A retrial BMAP/PH/N system
type: Item
instance of: scholarly article
title: A retrial BMAP/PH/N system
zbMATH Open document ID: 1169.90335
DOI: 10.1023/A:1015041602946
author: Lothar Breuer
author: Alexander Dudin
author: Valentina Klimenok
published in: Queueing Systems
publication date: 2002-05-28T00:00:00Z
review text: Retrial queueing models are characterized by the fact that the arrival calls, which find the servers busy, do not line up or leave the system forever, but they try their luck after some random time. In this paper the authors consider a multi-server retrial queueing model with batch Markovian arrival process and phase-type service distribution. This model is suitable for the analysis and optimization of mobile computer communication networks. 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.
reviewed by: Gheorghe Oprişan
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 1746326
zbMATH Keywords: \(BMAP/PH/N\) retrial model
zbMATH Keywords: matrix analytic methods
zbMATH Keywords: batch Markovian arrival process
zbMATH Keywords: \(PH\)-distribution
zbMATH Keywords: asymptotically quasi-Toeplitz Markov chain
MaRDI profile type: Publication
full work available at URL: a:1015041602946
OpenAlex ID: W1509970629
description: scientific article; zbMATH DE number 1746326