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Congestion Modelling

Author

Listed:
  • C. Robin Lindsey

    (University of Alberta)

  • Erik T. Verhoef

    (Vrije Universiteit Amsterdam)

Abstract
Transportation researchers have long struggled to find satisfactory ways ofdescribing and analysing traffic congestion, as evident from the large numberof often competing approaches and models that have been developed. This paperaims to provide a review of the literature on this topic. The paper startswith the modelling of homogeneous traffic flow and congestion on an isolatedroad under stationary conditions. We set up the supply-demand framework usedto characterize equilibrium and optimal travel volumes. Next, an overview ofmacroscopic and microscopic models of nonstationary traffic flow is given. Wethen describe how trip timing can be modelled, and discuss the essence ofdynamic equilibrium. The paper next reviews the principles of static anddynamic equilibrium on a road network in a deterministic environment, and thenidentifies equilibrium concepts that account for stochasticity in demand andcapacity. Finally, conceptual and practical issues regarding congestionpricing and investment on a network will be addressed.

Suggested Citation

  • C. Robin Lindsey & Erik T. Verhoef, 1999. "Congestion Modelling," Tinbergen Institute Discussion Papers 99-091/3, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:19990091
    as

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    File URL: https://papers.tinbergen.nl/99091.pdf
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    References listed on IDEAS

    as
    1. Verhoef, Erik T. & Rouwendal, Jan & Rietveld, Piet, 1999. "Congestion Caused by Speed Differences," Journal of Urban Economics, Elsevier, vol. 45(3), pages 533-556, May.
    2. Hazelton, Martin L., 1998. "Some Remarks on Stochastic User Equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 32(2), pages 101-108, February.
    3. G. F. Newell, 1988. "Traffic Flow for the Morning Commute," Transportation Science, INFORMS, vol. 22(1), pages 47-58, February.
    4. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    5. 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.
    6. Verhoef, Erik T., 1999. "Time, speeds, flows and densities in static models of road traffic congestion and congestion pricing," Regional Science and Urban Economics, Elsevier, vol. 29(3), pages 341-369, May.
    7. Glazer, Amihai & Niskanen, Esko, 2001. "Parking fees and congestion," University of California Transportation Center, Working Papers qt9h51t02k, University of California Transportation Center.
    8. Kenneth Button & Erik Verhoef (ed.), 1998. "Road Pricing, Traffic Congestion and the Environment," Books, Edward Elgar Publishing, number 940.
    9. Wie, Byung-Wook & Tobin, Roger L., 1998. "Dynamic congestion pricing models for general traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 32(5), pages 313-327, June.
    10. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    11. Daganzo, C. F. & Cassidy, M. J. & Bertini, R. L., 1999. "Possible explanations of phase transitions in highway traffic," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(5), pages 365-379, June.
    12. Small, Kenneth A., 1992. "Using the Revenues from Congestion Pricing," University of California Transportation Center, Working Papers qt32p9m3mm, University of California Transportation Center.
    13. Stella C. Dafermos, 1973. "Toll Patterns for Multiclass-User Transportation Networks," Transportation Science, INFORMS, vol. 7(3), pages 211-223, August.
    14. Richard H. M. Emmerink, 1998. "Information and Pricing in Road Transportation," Advances in Spatial Science, Springer, number 978-3-642-72143-4.
    15. 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.
    16. Verhoef, Erik & Nijkamp, Peter & Rietveld, Piet, 1996. "Second-Best Congestion Pricing: The Case of an Untolled Alternative," Journal of Urban Economics, Elsevier, vol. 40(3), pages 279-302, November.
    17. Richard Arnott & Marvin Kraus, 1995. "Self-Financing of Congestible Facilities in a Growing Economy," Boston College Working Papers in Economics 304., Boston College Department of Economics.
    18. Carlos F. Daganzo & Yosef Sheffi, 1977. "On Stochastic Models of Traffic Assignment," Transportation Science, INFORMS, vol. 11(3), pages 253-274, August.
    19. Small, Kenneth A., 2001. "Using the Revenues from Congestion Pricing," University of California Transportation Center, Working Papers qt7170x9b0, University of California Transportation Center.
    20. Cassidy, Michael J. & Bertini, Robert L., 1999. "Some traffic features at freeway bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 33(1), pages 25-42, February.
    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. Glazer, Amihai & Niskanen, Esko, 1992. "Parking fees and congestion," Regional Science and Urban Economics, Elsevier, vol. 22(1), pages 123-132, March.
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