Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
type: Item
instance of: scholarly article
title: Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
zbMATH Open document ID: 1107.60060
published in: Queueing Systems
publication date: 2007-01-04T00:00:00Z
review text: The paper proposes a new definition of the discrete-time multi-dimensional asymptotically quasi-Toeplitz Markov chains (AQTMC). It presents the stability and instability conditions and describes an algorithm for calculating the stationary distribution. An application to BMAP/SM/1 type retrial queues is briefly illustrated. The continuous AQTMC are presented along with an illustrative result using BMAP/PH/N retrial queueing model.
reviewed by: Oleg K. Zakusilo
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60K20
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 5081650
zbMATH Keywords: Multi-dimensional Markov chains
zbMATH Keywords: ergodicity
author: Valentina Klimenok
author: Alexander Dudin
MaRDI profile type: Publication
full work available at URL: s11134-006-0300-z
OpenAlex ID: W1978082286
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DOI: 10.1007/S11134-006-0300-Z
description: scientific article; zbMATH DE number 5081650