Optimal Control of a Continuous-Flow Failure Prone Manufacturing System
| Authors: | Gu Liya, INRIA/MACSI-LGIPM, France, Metropolitan
Hennequin Sophie, INRIA/MACSI-ENIM, France, Metropolitan
Xie Xiaolan, INRIA/MACSI, France, Metropolitan |
|---|
| Topic: | 5.1 Manufacturing Plant Control |
|---|
| Session: | Supply Planning and Inventory Control under Uncertainties |
|---|
| Keywords: | manufacturing systems, optimal control, stochastic failure |
|---|
Abstract
In this article the problem of inventory management of a single-stage single-product and two-machine-state continuous-flow manufacturing system with constant demand is considered. The machine is subject to operation-dependent failures. All the random variables are exponentially distributed. The goal is to obtain, in this case, the optimal policy which minimizes the discounted cost function. It is then proved that the optimal control is of hedging point type and that the value of the hedging point is nonnegative. This value is estimated by simulation.
