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Open AccessFeature PaperArticle

A Double Generally Weighted Moving Average Chart for Monitoring the COM-Poisson Processes

Department of Information Management, Shih Chien University Kaohsiung Campus, 200 University Road, Neimen District, Kaohsiung City 84550, Taiwan
Symmetry 2020, 12(6), 1014; https://doi.org/10.3390/sym12061014
Received: 4 June 2020 / Revised: 12 June 2020 / Accepted: 15 June 2020 / Published: 16 June 2020
Generalized exponentially weighted moving average (EWMA) and double EWMA (DEWMA) charts based on the Conway–Maxwell–Poisson (CMP or COM-Poisson) distribution, also known as the GEWMA and CMP-DEWMA charts, are effectively used for monitoring the counts of non-conformities in a process. To further enhance their performance, this study utilizes design and adjustment parameters to develop generally weighted moving average (GWMA) and double GWMA charts, also known as the CMP-GWMA and CMP-DGWMA charts, to monitor COM-Poisson attributes. Numerical simulations indicate that the CMP-DGWMA chart outperforms its prototype CMP-DEWMA and CMP-GWMA charts in detecting small location and dispersion shifts, as well as both shifts together, in terms of average run lengths. Finally, an example is provided to demonstrate the efficiency of the proposed CMP-DGWMA chart and its counterparts. View Full-Text
Keywords: attributes; average run lengths; COM-Poisson distribution; DEWMA chart; DGWMA chart attributes; average run lengths; COM-Poisson distribution; DEWMA chart; DGWMA chart
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Chen, J.-H. A Double Generally Weighted Moving Average Chart for Monitoring the COM-Poisson Processes. Symmetry 2020, 12, 1014.

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