Paper Info
Title
Monitoring the Coefficient of Variation Using the Side Sensitive Group Runs Chart
Abstract
Many quality characteristics have means and standard deviations that are not independent. Instead, the standard deviations of these quality characteristics are proportional to their corresponding means. Thus, monitoring the coefficient of variation (CV), for these quality characteristics, using a control chart has gained remarkable attention in recent years. This paper presents a side sensitive group runs chart for the CV (called the SSGR CV chart). The implementation and optimization procedures of the proposed chart are presented. Two optimization procedures are developed, i.e. (i) by minimizing the average run length (ARL) when the shift size is deterministic and (ii) by minimizing the expected average run length (EARL) when the shift size is unknown. An application of the SSGR CV chart using a real dataset is also demonstrated. Additionally, the SSGR CV chart is compared with the Shewhart CV, runs rules CV, synthetic CV and exponentially weighted moving average CV charts by means of ARLs and standard deviation of the run lengths. The performance comparison is also conducted using EARLs when the shift size is unknown. In general, the SSGR CV chart surpasses the other charts under comparison, for most upward and downward CV shifts. Copyright (C) 2015 John Wiley & Sons, Ltd.
Year
DOI
Venue
2016
10.1002/qre.1922
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Keywords
Field
DocType
coefficient of variation,side sensitive group runs,unknown shift size,average run length,standard deviation of the run length
Econometrics,Coefficient of variation,Average run length,Exponentially weighted moving average,X-bar chart,Control chart,Chart,Engineering,Statistics,Standard deviation
Journal
Volume
Issue
ISSN
32
5
0748-8017
Citations 
PageRank 
References 
4
0.46
5
Authors
4
Name
Order
Citations
PageRank
huay woon you140.46
Michael B. C. Khoo228249.97
Philippe Castagliola352961.65
Abdul Haq46318.42