Fluid queue driven by a GI/GI/1 queue
type: Item
instance of: scholarly article
title: Fluid queue driven by a GI/GI/1 queue
zbMATH Open document ID: 0912.60090
DOI: 10.1007/BF02432863
author: K. Appert
published in: Journal of Mathematical Sciences (New York)
publication date: 1998-12-09T00:00:00Z
review text: The Laplace-Stieltjes transform of the stationary distribution of the buffer content in the case of M/GI/1 queue is the first phase. The author shows that this distribution depends on the form of the service-time distribution which entails that the change of GI/GI/1 by M/M/1 is not correct, in general. Finally, the stability of the steady-state distribution function of the buffer content is exhibited.
reviewed by: Anatolij Dvurečenskij
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 1230316
zbMATH Keywords: GI/GI/1 queue
zbMATH Keywords: M/M/1 queue
zbMATH Keywords: buffer content
zbMATH Keywords: stationary distribution
zbMATH Keywords: probability metrics
MaRDI profile type: Publication
cites work: Simple analysis of a fluid queue driven by an \(M/M/1\) queue
cites work: Q3199178
cites work: Q4841588
cites work: Q4888909
cites work: Fluid queue driven by an \(M/M/1\) queue
full work available at URL: https://doi.org/10.1007/bf02432863
OpenAlex ID: W2007133488
description: scientific article; zbMATH DE number 1230316