### Abstract

Original language | English |
---|---|

Title of host publication | Queueing Theory and Network Applications |

Subtitle of host publication | 14th International Conference, QTNA 2019, Ghent, Belgium, August 27–29, 2019, Proceedings |

Publisher | Springer |

Pages | 295-313 |

Volume | 11688 |

ISBN (Print) | 978-3-030-27180-0 |

Publication status | Published - 27 Aug 2019 |

### Fingerprint

### Keywords

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

### Cite this

*Queueing Theory and Network Applications: 14th International Conference, QTNA 2019, Ghent, Belgium, August 27–29, 2019, Proceedings*(Vol. 11688, pp. 295-313). Springer.

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*Queueing Theory and Network Applications: 14th International Conference, QTNA 2019, Ghent, Belgium, August 27–29, 2019, Proceedings.*vol. 11688, Springer, pp. 295-313.

**Sojourn Time Distribution in Fluid Queues.** / Deiana, Eleonora; Remiche, Marie-Ange; Latouche, Guy.

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Sojourn Time Distribution in Fluid Queues

AU - Deiana, Eleonora

AU - Remiche, Marie-Ange

AU - Latouche, Guy

N1 - Best Student Paper Award

PY - 2019/8/27

Y1 - 2019/8/27

N2 - 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.

AB - 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.

KW - Markov-modulated fluid flow

KW - Sojourn time

KW - Laplace-Stieljes transform

M3 - Conference contribution

SN - 978-3-030-27180-0

VL - 11688

SP - 295

EP - 313

BT - Queueing Theory and Network Applications

PB - Springer

ER -