The Generalized Synthetic Chart

Stephen M. Scariano · Maria E. Calzada

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Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

Abstract

The Generalized Synthetic chart is presented and mathematical expressions for its average run length and variance of the run length are developed. The methodology is applied to the EWMA and CUSUM charts and near-optimization procedures are discussed. The synthetic EWMA and CUSUM charts are compared with their standard counterparts, the original synthetic chart, and the Shewhart chart. Significant improvements in detecting power are reported.

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References

1959Control Chart Tests Based on Geometric Moving Averages 1987A Simple Method for Studying Run – Length Distributions of Exponentially Weighted Moving Average Charts 1991Detecting a Shift in Fraction Nonconforming Using Run-Length Control Charts with 100% Inspection 2000A Synthetic Control Chart for Detecting Small Shifts in the Process Mean 2002Evaluating and Improving the Synthetic Control Chart 2005A synthetic control chart for monitoring process dispersion with sample standard deviation 2004A synthetic control chart for monitoring process dispersion with sample range 2001THE ROBUSTNESS OF THE SYNTHETIC CONTROL CHART TO NON-NORMALITY

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2017A new double sampling control chart for monitoring process mean using auxiliary information 2014Synthetic double sampling np control chart for attributes 2013Synthetic-Type Control Charts for Time-Between-Events Monitoring 2011Economically Optimum Design of a Synthetic Chart 2018A new nonparametric synthetic EWMA control chart for monitoring process mean

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