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An effective quasi-human based heuristic for solving the rectangle packing problem

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  • Wu, Yu-Liang
  • Huang, Wenqi
  • Lau, Siu-chung
  • Wong, C. K.
  • Young, Gilbert H.

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  • Wu, Yu-Liang & Huang, Wenqi & Lau, Siu-chung & Wong, C. K. & Young, Gilbert H., 2002. "An effective quasi-human based heuristic for solving the rectangle packing problem," European Journal of Operational Research, Elsevier, vol. 141(2), pages 341-358, September.
    • Handle: RePEc:eee:ejores:v:141:y:2002:i:2:p:341-358
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    References listed on IDEAS

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    1. Jakobs, Stefan, 1996. "On genetic algorithms for the packing of polygons," European Journal of Operational Research, Elsevier, vol. 88(1), pages 165-181, January.
    2. P. Y. Wang, 1983. "Two Algorithms for Constrained Two-Dimensional Cutting Stock Problems," Operations Research, INFORMS, vol. 31(3), pages 573-586, June.
    3. Haessler, Robert W. & Sweeney, Paul E., 1991. "Cutting stock problems and solution procedures," European Journal of Operational Research, Elsevier, vol. 54(2), pages 141-150, September.
    4. Liu, Dequan & Teng, Hongfei, 1999. "An improved BL-algorithm for genetic algorithm of the orthogonal packing of rectangles," European Journal of Operational Research, Elsevier, vol. 112(2), pages 413-420, January.
    5. J. E. Beasley, 1985. "An Exact Two-Dimensional Non-Guillotine Cutting Tree Search Procedure," Operations Research, INFORMS, vol. 33(1), pages 49-64, February.
    6. Christofides, Nicos & Hadjiconstantinou, Eleni, 1995. "An exact algorithm for orthogonal 2-D cutting problems using guillotine cuts," European Journal of Operational Research, Elsevier, vol. 83(1), pages 21-38, May.
    7. K. V. Viswanathan & A. Bagchi, 1993. "Best-First Search Methods for Constrained Two-Dimensional Cutting Stock Problems," Operations Research, INFORMS, vol. 41(4), pages 768-776, August.
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    Cited by:

    1. Alvarez-Valdes, R. & Parreno, F. & Tamarit, J.M., 2007. "A tabu search algorithm for a two-dimensional non-guillotine cutting problem," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1167-1182, December.
    2. Felix Prause & Kai Hoppmann-Baum & Boris Defourny & Thorsten Koch, 2021. "The maximum diversity assortment selection problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 521-554, June.
    3. 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.
    4. Zhu, Wenbin & Lim, Andrew, 2012. "A new iterative-doubling Greedy–Lookahead algorithm for the single container loading problem," European Journal of Operational Research, Elsevier, vol. 222(3), pages 408-417.
    5. Lu, Hao-Chun & Huang, Yao-Huei, 2015. "An efficient genetic algorithm with a corner space algorithm for a cutting stock problem in the TFT-LCD industry," European Journal of Operational Research, Elsevier, vol. 246(1), pages 51-65.
    6. István Borgulya, 2019. "An EDA for the 2D knapsack problem with guillotine constraint," 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. 27(2), pages 329-356, June.
    7. Wei, Lijun & Oon, Wee-Chong & Zhu, Wenbin & Lim, Andrew, 2012. "A reference length approach for the 3D strip packing problem," European Journal of Operational Research, Elsevier, vol. 220(1), pages 37-47.
    8. Yang Wang & Jin-Kao Hao & Fred Glover & Zhipeng Lü & Qinghua Wu, 2016. "Solving the maximum vertex weight clique problem via binary quadratic programming," Journal of Combinatorial Optimization, Springer, vol. 32(2), pages 531-549, August.
    9. Bortfeldt, Andreas, 2013. "A reduction approach for solving the rectangle packing area minimization problem," European Journal of Operational Research, Elsevier, vol. 224(3), pages 486-496.
    10. R Alvarez-Valdes & F Parreño & J M Tamarit, 2005. "A GRASP algorithm for constrained two-dimensional non-guillotine cutting problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 414-425, April.
    11. Imahori, S. & Yagiura, M. & Ibaraki, T., 2005. "Improved local search algorithms for the rectangle packing problem with general spatial costs," European Journal of Operational Research, Elsevier, vol. 167(1), pages 48-67, November.
    12. Wei, Lijun & Oon, Wee-Chong & Zhu, Wenbin & Lim, Andrew, 2011. "A skyline heuristic for the 2D rectangular packing and strip packing problems," European Journal of Operational Research, Elsevier, vol. 215(2), pages 337-346, December.
    13. 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.
    14. Wenbin Zhu & Zhixing Luo & Andrew Lim & Wee-Chong Oon, 2016. "A fast implementation for the 2D/3D box placement problem," Computational Optimization and Applications, Springer, vol. 63(2), pages 585-612, March.

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