On the equivalence of two expected average cost criteria for semi- Markov control processes
classification
🧮 math.OC
keywords
averagecontrolcriteriaexpectedprocessesborelconditionsconsidered
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The two expected average costs used in the theory of semi-Markov control processes with a Borel state space are considered. Under some stochastic stability conditions, we prove that the two criteria are equivalent in the sense that they lead to the same optimality equation.
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