Economic-statistical design of EWMA-3 control chart for monitoring simple linear profiles

摘要

In this paper, the EWMA-3 control chart for monitoring simple linear profile is economic-statistically designed. Average run length criterion of the EWMA-3 control chart is computed by using a Markov chain approach. In the proposed model, the Lorenzen and Vance cost function is applied and the parameters of non-conforming production cost are computed based on the Taguchi cost function. The proposed model is solved by a genetic algorithm. Finally, a sensitivity analysis is done on the parameters of the proposed model.