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A Hybrid Algorithm for the Vehicle Routing Problem with Pickup and Delivery and 3D Loading Constraints

Author

Listed:
  • Dirk Männel

    (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

  • Andreas Bortfeldt

    (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

Abstract

In this paper, we extend the classical Pickup and Delivery Problem (PDP) to an integrated routing and three-dimensional loading problem, called PDP with 3D loading constraints (3L-PDP). A set of routes of minimum total length has to be determined such that each request is transported from a loading site to the corresponding unloading site. In the 3L-PDP, each request is given as a set of 3D rectangular items (boxes) and the vehicle capacity is replaced by a 3D loading space. We investigate which constraints will ensure that no reloading effort will occur, i.e. that no box is moved after loading and before unloading. A spectrum of 3L-PDP variants is introduced with different characteristics in terms of reloading effort. We propose a hybrid algorithm for solving the 3L-PDP consisting of a routing and a packing procedure. The routing procedure modifies a well-known large neighborhood search for the 1D-PDP. A tree search heuristic is responsible for packing boxes. Computational experiments were carried out using 54 newly proposed 3L-PDP benchmark instances.

Suggested Citation

  • Dirk Männel & Andreas Bortfeldt, 2015. "A Hybrid Algorithm for the Vehicle Routing Problem with Pickup and Delivery and 3D Loading Constraints," FEMM Working Papers 150015, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    • Handle: RePEc:mag:wpaper:150015
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    References listed on IDEAS

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    7. Bortfeldt, Andreas & Hahn, Thomas & Männel, Dirk & Mönch, Lars, 2015. "Hybrid algorithms for the vehicle routing problem with clustered backhauls and 3D loading constraints," European Journal of Operational Research, Elsevier, vol. 243(1), pages 82-96.
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    13. Emmanouil E. Zachariadis & Christos D. Tarantilis & Chris T. Kiranoudis, 2012. "The Pallet-Packing Vehicle Routing Problem," Transportation Science, INFORMS, vol. 46(3), pages 341-358, August.
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    Cited by:

    1. Männel, Dirk & Bortfeldt, Andreas, 2018. "Solving the pickup and delivery problem with three-dimensional loading constraints and reloading ban," European Journal of Operational Research, Elsevier, vol. 264(1), pages 119-137.
    2. Xiang Song & Dylan Jones & Nasrin Asgari & Tim Pigden, 2020. "Multi-objective vehicle routing and loading with time window constraints: a real-life application," Annals of Operations Research, Springer, vol. 291(1), pages 799-825, August.
    3. Henriette Koch & Andreas Bortfeldt & Gerhard Wäscher, 2018. "A hybrid algorithm for the vehicle routing problem with backhauls, time windows and three-dimensional loading constraints," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 1029-1075, October.
    4. Shi, Yong & Boudouh, Toufik & Grunder, Olivier, 2019. "A robust optimization for a home health care routing and scheduling problem with consideration of uncertain travel and service times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 52-95.
    5. Sadati, Mir Ehsan Hesam & Çatay, Bülent, 2021. "A hybrid variable neighborhood search approach for the multi-depot green vehicle routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
    6. Maria João Santos & Pedro Amorim & Alexandra Marques & Ana Carvalho & Ana Póvoa, 2020. "The vehicle routing problem with backhauls towards a sustainability perspective: a review," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(2), pages 358-401, July.
    7. Dirk Männel & Andreas Bortfeldt, 2015. "Solving the Pickup and Delivery Problem with 3D Loading Constraints and Reloading Ban," FEMM Working Papers 150016, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    8. Carlos A. Vega-Mejía & Jairo R. Montoya-Torres & Sardar M. N. Islam, 2019. "Consideration of triple bottom line objectives for sustainability in the optimization of vehicle routing and loading operations: a systematic literature review," Annals of Operations Research, Springer, vol. 273(1), pages 311-375, February.
    9. Ana Moura & Telmo Pinto & Cláudio Alves & José Valério de Carvalho, 2023. "A Matheuristic Approach to the Integration of Three-Dimensional Bin Packing Problem and Vehicle Routing Problem with Simultaneous Delivery and Pickup," Mathematics, MDPI, vol. 11(3), pages 1-16, January.
    10. Yuan Shiyi & Fu Jianwen & Cui Feng & Zhang Xin, 2020. "Truck and Trailer Routing Problem Solving by a Backtracking Search Algorithm," Journal of Systems Science and Information, De Gruyter, vol. 8(3), pages 253-272, June.
    11. Henriette Koch & Andreas Bortfeldt & Gerhard Wäscher, 2017. "A hybrid solution approach for the 3L-VRP with simultaneous delivery and pickups," FEMM Working Papers 170005, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    12. Männel, Dirk & Bortfeldt, Andreas, 2016. "A hybrid algorithm for the vehicle routing problem with pickup and delivery and three-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 254(3), pages 840-858.
    13. Naccache, Salma & Côté, Jean-François & Coelho, Leandro C., 2018. "The multi-pickup and delivery problem with time windows," European Journal of Operational Research, Elsevier, vol. 269(1), pages 353-362.
    14. Xiang Song & Dylan Jones & Nasrin Asgari & Tim Pigden, 0. "Multi-objective vehicle routing and loading with time window constraints: a real-life application," Annals of Operations Research, Springer, vol. 0, pages 1-27.
    15. Henriette Koch & Maximilian Schlögell & Andreas Bortfeldt, 2020. "A hybrid algorithm for the vehicle routing problem with three-dimensional loading constraints and mixed backhauls," Journal of Scheduling, Springer, vol. 23(1), pages 71-93, February.

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    Keywords

    Transportation; vehicle routing; pickup and delivery; 3D loading constraints;
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