Performance of the Auxiliary Information Based Hybrid EWMA Chart with Fast Initial Response

An integration of the fast initial response (FIR) feature into a control chart helps in increasing the shift detection speed for the process with start-up quality problem or inefficient corrective measures toward an occurrence of off-target process. Due to the salient feature of the FIR feature, this study investigates the performance of the FIR auxiliary information based hybrid EWMA (denoted as the AIB-HEW-FIR) chart by using the regression estimator. To evaluate the efficiency of the AIB-HEW-FIR chart in triggering off-target process, the performance indicators of the Average Run Length (ARL) and Expected ARL (EARL) are used, and the values of the ARL and EARL are computed by using the Monte Carlo simulation. The proposed chart is then evaluated and compared with the auxiliary information based hybrid EWMA (AIB-HEW) chart without the FIR feature. Results show that the AIB-HEW-FIR chart is superior to the AIB-HEW chart in detecting infrequent changes in the process mean.