Maximum hybrid exponentially weighted moving average control chart in the presence of measurement error by using auxiliary information

Abstract

AbstractHybrid control charts have become part of statistical process control (SPC) but still, need more emphasis. Researchers are developing charts for joint monitoring of process mean and variance shifts just like Max‐EWMA and their hybrid version using auxiliary information but are ignoring the effect of measurement error on the efficiency of charts. We propose maximum hybrid exponentially weighted moving average with measurement error using auxiliary information and name it Max‐HEWMAMEAI control chart. The efficiency of this chart is proved through calculations of average run lengths () and standard deviations of run lengths (SDRLs) using the Monte Carlo simulations method whereas, and are shown in tabular form. The effect of measurement error on the efficiency of the chart has been analyzed and the impact of multiple measurements to reduce the error effect has been studied using the covariate model. Real‐life application is also part of this article to support the simulation results.