A Comparison of Shewhart-Type Time-Between-Events Control Charts Based on the Renewal Process

被引：6

作者：

Ali, Sajid ^{[1
]}

Shah, Ismail ^{[1
]}

Wang, Lichen ^{[2
]}

Yue, Zhen ^{[2
]}

机构：

[1] Quaid I Azam Univ, Dept Stat, Islamabad 45320, Pakistan

[2] Linyi Univ, Coll Life Sci, Linyi 276000, Shandong, Peoples R China

来源：

IEEE ACCESS | 2020年 / 8卷

关键词：

Germanium; Shape; Control charts; Exponential distribution; Process control; Monitoring; Weibull distribution; Average run length; continuous rank probability score; expected quadratic loss; generalized exponential distribution; high quality process; Relative average run length; SCORING RULES; AVERAGE TIME; WEIBULL; QUALITY; DESIGN; DISTRIBUTIONS; PREDICTION;

D O I：

10.1109/ACCESS.2020.3003265

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

To study the high quality processes, time-between-events (TBE) control charts have several advantages over the ordinary control charts. However, the existing TBE charts are based on the exponential distribution, which limit the application of these charts to monitor rare events. Therefore, to generalize existing exponential TBE charts, recently two new TBE charts assuming Weibull and generalized exponential distributions for the inter-arrival times of the renewal process, have been proposed in the literature. The main aim of this study is to present a detailed comparison of these charts. We use the expected quadratic loss (EQL), relative average run length (RARL), continuous rank probability score (CRPS) and closeness measure to assess the performance of the Weibull and the generalized exponential charts. We also discuss four real data examples in this article.

引用

页码：113683 / 113701

页数：19

共 42 条

[1] Monitoring of time between events with a double generally weighted moving average control chart [J].