An Evaluation of Single-Featured EWMA-X (SFEWMA-X) Control Chart with Process Mean Shifts and Standard De-viation Changes

Chi-Shuan Liu^a, Fang-Chih Tien^b,*

^a College of Management, National Taipei University of Technology, Taipei, Taiwan, ROC PhD Candidate
^a Department of Industrial Engineering and Management, Chaoyang University of Technology, Taichung County, Taiwan, ROC
^b Collage of Management, National of Industrial Engineering and Management, No.1, Sec. 3, Chuan-Hsiao East Road, Taipei, 10608, Taiwan, ROC

REFERENCES

1. [1] Shewhart, W. A. 1931. “Economic Control of Quality of Manufactured Product”. Van Nostrand, New York.
   
   
2. [2] Roberts, S. W. 1959. Control chart tests based on geometric moving average. Technomertics, 1: 239-250.
   
   
3. [3] Hunter, J. S. 1986. The exponentially weighted moving average. Journal of Quality Technology, 18: 203-210.
   
   
4. [4] Crowder, S. V. 1987. A simple method for studying run-Length distribution of exponentially weighted moving average charts. Technometrics, 29: 401-407.
   
   
5. [5] Lucas, J. M. and Saccucci, M. S. 1990. Exponentially weighted moving average control Scheme: properties and enhancement. Technometrics, 32: 1-12.
   
   
6. [6] Neubauer, A. S. 1997. The EWMA control chart: properties and comparison with other quality-control procedures by computer simulation. Clinical Chemistry, 43: 594-601.
   
   
7. [7] Woodall, W. H. and Maragah, H. D. 1990. Discussion. Exponentially weighted moving average control schemes: properties and enhancements. Technometrics, 32: 1-29.
   
   
8. [8] Klein, M. 1996. Composite She-whart-EWMA statistical control schemes. IIE Transactions, 28: 475-481.
   
   
9. [9] Tolley, G. O. and English, J. R. 1999. Economic design of constrained EWMA and combined EWMA- X control scheme. IIE Transactions, 33: 429-436.
   
   
10. [10] Zhang, L., Bebbington, M. S., Govindaraju, K. and Lai, C. D. 2004. Composite EWMA control charts. Communication in Statistics: Simulation and Computation, 33: 1133-1158.
    
    
11. [11] Serel, D. A. and Moskowitz, H. 2008. Joint economic design of EWMA control charts for mean and variance. European Journal of Operational Research, 184: 157-168.
    
    
12. [12] Hawkins, D. M. and Deng, Q. 2009. Combined charts for mean and variance Information. Journal of Quality Technology, 41: 415-425.
    
    
13. [13] Sheu, S. H. and Lu, S. L. 2009. The effect of auto-correlated observations on a GWMA control chart performance. International Journal of Quality and Reliability Management, 26: 112-128.
    
    
14. [14] Simões, B. F. T., Epprecht, E. K. and Costa, A. F. B. 2010. Performance comparisons of EWMA control chart schemes. Quality Technology & Quantitative Management, 3: 249-261.
    
    
15. [15] Albin, S. L., Kang, L., and Shea, G. 1997. An X and EWMA chart for individual observations. Journal of Quality Technology, 29: 41-48.
    
    
16. [16] Reynolds, M. R. and Stoumbos, Z. G. 2001. Individuals control schemes for monitoring the mean and variance of process subject to drifts. Stochastic Analysis and Applications, 19: 863-892.
    
    
17. [17] Reynolds, M. R. and Stoumbos, Z. G. 2001. Monitoring the process mean and variances using individual observations and variable sampling intervals. Journal of Quality Technology, 33: 181-205.
    
    
18. [18] Stoumbos, Z. G. and Reynolds, M. R. 2005. Economic statistical design of adaptive control schemes for monitoring the mean and variance: an application to analyzers. Nonlinear Analysis, 6: 817-844.
    
    
19. [19] Liu, C. S. and Tien, F. C. 2011. A single-featured EWMA-X control chart for detecting shifts in process mean and standard deviation. Journal of Applied Statistics. (accepted January 2011)
    
    
20. [20] Sheu, S. H., and Lin, T. C. 2003. The generally weighted moving average control chart for detecting small shifts in the process mean. Quality Engineering, 16: 209-231.