Developing mixed EWMA-CUSUM and CUSUM-EWMA control charts based on MRSS and DRSS procedures

Abstract. The mixed EWMA-CUSUM and CUSUM-EWMA control charts are among the control charts provided in recent years by combining two Exponentially Weighted Moving Average (EWMA) and Cumulative Sum (CUSUM) charts for effcient monitoring of the process mean. In this paper, these mixed control charts are extended using new median ranked set sampling and double ranked set sampling procedures. The performance of the proposed mixed control charts is evaluated through extensive Monte Carlo simulations in terms of average run length criterion. The results demonstrate that the proposed charts outperform similar ones in detecting different shifts in the process mean. Furthermore, a real dataset is also presented for explaining the implementation of the proposed control charts.