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Queue with limited volume, a diffusion approximation approach

  • Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences
  • Université Paris 13

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

The article presents a diffusion approximation model applied to investigate queues with finite capacity. Usually it is assumed that the size of a queue is limited by the maximum number of customers allowed to the system. Here, we assume that the size of customers is random (i.e. we consider batch arrivals with an arbitrary batch size distribution) and the constraint is given by the total volume of the queue. It is more adequate if we consider the queues of packets in e.g. IP routers where the volume of a buffer where packets are stored is limited and the size of packets is variable.

Original languageEnglish
Title of host publicationComputer and Information Sciences - Proceedings of the 25th International Symposium on Computer and Information Sciences
Pages71-74
Number of pages4
DOIs
Publication statusPublished - 2010
Event25th International Symposium on Computer and Information Sciences, ISCIS 2010 - London, United Kingdom
Duration: 22 Sept 201024 Sept 2010

Publication series

NameLecture Notes in Electrical Engineering
Volume62 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference25th International Symposium on Computer and Information Sciences, ISCIS 2010
Country/TerritoryUnited Kingdom
CityLondon
Period22/09/1024/09/10

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering

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