Title
A new dual CUSUM mean chart
Abstract
The conventional cumulative sum (CUSUM) chart is usually designed based on a known shift size. In usual practice, shift size is often unknown and can be assumed to vary within an interval. With such a range of shift size, the dual CUSUM (DCUSUM) chart provides more sensitivity than the CUSUM chart. In this paper, we propose dual Crosier CUSUM (DCCUSUM) charts with and without fast initial response features to efficiently monitor the infrequent changes in the mean of a normally distributed process. Monte Carlo simulations are used to compute the run length characteristics of one-sided and two-sided DCCUSUM charts. These run length characteristics are compared with those of the CUSUM, Crosier CUSUM, Shewhart-CUSUM, and DCUSUM charts in terms of the integral relative average run length. It turns out that the proposed chart shows better performance when detecting a range of mean shift sizes. A real dataset is considered to illustrate the implementation of existing and proposed charts.
Year
DOI
Venue
2019
10.1002/qre.2457
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Keywords
Field
DocType
average run length,control chart,CUSUM,DCUSUM,process mean,statistical process control
Econometrics,CUSUM,Average run length,Control chart,Statistical process control,Chart,Engineering,Statistics
Journal
Volume
Issue
ISSN
35.0
4.0
0748-8017
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
Abdul Haq16318.42
Lubna Bibi200.68