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The generalization of AQM algorithms for queueing systems with bounded capacity

  • Częstochowa University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

21 Citations (Scopus)

Abstract

A queueing system of the M/M/1/(∞,V) type with generally distributed packet volumes and bounded capacity (total packets volume) is considered. The queue length is controlled by means of the accepting function that enqueues the arriving packet with probability depending on the free capacity volume in the system at the pre-arrival epoch. Explicit representations for stationary probabilities are derived via solving the system of differential equations. Sample numerical results are attached in which stationary queue-size distributions with and without dropping packets are compared.

Original languageEnglish
Title of host publicationParallel Processing and Applied Mathematics - 9th International Conference, PPAM 2011, Revised Selected Papers
Pages242-251
Number of pages10
EditionPART 2
DOIs
Publication statusPublished - 2012
Event9th International Conference on Parallel Processing and Applied Mathematics, PPAM 2011 - Torun, Poland
Duration: 11 Sept 2011 → 14 Sept 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 2
Volume7204 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference9th International Conference on Parallel Processing and Applied Mathematics, PPAM 2011
Country/TerritoryPoland
CityTorun
Period11/09/11 → 14/09/11

Keywords

  • AQM algorithms
  • Loss Probability
  • Numerical Laplace transform inversion
  • Queue-size distribution

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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