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An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs

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  • Sang Nguyen

    (University of Montreal, Montreal, Quebec, Canada)

  • Clermont Dupuis

    (University of Montreal, Montreal, Quebec, Canada)

Abstract

In the presence of several user categories or transportation modes, or when transportation costs on each arc of a network depend on the flows on adjacent arcs, the traffic equilibrium problem may be expressed as a variational problem. Methods for determining traffic equilibria are then adaptations of techniques for solving variational inequalities. In this paper, we present a new convex optimization formulation for the general traffic equilibrium problem, and propose a simple iterative method for calculating traffic equilibria, which essentially involves postoptimizing a linear sub-problem at each iteration. Preliminary computational results are reported.

Suggested Citation

  • Sang Nguyen & Clermont Dupuis, 1984. "An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs," Transportation Science, INFORMS, vol. 18(2), pages 185-202, May.
    • Handle: RePEc:inm:ortrsc:v:18:y:1984:i:2:p:185-202
    DOI: 10.1287/trsc.18.2.185
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