Souza, F. M.Souza, A.M.Zanini, R.R.REICHERT, B.LIMA JUNIOR, A. V.Souza, F. M.2024-01-102024-01-1020152248-9622http://hdl.handle.net/10400.26/48791The main purpose of this paper is to verify the stability of a productive process in the presence of the effects of autocorrelation and volatility, in order to capture these characteristics by a joint forecast model which produces residuals that are evaluated by a control chart based on variable control limits. The methodology employed will be the joint estimation of the residuals by ARIMA – ARCH models and the conditional standard deviation from residuals to establish the chart control limits. The joint AR (1)-ARCH (1) model shows that an appropriate forecasting model brings a great contribution to the performance of residual control charts in monitoring the stability of industrial variables using just one chart to monitor mean and variance together.engjournal article2024-01-09cv-prod-3033475