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Stochastic optimization models for a bike-sharing problem with transshipment

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  • Maggioni, Francesca
  • Cagnolari, Matteo
  • Bertazzi, Luca
  • Wallace, Stein W.

Abstract

We study the problem faced by a bike-sharing service provider who needs to manage a fleet of bikes over a set of bike-stations, each with given capacity and time-varying stochastic demand. In particular, we focus on One-way bike sharing systems with transshipment in which: (1) The user can pick up a bike at a station and drop it off at a different station; (2) Transshipment of bikes among stations is performed at the end of the day, to have the optimal number of bikes at each station at the beginning of the service on the next day. For this problem, we propose two-stage and multistage stochastic optimization models, to determine the optimal number of bikes to assign to each station at the beginning of the service. Numerical results are provided for the bike-sharing service “LaBiGi” in Bergamo (Italy), from which managerial insights are drawn.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:276:y:2019:i:1:p:272-283
    DOI: 10.1016/j.ejor.2018.12.031
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Francesca Maggioni & Matteo Cagnolari & Luca Bertazzi, 2019. "The value of the right distribution in stochastic programming with application to a Newsvendor problem," Computational Management Science, Springer, vol. 16(4), pages 739-758, October.
    3. 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.
    4. Zhou, Yaoming & Lin, Zeyu & Guan, Rui & Sheu, Jiuh-Biing, 2023. "Dynamic battery swapping and rebalancing strategies for e-bike sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 177(C).
    5. 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).
    6. Thays A. Oliveira & Yuri B. Gabrich & Helena Ramalhinho & Miquel Oliver & Miri W. Cohen & Luiz S. Ochi & Serigne Gueye & Fábio Protti & Alysson A. Pinto & Diógenes V. M. Ferreira & Igor M. Coelho & Vi, 2020. "Mobility, Citizens, Innovation and Technology in Digital and Smart Cities," Future Internet, MDPI, vol. 12(2), pages 1-27, January.
    7. Neumann-Saavedra, Bruno Albert & Mattfeld, Dirk Christian & Hewitt, Mike, 2021. "Assessing the operational impact of tactical planning models for bike-sharing redistribution," Transportation Research Part A: Policy and Practice, Elsevier, vol. 150(C), pages 216-235.
    8. 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.
    9. 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).
    10. 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.
    11. 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.
    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. Foschi, Rachele, 2023. "A Point Processes approach to bicycle sharing systems’ design and management," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    14. 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.

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