Monitoring of Time‐Between‐Events with a Generalized Group Runs Control Chart |
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| Authors: | Yen Yen Fang Michael B C Khoo Sin Yin Teh Min Xie |
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| Affiliation: | 1. School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia;2. School of Management, Universiti Sains Malaysia, Penang, Malaysia;3. Department of Systems Engineering and Engineering Management, City University of Hong Kong, Kowloon Tong, Hong Kong |
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| 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 chain method. Overall, it is found that the proposed chart outperforms the existing TBE charts, such as the T, Tr, EWMA‐T, Synth‐Tr, and GR‐Tr charts. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | conforming run length Markov processes quality control synthetic chart time‐between‐events chart |
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