M/M/1 retrial queue with working vacations

Authors:
Tien Van Do
Affiliations:
Budapest University of Technology and Economics, Department of Telecommunications, Magyar tudósok körútja 2, 1117, Budapest, Hungary
Venue:
Acta Informatica
Year:
2010

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Abstract

In this paper we introduce the new M/M/1 retrial queue with working vacations which is motivated by the performance analysis of a Media Access Control function in wireless systems. We give a condition for the stability of the model, which has an important impact on setting the retrial rate for such systems. We derive the closed form solution in equilibrium for the retrial M/M/1 queue with working vacations, and we also show that the conditional stochastic decomposition holds for this model as well.