Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Existence of optimal stationary policies in average reward Markov decision processes with a recurrent state

Existence of optimal stationary policies in average reward Markov decision processes with a... We consider discrete-timeaverage reward Markov decision processes with denumerable state space andbounded reward function. Under structural restrictions on the model the existence of an optimal stationary policy is proved; both the lim inf and lim sup average criteria are considered. In contrast to the usual approach our results donot rely on the average regard optimality equation. Rather, the arguments are based on well-known facts fromRenewal Theory. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Existence of optimal stationary policies in average reward Markov decision processes with a recurrent state

Loading next page...
 
/lp/springer-journals/existence-of-optimal-stationary-policies-in-average-reward-markov-gWdcqwRyyZ

References (16)

Publisher
Springer Journals
Copyright
Copyright © 1992 by Springer-Verlag New York Inc.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01189029
Publisher site
See Article on Publisher Site

Abstract

We consider discrete-timeaverage reward Markov decision processes with denumerable state space andbounded reward function. Under structural restrictions on the model the existence of an optimal stationary policy is proved; both the lim inf and lim sup average criteria are considered. In contrast to the usual approach our results donot rely on the average regard optimality equation. Rather, the arguments are based on well-known facts fromRenewal Theory.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Feb 2, 2005

There are no references for this article.