Evaluation of the Run Rules median chart with estimated parameters

Standard deviation of average run length (SDARL) is recently used to study the performance of control charts with estimated parameters. In this paper, the performance of the Run Rules median chart with estimated parameters is analyzed based on the SDARL metric. It is shown that the Run Rules median chart requires a larger amount of Phase I data set to sufficiently reduce the variation in the in-control ARL values of the Run Rules median chart. Due to the limitation of the amount of the Phase I data set in practice, the adjusted control limit based on the bootstrap approach is suggested as a good alternative to the traditional control limit of the Run Rules median chart. Some conclusions and recommendations are made finally.