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Bottleneck models and departure time problems

Author

Listed:
  • André de Palma

    (ENS Cachan - École normale supérieure - Cachan, Université Paris-Saclay)

  • Claude Lefèvre

    (ULB - Université libre de Bruxelles)

Abstract

This paper is concerned with the problem of departure times in dynamic bottleneck models. First, the case of a set of individual drivers is discussed through both deterministic and stochastic approaches. Then, the analysis is extended to a new model that combines small and large agents. In the stochastic setting, our focus is mainly on the model building and simulations will be carried out in a near future.

Suggested Citation

  • André de Palma & Claude Lefèvre, 2018. "Bottleneck models and departure time problems," Working Papers hal-01581519, HAL.
    • Handle: RePEc:hal:wpaper:hal-01581519
    Note: View the original document on HAL open archive server: https://hal.science/hal-01581519v2
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    References listed on IDEAS

    as
    1. Moshe Ben-Akiva & Andre de Palma & Pavlos Kanaroglou, 1986. "Dynamic Model of Peak Period Traffic Congestion with Elastic Arrival Rates," Transportation Science, INFORMS, vol. 20(3), pages 164-181, August.
    2. A. de Palma & Y. Nesterov, 2001. "Stationary Dynamic Solutions in Congested Transportation Networks: Summary and Perspectives," THEMA Working Papers 2001-19, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    3. Andre de Palma & Moshe Ben-Akiva & Claude Lefevre & Nicolaos Litinas, 1983. "Stochastic Equilibrium Model of Peak Period Traffic Congestion," Transportation Science, INFORMS, vol. 17(4), pages 430-453, November.
    4. De Palma, A. & Marchal, F., 1996. "Metropolis: un outil de simulation de trafic urbain," Papers 9621, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    5. Hugo E. Silva & Robin Lindsey & André de Palma & Vincent A. C. van den Berg, 2017. "On the Existence and Uniqueness of Equilibrium in the Bottleneck Model with Atomic Users," Transportation Science, INFORMS, vol. 51(3), pages 863-881, August.
    6. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
    7. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1993. "A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand," American Economic Review, American Economic Association, vol. 83(1), pages 161-179, March.
    8. Ben-Akiva, Moshe & de Palma, Andre & Kanaroglou, Pavlos, 1987. "Dynamic network equilibrium: Some comments," European Journal of Operational Research, Elsevier, vol. 30(3), pages 318-320, June.
    9. Zeifman, A.I., 1995. "Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes," Stochastic Processes and their Applications, Elsevier, vol. 59(1), pages 157-173, September.
    10. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    11. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    dynamic bottleneck models; congestion; equilibrium; deterministic version; stochastic approach; small and large agents; discrete choice models; stochas- tic approach;
    All these keywords.

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