Optimality in Feller semi-Markov control processes

  • Authors:
  • Anna Jakiewicz;Andrzej S. Nowak

  • Affiliations:
  • Institute of Mathematics and Computer Science, Wrocław University of Technology, Wyspiańskiego 27, 50-370 Wrocław, Poland;Faculty of Mathematics, Computer Science, and Econometrics, University of Zielona Góra, Podgórna 50, 65-246 Zielona Góra, Poland

  • Venue:
  • Operations Research Letters
  • Year:
  • 2006

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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.