Groupe d’études et de recherche en analyse des décisions


Optimal Control of Manufacturing Flow and Preventive Maintenance


In this paper, we address the optimal control issues corresponding to the planning of the production rate and maintenance rate of a failure prone manufacturing system. The discounted cost of our optimization problem is assumed to be a function of the inventory and the maintenance rate, where certain cost rates are specified for positive and negative inventories and maintenance, and there is a constant demand rate for the commodity produced. The objective of this paper is to choose the rates of production and maintenance to minimize a discounted cost over infinite horizon and to partially characterize the optimal solution. In the case where the maximum maintenance rate is equal to a constant coefficient times the maximum production rate , we obtain a solution and show that the optimal solution is characterized by a critical surface, namely "hedging surface". Its description is also given.

, 17 pages