Directional MEWMA schemes for multistage process monitoring and diagnosis

Journal of Quality Technology

Volumn 40, Issue 4, 2008, Pages 407-427

  Zou, Changliang ^a,c   Tsung, Fugee ^b,d  

^a NANKAI UNIVERSITY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^c School of Mathematical Sciences

^d Department of Industrial Engineering and Logistics Management ^*

Author keywords

Average run length; EWMA charts; Generalized likelihood ratio test; Multivariate control charts; Recursive residuals

Indexed keywords

CONTROL CHARTS; PROCESS MONITORING; ROBUSTNESS (CONTROL SYSTEMS); SENSITIVITY ANALYSIS; STATE SPACE METHODS; STATISTICAL PROCESS CONTROL;

AVERAGE RUN LENGTHS; EWMA CHART; GENERALIZED LIKELIHOOD RATIO TEST; MULTIVARIATE CONTROL CHARTS; RECURSIVE RESIDUALS;

PROCESS CONTROL;

EID: 54249122670     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2008.11917746     Document Type: Article

References (40)

1. AGRAWAL, R.; LAWLESS, J. F.; and MACK AY, R. J. (1999). "Analysis of Variation Transmission in Manufacturing Processes - Part II". Journal of Quality Technology 31, pp. 143-154.
2. ALWAN, A. J. and ALWAN, L. C. (1994). "Monitoring Autocorrelated Processes Using Mulitivariate Quality Control Charts". Proceedings of Decision Science Institute Annual Meeting 3, pp. 2106-2108.
3. ANDERSON, T. W. (1984). An Introduction of Multivariate Statistical Analysis, 2nd edition. Wiley, New York.
4. 2 Chart for Monitoring Univariate Autocorrelated Process". Journal of Quality Technology XX, pp. 80-96.
5. BASSEVILLE, M. and NIKIFOROV, I. (1993). Detection of Abrupt Changes: Theory and Application. Prentice-Hall, Englewood Cliffs, NJ.
6. DING, Y.; CEGLAREK, D.; and SHI, J. (2002a). "Fault Diagnosis of Multistage Manufacturing Processes by Using State Space Approach". ASME Transactions, Journal of Manufacturing Science and Engineering 124, pp. 313-322.
7. DING, Y.; JIN, J.; CEGLAREK, D.; and SHI, J. (2005). "ProcessOriented Tolerancing for Multi-Station Assembly Systems". IIE Transactions 37, pp. 493-508.
8. DING, Y.; SHI, J.; and CEGLAREK, D. (2002b). "Diagnosability Analysis of Multistage Manufacturing Processes". ASME Transactions, Journal of Dynamic Systems, Measurement and Control 124, pp. 1-33.
9. DJURDJANOVIC, D. and NI, J. (2001). "Linear State Space Modeling of Dimensional Machining Errors". Transactions of NAMRI/SME XXIX, pp. 541-548.
10. DURBIN, J. and KOOPMAN, S. J. (2001). Time Series Analysis by State Space Methods. Oxford University Press, Inc., New York, NY.
11. HAUCK, D. J.; RUNGER, G. C.; and MONTGOMERY, D. C. (1999). "Multivariate Statistical Process Monitoring and Diagnosis with Grouped Regression-Adjusted Variables". Communications in Statistics - Simulation and Computation 28, pp. 309-328.
12. HAWKINS, D. M. (1991). "Multivariate Quality Control Based on Regression-Adjusted Variables". Technometrics 33, pp. 61-75.
13. HAWKINS, D. M. (1993). "Regression Adjustment for Variables in Multivariate Quality Control". Journal of Quality Technology 25, pp. 170-182.
14. HUANG, Q. and SHI, J. (2004). "Variation Transmission Analysis and Diagnosis of Multi-Operational Machining Processes" . IIE Transaction on Quality and Reliability 36, pp. 807-815.
15. HUANG, Q.; ZHOU, S.; and SHI, J. (2002). "Diagnosis of Multi-Operational Machining Processes Through Variation Propagation Analysis". Robotics and CIM Journal 18, pp. 233-239.
16. JIANG, W. (2004). "Multivariate Control Charts for Monitoring Autocorrelated Processes". Journal of Quality Technology 36, pp. 367-379.
17. JIN, J. and SHI, J. (1999). "State Space Modeling of Sheet Metal Assembly for Dimensional Control". ASME Transactions, Journal of Manufacturing Science and Engineering 121, pp. 756-762.
18. LAWLESS, J. F.; MACKAY, R. J.; and ROBINSON, J. A. (1999). "Analysis of Variation Transmission in Manufacturing Processes. Part I". Journal of Quality Technology 31, pp. 131-142.
19. LEHMANN, E. L. (1986). Testing Statistical Hypothesis, 2nd edition. Wiley, New York, NY.
20. LOWRY, C. A.; WOODALL, W. H.; CHAMP, C. W.; and RIGDON, S. E. (1992). "Multivariate Exponentially Weighted Moving Average Control Chart". Technometrics 34, pp. 46-53.
21. LUCAS, J. M. and SACCUCCI, M. S. (1990). "Exponentially Weighted Moving Average Control Scheme Properties and Enhancements". Technometrics 32, pp. 1-29.
22. MOLNAU, W. E.; RUNGER, G. C.; MONTGOMERY, D. C.; SKINNER, K. R.; LOREDO, E. N.; and PRABHU, S. S. (2001). "A Program for ARL Calculation for Multivariate EWMA Charts". Journal of Quality Technology 33, pp. 516-521.
23. MONTGOMERY, D. C. (2004). Introduction to Statistical Quality Control, 5th edition. John Wiley & Sons, New York, NY.
24. NISHINA, K. (1992). "A Comparison of Control Charts from the Viewpoint of Change-Point Estimation". Quality and Reliability Engineering Internationals, pp. 537-541.
25. PIGNATTELLO, J. J. JR. and SAMUEL, T. R. (2001). "Estimation of the Change Point of a Normal Process Mean in SPC Applications". Journal of Quality Technology 33, pp. 82-95.
26. PRABHU, S. S. and RUNGER, G. C. (1997). "Designing a Multivariate EWMA Control Chart". Journal of Quality Technology 29, pp. 8-15.
27. RAO, S.; STROJWAS, A. J.; LEHOCZKY, J. P.; and SCHERVISH, M. J. (1996). "Monitoring Multistage Integrated Circuit Fabrication Processes". IEEE Transactions on Semiconductor Manufacturing 9, pp. 495-505.
28. REYNOLDS, M. R. and Stoumbos, Z. G. (2001). "Individuals Control Schemes for Monitoring the Mean and Variance of Processes Subject to Drifts". Stochastic Analysis and Applications 19, pp. 863-892.
29. RUNGER, G. C. and PRABHU, S. S. (1996). "A Markov Chain Model for the Multivariate Exponentially Weighted Moving Averages Control Chart". Journal of the American Statistical Association 91, pp. 1701-1706.
30. SHI, J. (2006). Stream of Variation Modeling and Analysis for Multistage Manufacturing. CRC Press. Boca Raton, FL.
31. SHU, L. J.; TSUNG, F.; and KAPUR, K. C. (2004). "Design of Multiple Cause-Selecting Charts for Multistage Processes with Model Uncertainty". Quality Engineering 16, pp. 437-450.
32. STEINER, S. H. (1999). "EWMA Control Charts with Time-Varying Control Limits and Fast Initial Response". Journal of Quality Technology 31, pp. 75-86.
33. TIMMER, D. H. and PIGNATIELLO, J. J. (2003). "Change Point Estimates for the Parameters of an AR(1) Process". Quality and Reliability Engineering International 19, pp. 355-369.
34. WADE, M. R. and WOODALL, W. H. (1993). "A Review and Analysis of Cause-Selecting Control Charts". Journal of Quality Technology 25, pp. 161-169.
35. XIANG, L. and TSUNG, F. (2008). "Statistical Monitoring of Multistage Processes Based on Engineering Models". IIE Transactions, forthcoming.
36. ZANTEK, P. F.; GORDON, P. W.; and ROBERT, D. P. (2006). "A Self-Starting Procedure for Monitoring Process Quality in Multistage Manufacturing Systems". IIE Transactions 38, pp. 293-308.
37. ZHANG, G. X. (1985). "Cause-Selecting Control Charta - A New Type of Quality Control Charts". The QR Journal 12, pp. 221-225.
38. ZHOU, S.; CHEN, Y.; and SHI, J. (2004). "Statistical Estimation and Testing for Variation Root-Cause Identification of Multistage Manufacturing Processes". IEEE Transactions on Automation Science and Engineering 1, pp. 73-83.
39. ZHOU, S.; DING, Y.; CHEN, Y.; and SHI, J. (2003a). "Diagnosability Study of Multistage Manufacturing Processes Based on Linear Mixed-Effects Models". Technometrics 45, pp. 312-325.
40. ZHOU, S.; HUANG, Q.; and SHI, J. (2003b). "State Space Modeling of Dimensional Variation Propagation in Multistage Machining Process Using Differential Motion Vector". IEEE Transactions on Robotics and Automation 19, pp. 296-309.