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The Bike sharing Rebalancing Problem with Stochastic Demands

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  • Dell’Amico, Mauro
  • Iori, Manuel
  • Novellani, Stefano
  • Subramanian, Anand

Abstract

In this paper we deal with the stochastic version of a problem arising in the context of self-service bike sharing systems, which aims at determining minimum cost routes for a fleet of homogeneous vehicles in order to redistribute bikes among stations. The Bike sharing Rebalancing Problem with Stochastic Demands is a variant of the one-commodity many-to-many pickup and delivery vehicle routing problem where demands at each station are represented by random variables, with associated probability distributions, that depend on stochastic scenarios. We develop stochastic programming models that are solved using different approaches, in particular, the L-Shaped and branch-and-cut. Moreover, we also propose heuristic algorithms based on an innovative use of positive and negative correlations among stations’ stochastic demands, as well as an efficient strategy for checking feasibility. The proposed solution approaches are evaluated and compared by means of extensive computational experiments on newly realistic benchmark instances.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:118:y:2018:i:c:p:362-380
    DOI: 10.1016/j.trb.2018.10.015
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    Cited by:

    1. Wang, Xu & Sun, Huijun & Zhang, Si & Lv, Ying & Li, Tongfei, 2022. "Bike sharing rebalancing problem with variable demand," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    2. Carlos M. Vallez & Mario Castro & David Contreras, 2021. "Challenges and Opportunities in Dock-Based Bike-Sharing Rebalancing: A Systematic Review," Sustainability, MDPI, vol. 13(4), pages 1-26, February.
    3. Wang, Yi-Jia & Kuo, Yong-Hong & Huang, George Q. & Gu, Weihua & Hu, Yaohua, 2022. "Dynamic demand-driven bike station clustering," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 160(C).
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    6. Choi, Seung Jun & Jiao, Junfeng & Lee, Hye Kyung & Farahi, Arya, 2023. "Combatting the mismatch: Modeling bike-sharing rental and return machine learning classification forecast in Seoul, South Korea," Journal of Transport Geography, Elsevier, vol. 109(C).
    7. Ma, Yongfeng & Zhang, Ziyu & Chen, Shuyan & Pan, Yingjiu & Hu, Shuqin & Li, Zeyang, 2021. "Investigating the impact of spatial-temporal grid size on the microscopic forecasting of the inflow and outflow gap in a free-floating bike-sharing system," Journal of Transport Geography, Elsevier, vol. 96(C).
    8. Dong, Xiaoyang & Zhang, Bin & Wang, Zhaohua, 2023. "Impact of land use on bike-sharing travel patterns: Evidence from large scale data analysis in China," Land Use Policy, Elsevier, vol. 133(C).
    9. Du, Mingyang & Cheng, Lin & Li, Xuefeng & Tang, Fang, 2020. "Static rebalancing optimization with considering the collection of malfunctioning bikes in free-floating bike sharing system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    10. Bruno Albert Neumann-Saavedra & Teodor Gabriel Crainic & Bernard Gendron & Dirk Christian Mattfeld & Michael Römer, 2020. "Integrating Resource Management in Service Network Design for Bike-Sharing Systems," Transportation Science, INFORMS, vol. 54(5), pages 1251-1271, September.
    11. Ruijing Wu & Shaoxuan Liu & Zhenyang Shi, 2019. "Customer Incentive Rebalancing Plan in Free-Float Bike-Sharing System with Limited Information," Sustainability, MDPI, vol. 11(11), pages 1-24, May.
    12. Cheng, Yao & Wang, Junwei & Wang, Yan, 2021. "A user-based bike rebalancing strategy for free-floating bike sharing systems: A bidding model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    13. Liu, Yixiao & Tian, Zihao & Pan, Baoran & Zhang, Wenbin & Liu, Yunqi & Tian, Lixin, 2022. "A hybrid big-data-based and tolerance-based method to estimate environmental benefits of electric bike sharing," Applied Energy, Elsevier, vol. 315(C).
    14. 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.
    15. Yixiao Liu & Wenshan Liu & Rui Zhao & Lixin Tian, 2023. "Can Docked Bike-Sharing Systems Reach Their Dual Sustainability in Terms of Environmental Benefits and Financial Operations? A Comparative Study from Nanjing, 2017 and 2023," Sustainability, MDPI, vol. 15(24), pages 1-39, December.
    16. Ye Ding & Jiantong Zhang & Jiaqing Sun, 2022. "Branch-and-Price-and-Cut for the Heterogeneous Fleet and Multi-Depot Static Bike Rebalancing Problem with Split Load," Sustainability, MDPI, vol. 14(17), pages 1-24, August.
    17. Rayane El Sibai & Khalil Challita & Jacques Bou Abdo & Jacques Demerjian, 2021. "A New User-Based Incentive Strategy for Improving Bike Sharing Systems’ Performance," Sustainability, MDPI, vol. 13(5), pages 1-18, March.
    18. Lv, Chang & Zhang, Chaoyong & Lian, Kunlei & Ren, Yaping & Meng, Leilei, 2022. "A two-echelon fuzzy clustering based heuristic for large-scale bike sharing repositioning problem," Transportation Research Part B: Methodological, Elsevier, vol. 160(C), pages 54-75.
    19. 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.
    20. Dongdong Feng & Lin Cheng & Mingyang Du, 2020. "Exploring the Impact of Dockless Bikeshare on Docked Bikeshare—A Case Study in London," Sustainability, MDPI, vol. 12(15), pages 1-18, July.
    21. Dandan Xu & Yang Bian & Jian Rong & Jiachuan Wang & Baocai Yin, 2019. "Study on Clustering of Free-Floating Bike-Sharing Parking Time Series in Beijing Subway Stations," Sustainability, MDPI, vol. 11(19), pages 1-20, September.
    22. Yongji Jia & Wang Zeng & Yanting Xing & Dong Yang & Jia Li, 2020. "The Bike-Sharing Rebalancing Problem Considering Multi-Energy Mixed Fleets and Traffic Restrictions," Sustainability, MDPI, vol. 13(1), pages 1-15, December.
    23. 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.

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