IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v405y2026ics0306261925019464.html

Joint optimization of charging infrastructure and fleet mix for CO₂-constrained feeder services

Author

Listed:
  • Nakao, Haruko
  • Ma, Tai-Yu
  • Connors, Richard D.
  • Viti, Francesco

Abstract

This study addresses the electrification of demand-responsive feeder services, a form of public transport designed to connect rural and low-demand areas to mass transit hubs. Electrifying demand-responsive transport requires planning the charging infrastructure carefully, considering the trade-offs of charging efficiency and charging infrastructure costs. This study addresses the joint planning of fleet size and charging infrastructure for a demand-responsive feeder service under stochastic demand, given a user-defined CO2 emissions reduction policy. We propose a bi-level optimization model where the upper-level determines charging station configuration given stochastic demand, and the lower-level solves a mix fleet feeder (first and last mile) service routing problem under the CO2 emission and capacitated charging station constraints. An efficient deterministic annealing metaheuristic is proposed to solve the CO2-constrained mixed fleet routing problem. The metaheuristic solves up to 500 requests within 3 min, demonstrating the practical applicability of the proposed solution. We applied the model to a real-world case study in Bettembourg, Luxembourg, with two types of electric minibuses and gasoline ones, under different CO₂ reduction targets considering rapid (125 kW) and super-fast (220 kW) chargers, given 200 requests per day. The results show that using 24-seat minibuses leads to significant cost savings (−49 % on average) compared to that of 10-seat minibuses. Due to their larger battery capacity, charger availability has a smaller impact on the operational costs of 24-seat minibuses. The proposed method provides a flexible tool for joint charging infrastructure and fleet size planning.

Suggested Citation

  • Nakao, Haruko & Ma, Tai-Yu & Connors, Richard D. & Viti, Francesco, 2026. "Joint optimization of charging infrastructure and fleet mix for CO₂-constrained feeder services," Applied Energy, Elsevier, vol. 405(C).
  • Handle: RePEc:eee:appene:v:405:y:2026:i:c:s0306261925019464
    DOI: 10.1016/j.apenergy.2025.127216
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261925019464
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2025.127216?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Ma, Tai-Yu & Rasulkhani, Saeid & Chow, Joseph Y.J. & Klein, Sylvain, 2019. "A dynamic ridesharing dispatch and idle vehicle repositioning strategy with integrated transit transfers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 417-442.
    2. Rinaldi, Marco & Picarelli, Erika & D'Ariano, Andrea & Viti, Francesco, 2020. "Mixed-fleet single-terminal bus scheduling problem: Modelling, solution scheme and potential applications," Omega, Elsevier, vol. 96(C).
    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. Cordeau, Jean-François & Laporte, Gilbert, 2003. "A tabu search heuristic for the static multi-vehicle dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 579-594, July.
    5. Li, Xin & Wang, Tianqi & Xu, Weihan & Li, Huaiyue & Yuan, Yun, 2022. "A novel model and algorithm for designing an eco-oriented demand responsive transit (DRT) system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    6. Chen, T. Donna & Kockelman, Kara M. & Hanna, Josiah P., 2016. "Operations of a shared, autonomous, electric vehicle fleet: Implications of vehicle & charging infrastructure decisions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 94(C), pages 243-254.
    7. 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.
    8. Ma, Tai-Yu & Fang, Yumeng & Connors, Richard D. & Viti, Francesco & Nakao, Haruko, 2024. "A hybrid metaheuristic to optimize electric first-mile feeder services with charging synchronization constraints and customer rejections," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 185(C).
    9. Zhang, Zhenying & Wang, Jiayu & Feng, Xu & Chang, Li & Chen, Yanhua & Wang, Xingguo, 2018. "The solutions to electric vehicle air conditioning systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 443-463.
    10. Bongiovanni, Claudia & Kaspi, Mor & Geroliminis, Nikolas, 2019. "The electric autonomous dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 436-456.
    11. Hiermann, Gerhard & Puchinger, Jakob & Ropke, Stefan & Hartl, Richard F., 2016. "The Electric Fleet Size and Mix Vehicle Routing Problem with Time Windows and Recharging Stations," European Journal of Operational Research, Elsevier, vol. 252(3), pages 995-1018.
    12. Macrina, Giusy & Laporte, Gilbert & Guerriero, Francesca & Di Puglia Pugliese, Luigi, 2019. "An energy-efficient green-vehicle routing problem with mixed vehicle fleet, partial battery recharging and time windows," European Journal of Operational Research, Elsevier, vol. 276(3), pages 971-982.
    13. Braekers, Kris & Caris, An & Janssens, Gerrit K., 2014. "Exact and meta-heuristic approach for a general heterogeneous dial-a-ride problem with multiple depots," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 166-186.
    14. Charles Raux & Tai-Yu Ma & Eric Cornelis, 2016. "Variability in daily activity-travel patterns: the case of a one-week travel diary," Post-Print halshs-01389479, HAL.
    15. Shaheen, Susan PhD & Cohen, Adam, 2019. "Shared Micromoblity Policy Toolkit: Docked and Dockless Bike and Scooter Sharing," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt00k897b5, Institute of Transportation Studies, UC Berkeley.
    16. Jean-François Cordeau, 2006. "A Branch-and-Cut Algorithm for the Dial-a-Ride Problem," Operations Research, INFORMS, vol. 54(3), pages 573-586, June.
    17. Zhou, Yu & Ong, Ghim Ping & Meng, Qiang, 2023. "The road to electrification: Bus fleet replacement strategies," Applied Energy, Elsevier, vol. 337(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Su, Yue & Dupin, Nicolas & Puchinger, Jakob, 2023. "A deterministic annealing local search for the electric autonomous dial-a-ride problem," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1091-1111.
    2. Ma, Tai-Yu & Fang, Yumeng & Connors, Richard D. & Viti, Francesco & Nakao, Haruko, 2024. "A hybrid metaheuristic to optimize electric first-mile feeder services with charging synchronization constraints and customer rejections," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 185(C).
    3. Su, Yue & Dupin, Nicolas & Parragh, Sophie N. & Puchinger, Jakob, 2024. "A Branch-and-Price algorithm for the electric autonomous Dial-A-Ride Problem," Transportation Research Part B: Methodological, Elsevier, vol. 186(C).
    4. Fang, Yumeng & Ma, Tai-Yu, 2026. "A hybrid large neighborhood search algorithm for the integrated dial-a-ride problem using electric vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 206(C).
    5. Bongiovanni, Claudia & Kaspi, Mor & Geroliminis, Nikolas, 2019. "The electric autonomous dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 436-456.
    6. Zhang, Li & Liu, Zhongshan & Yu, Lan & Fang, Ke & Yao, Baozhen & Yu, Bin, 2022. "Routing optimization of shared autonomous electric vehicles under uncertain travel time and uncertain service time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    7. Gaul, Daniela & Klamroth, Kathrin & Stiglmayr, Michael, 2022. "Event-based MILP models for ridepooling applications," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1048-1063.
    8. Zhang, Li & Liu, Zhongshan & Yu, Bin & Long, Jiancheng, 2024. "A ridesharing routing problem for airport riders with electric vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).
    9. Rahman, Md Hishamur & Chen, Shijie & Sun, Yanshuo & Siddiqui, Muhammad Imran Younus & Mohebbi, Matthew & Marković, Nikola, 2023. "Integrating dial-a-ride with transportation network companies for cost efficiency: A Maryland case study," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    10. Detti, Paolo & Papalini, Francesco & Lara, Garazi Zabalo Manrique de, 2017. "A multi-depot dial-a-ride problem with heterogeneous vehicles and compatibility constraints in healthcare," Omega, Elsevier, vol. 70(C), pages 1-14.
    11. Peng, Yiyang & Li, Guoyuan & Xu, Min & Chen, Anthony, 2024. "Mixed-fleet operation of battery electric bus and hydrogen bus: Considering limited depot size with flexible refueling processes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 188(C).
    12. Du, Yuchen & Yang, Hai & Chow, Joseph Y.J. & Le, Tho V., 2025. "Two-stage stochastic fleet and battery sizing with routing optimization for sidewalk delivery robots," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 201(C).
    13. Timo Gschwind & Michael Drexl, 2016. "Adaptive Large Neighborhood Search with a Constant-Time Feasibility Test for the Dial-a-Ride Problem," Working Papers 1624, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    14. Molenbruch, Yves & Braekers, Kris & Caris, An, 2017. "Benefits of horizontal cooperation in dial-a-ride services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 107(C), pages 97-119.
    15. Mahyari, Ehsan & Freeman, Nickolas, 2025. "Electric vehicle fleet charging management: An approximate dynamic programming policy," European Journal of Operational Research, Elsevier, vol. 327(1), pages 263-279.
    16. Dolgui, Alexandre & Kovalev, Sergey & Kovalyov, Mikhail Y., 2025. "Scheduling electric vehicle regular charging tasks: A review of deterministic models," European Journal of Operational Research, Elsevier, vol. 325(2), pages 221-232.
    17. LIAN, Ying & LUCAS, Flavien & SÖRENSEN, Kenneth, 2022. "The electric on-demand bus routing problem with partial charging and nonlinear functions," Working Papers 2022005, University of Antwerp, Faculty of Business and Economics.
    18. Liu, Mengyang & Luo, Zhixing & Lim, Andrew, 2015. "A branch-and-cut algorithm for a realistic dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 267-288.
    19. Schulz, Arne & Pfeiffer, Christian, 2024. "Using fixed paths to improve branch-and-cut algorithms for precedence-constrained routing problems," European Journal of Operational Research, Elsevier, vol. 312(2), pages 456-472.
    20. Zhou, Yu & Wang, Hua & Wang, Yun & Yu, Bin & Tang, Tianpei, 2024. "Charging facility planning and scheduling problems for battery electric bus systems: A comprehensive review," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 183(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:405:y:2026:i:c:s0306261925019464. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.