided Shewhart control chart monitoring this ratio (denoted as Shewhart-RZ chart) has an average run length-biased property. In order to overcome this drawback, we propose in this article a design for two separated one-sided control charts. Furthermore, we improve the efficiency of the Shewhart-RZ chart by combining the Shewhart chart with a variable sampling interval strategy. The chart performance is then evaluated by using an average time to signal. The numerical results show that our proposed charts outperform the two-sided Shewhart-RZ control chart in detecting process shifts. Copyright © 2019 by ASTM International
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