Context-based statistical process control: A monitoring procedure for state-dependent processes

Technometrics

Volumn 45, Issue 4, 2003, Pages 293-311

  Ben Gal, Irad ^a   Morag, Gail ^a   Shmilovici, Armin ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Context tree; Kullback Leibleer statistic; Statistical process control

Indexed keywords

CORRELATION METHODS; FEEDBACK CONTROL; INFORMATION THEORY; MATHEMATICAL MODELS; REGRESSION ANALYSIS;

CONTEXT TREE; KULLBACK-LEIBLER STATISTIC;

STATISTICAL PROCESS CONTROL;

EID: 0344667562     PISSN: 00401706     EISSN: None     Source Type: Trade Journal    
DOI: 10.1198/004017003000000122     Document Type: Article

References (31)

1. Alwan, L. C., Ebrahimi, N., and Soofi, E. S. (1998), "Information Theoretic Framework for Process Control," European Journal of Operations Research, 111, 526-542.
2. Alwan, L. C., and Roberts, H. V. (1988), "Time-Series Modeling for Statistical Process Control," Journal of Business and Economics Statistics, 6, 87-95.
3. Apley, D. W., and Shi, J. (1999), "The GLRT for Statistical Process Control of Autocorrelated Processes," IIE Transactions, 31, 1123-1134.
4. Ben-Gal, I., Arviv, S., Shmilovici, A., and Grosse, I. (2002), "Promoter Recognition via Varying Order Markov Models," unpublished technical report, TA Univ. CIM lab.
5. Ben-Gal, I., Shmilovici, A., and Morag, G. (2001), "Design of Control and Monitoring Rules for State Dependent Processes," The International Journal for Manufacturing Science and Production, 3, 85-93.
6. Ben-Gal, I., and Singer, G. (2001), "Integrating Engineering Process Control and Statistical Process Control via Context Modeling," unpublished manuscript.
7. Bitran, G. R., and Dasu, S. (1992), "A Review of Open Queueing Network Models of Manufacturing Systems," Queueing Systems: Theory and Applications, Special Issue on Queueing Models of Manufacturing Systems, 12, 95-133.
8. Boardman, T. J., and Boardman, E. C. (1990), "Don't Touch That Funnel," Quality Progress, December 1990.
9. Box, G. E. P., and Jenkins, G. M. (1976), Time Series Analysis, Forecasting and Control, Oakland, CA: Holden-Day.
10. Bromaghin, J. F. (1993), "Sample-Size Determination for Interval Estimation of Multinomial Probabilities," The American Statistician, 47, 203-206.
11. Buzacott, J. A., and Yao, D. (1986a), "On Queueing Network Models of Flexible Manufacturing Systems," Queueing Systems: Theory and Applications, 1, 5-27.
12. ____ (1986b), "Flexible Manufacturing Systems: A Review of Analytical Models," Management Science, 32, 890-905.
13. Cochran, W. G. (1952), "The Chi-Square Test of Goodness of Fit," Annals of Mathematical Statistics, 23, 315-345.
14. Elliott, R. J., Lakhdaraggoun, and Moore, J. B. (1995), Hidden Markov Models, New York: Springer-Verlag.
15. Gershwin, S. B. (1994), Manufacturing System Engineering, Englewood Cliffs, NJ: Prentice-Hall.
16. Harris, T. J., and Ross, W. H. (1991), "Statistical Process Control Procedures for Correlated Observations," The Canadian Journal of Chemical Engineering, 69, 48-57.
17. Kullback, S. (1959), Information Theory and Statistics, New York: Wiley.
18. Lu, C. W., and Reynolds, M. R. (1999), "EWMA Control Charts for Monitoring the Mean of Autocorrelated Processes," Journal of Quality Technology, 31, 166-188.
19. ____ (1997), "Control Charts for Monitoring Processes with Autocorrelated Data," Nonlinear Analysis: Theory, Methods & Applications, 30, 4059-4067.
20. May, W. L., and Johnson, W. D. (1997), "Properties of Simultaneous Confidence Intervals for Multinomial Proportions," Communications in Statistics, Part B - Simulation and Computation, 26, 495-518.
21. Montgomery, D. C., and Mastrangelo, C. M. (1991), "Some Statistical Process Control Methods for Autocorrelated Data," Journal of Quality Technology, 23, 179-193.
22. Ohler, U., and Niemann, H. (2001), "Identification and Analysis of Eukaryotic Promoters: Recent Computational Approaches," TRENDS in Genetics, 17, 56-60.
23. Rissanen, J. (1983), "A Universal Data Compression System," IEEE Transactions on Information Theory, 29, 656-664.
24. ____ (1999), "Fast Universal Coding With Context Models," IEEE Transactions on Information Theory, 45, 1065-1071.
25. Runger, G., and Willemain, T. (1995), "Model-Based and Model-Free Control of Autocorrelated Processes," Journal of Quality Technology, 27, 283-292.
26. ____ (1996), "Batch-Means Control Charts for Autocorrelated Data," IIE Transactions, 24, 66-80.
27. Runger, G., Willemain, T., and Prabhu, S. (1995), "Average-Run-Lengths for CUSUM Control Charts Applied to Residuals," Communications in Statistics, Part A - Theory and Methods, 24, 273-282.
28. Shore, H. (2000), "General Control Charts for Attributes," IIE Transactions, 32, 1149-1160.
29. Wardell, D. G., Moskowitz, H., and Plante, R. D. (1994), "Run-Length Distributions of Special-Cause Control Charts for Correlated Processes," Technometrics, 36, 3-17.
30. Weinberg, M., Rissanen, J., and Feder, M. (1995), "A Universal Finite Memory Source," IEEE Transactions on Information Theory, 41, 643-652.
31. Zhang, N. F. (1998), "A Statistical Control Chart for Stationary Process Data," Technometrics, 40, 24-38.