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Cordon-based congestion pricing in a continuum traffic equilibrium system

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  • Ho, H.W.
  • Wong, S.C.
  • Yang, Hai
  • Loo, Becky P.Y.

Abstract

This paper presents an application of the continuum traffic equilibrium model for the cordon-based congestion pricing problem. The traffic equilibrium model treats densely spaced roads as a continuum over which commuters are continuously dispersed. Suppose in the morning peak-hour, all commuters travel to the central business district (CBD) by taking their individual shortest routes. Their user-optimal route choice behavior, with or without toll pricing, can be formulated as a calculus of variations problem and solved efficiently by the modern finite element method. By plotting the numerical results in a two-dimensional space in the form of contour lines of travel cost to the CBD, one can intuitively identify the level of congestion and the external cost anywhere in the city. Hence, the continuum model and two-dimensional numerical representation allow a traffic planner to select easily one or multiple toll cordon(s) in the city and evaluate the impact of cordon toll charges on the resultant social welfare and user benefits.

Suggested Citation

  • Ho, H.W. & Wong, S.C. & Yang, Hai & Loo, Becky P.Y., 2005. "Cordon-based congestion pricing in a continuum traffic equilibrium system," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 813-834.
  • Handle: RePEc:eee:transa:v:39:y:2005:i:7-9:p:813-834
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    References listed on IDEAS

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    1. Yang, Hai & Yagar, Sam & Iida, Yasunori, 1994. "Traffic assignment in a congested discrete/ continuous transportation system," Transportation Research Part B: Methodological, Elsevier, vol. 28(2), pages 161-174, April.
    2. Hai Yang & S. C. Wong, 2000. "A Continuous Equilibrium Model for Estimating Market Areas of Competitive Facilities with Elastic Demand and Market Externality," Transportation Science, INFORMS, vol. 34(2), pages 216-227, May.
    3. Proost, S. & Van Dender, K. & Courcelle, C. & De Borger, B. & Peirson, J. & Sharp, D. & Vickerman, R. & Gibbons, E. & O'Mahony, M. & Heaney, Q. & Van den Bergh, J. & Verhoef, E., 2002. "How large is the gap between present and efficient transport prices in Europe?," Transport Policy, Elsevier, vol. 9(1), pages 41-57, January.
    4. May, A. D. & Liu, R. & Shepherd, S. P. & Sumalee, A., 2002. "The impact of cordon design on the performance of road pricing schemes," Transport Policy, Elsevier, vol. 9(3), pages 209-220, July.
    5. Small, Kenneth A., 1992. "Using the Revenues from Congestion Pricing," University of California Transportation Center, Working Papers qt32p9m3mm, University of California Transportation Center.
    6. Zhang, Xiaoning & Yang, Hai, 2004. "The optimal cordon-based network congestion pricing problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 517-537, July.
    7. Odeck, James & BrĂ¥then, Svein, 2002. "Toll financing in Norway: The success, the failures and perspectives for the future," Transport Policy, Elsevier, vol. 9(3), pages 253-260, July.
    8. Wong, S. C., 1998. "Multi-commodity traffic assignment by continuum approximation of network flow with variable demand," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 567-581, November.
    9. Verhoef, Erik T., 2002. "Second-best congestion pricing in general networks. Heuristic algorithms for finding second-best optimal toll levels and toll points," Transportation Research Part B: Methodological, Elsevier, vol. 36(8), pages 707-729, September.
    10. Yang, Hai & Huang, Hai-Jun, 1998. "Principle of marginal-cost pricing: how does it work in a general road network?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(1), pages 45-54, January.
    11. May, A. D. & Milne, D. S., 2000. "Effects of alternative road pricing systems on network performance," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(6), pages 407-436, August.
    12. S. C. Wong & S. H. Sun, 2001. "A combined distribution and assignment model for continuous facility location problem," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 35(2), pages 267-281.
    13. Mun, Se-il & Konishi, Ko-ji & Yoshikawa, Kazuhiro, 2003. "Optimal cordon pricing," Journal of Urban Economics, Elsevier, vol. 54(1), pages 21-38, July.
    14. Yang, Hai & Huang, Hai-Jun, 2004. "The multi-class, multi-criteria traffic network equilibrium and systems optimum problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 1-15, January.
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