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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.

Suggested Citation

  • Arnott, Richard & DePalma, Elijah, 2011. "The corridor problem: Preliminary results on the no-toll equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 743-768, June.
  • Handle: RePEc:eee:transb:v:45:y:2011:i:5:p:743-768
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, pages 251-260.
    5. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, pages 467-479.
    6. Arnott, Richard J., 1979. "Unpriced transport congestion," Journal of Economic Theory, Elsevier, vol. 21(2), pages 294-316, October.
    7. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part I: General theory," Transportation Research Part B: Methodological, Elsevier, pages 281-287.
    8. 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, pages 616-631.
    9. 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.
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    Citations

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    Cited by:

    1. Fosgerau, Mogens & de Palma, André, 2012. "Congestion in a city with a central bottleneck," Journal of Urban Economics, Elsevier, pages 269-277.
    2. Akamatsu, Takashi & Wada, Kentaro & Hayashi, Shunsuke, 2015. "The corridor problem with discrete multiple bottlenecks," Transportation Research Part B: Methodological, Elsevier, pages 808-829.
    3. Mardi Dungey & Matteo Luciani & David Veredas, 2012. "Ranking Systemically Important Financial Institutions," CAMA Working Papers 2012-47, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    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. René Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2016. "Consistency, population solidarity, and egalitarian solutions for TU-games," Theory and Decision, Springer, vol. 81(3), pages 427-447, September.
    6. Wang, David Z.W. & Du, Bo, 2016. "Continuum modelling of spatial and dynamic equilibrium in a travel corridor with heterogeneous commuters—A partial differential complementarity system approach," Transportation Research Part B: Methodological, Elsevier, pages 1-18.
    7. Wu, Wen-Xiang & Huang, Hai-Jun, 2015. "An ordinary differential equation formulation of the bottleneck model with user heterogeneity," Transportation Research Part B: Methodological, Elsevier, pages 34-58.
    8. 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.
    9. 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.
    10. 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, pages 31-44.
    11. 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.
    12. Richard J. Arnott & Anatolii Kokoza & Mehdi Naji, 2015. "A Model of Rush-Hour Traffic in an Isotropic Downtown Area," CESifo Working Paper Series 5465, CESifo Group Munich.
    13. Li, Chuan-Yao & Huang, Hai-Jun, 2017. "Morning commute in a single-entry traffic corridor with early and late arrivals," Transportation Research Part B: Methodological, Elsevier, pages 23-49.

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