"Threshold Phenomenon in Controlled Retrial Queue with Heterogeneous Servers"
Threshold Phenomenon in Controlled Retrial Queue with Heterogeneous Servers
Sprache des Titels:
Retrial queues are an important stochastic model for many telecommunication systems. In order to construct competitive networks it is necessary to investi- gate ways for optimal control. This paper considers K -server retrial systems with arrivals governed by Neuts' Markovian arrival process, and heterogeneous service time distributions of general phase-type. In this paper we show that the optimal policy has threshold property with threshold levels depending on the state of arrival and service processes. An algorithm for the numerical evaluation of an optimal control is proposed on the basis of Howard's iteration algorithm. Finally, some numerical results will be given in order to illustrate the system dynamics.