IDEAS home Printed from https://ideas.repec.org/p/ucr/wpaper/201003.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: https://economics.ucr.edu/repec/ucr/wpaper/10-03.pdf
    File Function: First version, 2010
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Alex Anas & Yu Liu, 2007. "A Regional Economy, Land Use, And Transportation Model (Relu‐Tran©): Formulation, Algorithm Design, And Testing," Journal of Regional Science, Wiley Blackwell, vol. 47(3), pages 415-455, August.
    4. G. F. Newell, 1988. "Traffic Flow for the Morning Commute," Transportation Science, INFORMS, vol. 22(1), pages 47-58, February.
    5. Arnott, Richard J., 1979. "Unpriced transport congestion," Journal of Economic Theory, Elsevier, vol. 21(2), pages 294-316, October.
    6. 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.
    7. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    8. 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.
    9. 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.
    10. Yinger John, 1993. "Bumper to Bumper: A New Approach to Congestion in an Urban Model," Journal of Urban Economics, Elsevier, vol. 34(2), pages 249-274, September.
    11. 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.
    12. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    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


    Cited by:

    1. 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.
    2. 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.
    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. 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.
    5. 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.
    6. 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.
    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. repec:dgr:uvatin:20120137 is not listed on IDEAS
    9. 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.
    10. 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.
    11. 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.
    12. 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).
    13. Tsekeris, Theodore & Geroliminis, Nikolas, 2013. "City size, network structure and traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 1-14.
    14. Sergejs Gubins & Erik T. Verhoef, 2012. "Dynamic Congestion and Urban Equilibrium," Tinbergen Institute Discussion Papers 12-137/VIII, Tinbergen Institute.
    15. 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.
    16. 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).
    17. 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.
    18. 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.
    19. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Sergejs Gubins & Erik T. Verhoef, 2012. "Dynamic Congestion and Urban Equilibrium," Tinbergen Institute Discussion Papers 12-137/VIII, Tinbergen Institute.
    3. 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.
    4. 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.
    5. 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.
    6. Anas, Alex, 2012. "The optimal pricing, finance and supply of urban transportation in general equilibrium: A theoretical exposition," Economics of Transportation, Elsevier, vol. 1(1), pages 64-76.
    7. Saphores, Jean-Daniel M. & Boarnet, Marlon G., 2006. "Uncertainty and the timing of an urban congestion relief investment.: The no-land case," Journal of Urban Economics, Elsevier, vol. 59(2), pages 189-208, March.
    8. Wang, Wei (Walker) & Wang, David Z.W. & Zhang, Fangni & Sun, Huijun & Zhang, Wenyi & Wu, Jianjun, 2017. "Overcoming the Downs-Thomson Paradox by transit subsidy policies," Transportation Research Part A: Policy and Practice, Elsevier, vol. 95(C), pages 126-147.
    9. De Lara, Michel & de Palma, André & Kilani, Moez & Piperno, Serge, 2013. "Congestion pricing and long term urban form: Application to Paris region," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 282-295.
    10. Arnott, Richard & Shevyakhova, Elizaveta, 2014. "Tenancy rent control and credible commitment in maintenance," Regional Science and Urban Economics, Elsevier, vol. 47(C), pages 72-85.
    11. Takayama, Yuki, 2018. "Time-varying congestion tolling and urban spatial structure," MPRA Paper 89896, University Library of Munich, Germany.
    12. Jiang, Chenming & Bhat, Chandra R. & Lam, William H.K., 2020. "A bibliometric overview of Transportation Research Part B: Methodological in the past forty years (1979–2019)," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 268-291.
    13. C. Robin Lindsey & Erik T. Verhoef, 1999. "Congestion Modelling," Tinbergen Institute Discussion Papers 99-091/3, Tinbergen Institute.
    14. Li, Chuan-Yao & Huang, Hai-Jun, 2018. "User equilibrium of a single-entry traffic corridor with continuous scheduling preference," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 21-38.
    15. Kenneth A. Small & Xuehao Chu, 2003. "Hypercongestion," Journal of Transport Economics and Policy, University of Bath, vol. 37(3), pages 319-352, September.
    16. Lago, Alejandro & Daganzo, Carlos F., 2007. "Spillovers, merging traffic and the morning commute," Transportation Research Part B: Methodological, Elsevier, vol. 41(6), pages 670-683, July.
    17. de Palma, André & Lindsey, Robin & Monchambert, Guillaume, 2017. "The economics of crowding in rail transit," Journal of Urban Economics, Elsevier, vol. 101(C), pages 106-122.
    18. Brueckner, Jan K., 2014. "Cordon tolling in a city with congested bridges," Economics of Transportation, Elsevier, vol. 3(4), pages 235-242.
    19. B. G. Heydecker & J. D. Addison, 2005. "Analysis of Dynamic Traffic Equilibrium with Departure Time Choice," Transportation Science, INFORMS, vol. 39(1), pages 39-57, February.
    20. Wheaton, William C., 1998. "Land Use and Density in Cities with Congestion," Journal of Urban Economics, Elsevier, vol. 43(2), pages 258-272, March.

    More about this item

    Keywords

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ucr:wpaper:201003. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Kelvin Mac (email available below). General contact details of provider: https://edirc.repec.org/data/deucrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.