Variational Inequality Models of Ideal Dynamic User-Optimal Route Choice Problems

  • Bin Ran
  • David E. Boyce
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 417)


In this chapter, we present both route-based and link-based variational inequality models for the ideal dynamic user-optimal route choice problem. In Section 13.1, a route-time-based VI model for ideal DUO route choice is proposed. This model is the most straight-forward formulation of route-time-based, ideal DUO route choice conditions. In Section 13.2, a multi-group route-time-based VI model is developed. In this model, each group of travelers is associated with a disutility function. Thus, the route-based ideal DUO route choice conditions are defined for each group of travelers on the basis of travel disutilities instead of travel times only.


Travel Time Variational Inequality Route Choice Departure Flow Link Travel Time 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Bin Ran
    • 1
  • David E. Boyce
    • 2
  1. 1.Institute of Transportation StudiesUniversity of California at BerkeleyRichmondUSA
  2. 2.Urban Transportation CenterUniversity of Illinois at ChicagoChicagoUSA

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