Groupe d’études et de recherche en analyse des décisions

G-99-06

Optimal Tracker for Unreliable Manufacturing Systems

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This paper deals with the inventory-production control problem where the produced items are assumed to deteriorate with a rate that depends on the demand rate of the production system. The state of this production system is assumed to be described by a continuous-time Markov Process taking values in a finite discrete space. The inventory-production control problem is formulated as a jump linear quadratic control problem. The optimal policy that solves the optimal control problem is obtained in terms of a set of coupled Riccati equations. The guaranteed cost problem is also treated. A numerical example is provided to show the usefulness of the proposed model.

, 22 pages