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Simple but effective heuristics for the 2-constraint bin packing problem

Author

Listed:
  • Roberto Aringhieri

    (Università degli Studi di Torino)

  • Davide Duma

    (Università degli Studi di Torino)

  • Andrea Grosso

    (Università degli Studi di Torino)

  • Pierre Hosteins

    (Università degli Studi di Torino)

Abstract

The 2-constraint bin packing problem consists in packing a given number of items, each one characterised by two different but not related dimensions, into the minimum number of bins in such a way to do not exceed the capacity of the bins in either dimension. The development of the heuristics for this problem is challenged by the need of a proper definition of the criterion for evaluating the feasibility of the two capacity constraints on the two different dimensions. In this paper, we propose a computational evaluation of several criteria, and two simple but effective algorithms—a greedy and neighbourhood search algorithms—for solving the 2-constraint bin packing problem. An extensive computational analysis supports our main claim.

Suggested Citation

  • Roberto Aringhieri & Davide Duma & Andrea Grosso & Pierre Hosteins, 2018. "Simple but effective heuristics for the 2-constraint bin packing problem," Journal of Heuristics, Springer, vol. 24(3), pages 345-357, June.
    • Handle: RePEc:spr:joheur:v:24:y:2018:i:3:d:10.1007_s10732-017-9326-0
    DOI: 10.1007/s10732-017-9326-0
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    References listed on IDEAS

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    1. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1994. "A Tabu Search Heuristic for the Vehicle Routing Problem," Management Science, INFORMS, vol. 40(10), pages 1276-1290, October.
    2. Alves, Cláudio & de Carvalho, José Valério & Clautiaux, François & Rietz, Jürgen, 2014. "Multidimensional dual-feasible functions and fast lower bounds for the vector packing problem," European Journal of Operational Research, Elsevier, vol. 233(1), pages 43-63.
    3. Michele Monaci & Paolo Toth, 2006. "A Set-Covering-Based Heuristic Approach for Bin-Packing Problems," INFORMS Journal on Computing, INFORMS, vol. 18(1), pages 71-85, February.
    4. Roberto Aringhieri, 2009. "Composing medical crews with equity and efficiency," 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. 17(3), pages 343-357, September.
    5. Billaut, Jean-Charles & Della Croce, Federico & Grosso, Andrea, 2015. "A single machine scheduling problem with two-dimensional vector packing constraints," European Journal of Operational Research, Elsevier, vol. 243(1), pages 75-81.
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    Cited by:

    1. Katrin Heßler & Stefan Irnich & Tobias Kreiter & Ulrich Pferschy, 2022. "Bin packing with lexicographic objectives for loading weight- and volume-constrained trucks in a direct-shipping system," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 1-43, June.
    2. Aringhieri, Roberto & Duma, Davide & Landa, Paolo & Mancini, Simona, 2022. "Combining workload balance and patient priority maximisation in operating room planning through hierarchical multi-objective optimisation," European Journal of Operational Research, Elsevier, vol. 298(2), pages 627-643.
    3. Katrin Heßler & Stefan Irnich & Tobias Kreiter & Ulrich Pferschy, 2020. "Lexicographic Bin-Packing Optimization for Loading Trucks in a Direct-Shipping System," Working Papers 2009, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.

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