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Dynamic System Optimal Routing In Multimodal Transit Network


  • Tai-Yu Ma

    () (LET - Laboratoire d'économie des transports - UL2 - Université Lumière - Lyon 2 - ENTPE - École Nationale des Travaux Publics de l'État - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Patrick Lebacque

    () (IFSTTAR/GRETTIA - Génie des Réseaux de Transport Terrestres et Informatique Avancée - IFSTTAR - Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux - UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12)


The system optimal routing problem has been widely studied for road network while it is less considered for public transit system. Traditional shortest-path-based multimodal itinerary guidance systems may deteriorate the system performance when the assigned lines become congested. For this issue, we formulate the dynamic system optimal routing model for multimodal transit system. The transit system is represented by a multilevel graph to explicitly simulate passenger flow and transit system operations. A solution algorithm based on the cross entropy method is proposed, and its performance is compared with the method of successive averages in static and dynamic cases. Numerical study on a simple multimodal transit network provides the basis for comparing the system optimal routing and user optimal routing under different congestion levels.

Suggested Citation

  • Tai-Yu Ma & Jean-Patrick Lebacque, 2012. "Dynamic System Optimal Routing In Multimodal Transit Network," Working Papers hal-00740347, HAL.
  • Handle: RePEc:hal:wpaper:hal-00740347
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    References listed on IDEAS

    1. Tong, C. O. & Wong, S. C., 2000. "A predictive dynamic traffic assignment model in congested capacity-constrained road networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 625-644, November.
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    system optimal routing; multimodal; transit;

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