A fluid dynamic model for telecommunication networks with sources and destinations

Ciro D'Apice, Rosanna Manzo, Benedetto Piccoli

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

This paper proposes a macroscopic fluid dynamic model dealing with the flows of information on a telecommunication network with sources and destinations. The model consists of a conservation law for the packet density and a semilinear equation for traffic distribution functions, i.e., functions describing packet paths. We describe methods to solve Riemann problems at junctions assigning different traffic distribution functions and two "routing algorithms." Moreover, we prove the existence of solutions to Cauchy problems for small perturbations of network equilibria.

Original languageEnglish (US)
Pages (from-to)981-1003
Number of pages23
JournalSIAM Journal on Applied Mathematics
Volume68
Issue number4
DOIs
StatePublished - 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Keywords

  • Conservation laws
  • Data flows on telecommunication networks
  • Fluid dynamic models
  • Sources and destinations

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