Abstract
AbstractIn this paper, we consider denumerable state continuous time Markov decision processes with (possibly unbounded) transition and cost rates under average criterion. We present a set of conditions and prove the existence of both average cost optimal stationary policies and a solution of the average optimality equation under the conditions. The results in this paper are applied to an admission control queue model and controlled birth and death processes.
Publisher
Cambridge University Press (CUP)
Subject
Mathematics (miscellaneous)
Reference21 articles.
1. Continuous time Markov decision programming with average reward criterion and unbounded reward rate
2. On homogeneous Markov model with continuous time and finite or countable state space;Yushkevich;Theory,1979
3. Continuous time Markov decision processes with unbounded reward and non-uniformly bounded transition rate under discounted criterion;Wu;Acta Math. Appl. Sinica,1997
4. Optimal control of random walks, birth and death processes, and queues
5. Another set of conditions for average optimality in Markov control processes
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