Generally weighted moving average control charts with fast initial response features

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21 citations0/0 files storedJournal of Applied Statistics

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

Abstract

The generally weighted moving average (GWMA) control chart is an extension model of exponentially weighted moving average (EWMA) control chart. Recently, some approaches have been proposed to modify EWMA charts with fast initial response (FIR) features. We introduce these approaches in GWMA-type charts. Via simulation, various control schemes are designed and then their average run lengths are computed and compared. Based on the overall performance, it is showed that the DGWMA chart is the best choice especially when the shift is moderate, and the GWMA charts provided with additional FIR feature have a good performance only in detecting large shifts during the initial stage.

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References

1990Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements 1959Control Chart Tests Based on Geometric Moving Averages 2000Control Chart Tests Based on Geometric Moving Averages 1986The Exponentially Weighted Moving Average 1989Design of Exponentially Weighted Moving Average Schemes 1999EWMA Control Charts with Time-Varying Control Limits and Fast Initial Response 1992Development and Evaluation of Control Charts Using Double Exponentially Weighted Moving Averages 2003The Generally Weighted Moving Average Control Chart for Detecting Small Shifts in the Process Mean

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2021New CUSUM and Shewhart‐CUSUM charts for monitoring the process mean 2017Novel design of composite generally weighted moving average and cumulative sum charts 2014Exponentially Weighted Moving Average (EWMA) Prediction in the Software Development Process 2019A generally weighted moving average control chart for zero‐inflated Poisson processes 2015Monitoring process mean using generally weighted moving average chart for exponentially distributed characteristics

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