Abstract
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 /spl nu/~ is equal to a constant coefficient times the maximum production rate u~, we obtain a solution and show that the optimal solution is characterized by a critical surface, namely "hedging surface". Its description is also given.
| Original language | English |
|---|---|
| Pages (from-to) | 881-885 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 41 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1996 |
| Externally published | Yes |