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Analysis of transient virtual delay in a finite-buffer queueing model with generally distributed setup times

  • Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences
  • Silesian University of Technology

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

1 Citation (Scopus)

Abstract

Time-dependent queueing delay (virtual waiting time) distribution conditioned by the initial level of buffer saturation is considered in a finite model with Poisson arrivals, generally distributed service times and setup times preceding the first processing in each busy period. Applying theoretical approach based on the idea of embedded Markov chain, integral equations and some results from linear algebra, a compact-form representation for the Laplace transform of queueing delay distribution is obtained. Analytical results are illustrated via numerical considerations confirmed by process-based discrete-event simulations.

Original languageEnglish
Title of host publicationComputer and Information Sciences - 31st International Symposium, ISCIS 2016, Proceedings
EditorsRicardo Lent, Erol Gelenbe, Tadeusz Czachórski, Krzysztof Grochla
PublisherSpringer Verlag
Pages175-184
Number of pages10
ISBN (Print)9783319472164
DOIs
Publication statusPublished - 2016
Event31st International Symposium on Computer and Information Sciences, ISCIS 2016 - Kraków, Poland
Duration: 27 Oct 2016 → 28 Oct 2016

Publication series

NameCommunications in Computer and Information Science
Volume659
ISSN (Print)1865-0929

Conference

Conference31st International Symposium on Computer and Information Sciences, ISCIS 2016
Country/TerritoryPoland
CityKraków
Period27/10/16 → 28/10/16

ASJC Scopus subject areas

  • General Computer Science
  • General Mathematics

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