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Some Group Runs Based Multivariate Control Charts for Monitoring the Process Mean Vector

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Document pages: 13 pages

Abstract: In this article, we propose two controlcharts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “MultivariateModified Group Runs’ (MV-MGR-M)” control charts, based on the multivariatenormal processes, for monitoring the process mean vector. Methods to obtain thedesign parameters and operations of these control charts are discussed.Performances of the proposed charts are compared with some existing controlcharts. It is verified that, the proposed charts give a significant reductionin the out-of-control “Average Time to Signal” (ATS) in the zero state, as wellin the steady state compared to the Hotelling’s T2 and the synthetic T2 controlcharts.

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