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A recursive exact algorithm for weighted two-dimensional cutting

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  • Hifi, M.
  • Zissimopoulos, V.

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  • Hifi, M. & Zissimopoulos, V., 1996. "A recursive exact algorithm for weighted two-dimensional cutting," European Journal of Operational Research, Elsevier, vol. 91(3), pages 553-564, June.
    • Handle: RePEc:eee:ejores:v:91:y:1996:i:3:p:553-564
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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. Oliveira, JoseFernando & Ferreira, JoseSoeiro, 1990. "An improved version of Wang's algorithm for two-dimensional cutting problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 256-266, January.
    3. Dowsland, Kathryn A. & Dowsland, William B., 1992. "Packing problems," European Journal of Operational Research, Elsevier, vol. 56(1), pages 2-14, January.
    4. J. E. Beasley, 1985. "An Exact Two-Dimensional Non-Guillotine Cutting Tree Search Procedure," Operations Research, INFORMS, vol. 33(1), pages 49-64, February.
    5. Fayard, Didier & Zissimopoulos, Vassilis, 1995. "An approximation algorithm for solving unconstrained two-dimensional knapsack problems," European Journal of Operational Research, Elsevier, vol. 84(3), pages 618-632, August.
    6. P. C. Gilmore & R. E. Gomory, 1965. "Multistage Cutting Stock Problems of Two and More Dimensions," Operations Research, INFORMS, vol. 13(1), pages 94-120, February.
    7. Morabito, R. N. & Arenales, M. N. & Arcaro, V. F., 1992. "An and--or-graph approach for two-dimensional cutting problems," European Journal of Operational Research, Elsevier, vol. 58(2), pages 263-271, April.
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    Citations

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    Cited by:

    1. M. Hifi & R. M’Hallah & T. Saadi, 2009. "Approximate and exact algorithms for the double-constrained two-dimensional guillotine cutting stock problem," Computational Optimization and Applications, Springer, vol. 42(2), pages 303-326, March.
    2. Mhand Hifi, 2004. "Dynamic Programming and Hill-Climbing Techniques for Constrained Two-Dimensional Cutting Stock Problems," Journal of Combinatorial Optimization, Springer, vol. 8(1), pages 65-84, March.
    3. Mhand Hifi & Catherine Roucairol, 2001. "Approximate and Exact Algorithms for Constrained (Un) Weighted Two-dimensional Two-staged Cutting Stock Problems," Journal of Combinatorial Optimization, Springer, vol. 5(4), pages 465-494, December.
    4. Russo, Mauro & Sforza, Antonio & Sterle, Claudio, 2013. "An improvement of the knapsack function based algorithm of Gilmore and Gomory for the unconstrained two-dimensional guillotine cutting problem," International Journal of Production Economics, Elsevier, vol. 145(2), pages 451-462.
    5. Wei, Lijun & Hu, Qian & Lim, Andrew & Liu, Qiang, 2018. "A best-fit branch-and-bound heuristic for the unconstrained two-dimensional non-guillotine cutting problem," European Journal of Operational Research, Elsevier, vol. 270(2), pages 448-474.
    6. Mhand Hifi & Slim Sadfi, 2002. "The Knapsack Sharing Problem: An Exact Algorithm," Journal of Combinatorial Optimization, Springer, vol. 6(1), pages 35-54, March.
    7. Wang, Yu & Tang, Jiafu & Fung, Richard Y.K., 2014. "A column-generation-based heuristic algorithm for solving operating theater planning problem under stochastic demand and surgery cancellation risk," International Journal of Production Economics, Elsevier, vol. 158(C), pages 28-36.
    8. Fei, H. & Chu, C. & Meskens, N. & Artiba, A., 2008. "Solving surgical cases assignment problem by a branch-and-price approach," International Journal of Production Economics, Elsevier, vol. 112(1), pages 96-108, March.

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