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The Static Bike Sharing Rebalancing Problem with Forbidden Temporary Operations

Author

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  • Bruno P. Bruck

    (Department of Sciences and Methods for Engineering, University of Modena and Reggio Emilia, 42122 Reggio Emilia, Italy; Centro de Informática, Universidade Federal da Paraíba, João Pessoa, 58056-010, Brazil)

  • Fábio Cruz

    (Centro de Informática, Universidade Federal da Paraíba, João Pessoa, 58056-010, Brazil)

  • Manuel Iori

    (Department of Sciences and Methods for Engineering, University of Modena and Reggio Emilia, 42122 Reggio Emilia, Italy)

  • Anand Subramanian

    (Centro de Informática, Universidade Federal da Paraíba, João Pessoa, 58056-010, Brazil)

Abstract

This paper introduces and solves the static bike rebalancing problem with forbidden temporary operations. In this problem, one aims at finding a minimum cost route in which a vehicle performs a series of pickup and delivery operations while satisfying demand and capacity constraints. In addition, a vehicle can visit stations multiple times but cannot use them to temporarily store or provide bikes. Apart from bike rebalancing, the problem also models courier service transportation and repositioning of inventory between retail stores, where temporary operations are frequently disliked because they require additional manual work and service time. We present some theoretical results concerning problem complexity and worst-case analysis, and then propose three exact algorithms based on different mathematical formulations. Extensive computational results on instances involving up to 80 stations show that an exact algorithm based on a minimal extended network produces the best average results. The online appendix is available at https://doi.org/10.1287/trsc.2018.0859 .

Suggested Citation

  • Bruno P. Bruck & Fábio Cruz & Manuel Iori & Anand Subramanian, 2019. "The Static Bike Sharing Rebalancing Problem with Forbidden Temporary Operations," Transportation Science, INFORMS, vol. 53(3), pages 882-896, May.
    • Handle: RePEc:inm:ortrsc:v:53:y:2019:i:3:p:882-896
    DOI: 10.1287/trsc.2018.0859
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    References listed on IDEAS

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    2. van der Laan, Niels & Teunter, Ruud H. & Romeijnders, Ward & Kilic, Onur A., 2022. "The data-driven newsvendor problem: Achieving on-target service-levels using distributionally robust chance-constrained optimization," International Journal of Production Economics, Elsevier, vol. 249(C).
    3. Li, Jiliu & Qin, Hu & Baldacci, Roberto & Zhu, Wenbin, 2020. "Branch-and-price-and-cut for the synchronized vehicle routing problem with split delivery, proportional service time and multiple time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    4. 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).
    5. Jiaqing Sun & Yulin He & Jiantong Zhang, 2023. "A Cluster-Then-Route Framework for Bike Rebalancing in Free-Floating Bike-Sharing Systems," Sustainability, MDPI, vol. 15(22), pages 1-33, November.
    6. Gu, Wei & Yu, Xiaoru & Zhang, Shichen & Yan, Xiangbin & Wang, Chen, 2023. "To outsource or not: Bike-share rebalancing strategies under the service quality deviation of a third party," European Journal of Operational Research, Elsevier, vol. 310(2), pages 847-859.
    7. 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).
    8. 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.
    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. Lv, Chang & Zhang, Chaoyong & Lian, Kunlei & Ren, Yaping & Meng, Leilei, 2020. "A hybrid algorithm for the static bike-sharing re-positioning problem based on an effective clustering strategy," Transportation Research Part B: Methodological, Elsevier, vol. 140(C), pages 1-21.
    11. Albert Einstein Fernandes Muritiba & Tibérius O. Bonates & Stênio Oliveira Da Silva & Manuel Iori, 2021. "Branch-and-Cut and Iterated Local Search for the Weighted k -Traveling Repairman Problem: An Application to the Maintenance of Speed Cameras," Transportation Science, INFORMS, vol. 55(1), pages 139-159, 1-2.

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