Synthetic charts to control bivariate processes with autocorrelated data. (July 2016)

• Record Type: Journal Article
• Authors: Simões, Felipe Domingues; Leoni, Roberto Campos; Machado, Marcela Aparecida Guerreiro; Costa, Antonio Fernando Branco
• Is Part Of: Computers & industrial engineering. Volume 97(2016)
• Page Start: 15
• Page End: 25
• Publication Date: 2016-07
• Subjects: X‾ charts -- Steady state -- Synthetic -- Side-sensitive -- Bivariate process; Engineering -- Data processing -- Periodicals; Industrial engineering -- Periodicals; 620.00285
• DOI: 10.1016/j.cie.2016.04.005
• Languages: English
• ISSNs: 0360-8352

Abstract

Highlights: We consider the monitoring of bivariate processes with autocorrelated data. The use of two side-sensitive X ‾ charts compete well with the synthetic T 2 chart. The Markov chain approach was used to obtain the steady-state properties. The synthetic rules always improve the performance of the control charts. Abstract: 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 T 2 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.