The fluid limit of a heavily loaded processor sharing queue
type: Item
instance of: scholarly article
title: The fluid limit of a heavily loaded processor sharing queue
zbMATH Open document ID: 1017.60092
author: H. Christian Gromoll
author: Amber L. Puha
author: R. J. Williams
published in: The Annals of Applied Probability
publication date: 2003-05-06T00:00:00Z
review text: A single server queue with renewal arrivals and i.i.d. service times is considered in which the server operates under a processor sharing service discipline. The authors study a critical fluid model for a heavily loaded processor sharing queue. The fluid model state descriptor is a measure-valued function whose dynamics are governed by a nonlinear integral equation. The critical fluid model can be served as a first order approximation of a heavily loaded processor.
reviewed by: Anatolij Dvurečenskij
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 1906167
zbMATH Keywords: processor sharing queue
zbMATH Keywords: heavy traffic
zbMATH Keywords: fluid model
zbMATH Keywords: renewal equation
zbMATH Keywords: measure valued process
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1031863171
OpenAlex ID: W2053822784
DOI: 10.1214/AOAP/1031863171
description: scientific article; zbMATH DE number 1906167