An integrated quality, maintenance and production model based on the delayed monitoring under the ARMA control chart

Abstract

Few studies have investigated the integration of triple components including statistical process monitoring (SPM), maintenance policy (MP), and economic production quantity (EPQ). Of those, no research is found to monitor autocorrelated data. Moreover, although delayed monitoring (DM) policy was proposed for an integrated model of SPM and MP, it has not been extended by considering EPQ. We propose an integrated model of triple components subject to some constraints, in which the following features are considered: (1) DM policy that postpones the monitoring action until a determinable time to avoid the possible unnecessary costs, and (2) autocorrelation that, if ignored, can lead to a significant influence on the statistical performance of traditional control charts. ARMA control chart is used to monitor the autocorrelated data. Due to the complexity of the model, a particle swarm optimization algorithm is applied to obtain optimal solution(s). An industrial example, some comparisons and sensitivity analysis are provided for more investigations.