On the virtual waiting time for an M/G/1 retrial queue with two types of calls

Author:

Choi Bong Dae1,Han Dong Hwan1,Falin Guennadi2

Affiliation:

1. Korea Advanced Institute of Science and Technology, Department of Mathematics, Yusong.gu, Taejon 305- 701, Korea

2. Moscow State University, Department of Probability, Mechanics and Mathematics Faculty, Moscow 119899, Russia

Abstract

We consider an M/G/1 retrial queueing system with two types of calls which models a telephone switching system. In the case that arriving calls are blocked due to the channel being busy, the outgoing calls are queued in priority group whereas the incoming calls enter the retrial group in order to try service again after a random amount of time. In this paper we find the Laplace-Stieltjes transform of the distribution of the virtual waiting time for an incoming call. When the arrival rate of outgoing calls is zero, it is shown that our result is consistent with the known result for a retrial queueing system with one type of call.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

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