A Markov-modulated M/G/1 queue. I: Stationary distribution
type: Item
instance of: scholarly article
title: A Markov-modulated M/G/1 queue. I: Stationary distribution
zbMATH Open document ID: 0662.60099
DOI: 10.1007/BF01150670
published in: Queueing Systems
publication date: 1987-01-01T00:00:00Z
review text: An M/G/1 queueing system in which the arrival rate and service time density are functions of a two-state stochastic process is considered. The paper describes the system by the total unfinished work present and allows the arrival and service rate processes to depend on the current value of the unfinished work. Singular perturbation methods are employed to compute asymptotic approximations to the stationary distribution of unfinished work. (From the authors' abstract.)
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 4082677
zbMATH Keywords: state dependent
zbMATH Keywords: Markov modulated queues
zbMATH Keywords: Singular perturbation methods
zbMATH Keywords: asymptotic approximations
author: Charles Knessl
author: B. J. Matkowsky
author: Zeev Schuss
author: Charles Tier
reviewed by: Damodar Shanbhag
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01150670
OpenAlex ID: W4239608788
description: scientific article; zbMATH DE number 4082677