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• W2165171195 abstract "We consider a Markov decision chain with countable state space, finite action sets, and nonnegative costs. Conditions for the average cost optimality inequality to be an equality are derived. This extends work of Cavazos-Cadena [8]. It is shown that an optimal stationary policy must satisfy the optimality equation at all positive recurrent states. Structural results on the chain induced by an optimal stationary policy are derived. The results are employed in two examples to prove that any optimal stationary policy must be of critical number form." @default.
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• W2165171195 date "1993-01-01" @default.
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• W2165171195 title "The Average Cost Optimality Equation and Critical Number Policies" @default.
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• W2165171195 doi "https://doi.org/10.1017/s0269964800002783" @default.
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