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Bike sharing rebalancing problem with variable demand

Author

Listed:
  • Wang, Xu
  • Sun, Huijun
  • Zhang, Si
  • Lv, Ying
  • Li, Tongfei

Abstract

This paper investigates an extended bike-sharing rebalancing problem called the bike-sharing rebalancing problem with variable demand (BRPVD), which considers the influence of the number of bikes distributed by the operator on users’ demand. The solutions to the BRPVD aim at maximizing the profit of bike-sharing operators by making routing plans of transport vehicles and determining the target number of bikes at each station after redistribution operation. The problem is modeled as a mixed-integer non-linear programming model and is linearized into a mixed-inter linear programming model. The model is tested in cases adopting real Beijing Mobike data, revealing that the rebalancing behavior significantly impacts users’ demand, hence guiding the operator.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:591:y:2022:i:c:s0378437121009559
    DOI: 10.1016/j.physa.2021.126766
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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. Szeto, W.Y. & Shui, C.S., 2018. "Exact loading and unloading strategies for the static multi-vehicle bike repositioning problem," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 176-211.
    3. 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.
    4. 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).
    5. Xu, Min & Meng, Qiang & Liu, Zhiyuan, 2018. "Electric vehicle fleet size and trip pricing for one-way carsharing services considering vehicle relocation and personnel assignment," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 60-82.
    6. 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.
    7. 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.
    8. Turkensteen, Marcel, 2017. "The accuracy of carbon emission and fuel consumption computations in green vehicle routing," European Journal of Operational Research, Elsevier, vol. 262(2), pages 647-659.
    9. Erdoğan, Güneş & Laporte, Gilbert & Wolfler Calvo, Roberto, 2014. "The static bicycle relocation problem with demand intervals," European Journal of Operational Research, Elsevier, vol. 238(2), pages 451-457.
    10. 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.
    11. Dell'Amico, Mauro & Hadjicostantinou, Eleni & Iori, Manuel & Novellani, Stefano, 2014. "The bike sharing rebalancing problem: Mathematical formulations and benchmark instances," Omega, Elsevier, vol. 45(C), pages 7-19.
    12. 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.
    13. Schuijbroek, J. & Hampshire, R.C. & van Hoeve, W.-J., 2017. "Inventory rebalancing and vehicle routing in bike sharing systems," European Journal of Operational Research, Elsevier, vol. 257(3), pages 992-1004.
    14. Redondo, Juana L. & Fernández, José & Arrondo, Aránzazu G. & García, Inmaculada & Ortigosa, Pilar M., 2012. "Fixed or variable demand? Does it matter when locating a facility?," Omega, Elsevier, vol. 40(1), pages 9-20, January.
    15. 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.
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    2. Hua, Mingzhuang & Chen, Xuewu & Chen, Jingxu & Huang, Di & Cheng, Long, 2022. "Large-scale dockless bike sharing repositioning considering future usage and workload balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

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