Design of Shewhart ratio control chart with variable sample size based on normalized transformation

被引：0
|
作者：
Zhou S. [1 ,2 ]
Zhang Y. [2 ]
Ke C. [2 ]
机构：
[1] China Waterborne Transport Research Institute, Beijing
[2] School of Transportation and Logistics Engineering, Wuhan University of Technology, Wuhan
来源：
Jisuanji Jicheng Zhizao Xitong/Computer Integrated Manufacturing Systems, CIMS | 2024年 / 30卷 / 02期
关键词：
average run length; normalized transformation; ratio distribution; variable sample size;
D O I：
10.13196/j.cims.2021.0630
中图分类号：
学科分类号：
摘要：
To improve the efficiency of the Shewhart control chart for monitoring the ratio of bivariate normal variables (denoted as Shewhart-RZ chart), a new control chart was proposed by combining the Shewhart-RZ chart with a variable sample size strategy (denoted as VSS Shewhart-RZ∗ chart). Based on the normalized transformation method, a new statistic Z∗ was designed to eliminate the adverse effects of varying sample size on the design and use of the control chart. The Markov chain method was used to calculate the average run length and average sample size of the VSS Shewhart-RZ∗ chart, and the corresponding parameter optimization algorithm was given. The statistical performance of VSS Shewhart-RZ∗ chart was studied through simulation analysis and compared with the Shewhart- RZ chart. The results showed that the performance of VSS Shewhart-RZ∗ chart was significantly better than Shewhart- RZ chart. © 2024 CIMS. All rights reserved.
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页码：610 / 622
页数：12
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