A Comparison of Statistical Process Control (SPC) and On-Line Multivariate Analyses (MVA) for Injection Molding
-
D. O. Kazmer
, S. Westerdale und D. Hazen
Abstract
Manufacturing process automation is often impeded by limitations related to automatic quality assurance. Many plastics manufacturers use univariate statistical process control (SPC) for quality control by charting the critical process states relative to defined control limits. Alternatively, principal component analysis (PCA) and projection to latent stuctures (PLS) are multivariate methods that measure the process variance by the distance to the model (DModX) and the Hotelling t-squared (T2) values. A methodology for robust model development is described to perturb the manufacturing process for process characterization based on a design of experiments; best subset analysis is used to provide an optimal set of regressors for univariate SPC. Four different statistical models were derived from the same data set for a highly instrumented injection molding process. The performance of these models was then assessed with respect to fault diagnosis and defect identification when the molding process was subjected to twelve common process faults. Across two hundred molding cycles, the univariate SPC models correctly diagnosed five of the twelve process faults with one false positive, detecting only eighteen of twenty four defective products while indicating two false positives. With the same molding cycles, PCA and PLS provided nearly identical performance by correctly diagnosing ten of the twelve process faults and detecting twenty three of the twenty four defective products; PCA indicated two false positives while PLS indicated only one false positive.
References
Alwan, L. C., “Cusum Quality Control-multivariate Approach”, Communications in Statistics-Theory and Methods, 15, 3531–3543 (1986)10.1080/03610928608829327Suche in Google Scholar
Andover, M. A., SenseLinkTM QM, MKS Instruments (2007)Suche in Google Scholar
Box, G. E. P., et al., “Statistics for Experimenters: An Introduction to Design, Data Analysis, and Model Building”, Wiley Series in Probability and Mathematical Statisics, p. 374–452 (1978)Suche in Google Scholar
Breyfogle, F. W., Implementing Six Sigma: Smarter Solutions Using Statistical Methods, John Wiley, New York (1999)Suche in Google Scholar
Castillo, E. D., et al., “A Review of Statistical Process Control Techniques for Short Run Manufacturing Systems”, Communications in Statistics-Theory and Methods, 25, 2723–2737 (1996)10.1080/03610929608831866Suche in Google Scholar
Chen, J., Liao, C. M., “Dynamic Process Fault Monitoring Based on Neural Network and PCA”, J. Process Control, 12, 277–289 (2002)10.1016/S0959-1524(01)00027-0Suche in Google Scholar
Cheng, H., et al., “Fault Diagnosis of the Paper Machine Short Circulation Process Using Novel Dynamic Causal Digraph Reasoning”, J. Process Control, 18, 676–691 (2008)10.1016/j.jprocont.2007.12.003Suche in Google Scholar
Chunhui, Z., et al., “Adaptive Monitoring Method for Batch Processes Based on Phase Dissimilarity Updating with Limited Modeling Data”, Ind. Eng. Chem. Res., 46, 4943–4953 (2007)10.1021/ie061320fSuche in Google Scholar
Doymaz, F., et al., “A Robust Strategy for Real-time Process Monitoring”, J. Process Control, 11, 343–359 (2001)10.1016/S0959-1524(00)00004-4Suche in Google Scholar
Eriksson, L., Multi-and Megavariate Data Analysis, UMetrics (2001)Suche in Google Scholar
Harris, T. J., et al., “A Review of Performance Monitoring and Assessment Techniques for Univariate and Multivariate Control Systems”, J. Process Control, 9, 1–17 (1999)10.1016/S0959-1524(98)00031-6Suche in Google Scholar
Heider, D., et al., “Application of a Neural Network to Improve an Automated Thermoplastic Tow-placement Process”, J. Process Control, 12, 101–111 (2002)10.1016/S0959-1524(00)00064-0Suche in Google Scholar
Hocking, R. R., Leslie, R. N., “Selection of the Best Subset in Regression Analysis”, Technometrics, 9, 531–540 (1967)10.1080/00401706.1967.10490502Suche in Google Scholar
Kazmer, D. O., Precision Process Control of Precision Injection Molding, in Precision Injection Molding: Process, Materials, and Applications. Greener, J., Wimberger-Friedl, R., Hanser Publishers, Munich, p. 265–297 (2006)Suche in Google Scholar
Kinnelon, N. J., Simpca-P+, UMetrics AB (2005)Suche in Google Scholar
Lee, J. M., et al., “Statistical Process Monitoring with Independent Component Analysis”, J. Process Control, 14, 467–485 (2004)10.1016/j.jprocont.2003.09.004Suche in Google Scholar
Loeblein, C., et al., “Economic Performance Analysis in the Design of On-line Batch Optimization Systems”, J. Process Control, 9, 61–78 (1999)10.1016/S0959-1524(98)00034-1Suche in Google Scholar
Login, A., et al., “Economic Design of an Adaptive T 2 Control Chart”, J. Operational Research Society, 58, 337–345 (2007)10.1057/palgrave.jors.2602138Suche in Google Scholar
Lowry, C. A., Montgomery, D. C., “A Review of Multivariate Control Charts”, IIE Transactions, 27, 800–810 (1995)10.1080/07408179508936797Suche in Google Scholar
Lu, N., Gao, F., “Stage-based Online Quality Control of Batch Processes”, Ind. Eng. Chem. Res., 45, 2272–2280 (2006)10.1021/ie050887dSuche in Google Scholar
Lu, N., et al., “PCA-Based Modeling and On-Line Monitoring Strategy for Uneven-Length Batch Processes”, Ind. Eng. Chem. Res., 43, 3343–3352 (2004)10.1021/ie030736fSuche in Google Scholar
MacGregor, J. F., Kourti, T., “Statistical Process Control of Multivariate Processes”, Control Engineering Practice, 3, 403–414 (1995)10.1016/0967-0661(95)00014-LSuche in Google Scholar
Mallows, C. L., “Some Comments on C_P”, Technometrics, 42, 87–94 (2000)Suche in Google Scholar
Miletic, I., et al., “An Industrial Perspective on Implementing On-line Applications of Multivariate Statistics”, J. Process Control, 14, 821–836 (2004)10.1016/j.jprocont.2004.02.001Suche in Google Scholar
Moyal, J. E., “Stochastic Processes and Statistical Physics”, Journal of the Royal Statistical Society. Series B (Methodological), 11, 150–210 (1949)10.1111/j.2517-6161.1949.tb00030.xSuche in Google Scholar
Ramaker, H. J., et al., “Improved Monitoring of Batch Processes by Incorporating External Information”, J. Process Control12, 569–576 (2002)10.1016/S0959-1524(01)00022-1Suche in Google Scholar
Runger, G. C., et al., “Improving the Performance of the Multivariate Exponentially Weighted Moving Average Control Chart”, Quality and Reliability Engineering International, 15, 161–166 (1999)10.1002/(SICI)1099-1638(199905/06)15:3<161::AID-QRE215>3.0.CO;2-VSuche in Google Scholar
Samad, T., et al., “System Architecture for Process Automation: Review and Trends”, J. Process Control17, 191–201 (2007)10.1016/j.jprocont.2006.10.010Suche in Google Scholar
Shewhart, W. A., Statistical Method from the Viewpoint of Quality Control, Dover Publications, New York (1986)Suche in Google Scholar
Tanner, R. I., Engineering Rheology, Oxford University Press, Oxford, New York (2000)Suche in Google Scholar
Visser, E., Srinivasan, B., “A Feedback-based Implementation Scheme for Batch Process Optimization”, J. Process Control, 10, 399–410 (2005)10.1016/S0959-1524(00)00015-9Suche in Google Scholar
Wold, S., Josefson, M., “Multivariate Calibration of Analytical Data”, in Encyclopedia of Analytical Chemistry, Meyers, R. A. (Ed.), John Wiley & Sons, Chichester, p. 9710–9736 (2000)10.1002/9780470027318.a5205Suche in Google Scholar
Wold, S., Sundin, K. L. O., U. S. Patent 5 949 678 (1999)Suche in Google Scholar
Woodall, W. H., Adams, B. M., “The Statistical Design of CUSUM Charts”, Quality Engineering, 5, 559–570 (1993)10.1080/08982119308918998Suche in Google Scholar
Wu, Z., “An Enhanced X Chart for Detecting Mean Shift”, Quality Engineering7, 345–356 (1994)10.1080/08982119408918788Suche in Google Scholar
Yang, Y., Gao, F., “Injection Molding Product Weight On-line Prediction and Control Based on a Nonlinear Principal Component Regression Model”, Polym. Eng. Sci., 46, 540–548 (2006)10.1002/pen.20522Suche in Google Scholar
Yoon, S., MacGregor, J. F., “Fault Diagnosis with Multivariate Statistical Models Part I: Using Steady State Fault Signatures”, J. Process Control, 11, 387–400 (2001)10.1016/S0959-1524(00)00008-1Suche in Google Scholar
Zhang, Y., et al., “Real-time Optimization under Parametric Uncertainty: A Probability Constrained Approach”, J. Process Control, 12, 373–389 (2002)10.1016/S0959-1524(01)00047-6Suche in Google Scholar
Zhao, C., et al., “Stage-based Soft-transition Multiple PCA Modeling and On-line Monitoring Strategy for Batch Processes”, J. Process Control, 17, 728–741 (2007)10.1016/j.jprocont.2007.02.005Suche in Google Scholar
Zheng, Y., et al., “Stability and Performance Analysis of Mixed Product Run-to-run Control”, J. Process Control, 16, 431–443 (2006)10.1016/j.jprocont.2005.09.005Suche in Google Scholar
Zhu, L., Kazmer, D. O., “An Extensive Simplex Method Mapping the Global Feasibility”, J. Engineering Optimization, 35, 165–176 (2003)10.1080/0305215032000077050Suche in Google Scholar
© 2008, Carl Hanser Verlag, Munich
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- Robert Simha, 04.08.1912–05.06.2008
- Invited Paper
- Crystallization of PLA/Thermoplastic Starch Blends
- Regular Contributed Articles
- Study on Warpage Behavior and Filler Orientation during Injection Molding
- Investigation of the Effects of Formulation and Processing Parameters on Properties of PA 6 Nanocomposites using Taguchi Method of Experimental Design
- A Two-level Decomposition Method for Cooling System Optimization in Injection Molding
- A Comparison of Statistical Process Control (SPC) and On-Line Multivariate Analyses (MVA) for Injection Molding
- PPS News
- PPS News
- Seikei-Kakou Abstracts
- Seikei-Kakou Abstracts
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- Robert Simha, 04.08.1912–05.06.2008
- Invited Paper
- Crystallization of PLA/Thermoplastic Starch Blends
- Regular Contributed Articles
- Study on Warpage Behavior and Filler Orientation during Injection Molding
- Investigation of the Effects of Formulation and Processing Parameters on Properties of PA 6 Nanocomposites using Taguchi Method of Experimental Design
- A Two-level Decomposition Method for Cooling System Optimization in Injection Molding
- A Comparison of Statistical Process Control (SPC) and On-Line Multivariate Analyses (MVA) for Injection Molding
- PPS News
- PPS News
- Seikei-Kakou Abstracts
- Seikei-Kakou Abstracts