On Fluid Queueing Systems with Strict Priority

Yong Liu, Weibo Gong

Research output: Contribution to journalArticle

Abstract

We consider priority fluid queueing systems where high-priority class has strict priority access to service. Sample path analysis tools, such as Poisson counter driven stochastic differential equation, are employed to study system queueing behavior in steady state. We are able to obtain various analytical results for different fluid traffic models and system configurations. Those results can be used as a general rule of thumb in buffer dimensioning and other traffic engineering issues.

Original languageEnglish (US)
Pages (from-to)2079-2088
Number of pages10
JournalIEEE Transactions on Automatic Control
Volume48
Issue number12
DOIs
StatePublished - Dec 2003

Fingerprint

Fluids
Differential equations

Keywords

  • Poisson counter driven stochastic differential equation
  • Priority fluid queue
  • Tandem fluid system
  • Traffic autocorrelation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

On Fluid Queueing Systems with Strict Priority. / Liu, Yong; Gong, Weibo.

In: IEEE Transactions on Automatic Control, Vol. 48, No. 12, 12.2003, p. 2079-2088.

Research output: Contribution to journalArticle

Liu, Yong ; Gong, Weibo. / On Fluid Queueing Systems with Strict Priority. In: IEEE Transactions on Automatic Control. 2003 ; Vol. 48, No. 12. pp. 2079-2088.
@article{d7c29bf4c1ce4832927da4ec86c4f025,
title = "On Fluid Queueing Systems with Strict Priority",
abstract = "We consider priority fluid queueing systems where high-priority class has strict priority access to service. Sample path analysis tools, such as Poisson counter driven stochastic differential equation, are employed to study system queueing behavior in steady state. We are able to obtain various analytical results for different fluid traffic models and system configurations. Those results can be used as a general rule of thumb in buffer dimensioning and other traffic engineering issues.",
keywords = "Poisson counter driven stochastic differential equation, Priority fluid queue, Tandem fluid system, Traffic autocorrelation",
author = "Yong Liu and Weibo Gong",
year = "2003",
month = "12",
doi = "10.1109/TAC.2003.820060",
language = "English (US)",
volume = "48",
pages = "2079--2088",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "12",

}

TY - JOUR

T1 - On Fluid Queueing Systems with Strict Priority

AU - Liu, Yong

AU - Gong, Weibo

PY - 2003/12

Y1 - 2003/12

N2 - We consider priority fluid queueing systems where high-priority class has strict priority access to service. Sample path analysis tools, such as Poisson counter driven stochastic differential equation, are employed to study system queueing behavior in steady state. We are able to obtain various analytical results for different fluid traffic models and system configurations. Those results can be used as a general rule of thumb in buffer dimensioning and other traffic engineering issues.

AB - We consider priority fluid queueing systems where high-priority class has strict priority access to service. Sample path analysis tools, such as Poisson counter driven stochastic differential equation, are employed to study system queueing behavior in steady state. We are able to obtain various analytical results for different fluid traffic models and system configurations. Those results can be used as a general rule of thumb in buffer dimensioning and other traffic engineering issues.

KW - Poisson counter driven stochastic differential equation

KW - Priority fluid queue

KW - Tandem fluid system

KW - Traffic autocorrelation

UR - http://www.scopus.com/inward/record.url?scp=0347316659&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347316659&partnerID=8YFLogxK

U2 - 10.1109/TAC.2003.820060

DO - 10.1109/TAC.2003.820060

M3 - Article

AN - SCOPUS:0347316659

VL - 48

SP - 2079

EP - 2088

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 12

ER -