Group runs revised m-of-k runs rule control chart. Issue 14 (18th July 2017)

• Record Type: Journal Article
• Authors: Chong, Zhi Lin; Khoo, Michael B. C.; Lee, Ming Ha; Chen, Chung-Ho
• Is Part Of: Communications in statistics. Volume 46:Issue 14(2017)
• Page Start: 6916
• Page End: 6935
• Publication Date: 2017-07-18
• Subjects: Average run length (ARL) -- conforming run length (CRL) -- group runs (GR) -- runs rules -- synthetic chart.; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2016.1140779
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Runs rules are commonly used to increase the sensitivity of the Shewhart 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.