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Dynamic and Static congestion models: A review

Author

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  • André De Palma

    (ENS Cachan - École normale supérieure - Cachan, Department of Economics, Ecole Polytechnique - X - École polytechnique - CNRS - Centre National de la Recherche Scientifique)

  • Mogens Fosgerau

    (DTU Transport - University of Denmark - Department of Transport)

Abstract

We begin by providing an overview of the conventional static equilibrium approach. In such model both the flow of trips and congestion delay are assumed to be constant. A drawback of the static model is that the time interval during which travel occurs is not specified so that the model cannot describe changes in the duration of congestion that result from changes in demand or capacity. This limitation is overcome in the Vickrey/Arnott, de Palma Lindsey bottleneck model, which combines congestion in the form of queuing behind a bottleneck with users' trip-timing preferences and departure time decisions. We derive the user equilibrium and social optimum for the basic bottleneck model, and explain how the optimum can be decentralized using a time-varying toll. They then review some extensions of the basic model that encompass elastic demand, user heterogeneity, stochastic demand and capacity and small networks. We conclude by identifying some unresolved modelling issues that apply not only to the bottleneck model but to trip-timing preferences and congestion dynamics in general

Suggested Citation

  • André De Palma & Mogens Fosgerau, 2010. "Dynamic and Static congestion models: A review," Working Papers hal-00539166, HAL.
  • Handle: RePEc:hal:wpaper:hal-00539166
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00539166
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    References listed on IDEAS

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    1. Lindsey, Robin, 2009. "Cost recovery from congestion tolls with random capacity and demand," Journal of Urban Economics, Elsevier, vol. 66(1), pages 16-24, July.
    2. Henderson, J. Vernon, 1981. "The economics of staggered work hours," Journal of Urban Economics, Elsevier, vol. 9(3), pages 349-364, May.
    3. Fosgerau, Mogens, 2010. "On the relation between the mean and variance of delay in dynamic queues with random capacity and demand," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 598-603, April.
    4. Robert E. Hall, 1989. "Temporal Agglomeration," NBER Working Papers 3143, National Bureau of Economic Research, Inc.
    5. Aguirregabiria, Victor & Mira, Pedro, 2010. "Dynamic discrete choice structural models: A survey," Journal of Econometrics, Elsevier, vol. 156(1), pages 38-67, May.
    6. Xiaoning Zhang & H. Zhang, 2010. "Simultaneous Departure Time/Route Choices in Queuing Networks and a Novel Paradox," Networks and Spatial Economics, Springer, vol. 10(1), pages 93-112, March.
    7. Laih, Chen-Hsiu, 1994. "Queueing at a bottleneck with single- and multi-step tolls," Transportation Research Part A: Policy and Practice, Elsevier, vol. 28(3), pages 197-208, May.
    8. de Palma, André & Lindsey, Robin & Proost, Stef, 2007. "Chapter 1 Investment and the use of tax and toll revenues in the transport sector: The research agenda," Research in Transportation Economics, Elsevier, vol. 19(1), pages 1-26, January.
    9. Fosgerau, Mogens & Engelson, Leonid, 2011. "The value of travel time variance," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 1-8, January.
    10. Fosgerau, Mogens, 2009. "The marginal social cost of headway for a scheduled service," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 813-820, September.
    11. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1999. "Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand," European Economic Review, Elsevier, vol. 43(3), pages 525-548, March.
    12. Tseng, Yin-Yen & Verhoef, Erik T., 2008. "Value of time by time of day: A stated-preference study," Transportation Research Part B: Methodological, Elsevier, vol. 42(7-8), pages 607-618, August.
    13. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1991. "A temporal and spatial equilibrium analysis of commuter parking," Journal of Public Economics, Elsevier, vol. 45(3), pages 301-335, August.
    14. Richard Arnott & André de Palma & Robin Lindsey, 1993. "Properties of Dynamic Traffic Equilibrium Involving Bottlenecks, Including a Paradox and Metering," Transportation Science, INFORMS, vol. 27(2), pages 148-160, May.
    15. 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.
    16. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1990. "Economics of a bottleneck," Journal of Urban Economics, Elsevier, vol. 27(1), pages 111-130, January.
    17. Fosgerau, Mogens & Karlström, Anders, 2010. "The value of reliability," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 38-49, January.
    18. Fosgerau, Mogens, 2006. "Investigating the distribution of the value of travel time savings," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 688-707, September.
    19. Henderson, J. V., 1974. "Road congestion : A reconsideration of pricing theory," Journal of Urban Economics, Elsevier, vol. 1(3), pages 346-365, July.
    20. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    21. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    22. Arnott, Richard & Rowse, John, 2009. "Downtown parking in auto city," Regional Science and Urban Economics, Elsevier, vol. 39(1), pages 1-14, January.
    23. Erik T. Verhoef & Herbert Mohring, 2007. "Self-Financing Roads," Tinbergen Institute Discussion Papers 07-068/3, Tinbergen Institute.
    24. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    25. Shen, Wei & Zhang, H.M., 2010. "Pareto-improving ramp metering strategies for reducing congestion in the morning commute," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(9), pages 676-696, November.
    26. Chen-Hsiu Laih, 2004. "Effects of the optimal step toll scheme on equilibrium commuter behaviour," Applied Economics, Taylor & Francis Journals, vol. 36(1), pages 59-81.
    27. Wilson, Paul W., 1988. "Wage variation resulting from staggered work hours," Journal of Urban Economics, Elsevier, vol. 24(1), pages 9-26, July.
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    Citations

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    Cited by:

    1. de Palma, André & Fosgerau, Mogens, 2013. "Random queues and risk averse users," European Journal of Operational Research, Elsevier, vol. 230(2), pages 313-320.
    2. Mogens Fosgerau & Kenneth Small, 2017. "Endogenous Scheduling Preferences And Congestion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58, pages 585-615, May.
    3. Leonid Engelson & Ida Kristoffersson & Mohammad Saifuzzaman & André De Palma & Kiarash Motamedi, 2013. "Comparison of two dynamic transportation models: The case of Stockholm congestion charging," Working Papers hal-00779285, HAL.

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