Bortolussi, Luca and Tribastone, Mirco
*Fluid limits of queueing networks with batches.*
In:
Proceedings of the third joint WOSP/SIPEW international conference on Performance Engineering - ICPE '12.
ACM, pp. 45-56.
ISBN 978-1-4503-1202-8
(2012)

## Abstract

This paper presents an analytical model for the performance prediction of queueing networks with batch services and batch arrivals, related to the fluid limit of a suitable single-parameter sequence of continuous-time Markov chains and interpreted as the deterministic approximation of the average behaviour of the stochastic process. Notably, the underlying system of ordinary differential equations exhibits discontinuities in the right-hand sides, which however are proven to yield a meaningful solution. A substantial numerical assessment is used to study the quality of the approximation and shows very good accuracy in networks with large job populations.

Item Type: | Book Section |
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Identification Number: | 10.1145/2188286.2188296 |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Research Area: | Computer Science and Applications |

Depositing User: | Ms T. Iannizzi |

Date Deposited: | 10 Feb 2015 13:31 |

Last Modified: | 10 Feb 2015 13:31 |

URI: | http://eprints.imtlucca.it/id/eprint/2584 |

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