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Optimization of electric bus vehicle scheduling and charging strategies under Time-of-Use electricity price

Author

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  • Lu, Zhaoyang
  • Xing, Tianyi
  • Li, Yanfeng

Abstract

With the growing awareness of environmental protection and energy conservation, more and more cities choose to utilize electric buses (EBs) in their public transit systems. Due to the limitations of battery technology, many fully charged EBs are not enough to complete their daily tasks, which must be charged twice or more times per day. Besides, many cities encourage the off-peak electricity power consumption, and the charging cost of EBs during peak hours is often extremely high. From an economic viewpoint, it is thus one practical and urgent problem on how to decide the fleet size of EBs and organize their charging schedules for the bus companies. To solve this problem, this manuscript builds a mixed-integer programming (MIP) model via taking the scheduling and charging constraints of EBs into consideration. Also, one dynamic label setting-based branch and price (DLS-BP) algorithm is proposed accordingly, whose efficiency is further verified and compared with two heuristic algorithms via some numerical experiments.

Suggested Citation

  • Lu, Zhaoyang & Xing, Tianyi & Li, Yanfeng, 2025. "Optimization of electric bus vehicle scheduling and charging strategies under Time-of-Use electricity price," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:transe:v:196:y:2025:i:c:s1366554525000626
    DOI: 10.1016/j.tre.2025.104021
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    1. Manzolli, Jônatas Augusto & Trovão, João Pedro & Antunes, Carlos Henggeler, 2022. "A review of electric bus vehicles research topics – Methods and trends," Renewable and Sustainable Energy Reviews, Elsevier, vol. 159(C).
    2. Gkiotsalitis, K. & Iliopoulou, C. & Kepaptsoglou, K., 2023. "An exact approach for the multi-depot electric bus scheduling problem with time windows," European Journal of Operational Research, Elsevier, vol. 306(1), pages 189-206.
    3. Battaïa, Olga & Dolgui, Alexandre & Guschinsky, Nikolai & Kovalyov, Mikhail Y., 2023. "Designing fast-charge urban electric bus services: An Integer Linear Programming model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
    4. Yiming Bie & Mingjie Hao & Mengzhu Guo, 2021. "Optimal Electric Bus Scheduling Based on the Combination of All-Stop and Short-Turning Strategies," Sustainability, MDPI, vol. 13(4), pages 1-21, February.
    5. George B. Dantzig & Philip Wolfe, 1960. "Decomposition Principle for Linear Programs," Operations Research, INFORMS, vol. 8(1), pages 101-111, February.
    6. Wang, Yusheng & Huang, Yongxi & Xu, Jiuping & Barclay, Nicole, 2017. "Optimal recharging scheduling for urban electric buses: A case study in Davis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 100(C), pages 115-132.
    7. Yuhuan Liu & Enjian Yao & Muyang Lu & Ling Yuan, 2019. "Regional Electric Bus Driving Plan Optimization Algorithm considering Charging Time Window," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, October.
    8. Alwesabi, Yaseen & Wang, Yong & Avalos, Raul & Liu, Zhaocai, 2020. "Electric bus scheduling under single depot dynamic wireless charging infrastructure planning," Energy, Elsevier, vol. 213(C).
    9. Raka Jovanovic & Islam Safak Bayram & Sertac Bayhan & Stefan Voß, 2021. "A GRASP Approach for Solving Large-Scale Electric Bus Scheduling Problems," Energies, MDPI, vol. 14(20), pages 1-23, October.
    10. Cong, Yuan & Wang, Heqi & Bie, Yiming & Wu, Jiabin, 2023. "Double-battery configuration method for electric bus operation in cold regions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 180(C).
    11. Nanaki, Evanthia A. & Koroneos, Christopher J., 2016. "Climate change mitigation and deployment of electric vehicles in urban areas," Renewable Energy, Elsevier, vol. 99(C), pages 1153-1160.
    12. Perumal, Shyam S.G. & Lusby, Richard M. & Larsen, Jesper, 2022. "Electric bus planning & scheduling: A review of related problems and methodologies," European Journal of Operational Research, Elsevier, vol. 301(2), pages 395-413.
    13. Matthias Rogge & Sebastian Wollny & Dirk Uwe Sauer, 2015. "Fast Charging Battery Buses for the Electrification of Urban Public Transport—A Feasibility Study Focusing on Charging Infrastructure and Energy Storage Requirements," Energies, MDPI, vol. 8(5), pages 1-20, May.
    14. Moshe Dror, 1994. "Note on the Complexity of the Shortest Path Models for Column Generation in VRPTW," Operations Research, INFORMS, vol. 42(5), pages 977-978, October.
    15. Woo, Hyeon & Son, Yongju & Cho, Jintae & Kim, Sung-Yul & Choi, Sungyun, 2023. "Optimal expansion planning of electric vehicle fast charging stations," Applied Energy, Elsevier, vol. 342(C).
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