A progressive mean control chart for monitoring time between events

Abstract

Abstract Control charts based on time between events (TBE) are widely used in high‐quality manufacturing processes where the events occur rarely. For monitoring such data, a new two‐sided TBE control chart called progressive mean control chart (regarded as PM‐TBE chart) is proposed in the present study. Through a simulation study and using the average run‐length (ARL) measure, it is shown that the proposed chart outperforms the tr, ARL‐unbiased gamma, GWMA‐TBE, and DEWMA‐TBE charts in detecting very small to moderate downward shifts, as well as in some cases small upward shifts. Moreover, the PM‐TBE chart is very robust for moderate to large shifts when the true distribution of the TBE observations is a Weibull or a lognormal. Finally, examples are given to display the application of the proposed chart.

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