Matrix analytic methods for a multi-server retrial queue with buffer

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1999 English Publisher:Springer Science and Business Media LLCJournal:Top, volume 7, pages 249-266 (issn: 1134-5764, eissn: 1863-8279,

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Authors: Diamond, Jeffrey E.; Alfa, Attahiru Sule;

doi: 10.1007/bf02564725

Matrix analytic methods for a multi-server retrial queue with buffer

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Abstract

In the paper reviewed above the authors have studied single server retrial queues. In this paper, they extend their results for multi-server retrial queues with Markovian arrival process, phase type service time distribution with two states and finite buffer. They obtain the stationary distribution of states and moments of the waiting time using level dependent Markov processes. Solutions are obtained by efficient application of block application of block Gaussian elimination.

Related Organizations

University of Manitoba
Canada

Keywords

Markovian arrival process, finite buffer, Queueing theory (aspects of probability theory), multi-server

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