Performance of the Variable Parameters X Control Chart in Presence of Measurement Errors

In this article, we investigate the effect of measurement errors on the performance of the VP (Variable Parameters) X, ¯, , , , , control chart. After introducing the VP scheme for the X, ¯, , , , , chart with measurement errors, we evaluate the chart performance by using the average time to signal criterion, and we investigate the effect of measurement errors on the chart’s performance through extensive numerical studies. In addition, we investigate the effect of multiple measurements and the value of the linearly covariate error model’s parameters on the performance of VP X, ¯, , , , , control chart. We also consider the overall performance of the VP X, ¯, , , , , control chart and the optimal design parameters. Finally, the application of the proposed scheme is shown through an illustrative example.