Explicit Solution of the Average-Cost Optimality Equation for a Pest-Control Problem | Zendy

E.G. Kyriakidis | Zendy

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Explicit Solution of the Average-Cost Optimality Equation for a Pest-Control Problem

Author(s) -

E.G. Kyriakidis

Publication year - 2011

Publication title -

advances in decision sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.178

H-Index - 13

eISSN - 2090-3367

pISSN - 2090-3359

DOI - 10.1155/2011/617812

Subject(s) - optimal control , limit (mathematics) , markov decision process , mathematical optimization , average cost , simple (philosophy) , control limits , class (philosophy) , mathematics , markov chain , control (management) , process (computing) , economics , mathematical economics , markov process , econometrics , computer science , control chart , statistics , microeconomics , artificial intelligence , mathematical analysis , philosophy , management , epistemology , operating system

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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