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Optimal Electric Bus Charging Scheduling with Multiple Vehicle and Charger Types Considering Compatibility

Author

Listed:
  • Mingye Zhang

    (School of Transportation, Southeast University, Nanjing 211189, China)

  • Moataz Mohamed

    (Department of Civil Engineering, McMaster University, 1280 Main Street West, Hamilton, ON L8S 4L8, Canada)

  • Ahmed Foda

    (Department of Civil Engineering, McMaster University, 1280 Main Street West, Hamilton, ON L8S 4L8, Canada)

  • Yihua Guo

    (School of Transportation, Southeast University, Nanjing 211189, China)

Abstract

Battery electric buses (BEBs) are a sustainable and environmentally friendly solution for modern transit systems, offering zero tailpipe emissions and reduced noise pollution. However, due to the relatively short driving range and limited charging resources, it is crucial to jointly optimize the BEB fleet, charging schedules, and charging infrastructure to improve operational efficiency. This study proposes a BEB charging scheduling method with multiple types of vehicles and chargers. In particular, a partial charging strategy, charging continuity, and the compatibility of vehicles with chargers are incorporated. We first formulate a mixed-integer programming model to minimize the total costs of the BEB transit system, including the purchase costs of chargers, fleet composition costs, and electricity costs. Then, a column generation (CG) algorithm is designed to solve the model, and a case study based on a real transit network in Nanjing, China, was conducted. The results verify the effectiveness of the proposed model and algorithm. The findings in this study provide practical guidance on BEB charging scheduling and promote the sustainable development of bus transit systems.

Suggested Citation

  • Mingye Zhang & Moataz Mohamed & Ahmed Foda & Yihua Guo, 2025. "Optimal Electric Bus Charging Scheduling with Multiple Vehicle and Charger Types Considering Compatibility," Sustainability, MDPI, vol. 17(8), pages 1-22, April.
    • Handle: RePEc:gam:jsusta:v:17:y:2025:i:8:p:3294-:d:1630095
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    References listed on IDEAS

    as
    1. Zhang, Mingye & Yang, Min & Gao, Yangfan, 2024. "Tripartite evolutionary game and simulation analysis of electric bus charging facility sharing under the governmental reward and punishment mechanism," Energy, Elsevier, vol. 307(C).
    2. Qin, Nan & Gusrialdi, Azwirman & Paul Brooker, R. & T-Raissi, Ali, 2016. "Numerical analysis of electric bus fast charging strategies for demand charge reduction," Transportation Research Part A: Policy and Practice, Elsevier, vol. 94(C), pages 386-396.
    3. Liu, Lu & Zhou, Kaile, 2022. "Electric vehicle charging scheduling considering urgent demand under different charging modes," Energy, Elsevier, vol. 249(C).
    4. Jing-Quan Li, 2014. "Transit Bus Scheduling with Limited Energy," Transportation Science, INFORMS, vol. 48(4), pages 521-539, November.
    5. Li, Yanhao & Li, Xin & Zhang, Chengdong & Zhang, Yanxi, 2024. "Optimizing the photovoltaic-assisted electric bus network with rooftop energy supply," Renewable Energy, Elsevier, vol. 234(C).
    6. Zhou, Yu & Meng, Qiang & Ong, Ghim Ping, 2022. "Electric Bus Charging Scheduling for a Single Public Transport Route Considering Nonlinear Charging Profile and Battery Degradation Effect," Transportation Research Part B: Methodological, Elsevier, vol. 159(C), pages 49-75.
    7. He, Yi & Liu, Zhaocai & Song, Ziqi, 2020. "Optimal charging scheduling and management for a fast-charging battery electric bus system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    8. Rogge, Matthias & van der Hurk, Evelien & Larsen, Allan & Sauer, Dirk Uwe, 2018. "Electric bus fleet size and mix problem with optimization of charging infrastructure," Applied Energy, Elsevier, vol. 211(C), pages 282-295.
    9. Tian, Jingjing & Jia, Hongfei & Wang, Guanfeng & Huang, Qiuyang & Wu, Ruiyi & Gao, Heyao & Liu, Chao, 2024. "Integrated optimization of charging infrastructure, fleet size and vehicle operation in shared autonomous electric vehicle system considering vehicle-to-grid," Renewable Energy, Elsevier, vol. 229(C).
    10. Zhang, Le & Wang, Shuaian & Qu, Xiaobo, 2021. "Optimal electric bus fleet scheduling considering battery degradation and non-linear charging profile," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    11. Antti Ritari & Jari Vepsäläinen & Klaus Kivekäs & Kari Tammi & Heikki Laitinen, 2020. "Energy Consumption and Lifecycle Cost Analysis of Electric City Buses with Multispeed Gearboxes," Energies, MDPI, vol. 13(8), pages 1-21, April.
    12. Bie, Yiming & Liu, Yajun & Li, Shiwu & Wang, Linhong, 2022. "HVAC operation planning for electric bus trips based on chance-constrained programming," Energy, Elsevier, vol. 258(C).
    13. Wang, Yongxing & Liao, Feixiong & Bi, Jun & Lu, Chaoru, 2024. "Optimal battery electric bus system planning considering heterogeneous vehicles, opportunity charging, and battery degradation," Renewable Energy, Elsevier, vol. 237(PA).
    14. Foda, Ahmed & Abdelaty, Hatem & Mohamed, Moataz & El-Saadany, Ehab, 2023. "A generic cost-utility-emission optimization for electric bus transit infrastructure planning and charging scheduling," Energy, Elsevier, vol. 277(C).
    15. Xu, Yueru & Zheng, Yuan & Yang, Ying, 2021. "On the movement simulations of electric vehicles: A behavioral model-based approach," Applied Energy, Elsevier, vol. 283(C).
    16. Gallet, Marc & Massier, Tobias & Hamacher, Thomas, 2018. "Estimation of the energy demand of electric buses based on real-world data for large-scale public transport networks," Applied Energy, Elsevier, vol. 230(C), pages 344-356.
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