Generalizing of the integration of noncyclical preventive maintenance scheduling and production planning for a series-parallel production line

In this paper, we propose to generalize the model of the integration of noncyclical preventive maintenance scheduling and production planning from a single machine to a series-parallel production line. As in the case of a single machine, we consider, a set of products that must be produced in lots during a given horizon. As maintenance strategy, we consider the possibility of preventive remplacements at the beginning of each period (maintenance period), and minimal repair at machine failure. The model addressed determines the optimal production plan and preventive remplacement for each component of the series-parallel production line. The objective is to minimize the total cost consisting of preventive and corrective maintenance costs, setup costs, holding costs, backorder and production costs, while meeting the demand of each product over the entire horizon.