An enhanced double homogeneously weighted moving average control chart to monitor process location with application in automobile field

The memory control charts, including cumulative sum (CUSUM) and exponentially weighted moving average (EWMA) control charts, are widely used to monitor small-to-moderate shifts in the process location and/or dispersion. The homogenously weighted moving average (HWMA) control chart is the advanced form of the EWMA control chart to monitor process location shifts. Besides, the auxiliary information-based memory control charts efficiently monitor process location shifts. The objective of this study is to propose an auxiliary information based double HWMA, symbolized as DHWMAAIB control chart to further enhance the monitoring of process location shifts. The DHWMAAIB control chart is modeled by mixing the auxiliary information-based HWMA plotting statistic features into the other HWMA control chart. For numerical results, Monte Carlo simulations are used as a computational technique. Famous performance measures including average run length (ARL), extra quadratic loss, relative ARL, and performance comparison index are used to compare the performance of proposed DHWMAAIB control chart against other control charts including classical CUSUM and EWMA, mixed EWMA-CUSUM, auxiliary information based EWMA (EWMAAIB), HWMA, auxiliary information based HWMA (HWMAAIB), and double HWMA control charts. The comparisons revealed that the proposed control chart outperformed other control charts, especially for small-to-moderate process location shifts. An automobile braking system application is also provided for users and practitioners to demonstrate the importance of the proposed study from a practical perspective.