Article ID Journal Published Year Pages File Type
1133186 Computers & Industrial Engineering 2016 11 Pages PDF
Abstract

•We consider the monitoring of bivariate processes with autocorrelated data.•The use of two side-sensitive X‾ charts compete well with the synthetic T2 chart.•The Markov chain approach was used to obtain the steady-state properties.•The synthetic rules always improve the performance of the control charts.

In this study, we propose the use of simultaneous X‾ charts to control bivariate processes with autocorrelated data. The first set of X‾ charts is side-sensitive with regard to the same variable (SV X‾ charts) and the second one is side-sensitive with regard to both variables (BV X‾ charts). The Markov chain approach was used to obtain the steady-state properties of the X‾ charts. 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.

Related Topics
Physical Sciences and Engineering Engineering Industrial and Manufacturing Engineering
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