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The Corridor Problem: Preliminary Results on the No-toll Equilibrium

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Author Info

  • Richard Arnott

    ()
    (Department of Economics, University of California Riverside)

  • Elijah DePalma

    ()
    (Department of Statistics, University of California, Riverside)

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 compo- nents 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 Problemâ€. Equilibria must satisfy the trip-timing condition, that at each location no vehicle can experience a lower trip price by depart- ing at a different time. This paper investigates the no-toll equilibrium of the basic Corridor Problem.

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File URL: http://economics.ucr.edu/repec/ucr/wpaper/10-03.pdf
File Function: First version, 2010
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Bibliographic Info

Paper provided by University of California at Riverside, Department of Economics in its series Working Papers with number 201003.

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Length: 38 pages
Date of creation: Jan 2010
Date of revision: Jan 2010
Handle: RePEc:ucr:wpaper:201003

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Related research

Keywords: morning commute; congestion; corridor; equilibrium;

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References

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  1. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
  2. 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.
  3. 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.
  4. 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.
  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. 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.
  8. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-79, June.
  9. Arnott, Richard J., 1979. "Unpriced transport congestion," Journal of Economic Theory, Elsevier, vol. 21(2), pages 294-316, October.
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Citations

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Cited by:
  1. Sergejs Gubins & Erik T. Verhoef, 2012. "Dynamic Congestion and Urban Equilibrium," Tinbergen Institute Discussion Papers 12-137/VIII, Tinbergen Institute.
  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. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.

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