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The static bike relocation problem with multiple vehicles and visits

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  • Bulhões, Teobaldo
  • Subramanian, Anand
  • Erdoğan, Güneş
  • Laporte, Gilbert

Abstract

This paper introduces the static bike relocation problem with multiple vehicles and visits, the objective of which is to rebalance at minimum cost the stations of a bike sharing system using a fleet of vehicles. The vehicles have identical capacities and service time limits, and are allowed to visit the stations multiple times. We present an integer programming formulation, implemented under a branch-and-cut scheme, in addition to an iterated local search metaheuristic that employs efficient move evaluation procedures. Results of computational experiments on instances ranging from 10 to 200 vertices are provided and analyzed. We also examine the impact of the vehicle capacity and of the number of visits and vehicles on the performance of the proposed algorithms.

Suggested Citation

  • Bulhões, Teobaldo & Subramanian, Anand & Erdoğan, Güneş & Laporte, Gilbert, 2018. "The static bike relocation problem with multiple vehicles and visits," European Journal of Operational Research, Elsevier, vol. 264(2), pages 508-523.
    • Handle: RePEc:eee:ejores:v:264:y:2018:i:2:p:508-523
    DOI: 10.1016/j.ejor.2017.06.028
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    Cited by:

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    3. Jiliu Li & Zhixing Luo & Roberto Baldacci & Hu Qin & Zhou Xu, 2023. "A New Exact Algorithm for Single-Commodity Vehicle Routing with Split Pickups and Deliveries," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 31-49, January.
    4. Kwiatkowski Michał Adam, 2018. "Urban Cycling as an Indicator of Socio-Economic Innovation and Sustainable Transport," Quaestiones Geographicae, Sciendo, vol. 37(4), pages 23-32, December.
    5. Chuanxiang Ren & Hui Xu & Changchang Yin & Liye Zhang & Chunxu Chai & Qiu Meng & Fangfang Fu, 2023. "Research on Hybrid Scheduling of Shared Bikes Based on MLP-GA Method," Sustainability, MDPI, vol. 15(24), pages 1-23, December.
    6. Vidal, Thibaut & Laporte, Gilbert & Matl, Piotr, 2020. "A concise guide to existing and emerging vehicle routing problem variants," European Journal of Operational Research, Elsevier, vol. 286(2), pages 401-416.
    7. Legros, Benjamin, 2019. "Dynamic repositioning strategy in a bike-sharing system; how to prioritize and how to rebalance a bike station," European Journal of Operational Research, Elsevier, vol. 272(2), pages 740-753.
    8. Horațiu Florian & Camelia Avram & Mihai Pop & Dan Radu & Adina Aștilean, 2023. "Resources Relocation Support Strategy Based on a Modified Genetic Algorithm for Bike-Sharing Systems," Mathematics, MDPI, vol. 11(8), pages 1-32, April.
    9. 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.
    10. 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).
    11. 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.
    12. 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.
    13. Casazza, Marco & Ceselli, Alberto & Wolfler Calvo, Roberto, 2021. "A route decomposition approach for the single commodity Split Pickup and Split Delivery Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 289(3), pages 897-911.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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).
    19. Gu, Yewen & Wallace, Stein W., 2021. "Operational benefits of autonomous vessels in logistics—A case of autonomous water-taxis in Bergen," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    20. Xue Bai & Ning Ma & Kwai-Sang Chin, 2022. "Hybrid Heuristic for the Multi-Depot Static Bike Rebalancing and Collection Problem," Mathematics, MDPI, vol. 10(23), pages 1-28, December.
    21. Gu, Wei & Li, Meng & Wang, Chen & Shang, Jennifer & Wei, Lirong, 2021. "Strategic sourcing selection for bike-sharing rebalancing: An evolutionary game approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).

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