The variable sampling interval X̄ chart with estimated parameters

The VSI X̄ equation image 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 t...

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Bibliographic Details
Main Authors: Zhang, Ying, Castagliola, Philippe, Wu, Zhang, Khoo, Michael B. C.
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/97988
http://hdl.handle.net/10220/12303
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Institution: Nanyang Technological University
Language: English
Description
Summary:The VSI X̄ equation image 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 X̄ equation image 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.