Article2002

Evaluating and Improving the Synthetic Control Chart

162 citations0/0 files storedJournal of Quality Technology

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

Abstract

Wu and Spedding (2000a) proposed the synthetic control chart, which is designed to detect shifts in the process mean. Our paper shows that the synthetic control chart can be represented as a runs rule chart with a head start feature. We present a Markov chain model of the synthetic control chart and use it to evaluate the zero-state and steady-state average run length (ARL) performance. We also alter the synthetic chart to achieve better ARL performance. We show, however, that synthetic control charts do not perform as well as cumulative sum and exponentially weighted moving average charts.

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References

1987Exact Results for Shewhart Control Charts With Supplementary Runs Rules 1982Fast Initial Response for CUSUM Quality-Control Schemes: Give Your CUSUM A Head Start 1992Exponentially weighted moving average control schemes with variable sampling intervals 1985The Statistical Design of Quality Control Charts 2000Two Alternatives to the ShewhartXControl Chart

Cited by

2007Statistical Process Control using Shewhart Control Charts with Supplementary Runs Rules 2005The Inertial Properties of Quality Control Charts 2011A synthetic control chart for the coefficient of variation 2011The synthetic [Xbar] chart with estimated parameters 2010A synthetic double sampling control chart for the process mean 2011A Review and perspective on surveillance of Bernoulli processes 2016A new synthetic control chart for monitoring process mean using auxiliary information 2012Optimal design of the synthetic chart for the process mean based on median run length

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