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Congestion in a city with a central bottleneck

Author

Listed:
  • Mogens Fosgerau

    (DTU - Danmarks Tekniske Universitet = Technical University of Denmark, Centre for Transport Studies - Centre for Transport Studies, ENS Cachan - École normale supérieure - Cachan)

  • André de Palma

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, ENS Cachan - École normale supérieure - Cachan)

Abstract

We consider dynamic congestion in an urban setting where trip origins are spatially distributed. All travelers must pass through a downtown bottleneck in order to reach their destination in the CBD. Each traveler chooses departure time to maximize general concave scheduling utility. We find that, at equilibrium, travelers sort according to their distance to the destination; the queue is always unimodal regardless of the spatial distribution of trip origins. We construct a welfare maximizing tolling regime, which eliminates congestion. All travelers located beyond a critical distance from the CBD gain from tolling, even when toll revenues are not redistributed, while nearby travelers lose. We discuss our results in the context of acceptability of tolling policies.

Suggested Citation

  • Mogens Fosgerau & André de Palma, 2012. "Congestion in a city with a central bottleneck," Post-Print hal-00783803, HAL.
  • Handle: RePEc:hal:journl:hal-00783803
    DOI: 10.1016/j.jue.2011.12.002
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    References listed on IDEAS

    as
    1. Alex Anas & Richard Arnott & Kenneth A. Small, 1998. "Urban Spatial Structure," Journal of Economic Literature, American Economic Association, vol. 36(3), pages 1426-1464, September.
    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(2), pages 585-615, May.
    3. Mun, Se-il, 1999. "Peak-Load Pricing of a Bottleneck with Traffic Jam," Journal of Urban Economics, Elsevier, vol. 46(3), pages 323-349, November.
    4. Michael J. Smith, 1984. "The Existence of a Time-Dependent Equilibrium Distribution of Arrivals at a Single Bottleneck," Transportation Science, INFORMS, vol. 18(4), pages 385-394, November.
    5. Fosgerau, Mogens & Engelson, Leonid, 2011. "The value of travel time variance," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 1-8, January.
    6. 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.
    7. 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.
    8. 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.
    9. Richard Arnott & Andre de Palma & Robin Lindsey, 1993. "The Welfare Effects Of Congestion Tolls With Heterogeneous Commuters," Boston College Working Papers in Economics 231, Boston College Department of Economics.
    10. 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.
    11. Daganzo, Carlos F., 2007. "Urban gridlock: Macroscopic modeling and mitigation approaches," Transportation Research Part B: Methodological, Elsevier, vol. 41(1), pages 49-62, January.
    12. Arnott, Richard & DePalma, Elijah, 2011. "The corridor problem: Preliminary results on the no-toll equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 743-768, June.
    13. Gordon F. Newell, 1987. "The Morning Commute for Nonidentical Travelers," Transportation Science, INFORMS, vol. 21(2), pages 74-88, May.
    14. Robin Lindsey, 2004. "Existence, Uniqueness, and Trip Cost Function Properties of User Equilibrium in the Bottleneck Model with Multiple User Classes," Transportation Science, INFORMS, vol. 38(3), pages 293-314, August.
    15. van den Berg, Vincent & Verhoef, Erik T., 2011. "Winning or losing from dynamic bottleneck congestion pricing?: The distributional effects of road pricing with heterogeneity in values of time and schedule delay," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 983-992, August.
    16. Geroliminis, Nikolas & Daganzo, Carlos F., 2008. "Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 759-770, November.
    17. Chris Hendrickson & George Kocur, 1981. "Schedule Delay and Departure Time Decisions in a Deterministic Model," Transportation Science, INFORMS, vol. 15(1), pages 62-77, February.
    18. van den Berg, Vincent & Verhoef, Erik T., 2011. "Winning or losing from dynamic bottleneck congestion pricing?," Journal of Public Economics, Elsevier, vol. 95(7), pages 983-992.
    19. Masao Kuwahara, 1990. "Equilibrium Queueing Patterns at a Two-Tandem Bottleneck during the Morning Peak," Transportation Science, INFORMS, vol. 24(3), pages 217-229, August.
    20. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    21. Nikolas Geroliminis & David M. Levinson, 2009. "Cordon Pricing Consistent with the Physics of Overcrowding," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 219-240, Springer.
    22. de Palma, André & Fosgerau, Mogens, 2013. "Random queues and risk averse users," European Journal of Operational Research, Elsevier, vol. 230(2), pages 313-320.
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    More about this item

    Keywords

    Dynamic model; Toll policy; Spatial differentiation; Acceptability;
    All these keywords.

    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • R1 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics
    • R4 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics

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