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Stable Dynamics in Transportation Systems

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  • A. de Palma
  • Y. Nesterova

Abstract

We present a new class of transportation systems, the stable dynamics models, which provides a natural link between the static and dynamic trafic network models. They can be seen as steady states of dynamic networks (flows are constant in time). These models turn out to be very easy to study analytically for simple networks. Moreover, they can be extended for large networks, for which efficient (and standard)algorithms to solve for equilibrium can be derived. We also present a formulation for the endogenous origin-destination case. Finally, this class of models leads to very natural and simple calibration methods.
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Suggested Citation

  • A. de Palma & Y. Nesterova, 2000. "Stable Dynamics in Transportation Systems," THEMA Working Papers 2000-18, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2000-18
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    References listed on IDEAS

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    1. A. de Palma & Y. Nesterov, 1997. "Optimization formulations and static equilibrium in congested transportation networks," THEMA Working Papers 97-17, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. Smith, M. J., 1979. "The existence, uniqueness and stability of traffic equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 13(4), pages 295-304, December.
    3. NESTEROV, Yurii, 1999. "Stable flows in transportation networks," LIDAM Discussion Papers CORE 1999007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Ouorou, A. & Mahey, P. & Vial, P.PH., 1997. "A Survey of Algorithms for Convex Multicommodity Flow Problems," Papers 97.13, Ecole des Hautes Etudes Commerciales, Universite de Geneve-.
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    Cited by:

    1. NESTEROV, Yu., 2003. "Characteristic functions of directed graphs and applications to stochastic equilibrium problems," LIDAM Discussion Papers CORE 2003013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Bliemer, Michiel C.J. & Raadsen, Mark P.H. & Smits, Erik-Sander & Zhou, Bojian & Bell, Michael G.H., 2014. "Quasi-dynamic traffic assignment with residual point queues incorporating a first order node model," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 363-384.
    3. A. de Palma & Y. Nesterov, 2001. "Park and Ride for the Morning and Evening Commute," THEMA Working Papers 2001-16, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

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