Journal ArticleDOI
The Generally Weighted Moving Average Control Chart for Detecting Small Shifts in the Process Mean
Shey-Huei Sheu,Tse-Chieh Lin +1 more
TLDR
In this paper, a generalized control chart called the generally weighted moving average (GWMA) control chart was proposed and analyzed for detecting small shifts in the mean of a process, with time varying control limits to detect start-up shifts more sensitively.Abstract:
A generalization of the exponentially weighted moving average (EWMA) control chart is proposed and analyzed. The generalized control chart we have proposed is called the generally weighted moving average (GWMA) control chart. The GWMA control chart, with time‐varying control limits to detect start‐up shifts more sensitively, performs better in detecting small shifts of the process mean. We use simulation to evaluate the average run length (ARL) properties of the EWMA control chart and GWMA control chart. An extensive comparison reveals that the GWMA control chart is more sensitive than the EWMA control chart for detecting small shifts in the mean of a process. To enhance the detection ability of the GWMA control chart, we submit the composite Shewhart‐GWMA scheme to monitor process mean. The composite Shewhart‐GWMA control chart with/without runs rules is more sensitive than the GWMA control chart in detecting small shifts of the process mean. The resulting ARLs obtained by the GWMA control chart...read more
Citations
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Journal ArticleDOI
Nonparametric (distribution-free) control charts: An updated overview and some results
TL;DR: Both univariate and multivariate nonparametric control charts are reviewed, unlike the past reviews, which did not include the multivariate charts, here they are reviewed.
Journal ArticleDOI
Determining the state of a process control system: Current trends and future challenges
TL;DR: A comprehensive review of the literature on the industrial applications of performance assessment, as well as some of the currently available software, is also presented in this paper, with a focus on supervisory control.
Journal ArticleDOI
Number of Replications Required in Control Chart Monte Carlo Simulation Studies
Jay R. Schaffer,MyoungJin Kim +1 more
TL;DR: The results of this study indicated that using 10,000 replications was unnecessarily large and a smaller number of replications could be used to reproduce the target ARLs within the 2% error bands satisfying the modified Mundfrom's criteria.
Journal ArticleDOI
An Extended Nonparametric Exponentially Weighted Moving Average Sign Control Chart
TL;DR: In this paper, the nonparametric generally weighted moving average sign chart is developed to improve the detection capability in small process shifts and can compete with theNonparametric exponentially weighted movingAverage sign chart.
Journal ArticleDOI
Progressive Mean Control Chart for Monitoring Process Location Parameter
TL;DR: The performance of the proposed progressive mean (PM) controlchart is compared to comparedones for small and moderates shifts, and its performance for large shifts is better (in terms of the average run length).
References
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Book
Introduction to Statistical Quality Control
TL;DR: In this article, the authors present a survey of statistical process control and capability analysis techniques for improving the quality of a business process in the modern business environment, using a variety of techniques.
Journal Article
Exponentially weighted moving average control schemes: Properties and enhancements
TL;DR: The recognition that an EWMA control scheme can be represented as a Markov chain allows its properties to be evaluated more easily and completely than has previously been done.
Journal ArticleDOI
Control chart tests based on geometric moving averages
TL;DR: In this article, a graphical procedure for generating geometric moving averages is described in which the most recent observation is assigned a weight r, and all previous observations weights decreasing in geometric progression from the most recently back to the first.
Journal ArticleDOI
Exponentially weighted moving average control schemes: properties and enhancements
James M. Lucas,Michael S. Saccucci,Robert V. Baxley,William H. Woodall,Hazem D. Maragh,Fedrick W. Faltin,Gerald J. Hahn,William T. Tucker,J. Stuart Hunter,John F. MacGregor,Thomas J. Harris +10 more
TL;DR: In this article, the authors evaluate the properties of an exponentially weighted moving average (EWMA) control scheme used to monitor the mean of a normally distributed process that may experience shifts away from the target value.
Juran's quality handbook
TL;DR: The Fifth edition of the Quality Management Handbook as discussed by the authors provides a comprehensive overview of the ISO 9000 family of international quality standards and their application in the software development process. But it does not provide a detailed discussion of the quality improvement process.