Traffic user equilibrium and proportionality

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

Transportation Research Part B: Methodological, 2015, vol. 79, issue C, 149-160

Abstract: 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.

Keywords: User-equilibrium; Route flows; Proportionality; Uniqueness (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (7)

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DOI: 10.1016/j.trb.2015.06.004

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