Vertex flow models for vehicular traffic on networks

Ciro D'Apice, Benedetto Piccoli

Research output: Contribution to journalArticle

13 Scopus citations


Some models of flow on a network are discussed. Assuming a macroscopic approach on each arc of the network, we consider a system of conservation laws and various possible choices to describe the evolution at vertices are discussed. A general framework proposed in recent literature is presented, then some new solutions for the scalar case are proposed and analyzed.

Original languageEnglish (US)
Pages (from-to)1299-1315
Number of pages17
JournalMathematical Models and Methods in Applied Sciences
Issue numberSUPPL.
StatePublished - Aug 1 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Applied Mathematics


  • Conservation laws
  • Networks
  • Traffic flows

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