[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/a/eee/transa/v39y2005i7-9p813-834.html
   My bibliography  Save this article

Cordon-based congestion pricing in a continuum traffic equilibrium system

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0965-8564(05)00050-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. de Palma, André & Kilani, Moez & Lindsey, Robin, 2005. "Congestion pricing on a road network: A study using the dynamic equilibrium simulator METROPOLIS," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 588-611.
    3. 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.
    4. Mun, Se-il & Konishi, Ko-ji & Yoshikawa, Kazuhiro, 2005. "Optimal cordon pricing in a non-monocentric city," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 723-736.
    5. Sheu, Jiuh-Biing & Yang, Hai, 2008. "An integrated toll and ramp control methodology for dynamic freeway congestion management," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4327-4348.
    6. Azari, Kian Ahmadi & Arintono, Sulistyo & Hamid, Hussain & Davoodi, Seyed Rasoul, 2013. "Evaluation of demand for different trip purposes under various congestion pricing scenarios," Journal of Transport Geography, Elsevier, vol. 29(C), pages 43-51.
    7. Karakaya, Emrah, 2014. "Finite Element Model of the Innovation Diffusion: An Application to Photovoltaic Systems," INDEK Working Paper Series 2014/6, Royal Institute of Technology, Department of Industrial Economics and Management.
    8. 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.
    9. Sumalee, Agachai & May, Tony & Shepherd, Simon, 2005. "Comparison of judgmental and optimal road pricing cordons," Transport Policy, Elsevier, vol. 12(5), pages 384-390, September.
    10. Karakaya, Emrah, 2016. "Finite Element Method for forecasting the diffusion of photovoltaic systems: Why and how?," Applied Energy, Elsevier, vol. 163(C), pages 464-475.
    11. Gentile, Guido & Papola, Natale & Persia, Luca, 2005. "Advanced pricing and rationing policies for large scale multimodal networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 612-631.
    12. He, Brian Yueshuai & Zhou, Jinkai & Ma, Ziyi & Wang, Ding & Sha, Di & Lee, Mina & Chow, Joseph Y.J. & Ozbay, Kaan, 2021. "A validated multi-agent simulation test bed to evaluate congestion pricing policies on population segments by time-of-day in New York City," Transport Policy, Elsevier, vol. 101(C), pages 145-161.
    13. Ian W.H. Parry, 2009. "Pricing Urban Congestion," Annual Review of Resource Economics, Annual Reviews, vol. 1(1), pages 461-484, September.
    14. Tikoudis, Ioannis, 2023. "Revisiting the Pigouvian tax in urban roads: Housing supply restrictions, leaking profits and spatial inequality," Economics of Transportation, Elsevier, vol. 35(C).
    15. Wang, Zhaodong & Xie, Siyang & Ouyang, Yanfeng, 2022. "Planning reliable service facility location against disruption risks and last-mile congestion in a continuous space," Transportation Research Part B: Methodological, Elsevier, vol. 165(C), pages 123-140.
    16. 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.
    17. Jonathan Leape, 2006. "The London Congestion Charge," Journal of Economic Perspectives, American Economic Association, vol. 20(4), pages 157-176, Fall.
    18. Welch, Timothy F. & Mishra, Sabyasachee, 2014. "A framework for determining road pricing revenue use and its welfare effects," Research in Transportation Economics, Elsevier, vol. 44(C), pages 61-70.
    19. 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.
    20. Ouyang, Yanfeng & Wang, Zhaodong & Yang, Hai, 2015. "Facility location design under continuous traffic equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 18-33.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transa:v:39:y:2005:i:7-9:p:813-834. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/547/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.