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Optimal routing into two heterogeneous service stations with delayed information

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1 Author(s)
Artiges, D. ; Inst. Nat. de Recherche en Inf. et Autom., Sophia Antipolis

The problem of optimal routing of messages into two parallel queues is considered in the framework of discrete-time Markov decision processes with countable state space and unbounded costs. We assume that the controller has a delayed state information, the delay being equal to one time slot. Both discount and average optimal policies are shown to be monotone and of threshold type

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Automatic Control, IEEE Transactions on  (Volume:40 ,  Issue: 7 )