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Stochastic Ridesharing User Equilibrium in Transport Networks

Author

Listed:
  • Chen-Yang Yan

    (University of Science and Technology of China
    The Smart City Research Institute of CETC)

  • Mao-Bin Hu

    (University of Science and Technology of China)

  • Rui Jiang

    (Beijing Jiaotong University)

  • Jiancheng Long

    (Hefei University of Technology)

  • Jin-Yong Chen

    (University of Science and Technology of China)

  • Hao-Xiang Liu

    (Hefei University of Technology)

Abstract

With the development of the Internet and mobile phone technology, it is much easier to access ridesharing information via mobile applications. In this paper, the relationship between the demand of ridesharing passengers (RPs), ridesharing drivers (RDs) and solo drivers (SDs) in a ridesharing compensation scheme is studied by a stochastic ridesharing user equilibrium (SRUE), which contains a mode choice model and a route choice model. The mode choice model and the route choice model influence each other. The SRUE is first expressed as a fixed-point problem mathematically. Six possible states of OD pairs are discussed. Then the existence of SRUE is proved. The method of successive weighted averages is adopted to solve the problem. It is found that there will be a higher demand of ridesharing passengers for journeys with longer travel time. Moreover, with the increase of the ridesharing compensation, the demand of ridesharing passengers is not always decreasing, and the demand of ridesharing drivers is not always increasing.

Suggested Citation

  • Chen-Yang Yan & Mao-Bin Hu & Rui Jiang & Jiancheng Long & Jin-Yong Chen & Hao-Xiang Liu, 2019. "Stochastic Ridesharing User Equilibrium in Transport Networks," Networks and Spatial Economics, Springer, vol. 19(4), pages 1007-1030, December.
  • Handle: RePEc:kap:netspa:v:19:y:2019:i:4:d:10.1007_s11067-019-9442-5
    DOI: 10.1007/s11067-019-9442-5
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    References listed on IDEAS

    as
    1. 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.
    2. Zhiyuan Liu & Wen Yi & Shuaian Wang & Jun Chen, 2017. "On the Uniqueness of User Equilibrium Flow with Speed Limit," Networks and Spatial Economics, Springer, vol. 17(3), pages 763-775, September.
    3. AfDB AfDB, . "Annual Report 2012," Annual Report, African Development Bank, number 461.
    4. Henry Liu & Xiaozheng He & Bingsheng He, 2009. "Method of Successive Weighted Averages (MSWA) and Self-Regulated Averaging Schemes for Solving Stochastic User Equilibrium Problem," Networks and Spatial Economics, Springer, vol. 9(4), pages 485-503, December.
    5. Farahani, Reza Zanjirani & Miandoabchi, Elnaz & Szeto, W.Y. & Rashidi, Hannaneh, 2013. "A review of urban transportation network design problems," European Journal of Operational Research, Elsevier, vol. 229(2), pages 281-302.
    6. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun, 2014. "A bi-objective turning restriction design problem in urban road networks," European Journal of Operational Research, Elsevier, vol. 237(2), pages 426-439.
    7. 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.
    8. Yin, Yafeng & Yang, Hai, 2003. "Simultaneous determination of the equilibrium market penetration and compliance rate of advanced traveler information systems," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(2), pages 165-181, February.
    9. Hai-Jun Huang & Tian-Liang Liu & Xiaolei Guo & Hai Yang, 2011. "Inefficiency of Logit-Based Stochastic User Equilibrium in a Traffic Network Under ATIS," Networks and Spatial Economics, Springer, vol. 11(2), pages 255-269, June.
    10. Stella Dafermos, 1980. "Traffic Equilibrium and Variational Inequalities," Transportation Science, INFORMS, vol. 14(1), pages 42-54, February.
    11. Yang, Hai & Huang, Hai-Jun, 1999. "Carpooling and congestion pricing in a multilane highway with high-occupancy-vehicle lanes," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(2), pages 139-155, February.
    12. 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.
    13. Avinash Unnikrishnan & Steven Waller, 2009. "User Equilibrium with Recourse," Networks and Spatial Economics, Springer, vol. 9(4), pages 575-593, December.
    14. Paolo Delle Site, 2017. "On the Equivalence Between SUE and Fixed-Point States of Day-to-Day Assignment Processes with Serially-Correlated Route Choice," Networks and Spatial Economics, Springer, vol. 17(3), pages 935-962, September.
    15. Carlos F. Daganzo & Yosef Sheffi, 1977. "On Stochastic Models of Traffic Assignment," Transportation Science, INFORMS, vol. 11(3), pages 253-274, August.
    16. Long, Jiancheng & Gao, Ziyou & Zhang, Haozhi & Szeto, W.Y., 2010. "A turning restriction design problem in urban road networks," European Journal of Operational Research, Elsevier, vol. 206(3), pages 569-578, November.
    17. Jian Wang & Muqing Du & Lili Lu & Xiaozheng He, 2018. "Maximizing Network Throughput under Stochastic User Equilibrium with Elastic Demand," Networks and Spatial Economics, Springer, vol. 18(1), pages 115-143, March.
    Full references (including those not matched with items on IDEAS)

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    3. Ma, Jie & Xu, Min & Meng, Qiang & Cheng, Lin, 2020. "Ridesharing user equilibrium problem under OD-based surge pricing strategy," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 1-24.
    4. Li, Tongfei & Xu, Min & Sun, Huijun & Xiong, Jie & Dou, Xueping, 2023. "Stochastic ridesharing equilibrium problem with compensation optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 170(C).
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    6. Rui Yao & Shlomo Bekhor, 2021. "A Dynamic Tree Algorithm for Peer-to-Peer Ridesharing Matching," Networks and Spatial Economics, Springer, vol. 21(4), pages 801-837, December.
    7. Vizuete-Luciano, Emili & Guillén-Pujadas, Miguel & Alaminos, David & Merigó-Lindahl, José María, 2023. "Taxi and urban mobility studies: A bibliometric analysis," Transport Policy, Elsevier, vol. 133(C), pages 144-155.
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