Packet flow on telecommunication networks

Ciro D'Apice, Rosanna Manzo, Benedetto Piccoli

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


The aim of this paper is to introduce a macroscopic fluid dynamic model dealing with the flow of information on a telecommunication network encoded in packets. Taking an intermediate time and space scale, we propose a model similar to that introduced recently for car traffic; see [G. M. Coclite, M. Garavello, and B. Piccoli, SIAM J. Math. Anal., 36 (2005), pp. 1862-1886). For dynamics at nodes we consider two "routing algorithms" and prove existence of solutions to Cauchy problems. The main difference among the two algorithms is the possibility of redirecting packets of the second algorithm, which in turn implies stability, i.e., Lipschitz continuous dependence on initial data, not granted for solutions using the first algorithm.

Original languageEnglish (US)
Pages (from-to)717-740
Number of pages24
JournalSIAM Journal on Mathematical Analysis
Issue number3
StatePublished - 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics


  • Conservation laws
  • Fluid dynamic models
  • Traffic flow on networks


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