Performance of Max-EWMA control chart for joint monitoring of mean and variance with measurement error

Abstract

Measurement error has negative effects on the monitoring of mean and variance shifts during industrial production. It is important to consider the measurement error for the development of quality control techniques to monitor the process in the right direction. This article unfolds that how the measurement error is affecting the performance of control charts used for joint monitoring of the process mean and variance shifts under the scheme of Max-EMWA control charts. The covariate model has been used to study the effect of measurement error and multiple measurements have been tried to reduce this effect. The calculations of the $\mathit{ARLs}$ and $\mathit{SDRLs}$ are obtained by using Monte Carlo simulations to study the effects of measurement error on the Max-EWMA control chart. In addition to comparison with other charts, an illustrative example is also included comprising real life data to support the simulation results.

Keywords:

• Control charts
• Joint monitoring
• Max-EWMA control chart
• Measurement error