The Performance Assessment and Optimal Design of EWMA Charts Based on Average Product Length
ARL (Average Run Length) is used as a tool to measure the performance of control chart. But it isn’t very accurate. In this paper, a Markov chain method is proposed to calculate the APL (Average Product Length) of EWMA chart, and APL is used as a criterion of performance assessment to decide optimal design of this chart. By comparing with traditional EWMA design method, we can find that this method can detect little shifts in processes more quickly.
W. H. Yu "The Performance Assessment and Optimal Design of EWMA Charts Based on Average Product Length", Advanced Materials Research, Vols. 383-390, pp. 2573-2577, 2012