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Repositioning in bike sharing systems with broken bikes considering on-site repairs

Author

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  • Hu, Runqiu
  • Szeto, W.Y.
  • Ho, Sin C.

Abstract

On-site repairs by repairers can handle broken bikes in a bike-sharing system and simultaneously satisfy usable bike demand without requiring vehicle repositioning for off-site repairs. However, this option has not been jointly considered with vehicle-based repositioning for both usable and broken bikes in the literature to improve repositioning performance. This paper presents a mixed-integer linear programming model for a static bike repositioning problem that combines vehicle-based bike delivery/collection with labor-based on-site repairs, aiming to minimize the total cost of user dissatisfaction and carbon emissions within a time budget. A hybrid algorithm, consisting of hybrid genetic search with adaptive diversity control and a station budget constrained heuristic, is proposed to solve the problem. This method introduces a station budget concept to limit the time spent at each station by considering the benefit-cost ratio function of each station along the route. The proposed algorithm is evaluated on networks of various sizes and configurations of the number of trucks and repairers. The results demonstrate that the algorithm can obtain optimal solutions on small instances and can outperform a commercial solver on larger networks in achieving superior solutions within a fraction of the computational time. Moreover, we investigated the cost-effectiveness of introducing repairers, revealing that long repair times and a low percentage of broken bikes diminish the effectiveness of introducing them.

Suggested Citation

  • Hu, Runqiu & Szeto, W.Y. & Ho, Sin C., 2025. "Repositioning in bike sharing systems with broken bikes considering on-site repairs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 201(C).
    • Handle: RePEc:eee:transe:v:201:y:2025:i:c:s1366554525001966
    DOI: 10.1016/j.tre.2025.104155
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    References listed on IDEAS

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    1. Li, Yanfeng & Szeto, W.Y. & Long, Jiancheng & Shui, C.S., 2016. "A multiple type bike repositioning problem," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 263-278.
    2. Tal Raviv & Ofer Kolka, 2013. "Optimal inventory management of a bike-sharing station," IISE Transactions, Taylor & Francis Journals, vol. 45(10), pages 1077-1093.
    3. Shi, Ziyi & Xu, Meng & Song, Yancun & Zhu, Zheng, 2024. "Multi-Platform dynamic game and operation of hybrid Bike-Sharing systems based on reinforcement learning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 181(C).
    4. Thibaut Vidal & Teodor Gabriel Crainic & Michel Gendreau & Nadia Lahrichi & Walter Rei, 2012. "A Hybrid Genetic Algorithm for Multidepot and Periodic Vehicle Routing Problems," Operations Research, INFORMS, vol. 60(3), pages 611-624, June.
    5. Zhang, Dong & Yu, Chuhang & Desai, Jitamitra & Lau, H.Y.K. & Srivathsan, Sandeep, 2017. "A time-space network flow approach to dynamic repositioning in bicycle sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 188-207.
    6. Alvarez-Valdes, Ramon & Belenguer, Jose M. & Benavent, Enrique & Bermudez, Jose D. & Muñoz, Facundo & Vercher, Enriqueta & Verdejo, Francisco, 2016. "Optimizing the level of service quality of a bike-sharing system," Omega, Elsevier, vol. 62(C), pages 163-175.
    7. Regue, Robert & Recker, Will, 2014. "Proactive vehicle routing with inferred demand to solve the bikesharing rebalancing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 192-209.
    8. Ho, Sin C. & Szeto, W.Y., 2014. "Solving a static repositioning problem in bike-sharing systems using iterated tabu search," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 69(C), pages 180-198.
    9. Cai, Yutong & Ong, Ghim Ping & Meng, Qiang, 2022. "Dynamic bicycle relocation problem with broken bicycles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 165(C).
    10. 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.
    11. Mor Kaspi & Tal Raviv & Michal Tzur, 2017. "Bike-sharing systems: User dissatisfaction in the presence of unusable bicycles," IISE Transactions, Taylor & Francis Journals, vol. 49(2), pages 144-158, February.
    12. Huang, Di & Chen, Xinyuan & Liu, Zhiyuan & Lyu, Cheng & Wang, Shuaian & Chen, Xuewu, 2020. "A static bike repositioning model in a hub-and-spoke network framework," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    13. Kaspi, Mor & Raviv, Tal & Tzur, Michal, 2016. "Detection of unusable bicycles in bike-sharing systems," Omega, Elsevier, vol. 65(C), pages 10-16.
    14. 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.
    15. Franceschetti, Anna & Honhon, Dorothée & Van Woensel, Tom & Bektaş, Tolga & Laporte, Gilbert, 2013. "The time-dependent pollution-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 265-293.
    16. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2014. "A unified solution framework for multi-attribute vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 234(3), pages 658-673.
    17. 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).
    18. 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).
    19. Marian Rainer-Harbach & Petrina Papazek & Günther Raidl & Bin Hu & Christian Kloimüllner, 2015. "PILOT, GRASP, and VNS approaches for the static balancing of bicycle sharing systems," Journal of Global Optimization, Springer, vol. 63(3), pages 597-629, November.
    20. Ho, Sin C. & Szeto, W.Y., 2017. "A hybrid large neighborhood search for the static multi-vehicle bike-repositioning problem," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 340-363.
    21. Forma, Iris A. & Raviv, Tal & Tzur, Michal, 2015. "A 3-step math heuristic for the static repositioning problem in bike-sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 230-247.
    22. 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).
    23. 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).
    24. Chang, Ximing & Wu, Jianjun & Sun, Huijun & Correia, Gonçalo Homem de Almeida & Chen, Jianhua, 2021. "Relocating operational and damaged bikes in free-floating systems: A data-driven modeling framework for level of service enhancement," Transportation Research Part A: Policy and Practice, Elsevier, vol. 153(C), pages 235-260.
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