Abstract
Average cost optimization problem for a semi-Markov decision model with a countable state space and an arbitrary decision space is considered. The Conditions without optimality equation are discussed when the next proposition is true:If there exists an optimal stationary strategythen there exists a nonrandomized oneThe results obtained here and in [7] allow to formulate sufficient conditions, convenient in queueing theory, for optimality of a stationary nonrandomized strategy.
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