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An exact algorithm for maximum electric vehicle flow coverage problem with heterogeneous chargers, nonlinear charging time and route deviations

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  • Park, Hyunwoo
  • Lee, Chungmok

Abstract

Typical electric vehicles (EVs) should be recharged multiple times to reach a long distance due to the limited travel ranges. The EV flow covering problem determines the locations of charging stations to maximize the “covered” OD flows, respecting a given budget for the new charging stations. This paper proposes an exact algorithm for solving the problem by considering the heterogeneous EV chargers, nonlinear charging time, and route deviations from the shortest distance paths. We develop an exact Benders decomposition-based algorithm, in which the Benders subproblem utilizes a nested cut-generation via a customized labeling algorithm. Two methods for solving the Benders subproblem are developed, which are combined to accelerate the Benders cut generation. In addition, we present a heuristic algorithm based on the proposed exact algorithm for the larger-sized problems. The computational results show that the proposed algorithm could solve real-life problems. Especially, the heuristic algorithm could solve problems up to 339 nodes and 500 km of the EV’s travel range. The extensive computational study shows that addressing the multiple charger types, the charging time, and the deviation routes can be crucial to provide realistic charging infrastructure for EVs.

Suggested Citation

  • Park, Hyunwoo & Lee, Chungmok, 2024. "An exact algorithm for maximum electric vehicle flow coverage problem with heterogeneous chargers, nonlinear charging time and route deviations," European Journal of Operational Research, Elsevier, vol. 315(3), pages 926-951.
    • Handle: RePEc:eee:ejores:v:315:y:2024:i:3:p:926-951
    DOI: 10.1016/j.ejor.2023.12.019
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    1. 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.
    2. S. A. MirHassani & R. Ebrazi, 2013. "A Flexible Reformulation of the Refueling Station Location Problem," Transportation Science, INFORMS, vol. 47(4), pages 617-628, November.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Nicholas D. Kullman & Justin C. Goodson & Jorge E. Mendoza, 2021. "Electric Vehicle Routing with Public Charging Stations," Transportation Science, INFORMS, vol. 55(3), pages 637-659, May.
    8. David Simchi-Levi & Oded Berman, 1988. "A Heuristic Algorithm for the Traveling Salesman Location Problem on Networks," Operations Research, INFORMS, vol. 36(3), pages 478-484, June.
    9. Nicholas D. Kullman & Aurelien Froger & Jorge E. Mendoza & Justin C. Goodson, 2021. "frvcpy: An Open-Source Solver for the Fixed Route Vehicle Charging Problem," INFORMS Journal on Computing, INFORMS, vol. 33(4), pages 1277-1283, October.
    10. 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.
    11. Shaohua Cui & Hui Zhao & Huijie Wen & Cuiping Zhang, 2018. "Locating Multiple Size and Multiple Type of Charging Station for Battery Electricity Vehicles," Sustainability, MDPI, vol. 10(9), pages 1-20, September.
    12. 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.
    13. Xu Ouyang & Min Xu & Bojian Zhou, 2022. "An Elastic Demand Model for Locating Electric Vehicle Charging Stations," Networks and Spatial Economics, Springer, vol. 22(1), pages 1-31, March.
    14. 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.
    15. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    16. Nie, Yu (Marco) & Ghamami, Mehrnaz & Zockaie, Ali & Xiao, Feng, 2016. "Optimization of incentive polices for plug-in electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 103-123.
    17. 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.
    18. 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.
    19. 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.
    20. Timothy M. Sweda & Irina S. Dolinskaya & Diego Klabjan, 2017. "Optimal Recharging Policies for Electric Vehicles," Transportation Science, INFORMS, vol. 51(2), pages 457-479, May.
    21. Hof, Julian & Schneider, Michael & Goeke, Dominik, 2017. "Solving the battery swap station location-routing problem with capacitated electric vehicles using an AVNS algorithm for vehicle-routing problems with intermediate stops," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 102-112.
    22. 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.
    23. Kınay, Ömer Burak & Gzara, Fatma & Alumur, Sibel A., 2021. "Full cover charging station location problem with routing," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 1-22.
    24. 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.
    25. Ismail Capar & Michael Kuby, 2012. "An efficient formulation of the flow refueling location model for alternative-fuel stations," IISE Transactions, Taylor & Francis Journals, vol. 44(8), pages 622-636.
    26. Derya Celik Turkoglu & Mujde Erol Genevois, 2020. "A comparative survey of service facility location problems," Annals of Operations Research, Springer, vol. 292(1), pages 399-468, September.
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