Journal ArticleDOI
A new two-sided cumulative sum quality control scheme
TLDR
In this article, a two-sided cumulative sum quality control scheme was proposed and compared to a multivariate cumulative sum scheme with fast initial response features and a Markov chain approximation was used to calculate the average run lengths.Abstract:
A new two-sided cumulative sum quality control scheme is proposed. The new scheme was developed specifically to be generalized to a multivariate cumulative sum quality control scheme. The multivariate version will be examined in a subsequent paper; this article evaluates the univariate version. A comparison of the conventional two-sided cumulative sum scheme and the proposed scheme indicates that the new scheme has slightly better properties (ratio of on-aim to off-aim average run lengths) than the conventional scheme. Steady state average run lengths are discussed. The new scheme and the conventional two-sided cumulative sum scheme have equivalent steady state average run lengths. Methods for implementing the fast initial response feature for the new cumulative sum scheme are given. A comparison of average run lengths for the conventional and proposed schemes with fast initial response features is also favorable to the new scheme. A Markov chain approximation is used to calculate the average run lengths ...read more
Citations
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Journal ArticleDOI
Economic Control of Quality of Manufactured Product.
A. R. Crathorne,W. A. Shewhart +1 more
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
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.
Book
Cumulative Sum Charts and Charting for Quality Improvement
TL;DR: In this article, the authors present a CUSUM chart for a normal mean and compare it to the Shewhart Xbar chart for the same purpose, showing the effect of the change in the normal distribution.
Journal ArticleDOI
Multivariate generalizations of cumulative sum quality-control schemes
TL;DR: In this paper, the design procedures and average run lengths for two mulativariater cumulative sum (CUSUM) quality-control procedures are presented, and compared with each other and with the multivariate Shewhart chart.
References
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Journal ArticleDOI
Economic Control of Quality of Manufactured Product.
A. R. Crathorne,W. A. Shewhart +1 more
Journal ArticleDOI
An approach to the probability distribution of cusum run length
D. Brook,David Evans +1 more
TL;DR: In this paper, the operation of a cumulative sum control scheme is regarded as forming a Markov chain and the transition probability matrix for this chain is obtained and then the properties of this matrix used to determine not only the average run lengths for the scheme, but also moments and percentage points of the run-length distribution and exact probabilities of run length.
Journal ArticleDOI
A Comparison of Some Control Chart Procedures
TL;DR: In this article, the authors unify and extend previously published characterizations of moving average, geometric moving average and cumulative sum control chart procedures, and present comparable characterisations of two procedures based on tests described but not evaluated in earlier papers.