In this paper we consider a periodic preventive maintenance, repair, and production model of a flexible manufacturing system with failure-prone machines. The periodic preventive maintenance can be used to reduce the machine failure rates and improve the productivity of the system. The repair rate is adjustable to reduce the repair time. The control variables are repair rate and the production rate. The the objective is to choose a control process that minimize the total cost of inventory/shortage, production, repair, and maintenance. The value function is shown to be locally Lipschitz and to satisfy a Hamilton-Jacobi-Bellman equation. A sufficient condition for optimal control is obtained. Finally, an algorithm is given for solving the optimal control problem numerically and a numerical example is presented to show the usefulness of the theoretical results.
Paru en mars 1995 , 19 pages