Explicit Solution of the Average-Cost Optimality Equation for a Pest-Control Problem
We introduce a Markov decision process in continuous time for the optimal control of a simple symmetrical immigration-emigration process by the introduction of total catastrophes. It is proved that a particular control-limit policy is average cost optimal within the class of all stationary policies...
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| Format: | Article |
| Language: | English |
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Asia University
2011-01-01
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| Series: | Advances in Decision Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/617812 |
| Summary: | We introduce a Markov decision process in continuous time for the optimal control of a simple symmetrical immigration-emigration process by the introduction of total catastrophes. It is proved that a particular control-limit policy is average cost optimal within the class of all stationary policies by verifying that the relative values of this policy are the solution of the corresponding optimality equation. |
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| ISSN: | 2090-3359 2090-3367 |