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Stable ride-sharing matching for the commuters with payment design

Author

Listed:
  • Zixuan Peng

    (Dalian Maritime University
    Dalian Maritime University)

  • Wenxuan Shan

    (Beihang University)

  • Peng Jia

    (Dalian Maritime University
    Dalian Maritime University)

  • Bin Yu

    (Dalian Maritime University
    BDBC, Beihang University)

  • Yonglei Jiang

    (Eindhoven University of Technology)

  • Baozhen Yao

    (Eindhoven University of Technology)

Abstract

Ride-sharing enables reduction of private car usage for commuting. This paper proposes a stable matching model for the ride-sharing which aims to minimize the travel cost of all commuters. A payment for the ride-sharing is designed considering the equity and incentive. An algorithm based on the deferred acceptance algorithm is proposed for the model. To verify the model and algorithm, cases with different scales are presented based on Dalian. The results illustrate that the compensation, time window and driver-to-rider ratios can affect the successful matching rate.

Suggested Citation

  • 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.
  • Handle: RePEc:kap:transp:v:47:y:2020:i:1:d:10.1007_s11116-018-9960-x
    DOI: 10.1007/s11116-018-9960-x
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    as
    1. Han, Seungjin & Yamaguchi, Shintaro, 2015. "Compensating wage differentials in stable job matching equilibrium," Journal of Economic Behavior & Organization, Elsevier, vol. 114(C), pages 36-45.
    2. Baozhen Yao & Bin Yu & Ping Hu & Junjie Gao & Mingheng Zhang, 2016. "An improved particle swarm optimization for carton heterogeneous vehicle routing problem with a collection depot," Annals of Operations Research, Springer, vol. 242(2), pages 303-320, July.
    3. Brownstone, David & Golob, Thomas F., 1992. "The effectiveness of ridesharing incentives: Discrete-choice models of commuting in Southern California," Regional Science and Urban Economics, Elsevier, vol. 22(1), pages 5-24, March.
    4. Alkan, Ahmet & Gale, David, 2003. "Stable schedule matching under revealed preference," Journal of Economic Theory, Elsevier, vol. 112(2), pages 289-306, October.
    5. Cordeau, Jean-François & Laporte, Gilbert, 2003. "A tabu search heuristic for the static multi-vehicle dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 579-594, July.
    6. Kerwin Kofi Charles & Patrick Kline, 2006. "Relational Costs and the Production of Social Capital: Evidence from Carpooling," Economic Journal, Royal Economic Society, vol. 116(511), pages 581-604, April.
    7. Xiang, Zhihai & Chu, Chengbin & Chen, Haoxun, 2006. "A fast heuristic for solving a large-scale static dial-a-ride problem under complex constraints," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1117-1139, October.
    8. 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.
    9. Xiao, Ling-Ling & Liu, Tian-Liang & Huang, Hai-Jun, 2016. "On the morning commute problem with carpooling behavior under parking space constraint," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 383-407.
    10. Koppelman, Frank S. & Bhat, Chandra R. & Schofer, Joseph L., 1993. "Market research evaluation of actions to reduce suburban traffic congestion: Commuter travel behavior and response to demand reduction actions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 27(5), pages 383-393, September.
    11. 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.
    12. Jean-François Cordeau, 2006. "A Branch-and-Cut Algorithm for the Dial-a-Ride Problem," Operations Research, INFORMS, vol. 54(3), pages 573-586, June.
    13. Sayarshad, Hamid R. & Chow, Joseph Y.J., 2015. "A scalable non-myopic dynamic dial-a-ride and pricing problem," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 539-554.
    14. 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.
    15. Hu Shao & William Lam & Mei Tam, 2006. "A Reliability-Based Stochastic Traffic Assignment Model for Network with Multiple User Classes under Uncertainty in Demand," Networks and Spatial Economics, Springer, vol. 6(3), pages 173-204, September.
    16. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
    17. 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.
    18. Lee, Alan & Savelsbergh, Martin, 2015. "Dynamic ridesharing: Is there a role for dedicated drivers?," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 483-497.
    19. Stiglic, M. & Agatz, N.A.H. & Savelsbergh, M.W.P. & Gradisar, M., 2015. "The Benefits of Meeting Points in Ride-sharing Systems," ERIM Report Series Research in Management ERS-2015-003-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.
    20. Peng, Zixuan & Shan, Wenxuan & Guan, Feng & Yu, Bin, 2016. "Stable vessel-cargo matching in dry bulk shipping market with price game mechanism," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 76-94.
    21. 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.
    22. Stiglic, Mitja & Agatz, Niels & Savelsbergh, Martin & Gradisar, Mirko, 2016. "Making dynamic ride-sharing work: The impact of driver and rider flexibility," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 190-207.
    23. 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.
    24. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-1480, November.
    25. 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.
    26. Qian, Xinwu & Zhang, Wenbo & Ukkusuri, Satish V. & Yang, Chao, 2017. "Optimal assignment and incentive design in the taxi group ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 208-226.
    27. He, Fang & Yin, Yafeng & Chen, Zhibin & Zhou, Jing, 2015. "Pricing of parking games with atomic players," Transportation Research Part B: Methodological, Elsevier, vol. 73(C), pages 1-12.
    28. Li, Baoxiang & Krushinsky, Dmitry & Reijers, Hajo A. & Van Woensel, Tom, 2014. "The Share-a-Ride Problem: People and parcels sharing taxis," European Journal of Operational Research, Elsevier, vol. 238(1), pages 31-40.
    29. Roth, Alvin E & Vande Vate, John H, 1991. "Incentives in Two-Sided Matching with Random Stable Mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 31-44, January.
    30. Jiang, Yonglei & Sheu, Jiuh-Biing & Peng, Zixuan & Yu, Bin, 2018. "Hinterland patterns of China Railway (CR) express in China under the Belt and Road Initiative: A preliminary analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 119(C), pages 189-201.
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