Title: A regression control chart for autocorrelated processes
Authors: Aslan Deniz Karaoglan; Gunhan Mirac Bayhan
Department of Industrial Engineering, Balikesir University, Cagis Campus, 10145 Balikesir, Turkey
Department of Industrial Engineering, Dokuz Eylul University, Tinaztepe Campus, 35160 Izmir, Turkey
Abstract: In this study, we present a new regression control chart which is able to detect the mean shift in a production process. This chart is designed for autocorrelated process observations having a linearly increasing trend. Existing approaches may individually cope with autocorrelated and trending data. The proposed chart requires the identification of trend stationary first order autoregressive (trend AR(1)) model as a suitable time series model for process observations. For a wide range of possible shifts and autocorrelation coefficients, performance of the proposed chart is evaluated by simulation experiments. Average correct signal rate and average run length are used as performance criteria.
Keywords: quality control; statistical process control; SPC; autocorrelation; linear trend; trend AR(1); regression control charts; mean shift; simulation.
Int. J. of Industrial and Systems Engineering, 2014 Vol.16, No.2, pp.238 - 256
Available online: 21 Jan 2014