IDEAS home Printed from https://ideas.repec.org/p/ema/worpap/2020-12.html
   My bibliography  Save this paper

Influence of Dynamic Congestion on Carpooling Matching

Author

Listed:
  • André de Palma
  • Patrick Stokkink
  • Nikolas Geroliminis

    (Université de Cergy-Pontoise, THEMA)

Abstract

Carpooling is an efficient measure to fight car ownership and reduce vehicle kilometers travelled. By sharing their commutes, vehicle occupancy increases and congestion is reduced. We develop a dynamic ADL (Arnott, de Palma, Lindsey)-Vickrey approach for a corridor monocentric city à la Hotelling. First, we formulate the matching problem of heterogeneous users in carpooling as an MILP problem and we discuss its analytical properties. Next, we construct a bi-level optimization problem involving matching (first stage) and dynamic traffic congestion (second stage). We provide a heuristic to attain an optimal matching for a dynamic traffic equilibrium with congestion. Such a template allows studying the two-way causality between dynamic congestion and carpooling matching.

Suggested Citation

  • André de Palma & Patrick Stokkink & Nikolas Geroliminis, 2020. "Influence of Dynamic Congestion on Carpooling Matching," THEMA Working Papers 2020-12, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2020-12
    as

    Download full text from publisher

    File URL: http://thema.u-cergy.fr/IMG/pdf/2020-12.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Palma, André de & Lindsey, Robin & Picard, Nathalie, 2015. "Trip-timing decisions and congestion with household scheduling preferences," Economics of Transportation, Elsevier, vol. 4(1), pages 118-131.
    2. Zenou,Yves, 2009. "Urban Labor Economics," Cambridge Books, Cambridge University Press, number 9780521698221.
    3. de Palma, Andre & Picard, Nathalie & Waddell, Paul, 2007. "Discrete choice models with capacity constraints: An empirical analysis of the housing market of the greater Paris region," Journal of Urban Economics, Elsevier, vol. 62(2), pages 204-230, September.
    4. Xing Wang & Niels Agatz & Alan Erera, 2018. "Stable Matching for Dynamic Ride-Sharing Systems," Transportation Science, INFORMS, vol. 52(4), pages 850-867, August.
    5. Masoud, Neda & Jayakrishnan, R., 2017. "A decomposition algorithm to solve the multi-hop Peer-to-Peer ride-matching problem," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 1-29.
    6. Fleura Bardhi & Giana M. Eckhardt, 2012. "Access-Based Consumption: The Case of Car Sharing," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 39(4), pages 881-898.
    7. Duranton, Gilles & Puga, Diego, 2004. "Micro-foundations of urban agglomeration economies," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 48, pages 2063-2117, Elsevier.
    8. Kyle Bagwell & Garey Ramey, 1992. "The Diamond Paradox: A Dynamic Resolution," Discussion Papers 1013, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Lindsey, Robin & de Palma, André & Silva, Hugo E., 2019. "Equilibrium in a dynamic model of congestion with large and small users," Transportation Research Part B: Methodological, Elsevier, vol. 124(C), pages 82-107.
    10. Pierre-André Chiappori & Sonia Oreffice & Climent Quintana-Domeque, 2012. "Fatter Attraction: Anthropometric and Socioeconomic Matching on the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 120(4), pages 659-695.
    11. Stoll, Michael A., 1999. "Spatial Job Search, Spatial Mismatch, and the Employment and Wages of Racial and Ethnic Groups in Los Angeles," Journal of Urban Economics, Elsevier, vol. 46(1), pages 129-155, July.
    12. 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.
    13. Long He & Ho-Yin Mak & Ying Rong & Zuo-Jun Max Shen, 2017. "Service Region Design for Urban Electric Vehicle Sharing Systems," Manufacturing & Service Operations Management, INFORMS, vol. 19(2), pages 309-327, May.
    14. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1993. "A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand," American Economic Review, American Economic Association, vol. 83(1), pages 161-179, March.
    15. Agatz, Niels & Erera, Alan & Savelsbergh, Martin & Wang, Xing, 2012. "Optimization for dynamic ride-sharing: A review," European Journal of Operational Research, Elsevier, vol. 223(2), pages 295-303.
    16. Oren Bahat & Shlomo Bekhor, 2016. "Incorporating Ridesharing in the Static Traffic Assignment Model," Networks and Spatial Economics, Springer, vol. 16(4), pages 1125-1149, December.
    17. Fu, Miao & Andrew Kelly, J. & Peter Clinch, J. & King, Fearghal, 2012. "Environmental policy implications of working from home: Modelling the impacts of land-use, infrastructure and socio-demographics," Energy Policy, Elsevier, vol. 47(C), pages 416-423.
    18. Browning,Martin & Chiappori,Pierre-André & Weiss,Yoram, 2014. "Economics of the Family," Cambridge Books, Cambridge University Press, number 9780521795395.
    19. Boyacı, Burak & Zografos, Konstantinos G. & Geroliminis, Nikolas, 2015. "An optimization framework for the development of efficient one-way car-sharing systems," European Journal of Operational Research, Elsevier, vol. 240(3), pages 718-733.
    20. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1990. "Economics of a bottleneck," Journal of Urban Economics, Elsevier, vol. 27(1), pages 111-130, January.
    21. Shaheen, Susan A & Mallery, Mark A & Kingsley, Karla J, 2012. "Personal vehicle sharing services in North America," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt5tg7x5z0, Institute of Transportation Studies, UC Berkeley.
    22. Yang, Hai & Shao, Chaoyi & Wang, Hai & Ye, Jieping, 2020. "Integrated reward scheme and surge pricing in a ridesourcing market," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 126-142.
    23. Bento, Antonio M. & Hughes, Jonathan E. & Kaffine, Daniel, 2013. "Carpooling and driver responses to fuel price changes: Evidence from traffic flows in Los Angeles," Journal of Urban Economics, Elsevier, vol. 77(C), pages 41-56.
    24. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    25. Smith, M. J., 1993. "A new dynamic traffic model and the existence and calculation of dynamic user equilibria on congested capacity-constrained road networks," Transportation Research Part B: Methodological, Elsevier, vol. 27(1), pages 49-63, February.
    26. Ruibin Bai & Jiawei Li & Jason A D Atkin & Graham Kendall, 2014. "A novel approach to independent taxi scheduling problem based on stable matching," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(10), pages 1501-1510, October.
    27. Peraphan Jittrapirom & Valeria Caiati & Anna-Maria Feneri & Shima Ebrahimigharehbaghi & María J. Alonso González & Jishnu Narayan, 2017. "Mobility as a Service: A Critical Review of Definitions, Assessments of Schemes, and Key Challenges," Urban Planning, Cogitatio Press, vol. 2(2), pages 13-25.
    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. Paolo Delle Site & André de Palma & Samarth Ghoslya, 2021. "Social optimality and stability of matchings in peer-to-peer ridesharing," THEMA Working Papers 2021-17, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. André de Palma & Lucas Javaudin & Patrick Stokkink & Léandre Tarpin-Pitre, 2021. "Modelling Ridesharing in a Large Network with Dynamic Congestion," THEMA Working Papers 2021-16, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

    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. de Palma, André & Stokkink, Patrick & Geroliminis, Nikolas, 2022. "Influence of dynamic congestion with scheduling preferences on carpooling matching with heterogeneous users," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 479-498.
    2. 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.
    3. Zhong, Lin & Zhang, Kenan & (Marco) Nie, Yu & Xu, Jiuping, 2020. "Dynamic carpool in morning commute: Role of high-occupancy-vehicle (HOV) and high-occupancy-toll (HOT) lanes," Transportation Research Part B: Methodological, Elsevier, vol. 135(C), pages 98-119.
    4. Fu, Yulan & Wang, Chenlan & Liu, Tian-Liang & Huang, Hai-Jun, 2021. "Parking management in the morning commute problem with ridesharing," Research in Transportation Economics, Elsevier, vol. 90(C).
    5. Kaddoura, Ihab & Nagel, Kai, 2019. "Congestion pricing in a real-world oriented agent-based simulation context," Research in Transportation Economics, Elsevier, vol. 74(C), pages 40-51.
    6. Wada, Kentaro & Akamatsu, Takashi, 2013. "A hybrid implementation mechanism of tradable network permits system which obviates path enumeration: An auction mechanism with day-to-day capacity control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 60(C), pages 94-112.
    7. Mohammad Asghari & Seyed Mohammad Javad Mirzapour Al-E-Hashem & Yacine Rekik, 2022. "Environmental and social implications of incorporating carpooling service on a customized bus system," Post-Print hal-03598768, HAL.
    8. Ruijie Li & Yu (Marco) Nie & Xiaobo Liu, 2020. "Pricing Carpool Rides Based on Schedule Displacement," Transportation Science, INFORMS, vol. 54(4), pages 1134-1152, July.
    9. Tian, Li-Jun & Sheu, Jiuh-Biing & Huang, Hai-Jun, 2019. "The morning commute problem with endogenous shared autonomous vehicle penetration and parking space constraint," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 258-278.
    10. Wu, Jiyan & Tian, Ye & Sun, Jian, 2023. "Managing ridesharing with incentives in a bottleneck model," Research in Transportation Economics, Elsevier, vol. 101(C).
    11. Carlo Cenedese & Patrick Stokkink & Nikolas Gerolimins & John Lygeros, 2021. "Incentive-Based Electric Vehicle Charging for Managing Bottleneck Congestion," Papers 2111.05600, arXiv.org.
    12. Deng, Yao & Sheng, Dian & Liu, Baoli, 2021. "Managing ship lock congestion in an inland waterway: A bottleneck model with a service time window," Transport Policy, Elsevier, vol. 112(C), pages 142-161.
    13. Meng Li & Guowei Hua & Haijun Huang, 2018. "A Multi-Modal Route Choice Model with Ridesharing and Public Transit," Sustainability, MDPI, vol. 10(11), pages 1-14, November.
    14. Terry E. Daniel & Eyran J. Gisches & Amnon Rapoport, 2009. "Departure Times in Y-Shaped Traffic Networks with Multiple Bottlenecks," American Economic Review, American Economic Association, vol. 99(5), pages 2149-2176, December.
    15. William H. Sandholm, 2005. "Negative Externalities and Evolutionary Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 885-915.
    16. Arnott, Richard, 2007. "Congestion tolling with agglomeration externalities," Journal of Urban Economics, Elsevier, vol. 62(2), pages 187-203, September.
    17. Yu Nie, 2015. "A New Tradable Credit Scheme for the Morning Commute Problem," Networks and Spatial Economics, Springer, vol. 15(3), pages 719-741, September.
    18. Jiang, Changmin & Zhang, Anming, 2015. "Airport congestion pricing and terminal investment: Effects of terminal congestion, passenger types, and concessionsAuthor-Name: Wan, Yulai," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 91-113.
    19. Engel Eduardo M & Fischer Ronald & Galetovic Alexander, 2004. "Toll Competition Among Congested Roads," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 4(1), pages 1-21, March.
    20. Vincent A.C. van den Berg & Erik T. Verhoef, 2015. "Robot Cars and Dynamic Bottleneck Congestion: The Effects on Capacity, Value of Time and Preference Heterogeneity," Tinbergen Institute Discussion Papers 15-062/VIII, Tinbergen Institute, revised 11 Jul 2016.

    More about this item

    Keywords

    Carpooling; Ride-sharing; Matching; Scheduling delay; Bottleneck congestion;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • R40 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - General
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise

    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:ema:worpap:2020-12. 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: Stefania Marcassa (email available below). General contact details of provider: https://edirc.repec.org/data/themafr.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.