OPTIMAL-CONTROL OF A PRODUCTION SYSTEM WITH PERIODIC MAINTENANCE

In this paper we consider a production system consisting of one machin e for which maintenance is performed on a periodic basis. When the mac hine is undergoing maintenance, the system is shut down and cannot pro duce. One part-type is produced and the demand rate is assumed to be c onstant. In order to make on-time delivery, the objective is to produc e following the demand as closely as possible. However, the maintenanc e disruptions make the production deviate from the demand. We formulat e the production flow control problem as an optimal control model and use Pontryagin's minimum principle to solve the special case of one up -down cycle. We then solve the general N-cycle problem based on the on e-cycle solution.