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Charging station location planning for electric trucks under demand and grid uncertainty

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Listed:
  • C'eline Pagnier
  • Tord Gunnar Holen
  • Thomas Haugen de Lange
  • Patrick Levin
  • Steffen J. S. Bakker
  • Peter Schutz

Abstract

Decarbonizing long-haul freight requires large-scale deployment of high-power charging infrastructure. This paper studies a multi-period charging station location problem that determines where and when to deploy charging capacity for battery-electric heavy-duty vehicles under uncertain future demand and local grid capacity availability. The problem is formulated as a two-stage stochastic mixed-integer program that maximizes covered electric freight flow. Feasible truck routes are generated a priori using a resource-constrained label-setting algorithm that enforces range limitations and driving-break regulations. To solve large-scale instances, an integer L-shaped decomposition method embedded in a branch-and-cut framework and accelerated by a deterministic warm start is implemented. Computational experiments are conducted on a nationwide Norwegian case study based on real candidate locations provided by a charging station operator. The approach solves instances intractable for a monolithic formulation and achieves near-optimal solutions within practical runtimes. For larger networks, the value of the stochastic solution is substantial, highlighting the importance of explicitly modeling uncertainty in long-term infrastructure planning. Optimal investments prioritize major freight corridors in early periods and subsequently reinforce and expand the network. Grid capacity constraints discourage large, concentrated stations and shift deployments toward more distributed layouts. Covered demand increases rapidly at low budget levels but exhibits diminishing returns as the network approaches saturation.

Suggested Citation

  • C'eline Pagnier & Tord Gunnar Holen & Thomas Haugen de Lange & Patrick Levin & Steffen J. S. Bakker & Peter Schutz, 2026. "Charging station location planning for electric trucks under demand and grid uncertainty," Papers 2603.01782, arXiv.org.
  • Handle: RePEc:arx:papers:2603.01782
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    References listed on IDEAS

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    1. Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2015. "Benders Decomposition for Production Routing Under Demand Uncertainty," Operations Research, INFORMS, vol. 63(4), pages 851-867, August.
    2. Kabli, Mohannad & Quddus, Md Abdul & Nurre, Sarah G. & Marufuzzaman, Mohammad & Usher, John M., 2020. "A stochastic programming approach for electric vehicle charging station expansion plans," International Journal of Production Economics, Elsevier, vol. 220(C).
    3. Yıldız, Barış & Arslan, Okan & Karaşan, Oya Ekin, 2016. "A branch and price approach for routing and refueling station location model," European Journal of Operational Research, Elsevier, vol. 248(3), pages 815-826.
    4. Ho-Yin Mak & Ying Rong & Zuo-Jun Max Shen, 2013. "Infrastructure Planning for Electric Vehicles with Battery Swapping," Management Science, INFORMS, vol. 59(7), pages 1557-1575, July.
    5. de Vries, Harwin & Duijzer, Evelot, 2017. "Incorporating driving range variability in network design for refueling facilities," Omega, Elsevier, vol. 69(C), pages 102-114.
    6. Gustavo Angulo & Shabbir Ahmed & Santanu S. Dey, 2016. "Improving the Integer L-Shaped Method," INFORMS Journal on Computing, INFORMS, vol. 28(3), pages 483-499, August.
    7. Hosseini, Meysam & MirHassani, S.A., 2015. "Refueling-station location problem under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 84(C), pages 101-116.
    8. Kuby, Michael & Lim, Seow, 2005. "The flow-refueling location problem for alternative-fuel vehicles," Socio-Economic Planning Sciences, Elsevier, vol. 39(2), pages 125-145, June.
    9. Chung, Sung Hoon & Kwon, Changhyun, 2015. "Multi-period planning for electric car charging station locations: A case of Korean Expressways," European Journal of Operational Research, Elsevier, vol. 242(2), pages 677-687.
    10. Zhang, Anpeng & Kang, Jee Eun & Kwon, Changhyun, 2017. "Incorporating demand dynamics in multi-period capacitated fast-charging location planning for electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 5-29.
    11. Bakker, Steffen J.S. & Martin, Jonas & van Beesten, E. Ruben & Brynildsen, Ingvild Synnøve & Sandvig, Anette & Siqveland, Marit & Golab, Antonia, 2025. "STraM: A strategic network design model for national freight transport decarbonization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 197(C).
    12. Marianne Guillet & Gerhard Hiermann & Alexander Kröller & Maximilian Schiffer, 2022. "Electric Vehicle Charging Station Search in Stochastic Environments," Transportation Science, INFORMS, vol. 56(2), pages 483-500, March.
    13. Yıldız, Barış & Olcaytu, Evren & Şen, Ahmet, 2019. "The urban recharging infrastructure design problem with stochastic demands and capacitated charging stations," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 22-44.
    14. Quddus, Md Abdul & Kabli, Mohannad & Marufuzzaman, Mohammad, 2019. "Modeling electric vehicle charging station expansion with an integration of renewable energy and Vehicle-to-Grid sources," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 251-279.
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