A control chart using an auxiliary variable and repetitive sampling for monitoring process mean

被引：35
|
作者：
Lee, Hyeseon [1 ]
Aslam, Muhammad [2 ]
Shakeel, Qurat-ul-ain [3 ]
Lee, Wonji [1 ]
Jun, Chi-Hyuck [1 ]
机构：
[1] POSTECH, Dept Ind & Management Engn, Pohang 790784, South Korea
[2] Forman Christian Coll Univ, Dept Stat, Lahore, Pakistan
[3] Kinnaird Coll Women, Dept Stat, Lahore, Pakistan
来源：
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION | 2015年 / 85卷 / 16期
基金：
新加坡国家研究基金会;
关键词：
process mean; repetitive sampling; auxiliary variable; bivariate normal; VARIANCE-ESTIMATION; PERFORMANCE;
D O I：
10.1080/00949655.2014.970553
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a new control chart is proposed by using an auxiliary variable and repetitive sampling in order to enhance the performance of detecting a shift in process mean. The product-difference type estimator of the mean is plotted on the proposed control chart, which utilizes the information of an auxiliary variable correlated with the main quality variable. The proposed control chart is based on the outer and inner control limits so that repetitive sampling is allowed when the plotted statistic falls between the two limits. The average run length (ARL) of the proposed control chart is evaluated using the Monte Carlo simulation. The proposed control chart is compared with the Riaz M control chart and the results show the outperformance of the proposed control chart in terms of the ARL.
引用
收藏
页码：3289 / 3296
页数：8
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