Abstract

In this paper, the problem of three kinds of average criteria (totally so-called strong average criterion) for controlled nonhomogeneous Markov chains with possibly unbounded rewards and denumerable state space is studied. We proposed a new set of conditions under which the existence of both a solution to the optimality equations and the strong average ∈-optimal Markov policies is derived by martingale theory. Furthermore, an algorithm for computing strong average ∈(>0)-optimal Markov policies is presented.

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