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On controlled Markov processes with average cost criterion. (English) Zbl 0633.90090

The authors consider continuous-time controlled Markov chains with costs in finite time equal to the integral of a function of the path and control plus a function evaluated at jumps. A stationary control is sought that minimizes the long-term time-average cost. They prove a theorem on the normal limit of the finite-time cost as the time becomes large, and show that the time spent by that cost above its asymptotic mean has under certain conditions an arcsine distribution.
Reviewer: K.Wickwire

MSC:

90C40 Markov and semi-Markov decision processes
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References:

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