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A New Look at the Multiclass Network Equilibrium Problem

Author

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  • Patrice Marcotte

    (DIRO, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, Canada H3C 3J7)

  • Laura Wynter

    (IBM Research, P.O. Box 704, Yorktown Heights, New York 10598)

Abstract

The multiclass network equilibrium problem is expressed in general as a nonmonotone, asymmetric, variational inequality problem. We show that in spite of the nonmonotonicity of the cost operator, the problem may actually satisfy a weaker property, induced by the hierarchical nature of the travel cost interactions. This property allows a natural decomposition approach, not otherwise available, that admits provably convergent algorithms. We present one such algorithm, easily implementable using a solver for the single-class network equilibrium problem, together with a convergence proof.

Suggested Citation

  • Patrice Marcotte & Laura Wynter, 2004. "A New Look at the Multiclass Network Equilibrium Problem," Transportation Science, INFORMS, vol. 38(3), pages 282-292, August.
    • Handle: RePEc:inm:ortrsc:v:38:y:2004:i:3:p:282-292
    DOI: 10.1287/trsc.1030.0039
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    References listed on IDEAS

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