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Optimality in Feller semi-Markov control processes
Authors:Anna Ja?kiewicz  Andrzej S. Nowak
Affiliation:a Institute of Mathematics and Computer Science, Wroc?aw University of Technology, Wyspiańskiego 27, 50-370 Wroc?aw, Poland
b Faculty of Mathematics, Computer Science, and Econometrics, University of Zielona Góra, Podgórna 50, 65-246 Zielona Góra, Poland
Abstract:Semi-Markov control processes with Borel state space and Feller transition probabilities are considered. The objective of the paper is to prove coincidence of two expected average costs: the time-average and the ratio-average for stationary policies. Moreover, the optimal stationary policy is the same for both criteria.
Keywords:Semi-Markov control models   Borel state space
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