Analysis of fluid queues in saturation with additive decomposition

Miklós Telek, Miklós Vécsei

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

2 Citations (Scopus)

Abstract

Fluid queueing models with finite capacity buffers are applied to analyze a wide range of real life systems. There are well established numerical procedures for the analysis of these queueing models when the load is lower or higher than the system capacity, but these numerical methods become unstable as the load gets close to the system capacity. One of the available numerical procedures is the additive decomposition method proposed by Nail Akar and his colleagues. The additive decomposition method is based on a separation of the eigenvalues of the characterizing matrix into the zero eigenvalue, the eigenvalues with positive real part and the eigenvalues with negative real part. The major problem of the method is that the number of zero eigenvalues increases by one at saturation. In this paper we present an extension of the additive decomposition method which remain numerically stable at saturation as well.

Original languageEnglish
Title of host publicationModern Probabilistic Methods for Analysis of Telecommunication Networks - Belarusian Winter Workshops in Queueing Theory, BWWQT 2013, Proceedings
PublisherSpringer Verlag
Pages167-176
Number of pages10
ISBN (Print)9783642359798
DOIs
Publication statusPublished - Jan 1 2013
Event22nd Belarusian Workshop on Queueing Theory, BWWQT 2013 - Minsk, Belarus
Duration: Jan 28 2013Jan 31 2013

Publication series

NameCommunications in Computer and Information Science
Volume356 CCIS
ISSN (Print)1865-0929

Other

Other22nd Belarusian Workshop on Queueing Theory, BWWQT 2013
CountryBelarus
CityMinsk
Period1/28/131/31/13

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Keywords

  • Markov fluid queue
  • additive decomposition method

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

Cite this

Telek, M., & Vécsei, M. (2013). Analysis of fluid queues in saturation with additive decomposition. In Modern Probabilistic Methods for Analysis of Telecommunication Networks - Belarusian Winter Workshops in Queueing Theory, BWWQT 2013, Proceedings (pp. 167-176). (Communications in Computer and Information Science; Vol. 356 CCIS). Springer Verlag. https://doi.org/10.1007/978-3-642-35980-4_19