On the second optimality equation for semi-Markov decision models
Mathematics of Operations Research
Stochastic Optimal Control: The Discrete-Time Case
Stochastic Optimal Control: The Discrete-Time Case
On the Equivalence of Two Expected Average Cost Criteria for Semi-Markov Control Processes
Mathematics of Operations Research
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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.