ON DETERMINING THE OPTIMAL SAMPLING FREQUENCY FOR FEEDBACK QUALITY CONTROL SYSTEMS
Abstract
This paper considers the choice of the most profitable sampling frequency for a feedback quality control system. It is assumed that the disturbance can be adequately modeled by a first-order Integrated Moving Average (IMA (0, 1, 1)) process. The cost model includes two terms, one for the cost of being off-target and one for the cost of sampling and adjustment. An analytical solution is obtained and the sensitivity of parameters examined.
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References
Bessegato, L., Quinino, R. Ho L.L. Duczmal, L., “Variable Interval Sampling in Economical
Designs for Online Process Control of Attributes with Misclassification Errors”, Journal of
Operational Research Society, 62, 1365-1375 (2011).
Box, G.E.P. and Jenkins, G. M., “Time Series Analysis, Forecasting and Control,” Holden Day, San Francisco (1976).
Box, G. E. P. and Kramer, T., “Statistical Process Monitoring and Feedback Adjustment
- A Decision”, Technometrics, 34, 251- 267 (1992).
Dasgupta, T. and Mandal A., “Estimation of Process Parameters to Determine the Optimum Diagnosis Interval for Control of Defective Items”, Technometrics, 50, 2, 167-181 (2008).
Duncan, A. J., (1956), “The Economic Design of x- Charts Used to Maintain Current Control
of a Process”, Journal of American Statistical Association, 51, 228-242 (1956).
Hunter, W. G. and Kartha, C. P., “Determining the Most Profitable Target Value for Production Process.” Journal of Quality Technology, 9, No. 4, 176-181 (1977).
Hunter, W. G. and Kartha, C. P., “On Sampling From an IMA (0,1,1) Process”, American Journal of Mathematical and Management Sciences, 3, No. 1,35-46 (1984).
MacGregor, J.F., “Optimal choice of the Sampling Interval for Discrete Process Control,” Technometrics, 18, 4, 151-160 (1976).
MacGregor, J. F., “Interfaces Between Process Control and Online Statistical Process Control”, American Institute of Chemical Engineers CAST Newsletter, 9-19 (1987).
MacGregor, J. F. and T.J. Harris, “A Different View of the Funnel Experiment”, Journal of Quality
Technology, 22, 255-259 (1990).
Montgomery, D.C., Keats, J.B., Runger, G. C., and Messina, W. S., “Integrating Statistical Process
Control and Engineering Process Control”, Journal of Quality Technology, 26, No. 2, 79- 87
(1994).
Vander Wiel, S. A., “Monitoring Processes That Wander Using Integrated Moving Average
Models”, Technometrics, 38, 2, 139-151(1996).