Traffic user equilibrium and proportionality

Marlies Borchers, Paul Breeuwsma, Walter Kern, Jaap Slootbeek, Georg J. Still, Wouter Tibben

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5 Citations (Scopus)
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We discuss the problem of proportionality and uniqueness for route flows in the classical traffic user equilibrium model. It is well-known that under appropriate assumptions the user equilibrium $(f,x)$ is unique in the link flow $x$ but typically not in the route flow $f$. We consider the concept of proportionality in detail and re-discuss the well-known relation between the so-called bypass proportionality and entropy maximization. We exhibit special proportionality conditions which uniquely determine the route flow $f$. The results are illustrated with some simple example networks.
Original languageUndefined
Pages (from-to)149-160
Number of pages12
JournalTransportation research. Part B: Methodological
Publication statusPublished - Sep 2015


  • EWI-26414
  • IR-98157
  • METIS-315002

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