Joint monitoring of mean and variance using Max-EWMA for Weibull process

Abstract

Simultaneously monitoring of process mean and dispersion for the normal process has gained considerable attention. In this manuscript, we have proposed a maximum exponentially weighted moving average (Max-EWMA) control chart for joint monitoring of mean and dispersion using the inverse response function when the process follows Weibull distribution. The average run length (ARL) and the standard deviation of run length (SDRL) are used as the evaluation tools. The proposed control chart is compared with the available Max-EWMA control chart. We conclude that the proposed control chart is more sensitive than the considered control chart. The application of the proposed control chart is presented with the aid of two examples.

Keywords:

• Average run length
• Control chart
• Inverse response function
• Max-EWMA
• Weibull process

Acknowledgments

The authors are grateful to the reviewers for their suggestions which helped in improving substantially, the earlier version of this article.