Optimal Tracker For Unreliable Manufacturing Systems
This paper deals with the inventory-production control problem where the produced items are assumed to deteriorate at 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...
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| Other Authors: | , |
| Format: | article |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://eprints.kfupm.edu.sa/id/eprint/2420/1/optimal_tracker_for_unreliable_manufactu_boukas_isi_000086140600006.doc |
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| Summary: | This paper deals with the inventory-production control problem where the produced items are assumed to deteriorate at 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 stochastic optimal 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. |
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