IDEAS home Printed from https://ideas.repec.org/p/ems/eureri/78193.html
   My bibliography  Save this paper

Stable Matching for Dynamic Ride-sharing Systems

Author

Listed:
  • Wang, X.
  • Agatz, N.A.H.
  • Erera, A.

Abstract

Dynamic ride-sharing systems enable people to share rides and increase the efficiency of urban transportation by connecting riders and drivers on short notice. Automated systems that establish ride-share matches with minimal input from participants provide the most convenience and the most potential for system-wide performance improvement, such as reduction in total vehicle-miles traveled. Indeed, such systems may be designed to match riders and drivers to maximize system performance improvement. However, system-optimal matches may not provide the maximum benefit to each individual participant. In this paper we consider a notion of stability for ride-share matches and present several mathematical programming methods to establish stable or nearly-stable matches, where we note that ride-share matching optimization is performed over time with incomplete information. Our numerical experiments using travel demand data for the metropolitan Atlanta region show that we can significantly increase the stability of ride-share matching solutions at the cost of only a small degradation in system-wide performance.

Suggested Citation

  • Wang, X. & Agatz, N.A.H. & Erera, A., 2015. "Stable Matching for Dynamic Ride-sharing Systems," ERIM Report Series Research in Management ERS-2015-006-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:78193
    as

    Download full text from publisher

    File URL: https://repub.eur.nl/pub/78193/ERS-2015-006-LIS.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Clark Simon, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-30, December.
    2. Alvin E. Roth & Uriel G. Rothblum & John H. Vande Vate, 1993. "Stable Matchings, Optimal Assignments, and Linear Programming," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 803-828, November.
    3. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    4. Agatz, Niels A.H. & Erera, Alan L. & Savelsbergh, Martin W.P. & Wang, Xing, 2011. "Dynamic ride-sharing: A simulation study in metro Atlanta," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1450-1464.
    5. Furuhata, Masabumi & Dessouky, Maged & Ordóñez, Fernando & Brunet, Marc-Etienne & Wang, Xiaoqing & Koenig, Sven, 2013. "Ridesharing: The state-of-the-art and future directions," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 28-46.
    6. Federico Echenique & Alistair J. Wilson & Leeat Yariv, 2016. "Clearinghouses for two‐sided matching: An experimental study," Quantitative Economics, Econometric Society, vol. 7(2), pages 449-482, July.
    7. Roth, Alvin E, 1991. "A Natural Experiment in the Organization of Entry-Level Labor Markets: Regional Markets for New Physicians and Surgeons in the United Kingdom," American Economic Review, American Economic Association, vol. 81(3), pages 415-440, June.
    8. Roberto Baldacci & Vittorio Maniezzo & Aristide Mingozzi, 2004. "An Exact Method for the Car Pooling Problem Based on Lagrangean Column Generation," Operations Research, INFORMS, vol. 52(3), pages 422-439, June.
    9. 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.
    10. Alistair Wilson & Federico Echenique & Leeat Yariv, 2009. "Clearinghouses for Two-Sided Matching: An Experimental Study," Working Paper 487, Department of Economics, University of Pittsburgh, revised Dec 2013.
    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. Djavadian, Shadi & Chow, Joseph Y.J., 2017. "An agent-based day-to-day adjustment process for modeling ‘Mobility as a Service’ with a two-sided flexible transport market," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 36-57.
    2. Liu, Xiaobing & Yan, Xuedong & Liu, Feng & Wang, Rui & Leng, Yan, 2019. "A trip-specific model for fuel saving estimation and subsidy policy making of carpooling based on empirical data," Applied Energy, Elsevier, vol. 240(C), pages 295-311.

    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. Xing Wang & Niels Agatz & Alan Erera, 2018. "Stable Matching for Dynamic Ride-Sharing Systems," Transportation Science, INFORMS, vol. 52(4), pages 850-867, August.
    2. Peng, Zixuan & Shan, Wenxuan & Zhu, Xiaoning & Yu, Bin, 2022. "Many-to-one stable matching for taxi-sharing service with selfish players," Transportation Research Part A: Policy and Practice, Elsevier, vol. 160(C), pages 255-279.
    3. Zixuan Peng & Wenxuan Shan & Peng Jia & Bin Yu & Yonglei Jiang & Baozhen Yao, 2020. "Stable ride-sharing matching for the commuters with payment design," Transportation, Springer, vol. 47(1), pages 1-21, February.
    4. Hosni, Hadi & Naoum-Sawaya, Joe & Artail, Hassan, 2014. "The shared-taxi problem: Formulation and solution methods," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 303-318.
    5. Wang, Jing-Peng & Ban, Xuegang (Jeff) & Huang, Hai-Jun, 2019. "Dynamic ridesharing with variable-ratio charging-compensation scheme for morning commute," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 390-415.
    6. 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.
    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. Mourad, Abood & Puchinger, Jakob & Chu, Chengbin, 2019. "A survey of models and algorithms for optimizing shared mobility," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 323-346.
    9. Naoum-Sawaya, Joe & Cogill, Randy & Ghaddar, Bissan & Sajja, Shravan & Shorten, Robert & Taheri, Nicole & Tommasi, Pierpaolo & Verago, Rudi & Wirth, Fabian, 2015. "Stochastic optimization approach for the car placement problem in ridesharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 173-184.
    10. Muriel Niederle & Alvin E. Roth & M. Utku Ünver, 2013. "Unraveling Results from Comparable Demand and Supply: An Experimental Investigation," Games, MDPI, vol. 4(2), pages 1-40, June.
    11. Ning Ma & Ziqiang Zeng & Yinhai Wang & Jiuping Xu, 2021. "Balanced strategy based on environment and user benefit-oriented carpooling service mode for commuting trips," Transportation, Springer, vol. 48(3), pages 1241-1266, June.
    12. Omer Faruk Aydin & Ilgin Gokasar & Onur Kalan, 2020. "Matching algorithm for improving ride-sharing by incorporating route splits and social factors," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-23, March.
    13. Hou, Liwen & Li, Dong & Zhang, Dali, 2018. "Ride-matching and routing optimisation: Models and a large neighbourhood search heuristic," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 143-162.
    14. Arslan, A.M. & Agatz, N.A.H. & Kroon, L.G. & Zuidwijk, R.A., 2016. "Crowdsourced Delivery: A Dynamic Pickup and Delivery Problem with Ad-hoc Drivers," ERIM Report Series Research in Management ERS-2016-003-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    15. Long, Jiancheng & Tan, Weimin & Szeto, W.Y. & Li, Yao, 2018. "Ride-sharing with travel time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 143-171.
    16. Min Zhu, 2015. "Experience Transmission : Truth-telling Adoption in Matching," Working Papers 1518, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    17. Boysen, Nils & Briskorn, Dirk & Schwerdfeger, Stefan & Stephan, Konrad, 2021. "Optimizing carpool formation along high-occupancy vehicle lanes," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1097-1112.
    18. Stiglic, Mitja & Agatz, Niels & Savelsbergh, Martin & Gradisar, Mirko, 2015. "The benefits of meeting points in ride-sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 36-53.
    19. Min Zhu, 2015. "Experience Transmission: Truth-telling Adoption in Matching," Working Papers halshs-01176926, HAL.
    20. 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.

    More about this item

    Keywords

    ride-sharing; carpooling; sustainable transport; stable matching;
    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:ems:eureri:78193. 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: RePub (email available below). General contact details of provider: https://edirc.repec.org/data/erimanl.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.