Evaluating the effect of measurement errors on the performance of the variable sampling intervals Hotelling's T~2 control charts

摘要

The effect of measurement errors on the performance of multivariate adaptive control charts has not been considered yet. In this article, we investigate the effect of measurement errors on the performance of the variable sampling intervals (VSI) Hotelling's T-2 control chart in the case of known parameters. A linearly covariate error model is used as the measurement error function. In order to measure the chart's performance, we use the average time to signal criterion, which is obtained by using a Markov Chain model. Through a numerical analysis, we evaluate the negative effect of measurement errors on the performance of the VSI Hotelling's T-2 control chart, and we also investigate the effect of multiple measurements as well as the value of linearly covariate error model's parameters on the main properties of the VSI Hotelling's T-2 control chart. At last, we present an illustrative example.