Threshold policies for controlled retrial queues with heterogeneous servers |
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Authors: | Dimitri frosinin L Breuer |
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Institution: | (1) FB IV, Informatik, University Trier, Trier, 54286, Germany |
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Abstract: | Retrial queues are an important stochastic model for many telecommunication systems. In order to construct competitive networks
it is necessary to investigate ways for optimal control. This paper considers K -server retrial systems with arrivals governed by Neut' Markovian arrival process, and heterogeneous service time distributions
of general phase-type. We show that the optimal policy which minimizes the number of customers in the system is of a threshold
type with threshold levels depending on the states of the arrival and service processes. An algorithm for the numerical evaluation
of an optimal control is proposed on the basis of Howar's iteration algorithm. Finally, some numerical results will be given
in order to illustrate the system dynamics.
AMS subject classification: 60K25 93E20 |
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Keywords: | Optimal Control MAP PH Retrial queueing system Controllable queueing systems Monotonicity of optimal policies Threshold levels Numerical analysis |
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