A synthetic revised m-of-k runs rules control chart

Abstract

Control charts are commonly used for quality improvement in a manufacturing process. In this paper, we proposed a newer control chart, namely the synthetic revised m-of-k (R - m/k) runs rules chart to monitor the shift in the mean of a process. The newly proposed chart is obtained by integrating the R - m/k runs rules sub-chart and the conforming run length (CRL) sub-chart. The efficiency of a chart can be studied via the average run length (ARL) criterion. The out-of-control ARL result of the proposed chart is compared with its original counterparts, namely the synthetic and R - m/k runs rules charts, as well as the EWMA chart. The performance comparison indicates that the proposed synthetic R - m/k runs rules chart surpasses all the charts under comparison for detecting most sizes of the mean shifts. Therefore, the proposed synthetic R - m/k runs rules chart is a viable substitute for the standard synthetic and R - m/k runs rules charts.