Variable Sampling Interval Control Charts for Monitoring the Ratio of Two Normal Variables

被引：5

作者：

Huu Du Nguyen ^{[1
]}

Kim Phuc Tran ^{[2
]}

Thong Ngee Goh ^{[3
]}

机构：

[1] Dong A Univ, Div Artificial Intelligence, 33 Xo Viet Nghe Tinh St, Hai Chau 50206, Da Nang, Vietnam

[2] Ecole Natl Super Arts & Ind Text, GEMTEX Lab, BP 30329, F-59056 Roubaix 1, France

[3] Natl Univ Singapore, Ind & Syst Engn Dept, 21 Lower Kent Ridge Rd, Singapore 119077, Singapore

来源：

JOURNAL OF TESTING AND EVALUATION | 2020年 / 48卷 / 03期

关键词：

variable sampling interval; ratio distribution; Markov chain; statistical process control; RZ CONTROL CHART; PERFORMANCE; COEFFICIENT;

D O I：

10.1520/JTE20190327

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

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.

引用

页码：2505 / 2529

页数：25

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