IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v264y2018i1p119-137.html
   My bibliography  Save this article

Solving the pickup and delivery problem with three-dimensional loading constraints and reloading ban

Author

Listed:
  • Männel, Dirk
  • Bortfeldt, Andreas

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 three-dimensional loading constraints (3L-PDP). We are given a set of requests and a homogeneous fleet of vehicles. 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 set of rectangular boxes and the vehicle capacity is replaced by a 3D loading space.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:264:y:2018:i:1:p:119-137
    DOI: 10.1016/j.ejor.2017.05.034
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221717304812
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2017.05.034?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Bischoff, E. E. & Ratcliff, M. S. W., 1995. "Issues in the development of approaches to container loading," Omega, Elsevier, vol. 23(4), pages 377-390, August.
    3. 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.
    4. Michel Gendreau & Manuel Iori & Gilbert Laporte & Silvano Martello, 2006. "A Tabu Search Algorithm for a Routing and Container Loading Problem," Transportation Science, INFORMS, vol. 40(3), pages 342-350, August.
    5. Bortfeldt, Andreas & Wäscher, Gerhard, 2013. "Constraints in container loading – A state-of-the-art review," European Journal of Operational Research, Elsevier, vol. 229(1), pages 1-20.
    6. Teodor Gabriel Crainic & Guido Perboli & Roberto Tadei, 2008. "Extreme Point-Based Heuristics for Three-Dimensional Bin Packing," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 368-384, August.
    7. 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.
    8. 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.
    9. Hang Xu & Zhi-Long Chen & Srinivas Rajagopal & Sundar Arunapuram, 2003. "Solving a Practical Pickup and Delivery Problem," Transportation Science, INFORMS, vol. 37(3), pages 347-364, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rajaei, Maryam & Moslehi, Ghasem & Reisi-Nafchi, Mohammad, 2022. "The split heterogeneous vehicle routing problem with three-dimensional loading constraints on a large scale," European Journal of Operational Research, Elsevier, vol. 299(2), pages 706-721.
    2. Bonet Filella, Guillem & Trivella, Alessio & Corman, Francesco, 2023. "Modeling soft unloading constraints in the multi-drop container loading problem," European Journal of Operational Research, Elsevier, vol. 308(1), pages 336-352.
    3. Cherkesly, Marilène & Gschwind, Timo, 2022. "The pickup and delivery problem with time windows, multiple stacks, and handling operations," European Journal of Operational Research, Elsevier, vol. 301(2), pages 647-666.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Rajaei, Maryam & Moslehi, Ghasem & Reisi-Nafchi, Mohammad, 2022. "The split heterogeneous vehicle routing problem with three-dimensional loading constraints on a large scale," European Journal of Operational Research, Elsevier, vol. 299(2), pages 706-721.
    8. 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.
    9. Bortfeldt, Andreas & Yi, Junmin, 2020. "The Split Delivery Vehicle Routing Problem with three-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 282(2), pages 545-558.
    10. 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.
    11. Bonet Filella, Guillem & Trivella, Alessio & Corman, Francesco, 2023. "Modeling soft unloading constraints in the multi-drop container loading problem," European Journal of Operational Research, Elsevier, vol. 308(1), pages 336-352.
    12. Gajda, Mikele & Trivella, Alessio & Mansini, Renata & Pisinger, David, 2022. "An optimization approach for a complex real-life container loading problem," Omega, Elsevier, vol. 107(C).
    13. 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.
    14. Reil, Sebastian & Bortfeldt, Andreas & Mönch, Lars, 2018. "Heuristics for vehicle routing problems with backhauls, time windows, and 3D loading constraints," European Journal of Operational Research, Elsevier, vol. 266(3), pages 877-894.
    15. Bortfeldt, Andreas & Wäscher, Gerhard, 2013. "Constraints in container loading – A state-of-the-art review," European Journal of Operational Research, Elsevier, vol. 229(1), pages 1-20.
    16. Tian, Tian & Zhu, Wenbin & Lim, Andrew & Wei, Lijun, 2016. "The multiple container loading problem with preference," European Journal of Operational Research, Elsevier, vol. 248(1), pages 84-94.
    17. Cherkesly, Marilène & Gschwind, Timo, 2022. "The pickup and delivery problem with time windows, multiple stacks, and handling operations," European Journal of Operational Research, Elsevier, vol. 301(2), pages 647-666.
    18. 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.
    19. Toffolo, Túlio A.M. & Esprit, Eline & Wauters, Tony & Vanden Berghe, Greet, 2017. "A two-dimensional heuristic decomposition approach to a three-dimensional multiple container loading problem," European Journal of Operational Research, Elsevier, vol. 257(2), pages 526-538.
    20. Galrão Ramos, A. & Oliveira, José F. & Gonçalves, José F. & Lopes, Manuel P., 2016. "A container loading algorithm with static mechanical equilibrium stability constraints," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 565-581.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:264:y:2018:i:1:p:119-137. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.