Q333455
type: Item
instance of: scholarly article
title: Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent \(\mathrm{M}/\mathrm{G}/1\)-type and its application to \(\mathrm{BMAP}/\mathrm{M}/\infty\) and \(\mathrm{BMAP}/\mathrm{M}/c+\mathrm{M}\) queues
zbMATH Open document ID: 1348.60134
author: Tetsuya Takine
published in: Queueing Systems
publication date: 2016-10-31T00:00:00Z
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60J22
zbMATH DE Number: 6645550
zbMATH Keywords: Markov chain of \(\mathrm{M}/\mathrm{G}/1\)-type
zbMATH Keywords: level dependence
zbMATH Keywords: stationary distribution
zbMATH Keywords: computational algorithm
zbMATH Keywords: \(\mathrm{BMAP}/\mathrm{M}/\infty\)
zbMATH Keywords: \(\mathrm{BMAP}/\mathrm{M}/c+\mathrm{M}\)
MaRDI profile type: Publication
full work available at URL: s11134-016-9482-1
OpenAlex ID: W2468885269
cites work: Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes
cites work: The BMAP/G/1 queue with level-dependent arrivals -- An overview
cites work: Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
cites work: AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue
cites work: Analysis of an infinite-server queue with batch Markovian arrival streams
cites work: Algorithmic Computation of the Time-Dependent Solution of Structured Markov Chains and Its Application to Queues
cites work: Q4692768
cites work: Q4864762
cites work: State-dependent M/M/\(c/c + r\) retrial queues with Bernoulli abandonment
cites work: Single-server queues with Markov-modulated arrivals and service speed
DOI: 10.1007/S11134-016-9482-1
label: Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent \(\mathrm{M}/\mathrm{G}/1\)-type and its application to \(\mathrm{BMAP}/\mathrm{M}/\infty\) and \(\mathrm{BMAP}/\mathrm{M}/c+\mathrm{M}\) queues
description: scientific article; zbMATH DE number 6645550