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Hypercongestion in downtown metropolis

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  • Fosgerau, Mogens
  • Small, Kenneth A.

Abstract

Engineering studies demonstrate that traffic in dense downtown areas obeys a stable functional relationship between average speed and density, including a region of ‘hypercongestion’, where flow decreases with density. This situation can be described as queuing behind a bottleneck whose capacity declines when the queue is large. We combine such a variable-capacity bottleneck with Vickrey scheduling preferences for the special case, where there are only two possible levels of capacity. Solving the model leads to several new insights, including that the marginal cost of adding a traveler is especially sensitive to the lowest level of capacity reached. We analyze an optimal toll, a coarse toll, and metering, showing substantial benefits from using these policies to eliminate the period of reduced capacity. Under hypercongestion, all of these policies can be designed so that travelers gain even without considering any toll revenues.

Suggested Citation

  • Fosgerau, Mogens & Small, Kenneth A., 2013. "Hypercongestion in downtown metropolis," Journal of Urban Economics, Elsevier, vol. 76(C), pages 122-134.
  • Handle: RePEc:eee:juecon:v:76:y:2013:i:c:p:122-134
    DOI: 10.1016/j.jue.2012.12.004
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    1. 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.
    2. Kenneth Button & Erik Verhoef (ed.), 1998. "Road Pricing, Traffic Congestion and the Environment," Books, Edward Elgar Publishing, number 940.
    3. 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.
    4. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    5. 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.
    6. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1990. "Economics of a bottleneck," Journal of Urban Economics, Elsevier, vol. 27(1), pages 111-130, January.
    7. Arnott, Richard, 2011. "A Bathtub Model of Traffic Congestion," University of California Transportation Center, Working Papers qt9zx130zz, University of California Transportation Center.
    8. 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.
    9. Fosgerau, Mogens, 2011. "How a fast lane may replace a congestion toll," Transportation Research Part B: Methodological, Elsevier, vol. 45(6), pages 845-851, July.
    10. Henderson, J. Vernon, 1981. "The economics of staggered work hours," Journal of Urban Economics, Elsevier, vol. 9(3), pages 349-364, May.
    11. Hani Mahmassani & Robert Herman, 1984. "Dynamic User Equilibrium Departure Time and Route Choice on Idealized Traffic Arterials," Transportation Science, INFORMS, vol. 18(4), pages 362-384, November.
    12. 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.
    13. Daganzo, Carlos F., 2007. "Urban gridlock: Macroscopic modeling and mitigation approaches," Transportation Research Part B: Methodological, Elsevier, vol. 41(1), pages 49-62, January.
    14. Yang, Hai & Hai-Jun, Huang, 1997. "Analysis of the time-varying pricing of a bottleneck with elastic demand using optimal control theory," Transportation Research Part B: Methodological, Elsevier, vol. 31(6), pages 425-440, November.
    15. Gonzales, Eric J. & Daganzo, Carlos F., 2011. "Morning Commute with Competing Modes and DistributedDemand: User Equilibrium, System Optimum, and Pricing," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt0ft1z2ps, Institute of Transportation Studies, UC Berkeley.
    16. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    17. 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.
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    More about this item

    Keywords

    Hypercongestion; Congestion; Road pricing;
    All these keywords.

    JEL classification:

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

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