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The Electric Vehicle-Routing Problem with Time Windows and Recharging Stations

Author

Listed:
  • Michael Schneider

    (Logistics Planning and Information Systems, TU Darmstadt, 64289 Darmstadt, Germany)

  • Andreas Stenger

    (Lufthansa Technik, 22335 Hamburg, Germany)

  • Dominik Goeke

    (Business Information Systems and Operations Research, University of Kaiserslautern, 67653 Kaiserslautern, Germany)

Abstract

Driven by new laws and regulations concerning the emission of greenhouse gases, carriers are starting to use electric vehicles for last-mile deliveries. The limited battery capacities of these vehicles necessitate visits to recharging stations during delivery tours of industry-typical length, which have to be considered in the route planning to avoid inefficient vehicle routes with long detours. We introduce the electric vehicle-routing problem with time windows and recharging stations (E-VRPTW), which incorporates the possibility of recharging at any of the available stations using an appropriate recharging scheme. Furthermore, we consider limited vehicle freight capacities as well as customer time windows, which are the most important constraints in real-world logistics applications. As a solution method, we present a hybrid heuristic that combines a variable neighborhood search algorithm with a tabu search heuristic. Tests performed on newly designed instances for the E-VRPTW as well as on benchmark instances of related problems demonstrate the high performance of the heuristic proposed as well as the positive effect of the hybridization.

Suggested Citation

  • 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.
  • Handle: RePEc:inm:ortrsc:v:48:y:2014:i:4:p:500-520
    DOI: 10.1287/trsc.2013.0490
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    References listed on IDEAS

    as
    1. Christos D. Tarantilis & Emmanouil E. Zachariadis & Chris T. Kiranoudis, 2008. "A Hybrid Guided Local Search for the Vehicle-Routing Problem with Intermediate Replenishment Facilities," INFORMS Journal on Computing, INFORMS, vol. 20(1), pages 154-168, February.
    2. Javier Faulin & Fernando Lera-López & Angel A. Juan, 2011. "Optimizing Routes with Safety and Environmental Criteria in Transportation Management in Spain: A Case Study," International Journal of Information Systems and Supply Chain Management (IJISSCM), IGI Global, vol. 4(3), pages 38-59, July.
    3. Abdelkader Sbihi & Richard Eglese, 2010. "Combinatorial optimization and Green Logistics," Annals of Operations Research, Springer, vol. 175(1), pages 159-175, March.
    4. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms," Transportation Science, INFORMS, vol. 39(1), pages 104-118, February.
    5. Paul R. Kleindorfer & Andrei Neboian & Alain Roset & Stefan Spinler, 2012. "Fleet Renewal with Electric Vehicles at La Poste," Interfaces, INFORMS, vol. 42(5), pages 465-477, October.
    6. W Maden & R Eglese & D Black, 2010. "Vehicle routing and scheduling with time-varying data: A case study," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(3), pages 515-522, March.
    7. Paolo Toth & Daniele Vigo, 2003. "The Granular Tabu Search and Its Application to the Vehicle-Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 15(4), pages 333-346, November.
    8. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    9. Dekker, Rommert & Bloemhof, Jacqueline & Mallidis, Ioannis, 2012. "Operations Research for green logistics – An overview of aspects, issues, contributions and challenges," European Journal of Operational Research, Elsevier, vol. 219(3), pages 671-679.
    10. 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.
    11. Ubeda, S. & Arcelus, F.J. & Faulin, J., 2011. "Green logistics at Eroski: A case study," International Journal of Production Economics, Elsevier, vol. 131(1), pages 44-51, May.
    12. 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.
    13. Gilbert Laporte & Yves Nobert & Martin Desrochers, 1985. "Optimal Routing under Capacity and Distance Restrictions," Operations Research, INFORMS, vol. 33(5), pages 1050-1073, October.
    14. Andreas Stenger & Daniele Vigo & Steffen Enz & Michael Schwind, 2013. "An Adaptive Variable Neighborhood Search Algorithm for a Vehicle Routing Problem Arising in Small Package Shipping," Transportation Science, INFORMS, vol. 47(1), pages 64-80, February.
    15. Chung-Lun Li & David Simchi-Levi & Martin Desrochers, 1992. "On the Distance Constrained Vehicle Routing Problem," Operations Research, INFORMS, vol. 40(4), pages 790-799, August.
    16. 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.
    17. Hemmelmayr, Vera C. & Doerner, Karl F. & Hartl, Richard F., 2009. "A variable neighborhood search heuristic for periodic routing problems," European Journal of Operational Research, Elsevier, vol. 195(3), pages 791-802, June.
    18. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    19. 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.
    20. Jeroen Beliën & Liesje De Boeck & Jonas Van Ackere, 2014. "Municipal Solid Waste Collection and Management Problems: A Literature Review," Transportation Science, INFORMS, vol. 48(1), pages 78-102, February.
    21. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2012. "An adaptive large neighborhood search heuristic for the Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 223(2), pages 346-359.
    22. Crevier, Benoit & Cordeau, Jean-Francois & Laporte, Gilbert, 2007. "The multi-depot vehicle routing problem with inter-depot routes," European Journal of Operational Research, Elsevier, vol. 176(2), pages 756-773, January.
    23. T. Ibaraki & S. Imahori & M. Kubo & T. Masuda & T. Uno & M. Yagiura, 2005. "Effective Local Search Algorithms for Routing and Scheduling Problems with General Time-Window Constraints," Transportation Science, INFORMS, vol. 39(2), pages 206-232, May.
    24. Éric Taillard & Philippe Badeau & Michel Gendreau & François Guertin & Jean-Yves Potvin, 1997. "A Tabu Search Heuristic for the Vehicle Routing Problem with Soft Time Windows," Transportation Science, INFORMS, vol. 31(2), pages 170-186, May.
    25. 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.
    26. J-F Cordeau & G Laporte & A Mercier, 2001. "A unified tabu search heuristic for vehicle routing problems with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(8), pages 928-936, August.
    27. Psaraftis, Harilaos N., 1983. "k-Interchange procedures for local search in a precedence-constrained routing problem," European Journal of Operational Research, Elsevier, vol. 13(4), pages 391-402, August.
    28. Martin W. P. Savelsbergh, 1992. "The Vehicle Routing Problem with Time Windows: Minimizing Route Duration," INFORMS Journal on Computing, INFORMS, vol. 4(2), pages 146-154, May.
    29. Davis, Brian A. & Figliozzi, Miguel A., 2013. "A methodology to evaluate the competitiveness of electric delivery trucks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 8-23.
    30. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    31. Baldacci, Roberto & Mingozzi, Aristide & Roberti, Roberto, 2012. "Recent exact algorithms for solving the vehicle routing problem under capacity and time window constraints," European Journal of Operational Research, Elsevier, vol. 218(1), pages 1-6.
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