An economic-statistical design of double sampling X¯ control chart

The double sampling (DS) X¯ chart can reduce the sample size when monitoring the process mean. In this study, Duncan's cost model was modified by adding the statistical constraints to develop the design model of DS X¯ chart for the optimization of design parameters-sample size, control limit coefficient, warning limit coefficient and sampling interval. A numerical example was provided to illustrate the use of this model. A sensitivity analysis of the effects of model parameters and statistical constraints on the optimal design of DS X¯ chart was also performed.