Advanced Search
MyIDEAS: Login

Speed-Flow Relations and Cost Functions for Congested Traffic: Theory and Empirical Analysis

Contents:

Author Info

  • Erik T. Verhoef

    ()
    (Faculty of Economic and Business Administration, Vrije Universiteit Amsterdam)

Abstract

A dynamic 'car-following' extension of the conventional economic model of traffic congestion is presented, which predicts the average cost function for trips in stationary states to be significantly different from the conventional average cost function derived from the speed-flow function. When applied to a homogeneous road, the model reproduces the same stationary state equilibria as the conventional model, including the hypercongested ones. However, stability analysis shows that the latter are dynamically unstable. The average cost function for stationary state traffic coincides with the conventional function for non-hypercongested traffic, but rises vertically at the road's capacity due to queuing, instead of bending backwards. When extending the model to include an upstream road segment, it predicts that such queuing will occur under hypercongested conditions, while the general shape of the average cost function for full trips does not change, implying that hypercongestion will not occur on the downstream road segment. These qualitative predictions are verified empirically using traffic data from a Dutch bottleneck.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://papers.tinbergen.nl/03064.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 03-064/3.

as in new window
Length:
Date of creation: 06 Aug 2003
Date of revision: 31 Oct 2003
Handle: RePEc:dgr:uvatin:20030064

Contact details of provider:
Web page: http://www.tinbergen.nl

Related research

Keywords: Traffic congestion; Road pricing; Car-following theory; Speed-flow relations; Cost functions;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Mun, Se-il, 1999. "Peak-Load Pricing of a Bottleneck with Traffic Jam," Journal of Urban Economics, Elsevier, vol. 46(3), pages 323-349, November.
  2. Verhoef, Erik Teodoor, 2002. "Inside the queue: hypercongestion and road pricing in a continuous time - continuous place model of traffic congestion," ERSA conference papers ersa02p068, European Regional Science Association.
  3. Smith, W. Spencer & Hall, Fred L. & Montgomery, Frank O., 1996. "Comparing the speed-flow relationship for motorways with new data from the M6," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(2), pages 89-101, March.
  4. Hiroshi Ohta, 2001. "Probing a Traffic Congestion Controversy: Response to Comment," Journal of Regional Science, Wiley Blackwell, vol. 41(4), pages 695-699.
  5. Small, Kenneth A. & Gomez-Ibanez, Jose A., 1999. "Urban transportation," Handbook of Regional and Urban Economics, in: P. C. Cheshire & E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 3, chapter 46, pages 1937-1999 Elsevier.
  6. Verhoef, Erik T., 2001. "An Integrated Dynamic Model of Road Traffic Congestion Based on Simple Car-Following Theory: Exploring Hypercongestion," Journal of Urban Economics, Elsevier, vol. 49(3), pages 505-542, May.
  7. De Meza, David & Gould, J R, 1987. "Free Access versus Private Property in a Resource: Income Distributions Compared," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1317-25, December.
  8. Erik T. Verhoef, 2001. "Probing A Traffic Congestion Controversy: A Comment," Journal of Regional Science, Wiley Blackwell, vol. 41(4), pages 681-694.
  9. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
  10. Erik T. Verhoef, 2002. "Inside the Queue," Tinbergen Institute Discussion Papers 02-062/3, Tinbergen Institute, revised 27 May 2003.
  11. Evans, Alan W, 1992. "Road Congestion: The Diagrammatic Analysis: Comment," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 211-17, February.
  12. Hiroshi Ohta, 2001. "Probing A Traffic Congestion Controversy: Density and Flow Scrutinized," Journal of Regional Science, Wiley Blackwell, vol. 41(4), pages 659-680.
  13. Chu Xuehao, 1995. "Endogenous Trip Scheduling: The Henderson Approach Reformulated and Compared with the Vickrey Approach," Journal of Urban Economics, Elsevier, vol. 37(3), pages 324-343, May.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Richard Arnott & Eren Inci, 2008. "The Stability Of Downtown Parking And Traffic Congestion," Working Papers 200813, University of California at Riverside, Department of Economics, revised Nov 2008.
  2. Tsekeris, Theodore & Geroliminis, Nikolas, 2013. "City size, network structure and traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 1-14.
  3. 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.
  4. 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.
  5. 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.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:dgr:uvatin:20030064. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Antoine Maartens (+31 626 - 160 892)).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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