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A quasi-human algorithm for the two dimensional rectangular strip packing problem: in memory of Prof. Wenqi Huang

Author

Listed:
  • Lei Wang

    (Wuhan University of Science and Technology
    Hubei Province Key Laboratory of Intelligent Information Processing and Real-time Industrial System)

  • Aihua Yin

    (Jiangxi University of Finance and Economics)

Abstract

This paper presents a quasi-human algorithm for the rectangular strip packing problem without guillotine constraint. The basic version of the algorithm works according to seven heuristic selection rules, which are designed to select a corner-occupying action. The strengthened version of the algorithm adopts a branching scheme in which the basic version of the algorithm is applied in a heuristic series of parallel branches. Computational tests carried on eight sets of well-known benchmark instances show that the algorithm is efficient for approximately solving the problem. In comparison with the best algorithms in the literature, the algorithm performs better for zero-waste instances and large scale non-zero-waste instances.

Suggested Citation

  • Lei Wang & Aihua Yin, 2016. "A quasi-human algorithm for the two dimensional rectangular strip packing problem: in memory of Prof. Wenqi Huang," Journal of Combinatorial Optimization, Springer, vol. 32(2), pages 416-444, August.
    • Handle: RePEc:spr:jcomop:v:32:y:2016:i:2:d:10.1007_s10878-015-9961-z
    DOI: 10.1007/s10878-015-9961-z
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    References listed on IDEAS

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    1. Nicos Christofides & Charles Whitlock, 1977. "An Algorithm for Two-Dimensional Cutting Problems," Operations Research, INFORMS, vol. 25(1), pages 30-44, February.
    2. Defu Zhang & Lijun Wei & Stephen C. H. Leung & Qingshan Chen, 2013. "A Binary Search Heuristic Algorithm Based on Randomized Local Search for the Rectangular Strip-Packing Problem," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 332-345, May.
    3. Andrea Lodi & Silvano Martello & Daniele Vigo, 1999. "Heuristic and Metaheuristic Approaches for a Class of Two-Dimensional Bin Packing Problems," INFORMS Journal on Computing, INFORMS, vol. 11(4), pages 345-357, November.
    4. Bortfeldt, Andreas, 2006. "A genetic algorithm for the two-dimensional strip packing problem with rectangular pieces," European Journal of Operational Research, Elsevier, vol. 172(3), pages 814-837, August.
    5. Leung, Stephen C.H. & Zhang, Defu & Sim, Kwang Mong, 2011. "A two-stage intelligent search algorithm for the two-dimensional strip packing problem," European Journal of Operational Research, Elsevier, vol. 215(1), pages 57-69, November.
    6. J. E. Beasley, 1985. "An Exact Two-Dimensional Non-Guillotine Cutting Tree Search Procedure," Operations Research, INFORMS, vol. 33(1), pages 49-64, February.
    7. Leung, T. W. & Chan, Chi Kin & Troutt, Marvin D., 2003. "Application of a mixed simulated annealing-genetic algorithm heuristic for the two-dimensional orthogonal packing problem," European Journal of Operational Research, Elsevier, vol. 145(3), pages 530-542, March.
    8. 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.
    9. 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.
    10. Duanbing Chen & Wenqi Huang, 2007. "A New Heuristic Algorithm For Constrained Rectangle-Packing Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 463-478.
    11. E. K. Burke & G. Kendall & G. Whitwell, 2004. "A New Placement Heuristic for the Orthogonal Stock-Cutting Problem," Operations Research, INFORMS, vol. 52(4), pages 655-671, August.
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