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Advances in the Continuous Dynamic Network Loading Problem

Author

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  • Y. W. Xu

    (Center for Research on Transportation, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, Quebec H3C 3J7, Canada)

  • J. H. Wu

    (Center for Research on Transportation, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, Quebec H3C 3J7, Canada)

  • M. Florian

    (Center for Research on Transportation, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, Quebec H3C 3J7, Canada)

  • P. Marcotte

    (Center for Research on Transportation, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, Quebec H3C 3J7, Canada)

  • D. L. Zhu

    (Center for Research on Transportation, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, Quebec H3C 3J7, Canada)

Abstract

The continuous dynamic network loading problem (CDNLP) consists in determining, on a congested network, time-dependent arc volumes, together with arc and path travel times, given the time-varying path flow departue rates over a finite time horizon. This problem constitutes an intrinsic part of the dynamic traffic assignment problem. In this paper, we present a formulation of the CDNLP where travel delays may be nonlinear functions of arc traffic volumes. We prove, under a boundedness condition, that there exists a unique solution to the problem and propose for its solution a finite-step algorithm. Some computational results are reported for a discretized version of the algorithm.

Suggested Citation

  • Y. W. Xu & J. H. Wu & M. Florian & P. Marcotte & D. L. Zhu, 1999. "Advances in the Continuous Dynamic Network Loading Problem," Transportation Science, INFORMS, vol. 33(4), pages 341-353, November.
    • Handle: RePEc:inm:ortrsc:v:33:y:1999:i:4:p:341-353
    DOI: 10.1287/trsc.33.4.341
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    References listed on IDEAS

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