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Optimizing Multi-Depot Mixed Fleet Vehicle–Drone Routing Under a Carbon Trading Mechanism

Author

Listed:
  • Yong Peng

    (School of Traffic and Transportation, Chongqing Jiaotong University, Chongqing 400074, China)

  • Yanlong Zhang

    (School of Traffic and Transportation, Chongqing Jiaotong University, Chongqing 400074, China)

  • Dennis Z. Yu

    (The David D. Reh School of Business, Clarkson University, Potsdam, NY 13699, USA)

  • Song Liu

    (School of Traffic and Transportation, Chongqing Jiaotong University, Chongqing 400074, China)

  • Yali Zhang

    (School of Traffic and Transportation, Chongqing Jiaotong University, Chongqing 400074, China)

  • Yangyan Shi

    (Macquarie Business School, Macquarie University, Sydney, NSW 2109, Australia)

Abstract

The global pursuit of carbon neutrality requires the reduction of carbon emissions in logistics and distribution. The integration of electric vehicles (EVs) and drones in a collaborative delivery model revolutionizes last-mile delivery by significantly reducing operating costs and enhancing delivery efficiency while supporting environmental objectives. This paper presents a cost-minimization model that addresses transportation, energy, and carbon trade costs within a cap-and-trade framework. We develop a multi-depot mixed fleet, including electric and fuel vehicles, and a drone collaborative delivery routing optimization model. This model incorporates key factors such as nonlinear EV charging times, time-dependent travel conditions, and energy consumption. We propose an adaptive large neighborhood search algorithm integrating spatiotemporal distance (ALNS-STD) to solve this complex model. This algorithm introduces five domain-specific operators and an adaptive adjustment mechanism to improve solution quality and efficiency. Our computational experiments demonstrate the effectiveness of the ALNS-STD, showing its ability to optimize routes by accounting for both spatial and temporal factors. Furthermore, we analyze the influence of charging station distribution and carbon trading mechanisms on overall delivery costs and route planning, underscoring the global significance of our findings.

Suggested Citation

  • Yong Peng & Yanlong Zhang & Dennis Z. Yu & Song Liu & Yali Zhang & Yangyan Shi, 2024. "Optimizing Multi-Depot Mixed Fleet Vehicle–Drone Routing Under a Carbon Trading Mechanism," Mathematics, MDPI, vol. 12(24), pages 1-33, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:24:p:4023-:d:1549825
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    References listed on IDEAS

    as
    1. Zhang, Jing & Yan, Jie & Liu, Yongqian & Zhang, Haoran & Lv, Guoliang, 2020. "Daily electric vehicle charging load profiles considering demographics of vehicle users," Applied Energy, Elsevier, vol. 274(C).
    2. Qi Yao & Shenjun Zhu & Yanhui Li, 2022. "Green Vehicle-Routing Problem of Fresh Agricultural Products Considering Carbon Emission," IJERPH, MDPI, vol. 19(14), pages 1-17, July.
    3. Qinxin Xiao & Jiaojiao Gao, 2024. "The Multi-Visit Vehicle Routing Problem with Drones under Carbon Trading Mechanism," Sustainability, MDPI, vol. 16(14), pages 1-22, July.
    4. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2012. "An adaptive large neighborhood search heuristic for the Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 223(2), pages 346-359.
    5. Chiang, Wen-Chyuan & Li, Yuyu & Shang, Jennifer & Urban, Timothy L., 2019. "Impact of drone delivery on sustainability and cost: Realizing the UAV potential through vehicle routing optimization," Applied Energy, Elsevier, vol. 242(C), pages 1164-1175.
    6. Montoya, Alejandro & Guéret, Christelle & Mendoza, Jorge E. & Villegas, Juan G., 2017. "The electric vehicle routing problem with nonlinear charging function," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 87-110.
    7. Changlu Zhang & Liqian Tang & Jian Zhang & Liming Gou, 2023. "Optimizing Distribution Routes for Chain Supermarket Considering Carbon Emission Cost," Mathematics, MDPI, vol. 11(12), pages 1-20, June.
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