Abstract
In this article, we propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-MGR-M)” control charts, based on the multivariate normal processes, for monitoring the process mean vector. Methods to obtain the design parameters and operations of these control charts are discussed. Performances of the proposed charts are compared with some existing control charts. It is verified that, the proposed charts give a significant reduction in the out-of-control “Average Time to Signal” (ATS) in the zero state, as well in the steady state compared to the Hotelling’s T2 and the synthetic T2 control charts.
Highlights
In many industrial processes, quality of the product may depend on two or more quality characteristics, which need to be controlled and monitored simultaneously
We propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-Modified Groups Runs” (MGR)-M)” control charts, based on the multivariate normal processes, for monitoring the process mean vector
The proposed charts give a significant reduction in the out-of-control “Average Time to Signal” (ATS) in the zero state, as well in the steady state compared to the Hotelling’s T2 and the synthetic T2 control charts
Summary
Quality of the product may depend on two or more quality characteristics (may be dependent), which need to be controlled and monitored simultaneously. [1] introduced the Hotelling’s T2 control chart which is used to monitor the multivariate process and its operation is based only on the most recent observation, it is insensitive to detect small and moderate shifts in the mean vector. The development of the Multivariate synthetic control chart for monitoring process Mean vector (MV-Syn-M) has been proposed by Ghute and Shirke [9]. This chart is developed as a combination of the Hotelling’s T2 chart and the CRL chart.
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