IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v11y2019i20p5841-d278772.html
   My bibliography  Save this article

Location Optimization of Electric Vehicle Mobile Charging Stations Considering Multi-Period Stochastic User Equilibrium

Author

Listed:
  • Faping Wang

    (Research Center for Modern Logistics, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China)

  • Rui Chen

    (Research Center for Modern Logistics, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China)

  • Lixin Miao

    (Research Center for Modern Logistics, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China)

  • Peng Yang

    (Research Center for Modern Logistics, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China)

  • Bin Ye

    (Guangdong Provincial Key Laboratory of Soil and Groundwater Pollution Control, School of Environmental Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China)

Abstract

This study researches the dynamical location optimization problem of a mobile charging station (MCS) powered by a LiFePO 4 battery to meet charging demand of electric vehicles (EVs). In city suburbs, a large public charging tower is deployed to provide recharging services for MCS. The EV’s driver can reserve a real-time off-street charging service on the MCS through a vehicular communication network. This study formulates a multi-period nonlinear flow-refueling location model (MNFRLM) to optimize the location of the MCS based on a network designed by Nguyen and Dupuis (1984). The study transforms the MNFRLM model into a linear integer programming model using a linearization algorithm, and obtains global solution via the NEOS cloud CPLEX solver. Numerical experiments are presented to demonstrate the model and its solution algorithm.

Suggested Citation

  • Faping Wang & Rui Chen & Lixin Miao & Peng Yang & Bin Ye, 2019. "Location Optimization of Electric Vehicle Mobile Charging Stations Considering Multi-Period Stochastic User Equilibrium," Sustainability, MDPI, vol. 11(20), pages 1-19, October.
    • Handle: RePEc:gam:jsusta:v:11:y:2019:i:20:p:5841-:d:278772
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/11/20/5841/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2071-1050/11/20/5841/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Jiang, Jingjing & Ye, Bin & Liu, Junguo, 2019. "Research on the peak of CO2 emissions in the developing world: Current progress and future prospect," Applied Energy, Elsevier, vol. 235(C), pages 186-203.
    3. Wang, Ying-Wei & Wang, Chuan-Ren, 2010. "Locating passenger vehicle refueling stations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 791-801, September.
    4. Csiszár, Csaba & Csonka, Bálint & Földes, Dávid & Wirth, Ervin & Lovas, Tamás, 2019. "Urban public charging station locating method for electric vehicles based on land use approach," Journal of Transport Geography, Elsevier, vol. 74(C), pages 173-180.
    5. 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.
    6. 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.
    7. Farahani, Reza Zanjirani & Miandoabchi, Elnaz & Szeto, W.Y. & Rashidi, Hannaneh, 2013. "A review of urban transportation network design problems," European Journal of Operational Research, Elsevier, vol. 229(2), pages 281-302.
    8. Nakayama, Shoichiro & Watling, David, 2014. "Consistent formulation of network equilibrium with stochastic flows," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 50-69.
    9. Ho, H.W. & Wong, S.C. & Loo, Becky P.Y., 2006. "Combined distribution and assignment model for a continuum traffic equilibrium problem with multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 633-650, September.
    10. Alfa, Attahiru Sule & Chen, Mingyuan, 1995. "Temporal distribution of public transport demand during the peak period," European Journal of Operational Research, Elsevier, vol. 83(1), pages 137-153, May.
    11. Lim, Seow & Kuby, Michael, 2010. "Heuristic algorithms for siting alternative-fuel stations using the Flow-Refueling Location Model," European Journal of Operational Research, Elsevier, vol. 204(1), pages 51-61, July.
    12. Liu, Haoxiang & Wang, David Z.W., 2015. "Global optimization method for network design problem with stochastic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 20-39.
    13. Oded Berman & Dmitry Krass & Chen Wei Xu, 1995. "Locating Discretionary Service Facilities Based on Probabilistic Customer Flows," Transportation Science, INFORMS, vol. 29(3), pages 276-290, August.
    14. Xie, Chi & Liu, Zugang, 2014. "On the stochastic network equilibrium with heterogeneous choice inertia," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 90-109.
    15. Jiang, Jingjing & Ye, Bin & Liu, Junguo, 2019. "Peak of CO2 emissions in various sectors and provinces of China: Recent progress and avenues for further research," Renewable and Sustainable Energy Reviews, Elsevier, vol. 112(C), pages 813-833.
    16. 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.
    17. Ye, Bin & Jiang, JingJing & Li, Changsheng & Miao, Lixin & Tang, Jie, 2017. "Quantification and driving force analysis of provincial-level carbon emissions in China," Applied Energy, Elsevier, vol. 198(C), pages 223-238.
    18. Opher Baron & Oded Berman & Seokjin Kim & Dmitry Krass, 2009. "Ensuring feasibility in location problems with stochastic demands and congestion," IISE Transactions, Taylor & Francis Journals, vol. 41(5), pages 467-481.
    19. Capar, Ismail & Kuby, Michael & Leon, V. Jorge & Tsai, Yu-Jiun, 2013. "An arc cover–path-cover formulation and strategic analysis of alternative-fuel station locations," European Journal of Operational Research, Elsevier, vol. 227(1), pages 142-151.
    20. Wagenaar, Joris & Kroon, Leo & Fragkos, Ioannis, 2017. "Rolling stock rescheduling in passenger railway transportation using dead-heading trips and adjusted passenger demand," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 140-161.
    21. He, Fang & Wu, Di & Yin, Yafeng & Guan, Yongpei, 2013. "Optimal deployment of public charging stations for plug-in hybrid electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 47(C), pages 87-101.
    22. Jianmin Jia & Chenhui Liu & Tao Wan, 2019. "Planning of the Charging Station for Electric Vehicles Utilizing Cellular Signaling Data," Sustainability, MDPI, vol. 11(3), pages 1-16, January.
    23. 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.
    24. Xin Chen & Melvyn Sim & Peng Sun, 2007. "A Robust Optimization Perspective on Stochastic Programming," Operations Research, INFORMS, vol. 55(6), pages 1058-1071, December.
    25. He, Fang & Yin, Yafeng & Lawphongpanich, Siriphong, 2014. "Network equilibrium models with battery electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 306-319.
    26. Wang, Ying-Wei & Lin, Chuah-Chih, 2009. "Locating road-vehicle refueling stations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(5), pages 821-829, September.
    27. Chunlin Guo & Jingjing Yang & Lin Yang, 2018. "Planning of Electric Vehicle Charging Infrastructure for Urban Areas with Tight Land Supply," Energies, MDPI, vol. 11(9), pages 1-17, September.
    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. Nazari-Heris, Morteza & Loni, Abdolah & Asadi, Somayeh & Mohammadi-ivatloo, Behnam, 2022. "Toward social equity access and mobile charging stations for electric vehicles: A case study in Los Angeles," Applied Energy, Elsevier, vol. 311(C).
    2. Chen, Rui & Meng, Qiang & Yu, Jiayi Joey, 2023. "Optimal government incentives to improve the new technology adoption: Subsidizing infrastructure investment or usage?," Omega, Elsevier, vol. 114(C).
    3. Cheng Wang & Zhou Gao & Peng Yang & Zhenpo Wang & Zhiheng Li, 2021. "Electric Vehicle Charging Facility Planning Based on Flow Demand—A Case Study," Sustainability, MDPI, vol. 13(9), pages 1-23, April.
    4. Jin Li & Feng Wang & Yu He, 2020. "Electric Vehicle Routing Problem with Battery Swapping Considering Energy Consumption and Carbon Emissions," Sustainability, MDPI, vol. 12(24), pages 1-20, December.
    5. Afshar, Shahab & Macedo, Pablo & Mohamed, Farog & Disfani, Vahid, 2021. "Mobile charging stations for electric vehicles — A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 152(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. Joonho Ko & Tae-Hyoung Tommy Gim & Randall Guensler, 2017. "Locating refuelling stations for alternative fuel vehicles: a review on models and applications," Transport Reviews, Taylor & Francis Journals, vol. 37(5), pages 551-570, September.
    2. Anjos, Miguel F. & Gendron, Bernard & Joyce-Moniz, Martim, 2020. "Increasing electric vehicle adoption through the optimal deployment of fast-charging stations for local and long-distance travel," European Journal of Operational Research, Elsevier, vol. 285(1), pages 263-278.
    3. 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.
    4. Liu, Haoxiang & Wang, David Z.W., 2017. "Locating multiple types of charging facilities for battery electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 30-55.
    5. Xu, Min & Meng, Qiang, 2020. "Optimal deployment of charging stations considering path deviation and nonlinear elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 135(C), pages 120-142.
    6. Van Can Nguyen & Chi-Tai Wang & Ying-Jiun Hsieh, 2021. "Electrification of Highway Transportation with Solar and Wind Energy," Sustainability, MDPI, vol. 13(10), pages 1-28, May.
    7. Liu, Haoxiang & Zou, Yuncheng & Chen, Ya & Long, Jiancheng, 2021. "Optimal locations and electricity prices for dynamic wireless charging links of electric vehicles for sustainable transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    8. 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.
    9. Chung, Byung Do & Park, Sungjae & Kwon, Changhyun, 2018. "Equitable distribution of recharging stations for electric vehicles," Socio-Economic Planning Sciences, Elsevier, vol. 63(C), pages 1-11.
    10. Lee, Chungmok & Han, Jinil, 2017. "Benders-and-Price approach for electric vehicle charging station location problem under probabilistic travel range," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 130-152.
    11. 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.
    12. 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.
    13. Scheiper, Barbara & Schiffer, Maximilian & Walther, Grit, 2019. "The flow refueling location problem with load flow control," Omega, Elsevier, vol. 83(C), pages 50-69.
    14. Mahmutoğulları, Özlem & Yaman, Hande, 2023. "Robust alternative fuel refueling station location problem with routing under decision-dependent flow uncertainty," European Journal of Operational Research, Elsevier, vol. 306(1), pages 173-188.
    15. Cen, Xuekai & Lo, Hong K. & Li, Lu & Lee, Enoch, 2018. "Modeling electric vehicles adoption for urban commute trips," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 431-454.
    16. 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.
    17. Sun, Hao & Yang, Jun & Yang, Chao, 2019. "A robust optimization approach to multi-interval location-inventory and recharging planning for electric vehicles," Omega, Elsevier, vol. 86(C), pages 59-75.
    18. Shaohua Cui & Hui Zhao & Cuiping Zhang, 2018. "Locating Charging Stations of Various Sizes with Different Numbers of Chargers for Battery Electric Vehicles," Energies, MDPI, vol. 11(11), pages 1-22, November.
    19. Tran, Trung Hieu & Nagy, Gábor & Nguyen, Thu Ba T. & Wassan, Niaz A., 2018. "An efficient heuristic algorithm for the alternative-fuel station location problem," European Journal of Operational Research, Elsevier, vol. 269(1), pages 159-170.
    20. Nie, Yu (Marco) & Ghamami, Mehrnaz, 2013. "A corridor-centric approach to planning electric vehicle charging infrastructure," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 172-190.

    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:gam:jsusta:v:11:y:2019:i:20:p:5841-:d:278772. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.