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Optimal stationary policies for denumerable Markov chains in continuous time

Published online by Cambridge University Press:  01 July 2016

John Bather
John Bather*
Affiliation:
University of Sussex
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Abstract

This paper is concerned with the problem of selecting the transition intensities for a Markov chain in continuous time so as to minimise the long-term average cost. Sufficient conditions are established for an optimal stationary policy using unbounded solutions of the optimality equation. This is a development of recent work on Markovian decision processes in discrete time. The theory is illustrated by considering a simple birth and death process with controlled immigration.

Keywords

MARKOVIAN DECISION PROCESSMINIMUM AVERAGE COSTCONTINUOUS TIMEDYNAMIC PROGRAMMINGOPTIMALITY EQUATION
Type
Research Article
Information
Advances in Applied Probability , Volume 8 , Issue 1 , March 1976 , pp. 144 - 158
Copyright
Copyright © Applied Probability Trust 1976 

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References

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