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An agent-based approach to the two-dimensional guillotine bin packing problem

  • Polyakovsky, Sergey
  • M'Hallah, Rym
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    The two-dimensional guillotine bin packing problem consists of packing, without overlap, small rectangular items into the smallest number of large rectangular bins where items are obtained via guillotine cuts. This problem is solved using a new guillotine bottom left (GBL) constructive heuristic and its agent-based (A-B) implementation. GBL, which is sequential, successively packs items into a bin and creates a new bin every time it can no longer fit any unpacked item into the current one. A-B, which is pseudo-parallel, uses the simplest system of artificial life. This system consists of active agents dynamically interacting in real time to jointly fill the bins while each agent is driven by its own parameters, decision process, and fitness assessment. A-B is particularly fast and yields near-optimal solutions. Its modularity makes it easily adaptable to knapsack related problems.

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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 192 (2009)
    Issue (Month): 3 (February)
    Pages: 767-781

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    Handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:767-781
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. Lodi, Andrea & Martello, Silvano & Vigo, Daniele, 1999. "Approximation algorithms for the oriented two-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 112(1), pages 158-166, January.
    2. Silvano Martello & Daniele Vigo, 1998. "Exact Solution of the Two-Dimensional Finite Bin Packing Problem," Management Science, INFORMS, vol. 44(3), pages 388-399, March.
    3. Mes, Martijn & van der Heijden, Matthieu & van Harten, Aart, 2007. "Comparison of agent-based scheduling to look-ahead heuristics for real-time transportation problems," European Journal of Operational Research, Elsevier, vol. 181(1), pages 59-75, August.
    4. Dowsland, Kathryn A., 1993. "Some experiments with simulated annealing techniques for packing problems," European Journal of Operational Research, Elsevier, vol. 68(3), pages 389-399, August.
    5. 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.
    6. Beasley, J. E., 2004. "A population heuristic for constrained two-dimensional non-guillotine cutting," European Journal of Operational Research, Elsevier, vol. 156(3), pages 601-627, August.
    7. Hopper, E. & Turton, B. C. H., 2001. "An empirical investigation of meta-heuristic and heuristic algorithms for a 2D packing problem," European Journal of Operational Research, Elsevier, vol. 128(1), pages 34-57, January.
    8. 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.
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