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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. 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.
    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. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
    4. 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.
    5. 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.
    6. 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.
    7. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    8. 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.
    9. 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..
    10. 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.
    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;
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