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Fleet sizing for one-way electric carsharing services considering dynamic vehicle relocation and nonlinear charging profile

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  • Xu, Min
  • Meng, Qiang

Abstract

This study aims to determine the electric vehicle fleet size for one-way carsharing services by maximizing the profit of carsharing operators while taking into account the vehicle relocation operations and nonlinear electric vehicle charging profile. We formulate a set partitioning model for the considered problem. A tailored branch-and-price (B&P) approach is proposed to find the exact optimal solution of the model. In particular, an effective multi-label correcting method is developed to solve the pricing problem (i.e., generate columns) within the B&P approach. A novel non-dominated charging strategy is put up to avoid the exponential growth of labels caused by the allowance of partial charging with a nonlinear charging profile. In addition to the B&P approach, two heuristic methods are put forward for solving the large-scale problems or reinforcing the B&P approach. Numerical experiments with randomly generated instances and a case study based on a one-way carsharing operator in Singapore are conducted to further assess the efficiency and applicability of the proposed solution methods. The effects of several key parameters, i.e., the fixed cost of EV, relocation cost, electricity cost, service charge, EV driving range, the charging efficiency, and the number of rentals on the performance of a one-way electric carsharing system are also examined.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:128:y:2019:i:c:p:23-49
    DOI: 10.1016/j.trb.2019.07.016
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    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. Jorge, Diana & Molnar, Goran & de Almeida Correia, Gonçalo Homem, 2015. "Trip pricing of one-way station-based carsharing networks with zone and time of day price variations," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 461-482.
    4. Wang, Hua & Zhao, De & Meng, Qiang & Ong, Ghim Ping & Lee, Der-Horng, 2019. "A four-step method for electric-vehicle charging facility deployment in a dense city: An empirical study in Singapore," Transportation Research Part A: Policy and Practice, Elsevier, vol. 119(C), pages 224-237.
    5. Nourinejad, Mehdi & Zhu, Sirui & Bahrami, Sina & Roorda, Matthew J., 2015. "Vehicle relocation and staff rebalancing in one-way carsharing systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 98-113.
    6. Long He & Ho-Yin Mak & Ying Rong & Zuo-Jun Max Shen, 2017. "Service Region Design for Urban Electric Vehicle Sharing Systems," Manufacturing & Service Operations Management, INFORMS, vol. 19(2), pages 309-327, May.
    7. 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.
    8. 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.
    9. 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.
    10. Guy Desaulniers & Fausto Errico & Stefan Irnich & Michael Schneider, 2016. "Exact Algorithms for Electric Vehicle-Routing Problems with Time Windows," Operations Research, INFORMS, vol. 64(6), pages 1388-1405, December.
    11. Villeneuve, Daniel & Desaulniers, Guy, 2005. "The shortest path problem with forbidden paths," European Journal of Operational Research, Elsevier, vol. 165(1), pages 97-107, August.
    12. Nils Boysen & Dirk Briskorn & Simon Emde, 2018. "Scheduling electric vehicles and locating charging stations on a path," Journal of Scheduling, Springer, vol. 21(1), pages 111-126, February.
    13. Nourinejad, Mehdi & Roorda, Matthew J., 2014. "A dynamic carsharing decision support system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 66(C), pages 36-50.
    14. 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.
    15. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    16. Juho Andelmin & Enrico Bartolini, 2017. "An Exact Algorithm for the Green Vehicle Routing Problem," Transportation Science, INFORMS, vol. 51(4), pages 1288-1303, November.
    17. Boysen, Nils & Briskorn, Dirk & Emde, Simon, 2018. "Scheduling electric vehicles and locating charging stations on a path," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 109725, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    18. 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.
    19. Timothy M. Sweda & Irina S. Dolinskaya & Diego Klabjan, 2017. "Adaptive Routing and Recharging Policies for Electric Vehicles," Transportation Science, INFORMS, vol. 51(4), pages 1326-1348, November.
    20. Hatem Ben Amor & Jacques Desrosiers & José Manuel Valério de Carvalho, 2006. "Dual-Optimal Inequalities for Stabilized Column Generation," Operations Research, INFORMS, vol. 54(3), pages 454-463, June.
    21. 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.
    22. Martin Desrochers & François Soumis, 1989. "A Column Generation Approach to the Urban Transit Crew Scheduling Problem," Transportation Science, INFORMS, vol. 23(1), pages 1-13, February.
    23. 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.
    24. Xu, Min & Meng, Qiang & Liu, Kai & Yamamoto, Toshiyuki, 2017. "Joint charging mode and location choice model for battery electric vehicle users," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 68-86.
    25. 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.
    26. Stefan Irnich & Guy Desaulniers, 2005. "Shortest Path Problems with Resource Constraints," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 33-65, Springer.
    27. Zhang, Dong & Liu, Yang & He, Shuangchi, 2019. "Vehicle assignment and relays for one-way electric car-sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 125-146.
    28. Pelletier, Samuel & Jabali, Ola & Laporte, Gilbert & Veneroni, Marco, 2017. "Battery degradation and behaviour for electric vehicles: Review and numerical analyses of several models," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 158-187.
    29. Xu, Min & Meng, Qiang & Liu, Kai, 2017. "Network user equilibrium problems for the mixed battery electric vehicles and gasoline vehicles subject to battery swapping stations and road grade constraints," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 138-166.
    30. 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.
    31. 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.
    32. 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).
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