Advanced Search
MyIDEAS: Login to save this paper or follow this series

Congestion costs in bottleneck equilibrium with stochastic capacity and demand

Contents:

Author Info

  • Fosgerau, Mogens

Abstract

I analyse congestion costs in the Vickrey bottleneck model of a congestible facility with a peak load in demand. The shape of the peak is endogenous, being the sum of individual scheduling decisions. Capacity and demand are random, which introduces uncertainty into the individual scheduling choices. These are essential features of actual peak loads. Based on work by Arnott, de Palma and Lindsey, I derive the expected marginal and total congestion costs and compare to the case with fixed capacity and demand. Using stylised values for scheduling costs relative to the value of time, I find that randomness of capacity and demand increases congestions cost by up to 50 percent relative to the deterministic case. The bound is general for any distribution of random capacity and demand.

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://mpra.ub.uni-muenchen.de/10040/
File Function: original version
Download Restriction: no

Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 10040.

as in new window
Length:
Date of creation: 2008
Date of revision:
Handle: RePEc:pra:mprapa:10040

Contact details of provider:
Postal: Schackstr. 4, D-80539 Munich, Germany
Phone: +49-(0)89-2180-2219
Fax: +49-(0)89-2180-3900
Web page: http://mpra.ub.uni-muenchen.de
More information through EDIRC

Related research

Keywords: Bottleneck model; Scheduling; Reliability; Congestion;

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. 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 161-79, March.
  2. R. Arnott & A. de Palma & R. Lindsey, 1997. "Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand," THEMA Working Papers 97-13, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  3. Fosgerau, Mogens & Karlström, Anders, 2010. "The value of reliability," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 38-49, January.
  4. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
  5. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-79, June.
  6. Anas, Alex & Rhee, Hyok-Joo, 2007. "When are urban growth boundaries not second-best policies to congestion tolls?," Journal of Urban Economics, Elsevier, vol. 61(2), pages 263-286, March.
  7. Daniel, Joseph I, 1995. "Congestion Pricing and Capacity of Large Hub Airports: A Bottleneck Model with Stochastic Queues," Econometrica, Econometric Society, vol. 63(2), pages 327-70, March.
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. repec:dgr:uvatin:2010073 is not listed on IDEAS
  2. Fosgerau, Mogens, 2008. "On the relation between the mean and variance of delay in dynamic queues with random capacity and demand," MPRA Paper 11994, University Library of Munich, Germany.

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:pra:mprapa:10040. 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: (Ekkehart Schlicht).

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.