Variable sampling interval Shewhart control charts for monitoring the multivariate coefficient of variation

Abstract : In many industrial manufacturing processes, the ratio of the variance to the mean of a quantity of interest is an important characteristic to ensure the quality of the processes. This ratio is called the coefficient of variation (CV). A lot of control charts have been designed for monitoring the CV of univariate quantity in the literature. However, the CV control charts for multivariate quantity have not received much attention yet. In this paper, we investigate a variable sampling interval (VSI) Shewhart control chart for monitoring multivariate CV. The time between two consecutive samples is allowed to vary according to the previous value of the multivariate CV, which will help the chart to detect the process shifts faster. The comparison with the fixed sampling interval Shewhart chart is implemented to highlight the advantage of the VSI method. Finally, an illustrative example is demonstrated on real data.
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https://hal.archives-ouvertes.fr/hal-02262195
Contributor : Quoc Thong Nguyen <>
Submitted on : Friday, August 2, 2019 - 10:02:00 AM
Last modification on : Saturday, August 3, 2019 - 1:40:48 AM

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Quoc Thong Nguyen, Kim Phuc Tran, Henri Heuchenne, Thi Hien Nguyen, Huu Du Nguyen. Variable sampling interval Shewhart control charts for monitoring the multivariate coefficient of variation. Applied Stochastic Models in Business and Industry, Wiley, 2019, ⟨10.1002/asmb.2472⟩. ⟨hal-02262195⟩

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