A stochastic and integrated model of maintenance scheduling, production control and 𝑿̅−S۲ control chart design in deteriorating manufacturing systems

In this paper, a mathematical model is presented to integrate the decisions of maintenance scheduling, quality control and production control in deteriorating production systems. The simultaneous consideration of these three aspects improves the efficiency of the production. In this study, the probability of the state transition follows a general distribution. 𝑋̅−𝑆۲ control chart is applied to monitor the mean and the variance of the process. Preventive maintenance and corrective maintenance as perfect maintenance actions and minimal maintenance as imperfect maintenance action are applied to maintain the process in a proper condition. The objective of the integrated model is to plan the maintenance actions, determine the optimal values of the control chart parameters and optimize the production level to minimize the expected total cost of the process per time unit. To evaluate the performance of this model, a numerical study is solved and a sensitivity analysis is performed on some important parameters of the model.

Keywords:

deteriorating production system , Preventive maintenance , production control , quality control