The Effect of Measurement Errors on the Performance of Variable Sample Size and Sampling Interval X 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 andsampling interval (VSSI) X control charts has not so far been investigated. In this paper, we evaluate the effect of measurement errors on the VSSI X 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 MarkovChain approach. At last, a real case is presented to show the application of the proposed scheme

Keywords:

Variable Sample Size and Sampling Interval , X Control Charts , Adaptive Control Charts , Linearly Covariate Error Model , Average Time to Signal , Markov Chain Approach