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Uncertainties in shared mobility optimization problems: Survey and perspective

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  • Gao, Jie
  • Zhu, Yongqiu
  • Cats, Oded

Abstract

Shared mobility systems encompass a wide range of decisions, from real-time operations to strategic long-term planning, all influenced by inherent uncertainties. This review categorizes these uncertainties into four primary types: demand, supply, behavioral, and operational environment, and examines their unique impacts on strategic, tactical, and operational decision-making processes. We review traditional and emerging optimization methodologies, including stochastic programming, robust optimization, data-driven approaches, and reinforcement learning. By linking these methodologies to specific uncertainty types and decision-making levels, this review provides insights into their applications, strengths, and limitations. Finally, we identify research gaps and highlights opportunities for advancing the optimization of shared mobility systems under uncertainty.

Suggested Citation

  • Gao, Jie & Zhu, Yongqiu & Cats, Oded, 2025. "Uncertainties in shared mobility optimization problems: Survey and perspective," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 203(C).
  • Handle: RePEc:eee:transe:v:203:y:2025:i:c:s1366554525003916
    DOI: 10.1016/j.tre.2025.104350
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    1. Zhi Chen & Melvyn Sim & Peng Xiong, 2020. "Robust Stochastic Optimization Made Easy with RSOME," Management Science, INFORMS, vol. 66(8), pages 3329-3339, August.
    2. Lei, Zengxiang & Ukkusuri, Satish V., 2023. "Scalable reinforcement learning approaches for dynamic pricing in ride-hailing systems," Transportation Research Part B: Methodological, Elsevier, vol. 178(C).
    3. 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.
    4. Dongling Rong & Xinyu Sun & Meilin Zhang & Shuangchi He, 2025. "Satisficing Approach to On-Demand Ride Matching," INFORMS Journal on Computing, INFORMS, vol. 37(2), pages 413-427, March.
    5. Maggioni, Francesca & Cagnolari, Matteo & Bertazzi, Luca & Wallace, Stein W., 2019. "Stochastic optimization models for a bike-sharing problem with transshipment," European Journal of Operational Research, Elsevier, vol. 276(1), pages 272-283.
    6. 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.
    7. Yao Chen & Yang Liu, 2023. "Integrated Optimization of Planning and Operations for Shared Autonomous Electric Vehicle Systems," Transportation Science, INFORMS, vol. 57(1), pages 106-134, January.
    8. Li, Manzi & Jiang, Gege & Lo, Hong K., 2023. "Optimal cancellation penalty for competing ride-sourcing platforms under waiting time uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 174(C).
    9. Guo, Xiaotong & Caros, Nicholas S. & Zhao, Jinhua, 2021. "Robust matching-integrated vehicle rebalancing in ride-hailing system with uncertain demand," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 161-189.
    10. Jayita Chakraborty & Debapratim Pandit & Felix Chan & Jianhong (Cecilia) Xia, 2021. "A review of Ride-Matching strategies for Ridesourcing and other similar services," Transport Reviews, Taylor & Francis Journals, vol. 41(5), pages 578-599, September.
    11. Bruck, Bruno P. & Coutinho, Walton P. & Munari, Pedro, 2025. "The Robust Bike sharing Rebalancing Problem: Formulations and a branch-and-cut algorithm," European Journal of Operational Research, Elsevier, vol. 325(1), pages 67-80.
    12. Chen, Qingxin & Fu, Chenyi & Zhu, Ning & Ma, Shoufeng & He, Qiao-Chu, 2023. "A target-based optimization model for bike-sharing systems: From the perspective of service efficiency and equity," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 235-260.
    13. Shi, Junxin & Li, Xiangyong & Aneja, Y.P. & Li, Xiaonan, 2023. "Ride-matching for the ride-hailing platform with heterogeneous drivers," Transport Policy, Elsevier, vol. 136(C), pages 169-192.
    14. Qiu, Dawei & Wang, Yi & Hua, Weiqi & Strbac, Goran, 2023. "Reinforcement learning for electric vehicle applications in power systems:A critical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 173(C).
    15. Huang, Wei & Huang, Wentao & Jian, Sisi, 2022. "One-way carsharing service design under demand uncertainty: A service reliability-based two-stage stochastic program approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    16. Zhaowei Hao & Long He & Zhenyu Hu & Jun Jiang, 2020. "Robust Vehicle Pre‐Allocation with Uncertain Covariates," Production and Operations Management, Production and Operations Management Society, vol. 29(4), pages 955-972, April.
    17. Long He & Zhenyu Hu & Meilin Zhang, 2020. "Robust Repositioning for Vehicle Sharing," Manufacturing & Service Operations Management, INFORMS, vol. 22(2), pages 241-256, March.
    18. Mengshi Lu & Zhihao Chen & Siqian Shen, 2018. "Optimizing the Profitability and Quality of Service in Carshare Systems Under Demand Uncertainty," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 162-180, May.
    19. Shaheen, Susan PhD & Cohen, Adam & Chan, Nelson & Bansal, Apaar, 2020. "Chapter 13 - Sharing strategies: carsharing, shared micromobility (bikesharing and scooter sharing), transportation network companies, microtransit, and other innovative mobility modes," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt0z9711dw, Institute of Transportation Studies, UC Berkeley.
    20. Brandstätter, Georg & Kahr, Michael & Leitner, Markus, 2017. "Determining optimal locations for charging stations of electric car-sharing systems under stochastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 17-35.
    21. Zhang, Li & Liu, Zhongshan & Yu, Lan & Fang, Ke & Yao, Baozhen & Yu, Bin, 2022. "Routing optimization of shared autonomous electric vehicles under uncertain travel time and uncertain service time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    22. Yang, Yue & Umboh, Seeun William & Ramezani, Mohsen, 2024. "Freelance drivers with a decline choice: Dispatch menus in on-demand mobility services for assortment optimization," Transportation Research Part B: Methodological, Elsevier, vol. 190(C).
    23. Fu, Chenyi & Zhu, Ning & Ma, Shoufeng & Liu, Ronghui, 2022. "A two-stage robust approach to integrated station location and rebalancing vehicle service design in bike-sharing systems," European Journal of Operational Research, Elsevier, vol. 298(3), pages 915-938.
    24. Fu, Chenyi & Ma, Shoufeng & Zhu, Ning & He, Qiao-Chu & Yang, Hai, 2022. "Bike-sharing inventory management for market expansion," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 28-54.
    25. Zhang, Si & Sun, Huijun & Liu, Yang & Lv, Ying & Wu, Jianjun & Feng, Xiaoyan, 2024. "Carsharing equitable relocation problem: A two-stage stochastic programming approach with learning-embedded endogenous uncertainty in demand," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
    26. Wang, Hai & Yang, Hai, 2019. "Ridesourcing systems: A framework and review," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 122-155.
    27. Wu, Weitiao & Li, Yu, 2024. "Pareto truck fleet sizing for bike relocation with stochastic demand: Risk-averse multi-stage approximate stochastic programming," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 183(C).
    28. Bengio, Yoshua & Lodi, Andrea & Prouvost, Antoine, 2021. "Machine learning for combinatorial optimization: A methodological tour d’horizon," European Journal of Operational Research, Elsevier, vol. 290(2), pages 405-421.
    29. Dell’Amico, Mauro & Iori, Manuel & Novellani, Stefano & Subramanian, Anand, 2018. "The Bike sharing Rebalancing Problem with Stochastic Demands," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 362-380.
    30. Amirmahdi Tafreshian & Neda Masoud & Yafeng Yin, 2020. "Frontiers in Service Science: Ride Matching for Peer-to-Peer Ride Sharing: A Review and Future Directions," Service Science, INFORMS, vol. 12(2-3), pages 44-60, June.
    31. Li, Mengjie & Xi, Haoning & Xie, Chi & Shen, Zuo-Jun Max & Hu, Yifan, 2025. "Real-time vehicle relocation, personnel dispatch and trip pricing for carsharing systems under supply and demand uncertainties," Transportation Research Part B: Methodological, Elsevier, vol. 193(C).
    32. Erick Delage & Yinyu Ye, 2010. "Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems," Operations Research, INFORMS, vol. 58(3), pages 595-612, June.
    33. Zhang, Dong & Liu, Yang & He, Shuangchi, 2019. "Vehicle assignment and relays for one-way electric car-sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 125-146.
    34. Wolfram Wiesemann & Daniel Kuhn & Melvyn Sim, 2014. "Distributionally Robust Convex Optimization," Operations Research, INFORMS, vol. 62(6), pages 1358-1376, December.
    35. Guo, Chenyu & Wang, Xin & Zheng, Yihui & Zhang, Feng, 2022. "Real-time optimal energy management of microgrid with uncertainties based on deep reinforcement learning," Energy, Elsevier, vol. 238(PC).
    36. 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).
    37. Hua, Yikang & Zhao, Dongfang & Wang, Xin & Li, Xiaopeng, 2019. "Joint infrastructure planning and fleet management for one-way electric car sharing under time-varying uncertain demand," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 185-206.
    38. Liu, Yang & Xie, Jiaohong & Chen, Nan, 2022. "Stochastic one-way carsharing systems with dynamic relocation incentives through preference learning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
    39. Cláudia A. Soares Machado & Nicolas Patrick Marie De Salles Hue & Fernando Tobal Berssaneti & José Alberto Quintanilha, 2018. "An Overview of Shared Mobility," Sustainability, MDPI, vol. 10(12), pages 1-21, November.
    40. Li, Manzi & Jiang, Gege & Lo, Hong K., 2022. "Pricing strategy of ride-sourcing services under travel time variability," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    41. Huang, Sen & Liu, Kanglin & Zhang, Zhi-Hai, 2023. "Column-and-constraint-generation-based approach to a robust reverse logistic network design for bike sharing," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 90-118.
    42. Li, Xiang & Wang, Xianzhe & Feng, Ziyan, 2024. "Dynamic repositioning in bike-sharing systems with uncertain demand: An improved rolling horizon framework," Omega, Elsevier, vol. 126(C).
    43. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    44. Fan, Wei, 2014. "Optimizing Strategic Allocation of Vehicles for One-Way Car-sharing Systems Under Demand Uncertainty," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 53(3).
    45. Gilbert Laporte & Frédéric Meunier & Roberto Wolfler Calvo, 2018. "Shared mobility systems: an updated survey," Annals of Operations Research, Springer, vol. 271(1), pages 105-126, December.
    46. Çalık, Hatice & Fortz, Bernard, 2019. "A Benders decomposition method for locating stations in a one-way electric car sharing system under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 121-150.
    47. Dell'Amico, Mauro & Hadjicostantinou, Eleni & Iori, Manuel & Novellani, Stefano, 2014. "The bike sharing rebalancing problem: Mathematical formulations and benchmark instances," Omega, Elsevier, vol. 45(C), pages 7-19.
    48. Chen, Qingxin & Ma, Shoufeng & Li, Hongming & Zhu, Ning & He, Qiao-Chu, 2024. "Optimizing bike rebalancing strategies in free-floating bike-sharing systems: An enhanced distributionally robust approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).
    49. 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.
    50. Guo, Yuhan & Li, Jinning & Xiao, Linfan & Allaoui, Hamid & Choudhary, Alok & Zhang, Lufang, 2024. "Efficient inventory routing for Bike-Sharing Systems: A combinatorial reinforcement learning framework," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 182(C).
    51. 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.
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