Browse > Article
http://dx.doi.org/10.5351/KJAS.2008.21.3.509

Procedures for Monitoring the Process Mean and Variance with One Control Chart  

Jung, Sang-Hyun (Graduate Student, Dept. of Statistics, Chung-Ang University)
Lee, Jae-Heon (Dept. of Statistics, Chung-Ang University)
Publication Information
The Korean Journal of Applied Statistics / v.21, no.3, 2008 , pp. 509-521 More about this Journal
Abstract
Two control charts are usually required to monitor both the process mean and variance. In this paper, we introduce control procedures for jointly monitoring the process mean and variance with one control chart, and investigate efficiency of the introduced charts by comparing with the combined two EWMA charts. Our numerical results show that the GLR chart, the Omnibus EWMA chart, and the Interval chart have good ARL properties for simultaneous changes in the process mean and variance.
Keywords
Process control; GLR chart; EWMA chart; interval chart; agerage run length;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Gan, F. F., Ting, K. W. and Chang, T. C. (2004). Interval charting schemes for joint monitoring of process mean and variance, Quality and Reliability Engineering International, 20, 291-304   DOI   ScienceOn
2 Amin, R. W., Wolff, H., Besenfelder, W. and Baxley, R., Jr. (1999). EWMA control charts for the smallest and largest observations, Journal of Quality Technology, 31, 189-206   DOI
3 Apley, D. W. and Shi, J. (1999). The GLRT for statistical process control of autocorrelated processes, IIE Transactions, 31, 1123-1134
4 Chen, G., Cheng, S. W. and Xie, H. (2001). Monitoring process mean and variability with one EWMA chart, Journal of Quality Technology, 33, 223-233.   DOI
5 Amin, R. W. and Wolff, H. (1995). The behavior of EWMA-type quality control schemes in the case of mixture alternatives, Sequential Analysis, 14, 157-177   DOI   ScienceOn
6 Domangue, R. and Patch, S. C. (1991). Some omnibus exponentially weighted moving average statistical process monitoring schemes, Technometrics, 33, 299-313   DOI
7 Sarkadi, K. and Vincze, I. (1974). Mathematical methods of statistical quality control, Academic Press, New York
8 Vander Wiel, S. A. (1996). Monitoring processes that wander using integrated moving average models, Technometrics, 38, 139-151   DOI
9 Crowder, S. V. and Hamilton, M. D. (1992). An EWMA for monitoring a process standard deviation, Journal of Quality Technology, 24, 12-21   DOI
10 Howell, J. M. (1949). Control chart for largest and smallest values, The Annals of Mathematical Staistics, 20, 305-309   DOI