Designing a multivariate–multistage quality control system using artificial neural networks

In most real-world manufacturing systems, the production of goods comprises several autocorrelated stages and the quality characteristics of the goods at each stage are correlated random variables. This paper addresses the problem of monitoring a multivariate–multistage manufacturing process and diagnoses the possible causes of out-of-control signals. To achieve this purpose using multivariate time series models, first a model for the autocorrelated data coming from multivariate–multistage processes is developed. Then, a single neural network is designed, trained and employed to control and classify mean shifts in quality characteristics of all stages. In-control and out-of-control average run lengths and correct classification ratio indices have been chosen to investigate the performance of the designed network. The results of a simulation study show that the network is capable of detecting both in-control and out-of-control signals appropriately.

[1]  T. W. Anderson The Statistical Analysis of Time Series: Anderson/The Statistical , 1994 .

[2]  Milton S. Boyd,et al.  Designing a neural network for forecasting financial and economic time series , 1996, Neurocomputing.

[3]  A. J. Morris,et al.  MULTIVARIATE STATISTICS AND NEURAL NETWORKS IN PROCESS FAULT DETECTION (QUALITATIVE AND QUANTITATIVE MODELLING METHODS FOR FAULT DIAGNOSIS) , 1995 .

[4]  Tai-Yue Wang,et al.  Mean shifts detection and classification in multivariate process: a neural-fuzzy approach , 2002, J. Intell. Manuf..

[5]  N F Hubele,et al.  X¯ CONTROL CHART PATTERN IDENTIFICATION THROUGH EFFICIENT OFF-LINE NEURAL NETWORK TRAINING , 1993 .

[6]  Ali Cinar,et al.  Statistical monitoring of multistage, multiphase batch processes , 2002 .

[7]  J. Westerhuis,et al.  Multivariate modelling of the pharmaceutical two‐step process of wet granulation and tableting with multiblock partial least squares , 1997 .

[8]  Fugee Tsung,et al.  Multistage process monitoring and diagnosis , 2000, Proceedings of the 2000 IEEE International Conference on Management of Innovation and Technology. ICMIT 2000. 'Management in the 21st Century' (Cat. No.00EX457).

[9]  Lianjie Shu,et al.  ON MULTISTAGE STATISTICAL PROCESS CONTROL , 2003 .

[10]  J. D. T. Tannock,et al.  A review of neural networks for statistical process control , 1998, J. Intell. Manuf..

[11]  Karlene A. Kosanovich,et al.  Improved Process Understanding Using Multiway Principal Component Analysis , 1996 .

[12]  Shing I. Chang,et al.  A neural fuzzy control chart for detecting and classifying process mean shifts , 1996 .

[13]  Kevin J. Dooley,et al.  Identification of change structure in statistical process control , 1992 .

[14]  D. Hawkins Multivariate quality control based on regression-adjusted variables , 1991 .

[15]  Kailash C. Kapur,et al.  Design of Multiple Cause-Selecting Charts for Multistage Processes with Model Uncertainty , 2004 .

[16]  T. Cipra Statistical Analysis of Time Series , 2010 .

[17]  McGraw-Hill, New York. , 2022 .

[18]  Shing I. Chang,et al.  A two-stage neural network approach for process variance change detection and classification , 1999 .

[19]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[20]  Tai-Yue Wang,et al.  Artificial neural networks to classify mean shifts from multivariate χ2 chart signals , 2004, Comput. Ind. Eng..

[21]  Shing I. Chang,et al.  An integrated neural network approach for simultaneous monitoring of process mean and variance shifts a comparative study , 1999 .

[22]  Seyed Taghi Akhavan Niaki,et al.  Fault Diagnosis in Multivariate Control Charts Using Artificial Neural Networks , 2005 .

[23]  Chuen-Sheng Cheng A multi-layer neural network model for detecting changes in the process mean , 1995 .

[24]  Connie M. Borror,et al.  Model‐based control chart for autoregressive and correlated data , 2002 .

[25]  Wilson D.J.H.,et al.  NEURAL NETWORKS AND MULTIVARIATE , 1997 .

[26]  A. Cinar,et al.  A hybrid supervisory knowledge-based system for monitoring penicillin fermentation , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[27]  Robert J. Schalkoff,et al.  Artificial neural networks , 1997 .

[28]  Barry M. Wise,et al.  A comparison of principal component analysis, multiway principal component analysis, trilinear decomposition and parallel factor analysis for fault detection in a semiconductor etch process , 1999 .

[29]  J.D.T. Tannock,et al.  Recognition of control chart concurrent patterns using a neural network approach , 1999 .

[30]  Abdesselam Bouzerdoum,et al.  A generalized feedforward neural network architecture for classification and regression , 2003, Neural Networks.

[31]  B. J. Mandel The Regression Control Chart , 1969 .

[32]  Kwok-Leung Tsui,et al.  Regression Control Charts , 2008 .

[33]  Douglas M. Hawkins,et al.  Regression Adjustment for Variables in Multivariate Quality Control , 1993 .

[34]  Barry L. Nelson,et al.  Modeling and generating multivariate time series with arbitrary marginals and autocorrelation structures , 2001, Proceeding of the 2001 Winter Simulation Conference (Cat. No.01CH37304).

[35]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[36]  Yi-Chih Hsieh,et al.  A neural network based model for abnormal pattern recognition of control charts , 1999 .

[37]  G. Allen Pugh A COMPARISON OF NEURAL NETWORKS TO SPC CHARTS , 1991 .