Control of Markov chains with long-run average cost criterion: the dynamic programming equations
SIAM Journal on Control and Optimization
Adaptive Markov Control Processes
Adaptive Markov Control Processes
Introduction to Stochastic Dynamic Programming: Probability and Mathematical
Introduction to Stochastic Dynamic Programming: Probability and Mathematical
Stochastic Optimal Control: The Discrete-Time Case
Stochastic Optimal Control: The Discrete-Time Case
Comparing recent assumptions for the existence of average optimal stationary policies
Operations Research Letters
The value iteration method for countable state Markov decision processes
Operations Research Letters
The convergence of value iteration in average cost Markov decision chains
Operations Research Letters
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We consider average Markov decision processes on countable state space, compact action space and with unbounded costs. Under a certain penalizing condition on the cost for unstable behavior, we establish the existence of a stable stationary strategy which is strong average optimal.