The Effect of Measurement Errors on the Performance of Variable Sample Size and Sampling Interval X̄ Control Chart

The effect of measurement errors on adaptive and non-adaptive control charts has been occasionally considered by researchers throughout the years. However, that effect on the variable sample size and sampling interval (VSSI) X̄ control charts has not so far been investigated. In this paper, we evaluate the effect of measurement errors on the VSSI X̄ control charts. After a model development, the effect of measurement errors and multiple measurements on the performance of VSSI scheme are evaluated in terms of the out-of-control average time to signal (ATS) criterion, which is obtained using a Markov Chain approach. At last, a real case is presented to show the application of the proposed scheme.