The Economic Design of Multivariate MSE Control Chart

Abstract: In this paper, the economic design of MSE control chart is extended to the multivariate case. The important feature of this control chart is that it uses the target value instead of the process mean. According to Taguchi's viewpoint, any deviation from the target value represents a kind of loss. Therefore, we construct the model of economic design by considering not only the control costs occurred in the production process but also the loss resulted to the customer because the quality characteristics shifted from the target value. The expected loss of multivariate squared error is presented and used in the formulated cost model. A True Basic program is used to find the optimum parameters of the sample size, the sample interval, and the width, ; n h , E of the control limits of the multivariate MSE chart. Finally, an example is used to illustrate the application of the proposed economic design of the multivariate MSE control chart.