The variable sampling interval X̄ chart with estimated parameters |
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| Authors: | Ying Zhang Philippe Castagliola Zhang Wu Michael B. C. Khoo |
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| Affiliation: | 1. Ecole Centrale de Nantes and IRCCyN UMR CNRS 6597, Nantes, France;2. School of Logistics Engineering, Wuhan University of Technology, People's Republic of China;3. LUNAM Université, Université de Nantes and IRCCyN UMR CNRS 6597, Nantes, France;4. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore;5. School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia |
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| Abstract: | The VSI  chart has been investigated by many researchers under the assumption of known process parameters. However, in practice, these parameters are usually unknown and it is necessary to estimate them from the past data. In this paper, we evaluate and compare the performance of the VSI  chart in terms of its average time to signal in the case where the process parameters are known and in the case where these parameters are estimated. We also provide new chart constants taking into account the number of phase I samples. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | X̄ chart variable sampling interval estimated parameters time to signal |
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