期刊
IIE TRANSACTIONS
卷 48, 期 8, 页码 759-771出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/0740817X.2016.1146422
关键词
Cumulative sum; dynamic control limits; fast initial response; integral equation
资金
- National Natural Science Foundation of China [71325003, 71502106, 71531010]
- National Science Foundation [CMMI-1436365]
- RGC [CityU8/CRF/12G, T32-102/14N, T32-101/15-R]
- [FDCT/053/2015/A2]
- [MYRG090(Y1-L2)-FBA13-SLJ]
Control charts are usually designed with constant control limits. In this article, we consider the design of control charts with probability control limits aimed at controlling the conditional false alarm rate at the desired value at each time step. The resulting control limits are dynamic and thus are more general and capable of accommodating more complex situations in practice as compared with the use of a constant control limit. We consider the situation when the sample sizes are varying over time, with a primary focus on the CUmulative SUM (CUSUM)-type control charts. Unlike other methods, no assumptions about future sample sizes are required with our approach. An integral equation approach is developed to facilitate the design and analysis of the CUSUM control chart with probability control limits. The relationship between the CUSUM charts using probability control limits and the CUSUM charts with a fast initial response feature is investigated.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据