New CUSUM and Shewhart-CUSUM charts for monitoring the process mean

被引：10

作者：

Haq, Abdul ^{[1
]}

Munir, Waqas ^{[1
]}

机构：

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

来源：

QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL | 2021年 / 37卷 / 08期

关键词：

average run-length; control charts; cumulative sum; double ranked set sampling; statistical process control; FAST INITIAL RESPONSE; AVERAGE CONTROL CHARTS; CONTROL SCHEMES;

D O I：

10.1002/qre.2930

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The CUmulative SUM (CUSUM) charts have sensitive nature against small and moderate shifts that occur in the process parameter(s). In this article, we propose the CUSUM and combined Shewhart-CUSUM charts for monitoring the process mean using the best linear unbiased estimator of the location parameter based on ordered double-ranked set sampling (RSS) scheme, where the CUSUM chart refers to the Crosier's CUSUM chart. The run-length characteristics of the proposed CUSUM charts are computed with the Monte Carlo simulations. The run-length profiles of the proposed CUSUM charts are compared with those of the CUSUM charts based on simple random sampling, RSS, and ordered RSS schemes. It is found that the proposed CUSUM charts uniformly outperform their existing counterparts when detecting all different kinds of shifts in the process mean. A real data set is also considered to explain the implementation of the proposed CUSUM charts.

引用

页码：3512 / 3528

页数：17

共 35 条

[1] On Dual Use of Auxiliary Information for Efficient Monitoring [J].