A Comparison of Statistical Process Control (SPC) and On-Line Multivariate Analyses (MVA) for Injection Molding

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.

[1]  Fuli Wang,et al.  Stage-based soft-transition multiple PCA modeling and on-line monitoring strategy for batch processes , 2007 .

[2]  C. L. Mallows Some comments on C_p , 1973 .

[3]  J. Fraser Forbes,et al.  Real-time optimization under parametric uncertainty: a probability constrained approach , 2002 .

[4]  Jose A. Romagnoli,et al.  A robust strategy for real-time process monitoring , 2001 .

[5]  J. B. Keats,et al.  Improving the performance of the multivariate exponentially weighted moving average control chart , 1999 .

[6]  Seongkyu Yoon,et al.  Fault diagnosis with multivariate statistical models part I: using steady state fault signatures , 2001 .

[7]  Furong Gao,et al.  Injection molding product weight: Online prediction and control based on a nonlinear principal component regression model , 2006 .

[8]  R. R. Hocking,et al.  Selection of the Best Subset in Regression Analysis , 1967 .

[9]  B. Srinivasan,et al.  Economic Performance Analysis in the Design of On-line Batch Optimization Systems , 1999 .

[10]  Michael J. Piovoso,et al.  Application of a neural network to improve an automated thermoplastic tow-placement process , 2002 .

[11]  Theodora Kourti,et al.  Statistical Process Control of Multivariate Processes , 1994 .

[12]  Michael S. Dudzic,et al.  An industrial perspective on implementing on-line applications of multivariate statistics , 2004 .

[13]  Tariq Samad,et al.  System architecture for process automation: Review and trends , 2007 .

[14]  Fuli Wang,et al.  PCA-Based Modeling and On-line Monitoring Strategy for Uneven-Length Batch Processes , 2004 .

[15]  D. Kazmer,et al.  An extensive simplex method for mapping global feasibility , 2003 .

[16]  Age K. Smilde,et al.  Improved monitoring of batch processes by incorporating external information , 2002 .

[17]  Junghui Chen,et al.  Dynamic process fault monitoring based on neural network and PCA , 2002 .

[18]  C. T. Seppala,et al.  A review of performance monitoring and assessment techniques for univariate and multivariate control systems , 1999 .

[19]  Y.-K. Chen,et al.  Economic design of an adaptive T2 control chart , 2007, J. Oper. Res. Soc..

[20]  Furong Gao,et al.  Stage-based online quality control for batch processes , 2006 .

[21]  Layth C. Alwan Cusum quality control-multivariate approach , 1986 .

[22]  Ying Zheng,et al.  Stability and performance analysis of mixed product run-torun control , 2006 .

[23]  Douglas C. Montgomery,et al.  A review of statistical process control techniques for short run manufacturing systems , 1996 .

[24]  Shi-Shang Jang,et al.  Stability and performance analysis of mixed product run-to-run control , 2006 .

[25]  ChangKyoo Yoo,et al.  Statistical process monitoring with independent component analysis , 2004 .

[26]  Svante Wold,et al.  Multivariate Calibration of Analytical Data , 2006 .

[27]  William H. Woodall,et al.  THE STATISTICAL DESIGN OF CUSUM CHARTS , 1993 .

[28]  Douglas C. Montgomery,et al.  A review of multivariate control charts , 1995 .

[29]  Zhang Wu,et al.  An Enhanced X Chart for Detecting Mean Shift , 1994 .

[30]  J. E. Moyal Stochastic Processes and Statistical Physics , 1949 .

[31]  Chunhui Zhao,et al.  Adaptive Monitoring Method for Batch Processes Based on Phase Dissimilarity Updating with Limited Modeling Data , 2007 .

[32]  R. F.,et al.  Statistical Method from the Viewpoint of Quality Control , 1940, Nature.

[33]  S. Palanki,et al.  A feedback-based implementation scheme for batch process optimization , 2000 .

[34]  J. S. Hunter,et al.  Statistics for experimenters : an introduction to design, data analysis, and model building , 1979 .

[35]  Hui Cheng,et al.  Fault Diagnosis of the Paper Machine Short Circulation Process using Novel Dynamic Causal Digraph Reasoning , 2008 .

[36]  Martha M. Gardner Implementing Six Sigma: Smarter Solutions Using Statistical Methods , 2000, Technometrics.