Sojourn Time Distribution in Fluid Queues

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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
PublisherSpringer
Pages295-313
Volume11688
ISBN (Print)978-3-030-27180-0
Publication statusPublished - 27 Aug 2019

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Keywords

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

Cite this

Deiana, E., Remiche, M-A., & Latouche, G. (2019). Sojourn Time Distribution in Fluid Queues. In Queueing Theory and Network Applications: 14th International Conference, QTNA 2019, Ghent, Belgium, August 27–29, 2019, Proceedings (Vol. 11688, pp. 295-313). Springer.