A splitting rate model of traffic re-routeing and traffic control

Mike Smith*, Richard Mounce

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

73 Citations (Scopus)


The paper presents an idealised dynamical model of day-to-day or within-day re-routeing using splitting rates at nodes, or node-exit flows, rather than route-flows. It is shown that under certain conditions the dynamical model gives rise to a sequence of link flow vectors which converges to a set of approximate Wardrop equilibria. A special dynamical signal green-time re-allocation model is added; the combination is also shown (in outline) to converge to the set of approximate consistent equilibria under certain conditions. Finally the paper uses model network results to illustrate a method of designing fixed time signal timings to meet different scenarios.

Original languageEnglish
Pages (from-to)1389-1409
Number of pages21
JournalTransportation Research Part B: Methodological
Issue number9
Publication statusPublished - Nov 2011


  • day to day re-routeing
  • pitchfork bifurcation
  • re-routeing
  • responsive signal control
  • within day re-routeing


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