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

Author

Listed:
  • 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 Problem". 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.

Suggested Citation

  • Richard Arnott & Elijah DePalma, 2010. "The Corridor Problem: Preliminary Results on the No-toll Equilibrium," Working Papers 201003, University of California at Riverside, Department of Economics, revised Jan 2010.
    • Handle: RePEc:ucr:wpaper:201003
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    References listed on IDEAS

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    Cited by:

    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. 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. Akamatsu, Takashi & Wada, Kentaro & Hayashi, Shunsuke, 2015. "The corridor problem with discrete multiple bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 808-829.
    4. Sakai, Takara & Akamatsu, Takashi & Satsukawa, Koki, 2024. "Queue replacement principle for corridor problems with heterogeneous commuters," Transportation Research Part B: Methodological, Elsevier, vol. 187(C).
    5. Tian, Qiong & Liu, Peng & Ong, Ghim Ping & Huang, Hai-Jun, 2021. "Morning commuting pattern and crowding pricing in a many-to-one public transit system with heterogeneous users," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    6. 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.
    7. Li, Zhi-Chun & Huang, Hai-Jun & Yang, Hai, 2020. "Fifty years of the bottleneck model: A bibliometric review and future research directions," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 311-342.
    8. Tsekeris, Theodore & Geroliminis, Nikolas, 2013. "City size, network structure and traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 1-14.
    9. Fu, Haoran & Akamatsu, Takashi & Satsukawa, Koki & Wada, Kentaro, 2022. "Dynamic traffic assignment in a corridor network: Optimum versus equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 218-246.
    10. Sergejs Gubins & Erik T. Verhoef, 2012. "Dynamic Congestion and Urban Equilibrium," Tinbergen Institute Discussion Papers 12-137/VIII, Tinbergen Institute.
    11. 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, vol. 85(C), pages 1-18.
    12. Osawa, Minoru & Fu, Haoran & Akamatsu, Takashi, 2018. "First-best dynamic assignment of commuters with endogenous heterogeneities in a corridor network," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 811-831.
    13. 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.
    14. 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.
    15. Fosgerau, Mogens & Kim, Jinwon & Ranjan, Abhishek, 2018. "Vickrey meets Alonso: Commute scheduling and congestion in a monocentric city," Journal of Urban Economics, Elsevier, vol. 105(C), pages 40-53.
    16. 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, vol. 97(C), pages 23-49.
    17. 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.
    18. 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, vol. 81(P1), pages 34-58.

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    Keywords

    morning commute; congestion; corridor; equilibrium;
    All these keywords.

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