A case study on monitoring polynomial profiles in the automotive industry

Quality and Reliability Engineering International

Volumn 26, Issue 5, 2010, Pages 509-520

  Amiri, Amirhossein ^a   Jensen, Willis A ^b   Kazemzadeh, Reza Baradaran ^c  

^a SHAHED UNIVERSITY   (Iran)

^b W L GORE AND ASSOCIATES   (United States)

^c TARBIAT MODARES UNIVERSITY   (Iran)

Author keywords

Automotive industry; Linear mixed model; Minimum volume ellipsoid (MVE); Successive differences; T2 statistics

Indexed keywords

ALTERNATIVE APPROACH; DATA SETS; ENGINE SPEED; EXPLANATORY VARIABLES; IN-PHASE; LEAST SQUARE METHODS; LINEAR MIXED MODELS; MEAN VECTOR; MINIMUM VOLUME ELLIPSOID (MVE); PARAMETER ESTIMATE; PHASE I ANALYSIS; POLYNOMIAL MODELS; QUALITY CHARACTERISTIC; REVOLUTIONS PER MINUTES; SECOND-ORDER POLYNOMIAL; STATISTICAL PROCESS; STEP-BY-STEP; SUCCESSIVE DIFFERENCES; T2 STATISTICS; VARIANCE-COVARIANCE MATRIX;

AUTOCORRELATION; AUTOMOBILE ENGINES; AUTOMOBILE PARTS AND EQUIPMENT; COVARIANCE MATRIX; POLYNOMIALS; QUALITY CONTROL; STATISTICAL PROCESS CONTROL;

AUTOMOTIVE INDUSTRY;

EID: 77955681855     PISSN: 07488017     EISSN: 10991638     Source Type: Journal    
DOI: 10.1002/qre.1071     Document Type: Article

References (30)

1. Woodall WH, Spitzner DJ, Montgomery DC, Gupta S. Using control charts to monitor process and product quality profiles. Journal of Quality Technology 2004;36(3):309-320.
2. Woodall WH. Current research on profile monitoring. Revista Producão 2007;17(3):420-425.
3. Kang L, Albin SL. On-line monitoring when the process yields a linear profile. Journal of Quality Technology 2000;32(4):418-426.
4. Mahmoud MA, Woodall WH. Phase I analysis of linear profiles with calibration applications. Technometrics 2004;46(4):380-391.
5. Wang K, Tsung F. Using profile monitoring techniques for a data-rich environment with huge sample size. Quality and Reliability Engineering International 2005;21(7):677-688.
6. Montgomery DC. Introduction to Statistical Quality Control (5th edn). Wiley: New York, 2005.
7. Zou C, Tsung F, Wang Z. Monitoring general linear profiles using multivariate exponentially weighted moving average schemes. Technometrics 2007;49(4):395-408.
8. Williams JD, Birch JB, Woodal WH, Ferry NH. Statistical monitoring of heteroscedastic dose-response profiles from high-throughput screening. Journal of Agricultural, Biological, and Environmental Statistics 2007;12(2):216-235.
9. Mestek O, Pavlik J, Suchánek M. Multivariate control charts: Control charts for calibration curves. Fresenius' Journal of Analytical Chemistry 1994;350(6):344-351.
10. Stover FS, Brill RV. Statistical quality control applied to ion chromatography calibrations. Journal of Chromatography A 1998;804(1-2): 37-43.
11. Kim K, Mahmoud MA, Woodall WH. On the monitoring of linear profiles. Journal of Quality Technology 2003;35(3):317-328.
12. Noorossana R, Amiri A, Vaghefi SA, Roghanian E. Monitoring quality characteristics using linear profile. Proceedings of the 3rd International Industrial Engineering Conference, Tehran, Iran, 2004.
13. Gupta S, Montgomery DC, Woodall WH. Performance evaluation of two methods for online monitoring of linear calibration profiles. International Journal of Production Research 2006;44(10):1927-1942.
14. Zou C, Zhang Y, Wang Z. Control chart based on change-point model for monitoring linear profiles. IIE Transactions 2006;38(12):1093-1103.
15. Mahmoud MA, Parker PA, Woodall WH, Hawkins DM. A change point method for linear profile data. Quality and Reliability Engineering International 2007;23(2):247-268.
16. Zhang J, Li Z, Wang Z. Control chart based on likelihood ratio for monitoring linear profiles. Computational Statistics and Data Analysis 2009;53(4):1440-1448.
17. Saghaei A, Mehrjoo M, Amiri A. A CUSUM-based method for monitoring simple linear profiles. The International Journal of Advanced Manufacturing Technology 2009; DOI: 10.1007/s00170-009-2063-2.
18. Kazemzadeh RB, Noorossana R, Amiri A. Monitoring polynomial profiles in quality control applications. The International Journal of Advanced Manufacturing Technology 2009;42(7):703-712.
19. Kazemzadeh RB, Noorossana R, Amiri A. Phase I monitoring of polynomial profiles. Communications in Statistics-Theory and Methods 2008;37(10):1671-1686.
20. Mahmoud MA. Phase I analysis of multiple regression linear profiles. Communications in Statistics, Simulation and Computation 2008;37(10):2106-2130.
21. Noorossana R, Vaghefi SA, Amiri A. The effect of non-normality on monitoring linear profiles. Proceedings of the 2nd International Industrial Engineering Conference, Riyadh, Saudi Arabia, 2004.
22. Jensen WA, Birch JB, Woodall WH. Monitoring correlation within linear profiles using mixed models. Journal of Quality Technology 2008;40(2):167-183.
23. Jensen WA, Birch JB. Profile monitoring via nonlinear mixed models. Journal of Quality Technology 2009;41(1):18-34.
24. Soleimani P, Noorossana R, Amiri A. Simple linear profiles monitoring in the presence of within profile autocorrelation. Computers and Industrial Engineering 2009;57(3):1015-1021.
25. Noorossana R, Amiri A, Soleimani P. On the monitoring of autocorrelated linear profiles. Communications in Statistics-Theory and Methods 2008;37(3):425-442.
26. Kazemzadeh RB, Noorossana R, Amiri A. Phase II monitoring of autocorrelated polynomial profiles in AR (1) processes. International Journal of Science and Technology, Scientia Iranica 2009; in press.
27. Verbeke G, Molenberghs G. Linear Mixed Models for Longitudinal Data. Springer: New York, NY, 2000.
28. Vargas JA. Robust estimation in multivariate control charts for individual observations. Journal of Quality Technology 2003;35(3):367-376.
29. Jensen WA, Birch JB, Woodall WH. High breakdown estimation for phase I multivariate control charts. Quality and Reliability Engineering International 2007;23(5):615-629.
30. 2 statistic based on the successive differences estimator. Journal of Quality Technology 2006;38(3):217-229.