The current study proposes a mathematical model for joint planning of maintenance policies and inventory control in a deteriorating production system. In this regard, a safety stock is maintained to meet the demands during the conduction of maintenance actions and avoid shortages. The optimal planning of maintenance and inventory considerably improves the productivity of the manufacturing system. In a deteriorating production system, the process has two operational states, i.e., in-control and out-of-control states, as well as a non-operational state or failure mode. The time for the transition from one state to another follows a general continuous distribution. In addition, the time duration of maintenance actions is considered a random variable. The main objective of this study is to optimize the safety stock level and time to conduct maintenance actions in order to minimize the expected total cost per time unit. To verify the eciency of the proposed model, some numerical examples are solved using a genetic algorithm and the solutions are veri ed. Finally, sensitivity analyses are carried out on the critical parameters.
