IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v54y2003i4d10.1057_palgrave.jors.2601528.html
   My bibliography  Save this article

A distributed global optimization method for packing problems

Author

Listed:
  • H-L Li

    (National Chiao Tung University)

  • J-F Tsai

    (National Chiao Tung University)

  • N-Z Hu

    (National Chiao Tung University)

Abstract

Packing optimization problems aim to seek the best way of placing a given set of rectangular cartons within a minimum volume rectangular container. Currently, packing optimization methods either have difficulty in finding a globally optimal solution or are computationally inefficient, because models involve too many 0–1 variables and because use of just a single computer. This study proposes a distributed computation method for solving a packing problem by a set of personal computers via the Internet. First, the traditional packing optimization model is converted into an equivalent model containing many fewer 0–1 variables. Then the model is decomposed into several sub-problems by dividing the objective value into many intervals. Each of these sub-problems is a linearized logarithmic program expressed as a linear mixed 0–1 problem. The whole problem is solvable and reaches a globally optimal solution. The numerical examples demonstrate that the proposed method can obtain the global optimum of a packing problem effectively.

Suggested Citation

  • H-L Li & J-F Tsai & N-Z Hu, 2003. "A distributed global optimization method for packing problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(4), pages 419-425, April.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:4:d:10.1057_palgrave.jors.2601528
    DOI: 10.1057/palgrave.jors.2601528
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2601528
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/palgrave.jors.2601528?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. Faina, Loris, 2000. "A global optimization algorithm for the three-dimensional packing problem," European Journal of Operational Research, Elsevier, vol. 126(2), pages 340-354, October.
    2. Pisinger, David, 2002. "Heuristics for the container loading problem," European Journal of Operational Research, Elsevier, vol. 141(2), pages 382-392, September.
    3. Chen, C. S. & Lee, S. M. & Shen, Q. S., 1995. "An analytical model for the container loading problem," European Journal of Operational Research, Elsevier, vol. 80(1), pages 68-76, January.
    4. Beasley, J. E., 1985. "An algorithm for the two-dimensional assortment problem," European Journal of Operational Research, Elsevier, vol. 19(2), pages 253-261, February.
    5. Li, Han-Lin & Chang, Ching-Ter, 1998. "An approximately global optimization method for assortment problems," European Journal of Operational Research, Elsevier, vol. 105(3), pages 604-612, March.
    6. Terno, Johannes & Scheithauer, Guntram & Sommerwei[ss], Uta & Riehme, Jan, 2000. "An efficient approach for the multi-pallet loading problem," European Journal of Operational Research, Elsevier, vol. 123(2), pages 372-381, June.
    7. Silvano Martello & David Pisinger & Daniele Vigo, 2000. "The Three-Dimensional Bin Packing Problem," Operations Research, INFORMS, vol. 48(2), pages 256-267, April.
    8. Fayard, Didier & Zissimopoulos, Vassilis, 1995. "An approximation algorithm for solving unconstrained two-dimensional knapsack problems," European Journal of Operational Research, Elsevier, vol. 84(3), pages 618-632, 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. Tsai, Jung-Fa, 2007. "An optimization approach for supply chain management models with quantity discount policy," European Journal of Operational Research, Elsevier, vol. 177(2), pages 982-994, March.
    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. 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.

    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. 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.
    2. Sciomachen, Anna & Tanfani, Elena, 2007. "A 3D-BPP approach for optimising stowage plans and terminal productivity," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1433-1446, December.
    3. 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.
    4. Lim, Andrew & Ma, Hong & Qiu, Chaoyang & Zhu, Wenbin, 2013. "The single container loading problem with axle weight constraints," International Journal of Production Economics, Elsevier, vol. 144(1), pages 358-369.
    5. 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.
    6. Daniel Mack & Andreas Bortfeldt, 2012. "A heuristic for solving large bin packing problems in two and three dimensions," 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. 20(2), pages 337-354, June.
    7. Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.
    8. Paquay, Célia & Limbourg, Sabine & Schyns, Michaël, 2018. "A tailored two-phase constructive heuristic for the three-dimensional Multiple Bin Size Bin Packing Problem with transportation constraints," European Journal of Operational Research, Elsevier, vol. 267(1), pages 52-64.
    9. Lorenzo Brunetta & Philippe Grégoire, 2005. "A General Purpose Algorithm for Three-Dimensional Packing," INFORMS Journal on Computing, INFORMS, vol. 17(3), pages 328-338, August.
    10. T N Wong & P S Chow & D Sculli, 2006. "A heuristic for sea-freight container selection, cargo allocation and cargo orientation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(12), pages 1452-1463, December.
    11. Manuel Iori & Juan-José Salazar-González & Daniele Vigo, 2007. "An Exact Approach for the Vehicle Routing Problem with Two-Dimensional Loading Constraints," Transportation Science, INFORMS, vol. 41(2), pages 253-264, May.
    12. M-K Kang & C-S Jang & K-S Yoon, 2010. "Heuristics with a new block strategy for the single and multiple containers loading problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 95-107, January.
    13. Wu, Yong & Li, Wenkai & Goh, Mark & de Souza, Robert, 2010. "Three-dimensional bin packing problem with variable bin height," European Journal of Operational Research, Elsevier, vol. 202(2), pages 347-355, April.
    14. Tobias Fanslau & Andreas Bortfeldt, 2010. "A Tree Search Algorithm for Solving the Container Loading Problem," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 222-235, May.
    15. Sheng, Liu & Hongxia, Zhao & Xisong, Dong & Changjian, Cheng, 2016. "A heuristic algorithm for container loading of pallets with infill boxes," European Journal of Operational Research, Elsevier, vol. 252(3), pages 728-736.
    16. Giorgio Fasano, 2013. "A global optimization point of view to handle non-standard object packing problems," Journal of Global Optimization, Springer, vol. 55(2), pages 279-299, February.
    17. Lodi, Andrea & Martello, Silvano & Monaci, Michele, 2002. "Two-dimensional packing problems: A survey," European Journal of Operational Research, Elsevier, vol. 141(2), pages 241-252, September.
    18. 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.
    19. Zhu, Wenbin & Huang, Weili & Lim, Andrew, 2012. "A prototype column generation strategy for the multiple container loading problem," European Journal of Operational Research, Elsevier, vol. 223(1), pages 27-39.
    20. 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.

    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:pal:jorsoc:v:54:y:2003:i:4:d:10.1057_palgrave.jors.2601528. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    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.