IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v125y2019icp121-150.html
   My bibliography  Save this article

A Benders decomposition method for locating stations in a one-way electric car sharing system under demand uncertainty

Author

Listed:
  • Çalık, Hatice
  • Fortz, Bernard

Abstract

We focus on a problem of locating recharging stations in one-way station based electric car sharing systems which operate under demand uncertainty. We model this problem as a mixed integer stochastic program and develop a Benders decomposition algorithm based on this formulation. We integrate a stabilization procedure to our algorithm and conduct a large-scale experimental study on our methods. To conduct the computational experiments, we develop a demand forecasting method allowing to generate many demand scenarios. The method is applied to real data from Manhattan taxi trips. We are able to solve problems with 100–500 scenarios, each scenario including 1000–5000 individual customer requests, under high and low cost values and 5–15 min of accessibility restrictions, which is measured as the maximum walking time to the operating stations.

Suggested Citation

  • Çalık, Hatice & Fortz, Bernard, 2019. "A Benders decomposition method for locating stations in a one-way electric car sharing system under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 121-150.
    • Handle: RePEc:eee:transb:v:125:y:2019:i:c:p:121-150
    DOI: 10.1016/j.trb.2019.05.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191261518301735
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.trb.2019.05.004?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Brandstätter, Georg & Kahr, Michael & Leitner, Markus, 2017. "Determining optimal locations for charging stations of electric car-sharing systems under stochastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 17-35.
    2. Zhao, Meng & Li, Xiaopeng & Yin, Jiateng & Cui, Jianxun & Yang, Lixing & An, Shi, 2018. "An integrated framework for electric vehicle rebalancing and staff relocation in one-way carsharing systems: Model formulation and Lagrangian relaxation-based solution approach," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 542-572.
    3. Arslan, Okan & Karaşan, Oya Ekin, 2016. "A Benders decomposition approach for the charging station location problem with plug-in hybrid electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 670-695.
    4. Boyacı, Burak & Zografos, Konstantinos G. & Geroliminis, Nikolas, 2017. "An integrated optimization-simulation framework for vehicle and personnel relocations of electric carsharing systems with reservations," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 214-237.
    5. Li, Xiaopeng & Ma, Jiaqi & Cui, Jianxun & Ghiasi, Amir & Zhou, Fang, 2016. "Design framework of large-scale one-way electric vehicle sharing systems: A continuum approximation model," Transportation Research Part B: Methodological, Elsevier, vol. 88(C), pages 21-45.
    6. Quentin Botton & Bernard Fortz & Luis Gouveia & Michael Poss, 2013. "Benders Decomposition for the Hop-Constrained Survivable Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 25(1), pages 13-26, February.
    7. Erdoğan, Sevgi & Miller-Hooks, Elise, 2012. "A Green Vehicle Routing Problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 100-114.
    8. Gambella, Claudio & Malaguti, Enrico & Masini, Filippo & Vigo, Daniele, 2018. "Optimizing relocation operations in electric car-sharing," Omega, Elsevier, vol. 81(C), pages 234-245.
    9. Wang, Ying-Wei & Lin, Chuah-Chih, 2013. "Locating multiple types of recharging stations for battery-powered electric vehicle transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 58(C), pages 76-87.
    10. Correia, Gonçalo Homem de Almeida & Antunes, António Pais, 2012. "Optimization approach to depot location and trip selection in one-way carsharing systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 233-247.
    11. Gianni Codato & Matteo Fischetti, 2006. "Combinatorial Benders' Cuts for Mixed-Integer Linear Programming," Operations Research, INFORMS, vol. 54(4), pages 756-766, August.
    12. Xu, Min & Meng, Qiang & Liu, Zhiyuan, 2018. "Electric vehicle fleet size and trip pricing for one-way carsharing services considering vehicle relocation and personnel assignment," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 60-82.
    13. Boyacı, Burak & Zografos, Konstantinos G. & Geroliminis, Nikolas, 2015. "An optimization framework for the development of efficient one-way car-sharing systems," European Journal of Operational Research, Elsevier, vol. 240(3), pages 718-733.
    14. Kek, Alvina G.H. & Cheu, Ruey Long & Meng, Qiang & Fung, Chau Ha, 2009. "A decision support system for vehicle relocation operations in carsharing systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(1), pages 149-158, January.
    15. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    16. Georg Brandstätter & Claudio Gambella & Markus Leitner & Enrico Malaguti & Filippo Masini & Jakob Puchinger & Mario Ruthmair & Daniele Vigo, 2016. "Overview of Optimization Problems in Electric Car-Sharing System Design and Management," Dynamic Modeling and Econometrics in Economics and Finance, in: Herbert Dawid & Karl F. Doerner & Gustav Feichtinger & Peter M. Kort & Andrea Seidl (ed.), Dynamic Perspectives on Managerial Decision Making, pages 441-471, Springer.
    17. Samuel Pelletier & Ola Jabali & Gilbert Laporte, 2016. "50th Anniversary Invited Article—Goods Distribution with Electric Vehicles: Review and Research Perspectives," Transportation Science, INFORMS, vol. 50(1), pages 3-22, February.
    18. Álvarez-Miranda, Eduardo & Ljubić, Ivana & Luipersbeck, Martin & Sinnl, Markus, 2017. "Solving minimum-cost shared arborescence problems," European Journal of Operational Research, Elsevier, vol. 258(3), pages 887-901.
    19. Michael Schneider & Andreas Stenger & Dominik Goeke, 2014. "The Electric Vehicle-Routing Problem with Time Windows and Recharging Stations," Transportation Science, INFORMS, vol. 48(4), pages 500-520, November.
    20. Cavadas, Joana & Homem de Almeida Correia, Gonçalo & Gouveia, João, 2015. "A MIP model for locating slow-charging stations for electric vehicles in urban areas accounting for driver tours," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 188-201.
    21. Felipe, Ángel & Ortuño, M. Teresa & Righini, Giovanni & Tirado, Gregorio, 2014. "A heuristic approach for the green vehicle routing problem with multiple technologies and partial recharges," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 71(C), pages 111-128.
    22. Asamer, Johannes & Reinthaler, Martin & Ruthmair, Mario & Straub, Markus & Puchinger, Jakob, 2016. "Optimizing charging station locations for urban taxi providers," Transportation Research Part A: Policy and Practice, Elsevier, vol. 85(C), pages 233-246.
    23. Schneider, M. & Stenger, A. & Goeke, D., 2014. "The Electric Vehicle Routing Problem with Time Windows and Recharging Stations," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 62382, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Na & Jiang, Yue & Zhang, Zhi-Hai, 2021. "A two-stage ambiguous stochastic program for electric vehicle charging station location problem with valet charging service," Transportation Research Part B: Methodological, Elsevier, vol. 153(C), pages 149-171.
    2. Zhang, Qihuan & Wang, Ziteng & Huang, Min & Yu, Yang & Fang, Shu-Cherng, 2022. "Heterogeneous multi-depot collaborative vehicle routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 160(C), pages 1-20.
    3. Afnan Fayez Eliyan & Laoucine Kerbache, 2024. "Vehicle Relocation in One-Way Carsharing: A Review," Sustainability, MDPI, vol. 16(3), pages 1-28, January.
    4. Qingyu Luo & Zhihao Ye & Hongfei Jia, 2023. "A Charging Planning Method for Shared Electric Vehicles with the Collaboration of Mobile and Fixed Facilities," Sustainability, MDPI, vol. 15(22), pages 1-16, November.
    5. Liqiao Wang & Peter Wells, 2021. "Regime Confluence in Automobile Industry Transformation: Boundary Dissolution and Network Reintegration via CASE Vehicles," Energies, MDPI, vol. 14(4), pages 1-18, February.
    6. Bansal, Vishal & Kumar, Deepak Prakash & Roy, Debjit & Subramanian, Shankar C., 2022. "Performance evaluation and optimization of design parameters for electric vehicle-sharing platforms by considering vehicle dynamics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
    7. Huang, Kai & An, Kun & Rich, Jeppe & Ma, Wanjing, 2020. "Vehicle relocation in one-way station-based electric carsharing systems: A comparative study of operator-based and user-based methods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    8. Xiao Feng & Shiwei He & Xuchao Chen & Guangye Li, 2021. "Mitigating the vulnerability of an air-high-speed railway transportation network: From the perspective of predisruption response," Journal of Risk and Reliability, , vol. 235(3), pages 474-490, June.
    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. Bekli, Seyma & Boyacı, Burak & Zografos, Konstantinos G., 2021. "Enhancing the performance of one-way electric carsharing systems through the optimum deployment of fast chargers," Transportation Research Part B: Methodological, Elsevier, vol. 152(C), pages 118-139.
    11. Yang, Jie & Hu, Lu & Jiang, Yangsheng, 2022. "An overnight relocation problem for one-way carsharing systems considering employment planning, return restrictions, and ride sharing of temporary workers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).

    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. 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. Huang, Kai & An, Kun & Rich, Jeppe & Ma, Wanjing, 2020. "Vehicle relocation in one-way station-based electric carsharing systems: A comparative study of operator-based and user-based methods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    3. Zhao, Meng & Li, Xiaopeng & Yin, Jiateng & Cui, Jianxun & Yang, Lixing & An, Shi, 2018. "An integrated framework for electric vehicle rebalancing and staff relocation in one-way carsharing systems: Model formulation and Lagrangian relaxation-based solution approach," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 542-572.
    4. Huang, Kai & An, Kun & Correia, Gonçalo Homem de Almeida, 2020. "Planning station capacity and fleet size of one-way electric carsharing systems with continuous state of charge functions," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1075-1091.
    5. Qin, Hu & Su, E. & Wang, Yilun & Li, Jiliu, 2022. "Branch-and-price-and-cut for the electric vehicle relocation problem in one-way carsharing systems," Omega, Elsevier, vol. 109(C).
    6. Georg Brandstätter & Markus Leitner & Ivana Ljubić, 2020. "Location of Charging Stations in Electric Car Sharing Systems," Transportation Science, INFORMS, vol. 54(5), pages 1408-1438, September.
    7. Liu, Yang & Xie, Jiaohong & Chen, Nan, 2022. "Stochastic one-way carsharing systems with dynamic relocation incentives through preference learning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
    8. Illgen, Stefan & Höck, Michael, 2019. "Literature review of the vehicle relocation problem in one-way car sharing networks," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 193-204.
    9. Cui, Shaohua & Ma, Xiaolei & Zhang, Mingheng & Yu, Bin & Yao, Baozhen, 2022. "The parallel mobile charging service for free-floating shared electric vehicle clusters," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 160(C).
    10. Yang, Jie & Hu, Lu & Jiang, Yangsheng, 2022. "An overnight relocation problem for one-way carsharing systems considering employment planning, return restrictions, and ride sharing of temporary workers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    11. Shen, Zuo-Jun Max & Feng, Bo & Mao, Chao & Ran, Lun, 2019. "Optimization models for electric vehicle service operations: A literature review," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 462-477.
    12. Lu, Xiaonong & Zhang, Qiang & Peng, Zhanglin & Shao, Zhen & Song, Hao & Wang, Wanying, 2020. "Charging and relocating optimization for electric vehicle car-sharing: An event-based strategy improvement approach," Energy, Elsevier, vol. 207(C).
    13. Masmoudi, Mohamed Amine & Hosny, Manar & Demir, Emrah & Genikomsakis, Konstantinos N. & Cheikhrouhou, Naoufel, 2018. "The dial-a-ride problem with electric vehicles and battery swapping stations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 392-420.
    14. Wang, Mengtong & Miao, Lixin & Zhang, Canrong, 2021. "A branch-and-price algorithm for a green location routing problem with multi-type charging infrastructure," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    15. Schiffer, Maximilian & Walther, Grit, 2017. "The electric location routing problem with time windows and partial recharging," European Journal of Operational Research, Elsevier, vol. 260(3), pages 995-1013.
    16. Alvo, Matías & Angulo, Gustavo & Klapp, Mathias A., 2021. "An exact solution approach for an electric bus dispatch problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    17. Brandstätter, Georg & Kahr, Michael & Leitner, Markus, 2017. "Determining optimal locations for charging stations of electric car-sharing systems under stochastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 17-35.
    18. Li, Lu & Lo, Hong K. & Huang, Wei & Xiao, Feng, 2021. "Mixed bus fleet location-routing-scheduling under range uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 155-179.
    19. Yixi Xue & Yi Zhang & Yi Chen, 2019. "An Evaluation Framework for the Planning of Electric Car-Sharing Systems: A Combination Model of AHP-CBA-VD," Sustainability, MDPI, vol. 11(20), pages 1-22, October.
    20. Hua, Yikang & Zhao, Dongfang & Wang, Xin & Li, Xiaopeng, 2019. "Joint infrastructure planning and fleet management for one-way electric car sharing under time-varying uncertain demand," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 185-206.

    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:transb:v:125:y:2019:i:c:p:121-150. 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/548/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.