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Charging Scheduling of Electric Vehicles Considering Uncertain Arrival Times and Time-of-Use Price

Author

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  • Zhaojie Wang

    (Business School, Ningbo University, Ningbo 315211, China
    Merchants’ Guild Economics and Cultural Intelligent Computing Laboratory, Ningbo University, Ningbo 315211, China)

  • Feifeng Zheng

    (Glorious Sun School of Business and Management, Donghua University, Shanghai 200051, China)

  • Ming Liu

    (School of Economics and Management, Tongji University, Shanghai 200092, China)

Abstract

To advance sustainable transportation solutions, this work investigates an electric vehicle charging scheduling problem under the uncertainty of vehicle arrival times. Given a set of appointed electric vehicles, the objective of the considered problem is to explore charging strategies that minimize the total charging cost for the charging station. To address this problem, this work first establishes a mixed-integer programming model. Then, an enhanced sample average approximation approach alongside two versions of distribution-free approaches are applied to solve the studied problem. Additionally, this study introduces a BP neural network-enhanced distribution-free approach to efficiently resolve the problem. Finally, numerical experiments are conducted to demonstrate the effectiveness of the proposed approaches.

Suggested Citation

  • Zhaojie Wang & Feifeng Zheng & Ming Liu, 2025. "Charging Scheduling of Electric Vehicles Considering Uncertain Arrival Times and Time-of-Use Price," Sustainability, MDPI, vol. 17(3), pages 1-22, January.
  • Handle: RePEc:gam:jsusta:v:17:y:2025:i:3:p:1100-:d:1579794
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    References listed on IDEAS

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    1. Xu, Min & Meng, Qiang, 2019. "Fleet sizing for one-way electric carsharing services considering dynamic vehicle relocation and nonlinear charging profile," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 23-49.
    2. Zhao, Zhonghao & Lee, Carman K.M. & Ren, Jingzheng, 2024. "A two-level charging scheduling method for public electric vehicle charging stations considering heterogeneous demand and nonlinear charging profile," Applied Energy, Elsevier, vol. 355(C).
    3. Ons Sassi & Ammar Oulamara, 2017. "Electric vehicle scheduling and optimal charging problem: complexity, exact and heuristic approaches," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 519-535, January.
    4. Ng, ManWo, 2014. "Distribution-free vessel deployment for liner shipping," European Journal of Operational Research, Elsevier, vol. 238(3), pages 858-862.
    5. Luo, Yugong & Feng, Guixuan & Wan, Shuang & Zhang, Shuwei & Li, Victor & Kong, Weiwei, 2020. "Charging scheduling strategy for different electric vehicles with optimization for convenience of drivers, performance of transport system and distribution network," Energy, Elsevier, vol. 194(C).
    6. Diefenbach, Heiko & Emde, Simon & Glock, Christoph H., 2023. "Multi-depot electric vehicle scheduling in in-plant production logistics considering non-linear charging models," European Journal of Operational Research, Elsevier, vol. 306(2), pages 828-848.
    7. Wu, Ji & Su, Hao & Meng, Jinhao & Lin, Mingqiang, 2023. "Electric vehicle charging scheduling considering infrastructure constraints," Energy, Elsevier, vol. 278(PA).
    8. Park, Keonwoo & Moon, Ilkyeong, 2022. "Multi-agent deep reinforcement learning approach for EV charging scheduling in a smart grid," Applied Energy, Elsevier, vol. 328(C).
    9. Diefenbach, Heiko & Emde, Simon & Glock, C. H., 2023. "Multi-depot electric vehicle scheduling in in-plant production logistics considering non-linear charging models," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 135964, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    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. Ke, Bwo-Ren & Chung, Chen-Yuan & Chen, Yen-Chang, 2016. "Minimizing the costs of constructing an all plug-in electric bus transportation system: A case study in Penghu," Applied Energy, Elsevier, vol. 177(C), pages 649-660.
    12. Emelogu, Adindu & Chowdhury, Sudipta & Marufuzzaman, Mohammad & Bian, Linkan & Eksioglu, Burak, 2016. "An enhanced sample average approximation method for stochastic optimization," International Journal of Production Economics, Elsevier, vol. 182(C), pages 230-252.
    13. Ullah, Zia & Wang, Shaorong & Wu, Guan & Hasanien, Hany M. & Rehman, Anis Ur & Turky, Rania A. & Elkadeem, Mohamed R., 2023. "Optimal scheduling and techno-economic analysis of electric vehicles by implementing solar-based grid-tied charging station," Energy, Elsevier, vol. 267(C).
    14. Feifeng Zheng & Zhaojie Wang & Ming Liu, 2022. "Overnight charging scheduling of battery electric buses with uncertain charging time," Operational Research, Springer, vol. 22(5), pages 4865-4903, November.
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