Sojourn Time Distribution in Fluid Queues

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Abstract

We consider a fluid flow model with infinite buffer. We compute the Laplace-Stieltjes transform of the sojourn time proceeding in two steps. We first compute the stationary distribution of the buffer at arrival instants, using a change of clock. Secondly, we compute the transform of the time spent to empty the buffer. Numerical examples of sojourn time in a fluid flow are finally examined.
Original languageEnglish
Title of host publicationQueueing Theory and Network Applications
Subtitle of host publication14th International Conference, QTNA 2019, Ghent, Belgium, August 27–29, 2019, Proceedings
EditorsTuan Phung-Duc, Shoji Kasahara, Sabine Wittevrongel
PublisherSpringer
Pages295-313
Number of pages19
Volume11688
ISBN (Print)978-3-030-27180-0
DOIs
Publication statusPublished - 27 Aug 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11688 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Keywords

  • Markov-modulated fluid flow
  • Sojourn time
  • Laplace-Stieljes transform

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  • Cite this

    Deiana, E., Remiche, M-A., & Latouche, G. (2019). Sojourn Time Distribution in Fluid Queues. In T. Phung-Duc, S. Kasahara, & S. Wittevrongel (Eds.), Queueing Theory and Network Applications: 14th International Conference, QTNA 2019, Ghent, Belgium, August 27–29, 2019, Proceedings (Vol. 11688, pp. 295-313). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11688 LNCS). Springer. https://doi.org/10.1007/978-3-030-27181-7_18