Efficient Control Charting Scheme for the Process Location with Application in Automobile Industry

The recently introduced triple exponentially weighted moving average (TEWMA) chart is the extended form of the classical EWMA and double EWMA (DEWMA) charts. On the other hand, the auxiliary information-based (AIB) homogeneously weighted moving average (HWMAAIB) chart is used for the monitoring of process location shifts efficiently as compared to the HWMA chart. Combining TEWMA with HWMA features is a new idea and is not seen in the literature until now. So, the objective of this study is to combine the idea of HWMAAIB and TEWMA charts and propose an AIB triple HWMA, symbolized as THWMAAIB chart to further improve the process location shift monitoring. The proposed THWMAAIB chart is developed by combining the AIB double HWMA plotting statistic into the other HWMA chart. The numerical results are computed using the Monte Carlo simulation method. Average run length (ARL), relative ARL, performance comparison index, and extra quadratic loss are used as comparison tools for the proposed THWMAAIB chart with the classical EWMA, TEWMA, mixed HWMA-CUSUM (MHC), AIB EWMA (EWMAAIB), HWMA, double HWMA (DHWMA), HWMAAIB, AIB mixed EWMA-CUSUM (MECAIB), and AIB mixed CUSUM-EWMA (MCEAIB) charts. Finally, a practical application is also provided for users to demonstrate the proposed study’s vitality.