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

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  • Polyakovsky, Sergey
  • M'Hallah, Rym

Abstract

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.

Suggested Citation

  • Polyakovsky, Sergey & M'Hallah, Rym, 2009. "An agent-based approach to the two-dimensional guillotine bin packing problem," European Journal of Operational Research, Elsevier, vol. 192(3), pages 767-781, February.
    • Handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:767-781
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    2. Polyakovskiy, Sergey & M’Hallah, Rym, 2022. "A lookahead matheuristic for the unweighed variable-sized two-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 299(1), pages 104-117.
    3. Cui, Yi-Ping & Cui, Yaodong & Tang, Tianbing, 2015. "Sequential heuristic for the two-dimensional bin-packing problem," European Journal of Operational Research, Elsevier, vol. 240(1), pages 43-53.
    4. Hong, Shaohui & Zhang, Defu & Lau, Hoong Chuin & Zeng, XiangXiang & Si, Yain-Whar, 2014. "A hybrid heuristic algorithm for the 2D variable-sized bin packing problem," European Journal of Operational Research, Elsevier, vol. 238(1), pages 95-103.
    5. François Clautiaux & Ruslan Sadykov & François Vanderbeck & Quentin Viaud, 2019. "Pattern-based diving heuristics for a two-dimensional guillotine cutting-stock problem with leftovers," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 7(3), pages 265-297, September.
    6. Wang, Xiaoping & Zhao, Yunliang & Sun, Peng & Wang, Xiaobin, 2013. "An analysis on convergence of data-driven approach to ship lock scheduling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 88(C), pages 31-38.
    7. Dutta, Kaushik & VanderMeer, Debra, 2011. "Cost-based decision-making in middleware virtualization environments," European Journal of Operational Research, Elsevier, vol. 210(2), pages 344-357, April.
    8. Han, Wei & Bennell, Julia A. & Zhao, Xiaozhou & Song, Xiang, 2013. "Construction heuristics for two-dimensional irregular shape bin packing with guillotine constraints," European Journal of Operational Research, Elsevier, vol. 230(3), pages 495-504.
    9. Martinez-Sykora, Antonio & Alvarez-Valdes, Ramon & Bennell, Julia & Tamarit, Jose Manuel, 2015. "Constructive procedures to solve 2-dimensional bin packing problems with irregular pieces and guillotine cuts," Omega, Elsevier, vol. 52(C), pages 15-32.
    10. Polyakovskiy, Sergey & M’Hallah, Rym, 2021. "Just-in-time two-dimensional bin packing," Omega, Elsevier, vol. 102(C).
    11. Nikolaus Furian & Siegfried Vössner, 2013. "Constrained order packing: comparison of heuristic approaches for a new bin packing problem," 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. 21(1), pages 237-264, January.
    12. Gardeyn, Jeroen & Wauters, Tony, 2022. "A goal-driven ruin and recreate heuristic for the 2D variable-sized bin packing problem with guillotine constraints," European Journal of Operational Research, Elsevier, vol. 301(2), pages 432-444.

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