Breuer, Lothar and Dudin, A. and Klimenok, V.I. (2002) A Retrial BMAP/PH/N System. Queueing Systems, 40 (4). pp. 433-457. ISSN 0257-0130.
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A multi-server retrial queueing model with Batch Markovian Arrival Process and phase-type service time distribution is analyzed. The continuous-time multi-dimensional Markov chain describing the behavior of the system is investigated by means of reducing it to the corresponding discrete-time multi-dimensional Markov chain. The latter belongs to the class of multi-dimensional quasi-Toeplitz Markov chains in the case of a constant retrial rate and to the class of multi-dimensional asymptotically quasi-Toeplitz Markov chains in the case of an infinitely increasing retrial rate. It allows to obtain the existence conditions for the stationary distribution and to elaborate the algorithms for calculating the stationary state probabilities.
|Uncontrolled keywords:||BMAP/PH/N retrial model; matrix analytic methods; batch Markovian arrival process; PH-distribution; asymptotically quasi-Toeplitz Markov chains|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Lothar Breuer|
|Date Deposited:||17 Sep 2008 10:13|
|Last Modified:||30 Jul 2012 10:38|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/4041 (The current URI for this page, for reference purposes)|
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