Title
New Synthetic CUSUM and Synthetic EWMA Control Charts for Monitoring the Process Mean using Auxiliary Information.
Abstract
The cumulative sum (CUSUM) and exponentially weighted moving average (EWMA) control charts are potentially powerful process monitoring tool because of their excellent speed in detecting small to moderate shifts in the process parameters. These control charts can be further improved by integrating them with the conforming run length control chart, resulting in the synthetic CUSUM (SynCUSUM) and synthetic EWMA (SynEWMA) charts. In this paper, we enhance the detection abilities of the SynCUSUM and SynEWMA charts using the auxiliary information. With suitable assumptions, the proposed control charts encompass the existing SynCUSUM, SynEWMA, CUSUM, and EWMA charts. Extensive Monte Carlo simulations are used to study the run length profiles of the proposed control charts. It turns out that the proposed near-optimal control charts with the auxiliary information perform uniformly and substantially better than the existing near-optimal SynCUSUM, SynEWMA, CUSUM, and EWMA charts. The proposed and existing control charts are also illustrated with the help of an example. Copyright (c) 2017 John Wiley & Sons, Ltd.
Year
DOI
Venue
2017
10.1002/qre.2124
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Keywords
Field
DocType
auxiliary information,average run length,conforming run length,control chart,CUSUM,EWMA,statistical process control,synthetic chart
CUSUM,Monte Carlo method,Average run length,Exponentially weighted moving average,EWMA chart,Control chart,Statistical process control,Engineering,Statistics
Journal
Volume
Issue
ISSN
33
7
0748-8017
Citations 
PageRank 
References 
2
0.45
1
Authors
1
Name
Order
Citations
PageRank
Abdul Haq16318.42