Advances in the Continuous Dynamic Network Loading Problem

Y. W. Xu, J. H. Wu, M. Florian, P. Marcotte and D. L. Zhu
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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

Transportation Science, 1999, vol. 33, issue 4, 341-353

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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:33:y:1999:i:4:p:341-353

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