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The corridor problem: Preliminary results on the no-toll equilibrium

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  • Arnott, Richard
  • DePalma, Elijah

Abstract

Consider a traffic corridor that connects a continuum of residential locations to a point central business district, and that is subject to flow congestion. The population density function along the corridor is exogenous, and except for location vehicles are identical. All vehicles travel along the corridor from home to work in the morning rush hour, and have the same work start-time but may arrive early. The two components of costs are travel time costs and schedule delay (time early) costs. Determining equilibrium and optimum traffic flow patterns for this continuous model, and possible extensions, is termed "The Corridor Problem". Equilibria must satisfy the trip-timing condition, that at each location no vehicle can experience a lower trip price by departing at a different time. This paper investigates the no-toll equilibrium of the basic Corridor Problem.

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Bibliographic Info

Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

Volume (Year): 45 (2011)
Issue (Month): 5 (June)
Pages: 743-768

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Handle: RePEc:eee:transb:v:45:y:2011:i:5:p:743-768

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Keywords: Morning commute Congestion Corridor Equilibrium;

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References

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  1. Solow, Robert M. & Vickrey, William S., 1971. "Land use in a long narrow city," Journal of Economic Theory, Elsevier, vol. 3(4), pages 430-447, December.
  2. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-79, June.
  3. DePalma, Elijah & Arnott, Richard, 2011. "Morning Commute in a Single-Entry Traffic Corridor with No Late Arrivals," University of California Transportation Center, Working Papers qt1h2604ft, University of California Transportation Center.
  4. Tian, Qiong & Huang, Hai-Jun & Yang, Hai, 2007. "Equilibrium properties of the morning peak-period commuting in a many-to-one mass transit system," Transportation Research Part B: Methodological, Elsevier, vol. 41(6), pages 616-631, July.
  5. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 281-287, August.
  6. Ross, Stephen L. & Yinger, John, 2000. "Timing Equilibria in an Urban Model with Congestion," Journal of Urban Economics, Elsevier, vol. 47(3), pages 390-413, May.
  7. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
  8. Kanemoto, Yoshitsugu, 1977. "Cost-benefit analysis and the second best land use for transportation," Journal of Urban Economics, Elsevier, vol. 4(4), pages 483-503, October.
  9. Arnott, Richard J., 1979. "Unpriced transport congestion," Journal of Economic Theory, Elsevier, vol. 21(2), pages 294-316, October.
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Cited by:
  1. Adriaan Hendrik van der Weijde & Erik T. Verhoef & Vincent van den Berg, 2012. "Competition in Multi-Modal Transport Networks: A Dynamic Approach," Tinbergen Institute Discussion Papers 12-116/VIII, Tinbergen Institute.
  2. Gubins, Sergejs & Verhoef, Erik T., 2014. "Dynamic bottleneck congestion and residential land use in the monocentric city," Journal of Urban Economics, Elsevier, vol. 80(C), pages 51-61.
  3. Fosgerau, Mogens & de Palma, André, 2012. "Congestion in a city with a central bottleneck," Journal of Urban Economics, Elsevier, vol. 71(3), pages 269-277.
  4. Tsekeris, Theodore & Geroliminis, Nikolas, 2013. "City size, network structure and traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 1-14.
  5. Zhao, Hui & Yan, Xuedong & Gao, Ziyou, 2013. "Transportation serviceability analysis for metropolitan commuting corridors based on modal choice modeling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 49(C), pages 270-284.
  6. DePalma, Elijah & Arnott, Richard, 2011. "Morning Commute in a Single-Entry Traffic Corridor with No Late Arrivals," University of California Transportation Center, Working Papers qt1h2604ft, University of California Transportation Center.
  7. van der Weijde, Adriaan Hendrik & Verhoef, Erik T. & van den Berg, Vincent A.C., 2013. "Competition in multi-modal transport networks: A dynamic approach," Transportation Research Part B: Methodological, Elsevier, vol. 53(C), pages 31-44.

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