New EWMA control charts for monitoring process dispersion using auxiliary information

摘要

The exponentially weighted moving average (EWMA) control chart is a well-known statistical process monitoring tool because of its exceptional pace in catching infrequent variations in the process parameter(s). In this paper, we propose new EWMA charts using the auxiliary information for efficiently monitoring the process dispersion, named the auxiliary-information-based (AIB) EWMA (AIB-EWMA) charts. These AIB-EWMA charts are based on the regression estimators that require information on the quality characteristic under study as well as on any related auxiliary characteristic. Extensive Monte Carlo simulation are used to compute and study the run length profiles of the AIB-EWMA charts. The proposed charts are comprehensively compared with a recent powerful EWMA chart-which has been shown to be better than the existing EWMA charts-and an existing AIB-Shewhart chart. It turns out that the proposed charts perform uniformly better than the existing charts. An illustrative example is also given to explain the implementation and working of the AIB-EWMA charts.