2015
DOI: 10.1002/qre.1789
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Monitoring of Time‐Between‐Events with a Generalized Group Runs Control Chart

Abstract: Control charting methods for time between events (TBE) is important in both manufacturing and nonmanufacturing fields. With the aim to enhance the speed for detecting shifts in the mean TBE, this paper proposes a generalized group runs TBE chart to monitor the mean TBE of a homogenous Poisson failure process. The proposed chart combines a TBE subchart and a generalized group conforming run length subchart. The zero‐state and steady‐state performances of the proposed chart were evaluated by applying a Markov ch… Show more

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Cited by 19 publications
(9 citation statements)
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“…Shafae et al studied the performance of CUSUM control charts to monitor decreases in the TBE mean for Weibull distributed TBE observations. Fang et al proposed a generalized group runs TBE control chart to monitor the mean TBE of a homogenous Poisson failure process. Yang et al investigated Gamma charts for monitoring the time until the r th event for both the phases I and II.…”
Section: Introductionmentioning
confidence: 99%
“…Shafae et al studied the performance of CUSUM control charts to monitor decreases in the TBE mean for Weibull distributed TBE observations. Fang et al proposed a generalized group runs TBE control chart to monitor the mean TBE of a homogenous Poisson failure process. Yang et al investigated Gamma charts for monitoring the time until the r th event for both the phases I and II.…”
Section: Introductionmentioning
confidence: 99%
“…However, Exponential EWMA and Exponential CUMSUM charts outperform CQC-and CQC r -charts in case of small and moderate process shifts, and/or when these shifts can be accurately predicted [3,4,6].…”
Section: Reliability Monitoringmentioning
confidence: 99%
“…Their proposal outperforms in detection of small‐to‐moderate shifts. Recently, Fang et al extended the work of Fang et al and proposed a generalized group run TBE chart named G G R g − T r (where r denotes the time until the r ‐th event occurrence and g denotes the index of the CRL group), to monitor the mean TBE of a homogenous Poisson process. With the help of a numerical study, they showed that the choices of r = 1 or r = 2 are good for the detection of a large‐sized shift, while r = 3 or r = 4 is appropriate for small‐to‐moderate shifts.…”
Section: Time‐between‐events Control Chartsmentioning
confidence: 99%