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Title: A control chart for the Gamma distribution as a model of time between events
Authors: Zhang, C.W.
Xie, M. 
Liu, J.Y.
Goh, T.N. 
Keywords: Control chart
Exponential distribution
Gamma distribution
Random-shift model
Time between events
Issue Date: Dec-2007
Citation: Zhang, C.W., Xie, M., Liu, J.Y., Goh, T.N. (2007-12). A control chart for the Gamma distribution as a model of time between events. International Journal of Production Research 45 (23) : 5649-5666. ScholarBank@NUS Repository.
Abstract: In this paper, control charts for monitoring exponentially distributed time between events (TBE) are studied. In particular, a Gamma chart which monitors the time until the rth event is proposed and investigated. A new method based on a random-shift model for calculating the out-of-control average time to signal (ATS) of the Gamma chart is developed. It is shown to be much more accurate than the conventional method based on a fixed-shift model through comparing with Monte Carlo simulation. A comparison is also made among the exponential, the Gamma and the exponential CUSUM charts, which shows that the Gamma chart is more sensitive than the exponential chart and the performance of a Gamma chart with r = 4 is comparable with that of an exponential CUSUM optimally designed. However, the advantage of the Gamma chart is the ease involved in the design, evaluation and implementation. The use of the Gamma chart is illustrated with two real and one simulated examples.
Source Title: International Journal of Production Research
ISSN: 00207543
DOI: 10.1080/00207540701325082
Appears in Collections:Staff Publications

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