A Smoothed Bayes Control Procedure for the Control of a Variable Quality Characteristic with Linear Shift

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Abstract
A smoothed Bayes control procedure has been developed for controlling the output of a production process when the quality characteristic is continuous with a linear shift in its basic level. The procedure uses Bayesian estimation with exponential smoothing for updating the necessary parameter estimates. The application of the procedure to real-life data is illustrated with an example. Applications of the traditional x̄-chart and the cumulative sum control chart to the same data are also illustrated for comparison.