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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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    Cited by:

    1. Danczyk, Adam & Di, Xuan & Liu, Henry X. & Levinson, David M., 2017. "Unexpected versus expected network disruption: Effects on travel behavior," Transport Policy, Elsevier, vol. 57(C), pages 68-78.
    2. André De Palma & Moez Kilani & Michel De Lara & Serge Piperno, 2011. "Cordon pricing in the Monocentric city model: Theory and application to Ile-de- France," Post-Print hal-00348437, HAL.
    3. Holguín-Veras, José, 2011. "Urban delivery industry response to cordon pricing, time-distance pricing, and carrier-receiver policies in competitive markets," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(8), pages 802-824, October.
    4. André De Palma & Moez Kilani & Michel De Lara & Serge Piperno, 2011. "Cordon pricing in the monocentric city: theory and application to Paris region," Recherches économiques de Louvain, De Boeck Université, vol. 77(2), pages 105-124.
    5. Chandra Balijepalli & Simon Shepherd, 2016. "Cordon tolls and competition between cities with symmetric and asymmetric interactions," Transportation, Springer, vol. 43(5), pages 797-821, September.
    6. Karakaya, Emrah, 2016. "Finite Element Method for forecasting the diffusion of photovoltaic systems: Why and how?," Applied Energy, Elsevier, pages 464-475.
    7. Meng, Qiang & Liu, Zhiyuan & Wang, Shuaian, 2012. "Optimal distance tolls under congestion pricing and continuously distributed value of time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(5), pages 937-957.
    8. Holgui­n-Veras, Jose & Cetin, Mecit & Xia, Shuwen, 2006. "A comparative analysis of US toll policy," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(10), pages 852-871, December.
    9. Brueckner, Jan K., 2014. "Cordon tolling in a city with congested bridges," Economics of Transportation, Elsevier, vol. 3(4), pages 235-242.
    10. Liu, Tian-Liang & Huang, Hai-Jun & Yang, Hai & Zhang, Xiaoning, 2009. "Continuum modeling of park-and-ride services in a linear monocentric city with deterministic mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 692-707, July.
    11. Huang, Ling & Wong, S.C. & Zhang, Mengping & Shu, Chi-Wang & Lam, William H.K., 2009. "Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 127-141, January.
    12. Ho, H.W. & Wong, S.C. & Loo, Becky P.Y., 2006. "Combined distribution and assignment model for a continuum traffic equilibrium problem with multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 633-650, September.
    13. repec:eee:retrec:v:62:y:2017:i:c:p:68-79 is not listed on IDEAS
    14. Ahmadi Azari, Kian & Arintono, Sulistyo & Hamid, Hussain & Rahmat, Riza Atiq O.K., 2013. "Modelling demand under parking and cordon pricing policy," Transport Policy, Elsevier, vol. 25(C), pages 1-9.
    15. Shepherd, Simon & Balijepalli, Chandra, 2015. "A game of two cities: A toll setting game with experimental results," Transport Policy, Elsevier, vol. 38(C), pages 95-109.
    16. Zhi-Chun Li & Ya-Dong Wang & William Lam & Agachai Sumalee & Keechoo Choi, 2014. "Design of Sustainable Cordon Toll Pricing Schemes in a Monocentric City," Networks and Spatial Economics, Springer, vol. 14(2), pages 133-158, June.
    17. Maruyama, Takuya & Sumalee, Agachai, 2007. "Efficiency and equity comparison of cordon- and area-based road pricing schemes using a trip-chain equilibrium model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(7), pages 655-671, August.
    18. Holgun-Veras, Jos & Cetin, Mecit, 2009. "Optimal tolls for multi-class traffic: Analytical formulations and policy implications," Transportation Research Part A: Policy and Practice, Elsevier, vol. 43(4), pages 445-467, May.
    19. Jiang, Yanqun & Wong, S.C. & Ho, H.W. & Zhang, Peng & Liu, Ruxun & Sumalee, Agachai, 2011. "A dynamic traffic assignment model for a continuum transportation system," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 343-363, February.

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