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Heuristic Approaches for the Fleet Size and Mix Vehicle Routing Problem with Time Windows

Author

Listed:
  • Mauro Dell'Amico

    (DISMI, Università di Modena e Reggio Emilia, Via Amendola 2, 42100, Reggio Emilia, Italy)

  • Michele Monaci

    (DEI, Università di Padova, Via Gradenigo 6/A, 35131, Padova, Italy)

  • Corrado Pagani

    (DISMI, Università di Modena e Reggio Emilia, Via Amendola 2, 42100, Reggio Emilia, Italy)

  • Daniele Vigo

    (DEIS, Università di Bologna, Viale Risorgimento 2, 40136, Bologna, Italy)

Abstract

The fleet size and mix vehicle routing problem with time windows (FSMVRPTW) is the problem of determining, at the same time, the composition and the routing of a fleet of heterogeneous vehicles aimed to serve a given set of customers. The routing problem requires us to design a set of minimum-cost routes originating and terminating at a central depot and serving customers with known demands, within given time windows. This paper develops a constructive insertion heuristic and a metaheuristic algorithm for FSMVRPTW. Extensive computational experiments on benchmark instances show that the proposed method is robust and efficient, and outperforms the previously published results.

Suggested Citation

  • Mauro Dell'Amico & Michele Monaci & Corrado Pagani & Daniele Vigo, 2007. "Heuristic Approaches for the Fleet Size and Mix Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 41(4), pages 516-526, November.
    • Handle: RePEc:inm:ortrsc:v:41:y:2007:i:4:p:516-526
    DOI: 10.1287/trsc.1070.0190
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    References listed on IDEAS

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    1. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    2. F-H Liu & S-Y Shen, 1999. "The fleet size and mix vehicle routing problem with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 721-732, July.
    3. A. W. J. Kolen & A. H. G. Rinnooy Kan & H. W. J. M. Trienekens, 1987. "Vehicle Routing with Time Windows," Operations Research, INFORMS, vol. 35(2), pages 266-273, April.
    4. Renaud, Jacques & Boctor, Fayez F., 2002. "A sweep-based algorithm for the fleet size and mix vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 140(3), pages 618-628, August.
    5. Potvin, Jean-Yves & Rousseau, Jean-Marc, 1993. "A parallel route building algorithm for the vehicle routing and scheduling problem with time windows," European Journal of Operational Research, Elsevier, vol. 66(3), pages 331-340, May.
    6. Andrea Lodi & Silvano Martello & Daniele Vigo, 1999. "Heuristic and Metaheuristic Approaches for a Class of Two-Dimensional Bin Packing Problems," INFORMS Journal on Computing, INFORMS, vol. 11(4), pages 345-357, November.
    7. W Dullaert & G K Janssens & K Sörensen & B Vernimmen, 2002. "New heuristics for the Fleet Size and Mix Vehicle Routing Problem with Time Windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(11), pages 1232-1238, November.
    8. 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.
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    Cited by:

    1. Malladi, Satya S. & Christensen, Jonas M. & Ramírez, David & Larsen, Allan & Pacino, Dario, 2022. "Stochastic fleet mix optimization: Evaluating electromobility in urban logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    2. Schneider, M., 2016. "The vehicle-routing problem with time windows and driver-specific times," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 65941, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    3. Puca Huachi Vaz Penna & Anand Subramanian & Luiz Satoru Ochi & Thibaut Vidal & Christian Prins, 2019. "A hybrid heuristic for a broad class of vehicle routing problems with heterogeneous fleet," Annals of Operations Research, Springer, vol. 273(1), pages 5-74, February.
    4. M. Angélica Salazar-Aguilar & Vincent Boyer & Romeo Sanchez Nigenda & Iris A. Martínez-Salazar, 2019. "The sales force sizing problem with multi-period workload assignments, and service time windows," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 199-218, March.
    5. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2016. "The fleet size and mix location-routing problem with time windows: Formulations and a heuristic algorithm," European Journal of Operational Research, Elsevier, vol. 248(1), pages 33-51.
    6. Olli Bräysy & Wout Dullaert & Geir Hasle & David Mester & Michel Gendreau, 2008. "An Effective Multirestart Deterministic Annealing Metaheuristic for the Fleet Size and Mix Vehicle-Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 42(3), pages 371-386, August.
    7. B. Mahadevan & S. Sivakumar & D. Dinesh Kumar & K. Ganeshram, 2013. "Redesigning Midday Meal Logistics for the Akshaya Patra Foundation: OR at Work in Feeding Hungry School Children," Interfaces, INFORMS, vol. 43(6), pages 530-546, December.
    8. C E Cortés & M Gendreau & D Leng & A Weintraub, 2011. "A simulation-based approach for fleet design in a technician dispatch problem with stochastic demand," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(8), pages 1510-1523, August.
    9. 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.
    10. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2016. "Thirty years of heterogeneous vehicle routing," European Journal of Operational Research, Elsevier, vol. 249(1), pages 1-21.
    11. Schneider, Michael, 2016. "The vehicle-routing problem with time windows and driver-specific times," European Journal of Operational Research, Elsevier, vol. 250(1), pages 101-119.
    12. João L. V. Manguino & Débora P. Ronconi, 2022. "Step cost functions in a fleet size and mix vehicle routing problem with time windows," Annals of Operations Research, Springer, vol. 316(2), pages 1013-1038, September.

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