Determining the Time of a Permanent Shift in the Process Mean of CUSUM Control Charts

2004 ◽  
Vol 17 (1) ◽  
pp. 87-93 ◽  
Author(s):  
Michael B. C. Khoo
2014 ◽  
Vol 32 (1) ◽  
pp. 269-290 ◽  
Author(s):  
Abdul Haq ◽  
Jennifer Brown ◽  
Elena Moltchanova

Author(s):  
Jiangbin Yang ◽  
Viliam Makis

A usual approach to monitoring an autocorrelated process is to apply a control chart to the process residuals. In this paper, we study the statistical behavior of the residuals of a controlled second-order autoregressive (AR(2)) cutting process when a special-cause shift occurs to the process mean. Shewhart, exponentially weighted moving average (EWMA) and cumulative sum (CUSUM) control charts are applied to the residuals to monitor the cutting process. Formulas, integral equations and recursive procedures for computing the average run lengths (ARLs) of the charts are derived. Numerical results are presented and the relative performance of the charts is investigated.


2018 ◽  
Vol 34 (8) ◽  
pp. 1732-1751 ◽  
Author(s):  
Tahir Nawaz ◽  
Muhammad Ali Raza ◽  
Dong Han

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