An Integrated Model of Maintenance Policies and Economic Design of X-bar Control Chart Under Burr XII Shock Model

Abstract

The combination of different methods of maintenance and economic design of control charts has received much attention from researchers in recent years. These maintenance policies increase the reliability of a system. So far, only a small number of failure distributions, with fixed or increasing hazard rates, have been used as a shock model in the integrated model of maintenance and economic design of X-bar control chart. A proper alternative for this situation may be the Burr distribution, in which the hazard rate has general form. In this paper, for the economic design of the X-bar control chart under the Burr XII shock model, we have presented an integrated model using preventive maintenance and incomplete maintenance. The obtained integrated model has been implemented using a numerical example and its sensitivity analysis has been performed. The results show that, the use of higher maintenance levels causes further reduction of the average cost per unit time of the quality cycle. The results of sensitivity analysis also show that our proposed model is not sensitive to the misspecification of the Burr XII distribution parameters.