Optimal monitoring of multivariate data for fault patterns

Journal of Quality Technology

Volumn 39, Issue 2, 2007, Pages 159-172

  Runger, George C ^a,d   Barton, Russell R ^b,d   Del Castillo, Enrique ^b,d   Woodall, William H ^c,d  

^a ARIZONA STATE UNIVERSITY   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^d Department of Industrial Engineering ^*  (United States)

Author keywords

Control charts; Multivariate quality control; Profile monitoring; SPC; Statistical process control

Indexed keywords

CONDITION MONITORING; LEAST SQUARES APPROXIMATIONS; MULTIVARIABLE CONTROL SYSTEMS; QUALITY CONTROL; STATISTICAL PROCESS CONTROL;

CONTROL CHARTS; MULTIVARIATE QUALITY CONTROL; PROFILE MONITORING; QUALITY VECTORS;

OPTIMAL CONTROL SYSTEMS;

EID: 34047235199     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2007.11917683     Document Type: Article

References (58)

1. APLEY, D. W. and LEE, H. Y. (2003). "Identifying Spatial Variation Patterns in Multivariate Manufacturing Processes: A Blind Separation Approach". Technometrics 45, pp. 220-234.
2. APLEY, D. W. and SHI, J. (1998). "Diagnosis of Multiple Fixture Faults in Panel Assembly". ASME Journal of Manufacturing Science and Engineering 120, pp. 793-801.
3. APLEY, D. W. and SHI, J. (2001). "A Factor-Analysis Method for Diagnosing Variability in Multivariate Manufacturing Processes". Technometrics 43, pp. 84-95.
4. BARTON, R. R. and GONZÁLEZ-BARRETO, D. R. (1996). "Process-Oriented Basis Representations for Multivariate Process Diagnostics". Quality Engineering 9, pp. 107-118.
5. CEGLAREK, D. AND SHI, J. (1996). "FIXTURE FAILURE DIAGNOSIS FOR AUTO BODY ASSEMBLY USING PATTERN RECOGNITION" . ASME Transactions, Journal of Engineering for Industry 118, PP. 55-65.
6. DEL CASTILLO, E. (1996). "Run Length Distributions and Economic Design of Xbar Charts with Unknown Process Variance". Metrika 43(3), pp. 189-201.
7. DING, Y.; CEGLAREK, D.; and SHI, J. (2002). "Fault Diagnosis of Multistage Manufacturing Processes by Using State Space Approach". ASME Transactions: Journal of Manufacturing Science and Engineering 124, pp. 313-322.
8. DING, Y.; GUPTA, A.; and APLEY, D. (2004). "Singularity Issues in Fixture Fault Diagnosis for Multi-Station Assembly Systems". ASME Journal of Manufacturing Science and Engineering 126, pp. 200-210.
9. DING, Y.; ZHENG, L.; and ZHOU, S. (2006). "Phase-I Analysis for Monitoring Nonlinear Profile Signals in Manufacturing Processes". Journal of Quality Technology 38, pp. 199-216.
10. DJURDJANOVIC, D. and NI, J. (2001). "Linear State Space Modeling of Dimensional Machining Errors". Transactions of the North American Research Conference XXIX, pp. 541-548.
11. FLURY, B. D.; NEL, D. G.; and PIENAAR, I. (1995). "Simultaneous Detection of Shift in Means and Variances". Journal of the American Statistical Association 90, pp. 1474-1481.
12. GONZÁLEZ-BARRETO, D. R. (1996). "Process Oriented Basis Representations for Multivariate Process Diagnostics and Control". Ph.D. Thesis, Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park, PA.
13. HAYTER, A. J. and TSUI, K.-L. (1994). "Identification and Quantification in Multivariate Quality Control Problems". Journal of Quality Technology 26, pp. 197-208.
14. 2 Control Chart". Quality Engineering 5, pp. 619-625.
15. HOTELLING, H. (1947). "Multivariate Quality Control - Illustrated by the Air Testing of Sample Bombsights", in Techniques of Statistical Analysis, eds. C. Eisenhart, M. W. Hastay, and W. A. Wallis, McGraw-Hill, New York, NY, pp. 111-184.
16. HUANG, Q.; SHI, J.; and YUAN, J. (2003). "Part Dimensional Error and Its Propagation Modeling in Multi-Operational Machining Processes". ASME Journal of Manufacturing Science and Engineering 125, pp. 255-262.
17. HUANG, Q. and SHI, J. (2004). "Variation Transmission Analysis and Diagnosis of Multi-Operational Machining Processes" . IIE Transactions on Quality and Reliability 36, pp. 807-815.
18. JACKSON, J. E. (1959). "Quality Control Methods for Several Related Variables". Technometrics 1, pp. 359-377.
19. JACKSON, J. E. (1985). "Multivariate Quality Control". Communications in Statistics - Theory and Methods 14, pp. 2657-2688.
20. JACKSON J. E. (1991). A User's Guide to Principal Components. John Wiley and Sons, New York, NY.
21. JACKSON, J. E. and MUDHOLKAR, G. S. (1979). "Control Procedures for Residuals Associated with Principal Components". Technometrics 21, pp. 341-349.
22. JIN, J. and GUO, H. (2003). "ANOVA Methods for Variance Component Decomposition and Diagnosis in Batch Manufacturing Processes". The International Journal of Flexible Manufacturing Systems 15, pp. 167-186.
23. JIN, J. and SHI, J. (1999a). "Feature-Preserving Data Compression of Stamping Tonnage Information Using Wavelets". Technometrics 41, pp. 327-339.
24. JIN, J. and SHI, J. (1999b). "State Space Modeling of Sheet Metal Assembly for Dimensional Control". ASME Journal of Manufacturing Science and Engineering 121, pp. 756-762.
25. JIN, N. and ZHOU, S. (2005). "Data-Driven Variation Source Identification of Manufacturing Processes Based on Eigenspace Comparison". Naval Research Logistics, under revision.
26. KANG, L. and ALBIN, S. L. (2000). "On-Line Monitoring when the Process Yields a Linear Profile". Journal of Quality Technology 32, pp. 418-426.
27. KIM, K.; MAHMOUD, M. A.; and WOODALL, W. H. (2003). "On the Monitoring of Linear Profiles". Journal of Quality Technology 35, pp. 317-328.
28. LEE, H. Y. and APLEY, D. W. (2004). "Diagnosing Manufacturing Variation Using Second-Order and Fourth-Order Statistics". International Journal of Flexible Manufacturing Systems 16, pp. 45-64.
29. LIU, Q.; DING, Y.; and CHEN, Y. (2005). "Optimal Coordinate Sensor Placements for Estimating Mean and Variance Components of Variation Sources". IIE Transactions, 37, pp. 877-889.
30. MASTRANGELO, C. M.; RUNGER, G. C.; and MONTGOMERY, D. C. (1996). "Statistical Process Monitoring with Principal Components". Quality and Reliability Engineering International 12, pp. 203-210.
31. PATRICK, E. A. (1972). Fundamentals of Pattern Recognition. Prentice-Hall, Englewood Cliffs, NJ, pp. 411-449.
32. PIGNATIELLO, J. J., JR. and RUNGER, G. C. (1990). "Comparisons of Multivariate CUSUM Charts". Journal of Quality Technology 22, pp. 173-186.
33. QIN, S. J. (2003). "Statistical Process Monitoring: Basics and Beyond". Journal of Chemometrics 17, pp. 480-502.
34. QUESENBERRY, C. P. (1993). "The Effect of Sample Size on Estimated Limits on Xbar and X Control Charts". Journal of Quality Technology 25, pp. 237-247.
35. RAO, C. R. (1967). "Least Squares Theory Using an Estimated Dispersion Matrix and Its Application to Measurement of Signals". Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability I, pp. 355-372.
36. RAO, C. R. (1971). "Estimation of Variance Components: MINQUE Theory". Journal of Multivariate Analysis 1, pp. 257-275.
37. REINSEL, G. C. (1997). Elements of Multivariate Time Series Analysis, 2nd edition, Springer-Verlag, New York, NY.
38. RONG, Q.; SHI, J.; and CEGLAREK, D. (2001). "Adjusted Least Squares Approach for Diagnosis of III-Conditioned Compliant Assemblies". ASME Journal of Manufacturing Science and Engineering 123, pp. 453-461.
39. 2 Multivariate Control Chart". Journal of Quality Technology 28, pp. 313-319.
40. RUNGER, G. C. and ALT, F. B. (1996). "Choosing Principal Components for Multivariate Statistical Process Control". Communications in Statistics - Theory and Methods 25, pp. 909-922.
41. RUNGER, G. C.; ALT, F. B.; and MONTGOMERY, D. C. (1996). "Controlling Multiple Stream Processes with Principal Components". International Journal of Production Research 34(11), pp. 2991-2999.
42. SCHALL, S. and CHANDRA, M. J. (1987). "Multivariate Quality Control Using Principal Components". International Journal of Production Research 25, pp. 571-588.
43. SCHEFFÉ, H. (1959). The Analysis of Variance. John Wiley & Sons, Inc., New York, NY.
44. SCHRUBEN, L. W. and MARGOLIN, B. H. (1978). "Pseudorandom Number Assignment in Statistically Designed Simulation and Distribution Sampling Experiments" (with comments.) Journal of the American Statistical Association 73, pp. 504-520.
45. SCRANTON, R.; RUNGER, G. C.; KEATS, J. B.; and MONTGOMERY, D. C. (1996). "Efficient Shift Detection Using a Multivariate EWMA Control Chart and Principal Components" . Quality and Reliability Engineering International 12, pp. 165-172.
46. SEDER, L. A. (1950). "Diagnosis with Diagrams - Part II". Industrial Quality Control 6, pp. 7-10.
47. SHI, J. (2006). Stream of Variation Methodologies for Multistage Manufacturing Processes. CRC Press, Boca Raton, FL.
48. SULLIVAN, J. H. and WOODALL, W. H. (1996). "A Comparison of Multivariate Control Charts for Individual Observations". Journal of Quality Technology 28, pp. 398-408.
49. VARGAS, J. A. (2003). "Robust Estimation in Multivariate Control Charts for Individual Observations". Journal of Quality Technology 35, pp. 367-376.
50. WANG, H. and HUANG, Q. (2006). "Error Cancellation Modeling and Its Application in Machining Process Control". IIE Transactions on Quality and Reliability 38, pp. 379-388.
51. WANG, H.; HUANG, Q.; and KATZ, R. (2005). "Multi-Operational Machining Processes Modeling for Sequential Root Cause Identification and Measurement Reduction". ASME Journal of Manufacturing Science and Engineering 127, pp. 512-521.
52. WATSON, G. S. (1967). "Linear Least Squares Regression". Annals of Mathematical Statistics 38, pp. 1679-=1699.
53. WOODALL, W. H. and NCUBE, M. M. (1985). "Multivariate CUSUM Quality Control Procedures". Technometrics 27, pp. 285-292.
54. WOODALL, W. H.; SPITZNER, D. J.; MONTGOMERY, D. C.; and GUPTA, S. (2004). "Using Control Charts to Monitor Process and Product Quality Profiles". Journal of Quality Technology 36, pp. 309-320.
55. YANG, K.; HE, Y.; and XIE, W. (1994). "Statistical Diagnosis and Analysis Techniques: a Multivariate Statistical Study for an Automotive Door Assembly Process". Quality Engineering 7, 1-29.
56. YOUNG, T. M.; WINISTORFER, P. M.; and WANG, S. (1999). "Multivariate Control Charts of MDF and OSB Vertical Density Profile Attributes". Forest Products Journal 49, pp. 79-86.
57. ZHOU, S.; CHEN, Y.; and SHI, J. (2004). "Statistical Estimation and Testing for Variation Root Cause Identification of Multistage Machining Processes". IEEE Transactions on Automation Science and Engineering 1, pp. 73-83.
58. ZHOU, S.; DING, Y.; CHEN, Y.; and SHI, J. (2003). "Diagnos-ability Study of Multistage Manufacturing Processes Based on Linear Mixed-Effects Models". Technometrics 45, pp. 312-345.