Analysis of the weighted fair queuing system with two classes of customers with finite buffer

Amina Al-Sawaai*, Irfan Awan, Rod Fretwell

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

This paper analyses a multiple class single server M/M/1/K queue with finite capacity under weighted fair queuing (WFQ) discipline. The Poisson process has been used to model the multiple classes of arrival streams. The service times have exponential distribution. Analytical expressions for the flow balanced equations have been derived using Markov chain. This paper presents an analytical and numerical solution to the M/M/1/K queue with finite buffer under (WFQ ) service and the derivation of a general expression for the steady state probabilities for any buffer K. Numerical experiments corroborate the theoretical results are also offered.

Original languageEnglish
Title of host publicationProceedings - 2009 International Conference on Advanced Information Networking and Applications Workshops, WAINA 2009
Pages218-223
Number of pages6
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event2009 International Conference on Advanced Information Networking and Applications Workshops, WAINA 2009 - Bradford, United Kingdom
Duration: May 26 2009May 29 2009

Publication series

NameProceedings - International Conference on Advanced Information Networking and Applications, AINA
ISSN (Print)1550-445X

Other

Other2009 International Conference on Advanced Information Networking and Applications Workshops, WAINA 2009
Country/TerritoryUnited Kingdom
CityBradford
Period5/26/095/29/09

Keywords

  • First inter first out (FIFO)
  • Markov chain
  • Weighted fair queuing (WFQ)

ASJC Scopus subject areas

  • General Engineering

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