Priority-based Riemann solver for traffic flow on networks

Maria Laura Delle Monache, Paola Goatin, Benedetto Piccoli

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


In this article we introduce a new Riemann solver for traffic flow on networks. The Priority Riemann solver (PRS) provides a solution at junctions by taking into consideration priorities for the incoming roads and maximization of through flux. We prove existence of solutions for the solver for junctions with up to two incoming and two outgoing roads and show numerically the comparison with previous Riemann solvers. Additionally, we introduce a second version of the solver that considers the priorities as softer constraints and illustrate numerically the differences between the two solvers.

Original languageEnglish (US)
Pages (from-to)185-211
Number of pages27
JournalCommunications in Mathematical Sciences
Issue number1
StatePublished - 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics


  • Riemann solver
  • Scalar conservation laws
  • Traffic flow


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