Synthetic charts to control bivariate processes with autocorrelated data

Abstract

In this study, we propose the use of simultaneous Xcharts to control bivariate processes with autocorrelated data. The first set of Xcharts is side-sensitive with regard to the same variable (SV Xcharts) and the second one is side-sensitive with regard to both variables (BV Xcharts). The Markov chain approach was used to obtain the steady-state properties of the Xcharts. In comparison with the standard synthetic T2 chart, the SV and the BV charts signal faster in a wide variety of disturbances, except when the variables are high correlated. The BV charts are simpler and signal faster than the SV charts.