Group runs revised m-of-k runs rule control chart

Zhi Lin Chong, Michael B. C. Khoo, Ming Ha Lee and Chung-Ho Chen

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 14, 6916-6935

Abstract: Runs rules are commonly used to increase the sensitivity of the Shewhart X‾$\bar{X}$ chart, for detecting small and moderate mean shifts. This paper presents a group runs (GR) revised m-of-k (R − m/k) runs rule chart for the mean. The proposed GR R − m/k runs rule chart has superior zero-state and steady-state performances to the basic GR, synthetic and R − m/k runs rule charts, for detecting small and moderate shifts, while maintaining the same efficiency toward large shifts. For zero-state case, the proposed chart can be designed to outperform the exponentially weighted moving average (EWMA) chart, except for small shifts. However, the EWMA chart prevails for steady-state case.

Date: 2017
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DOI: 10.1080/03610926.2016.1140779

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