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A sequential heuristic procedure for the two-dimensional cutting-stock problem

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  • Suliman, S.M.A.

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  • Suliman, S.M.A., 2006. "A sequential heuristic procedure for the two-dimensional cutting-stock problem," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 177-185, February.
  • Handle: RePEc:eee:proeco:v:99:y:2006:i:1-2:p:177-185
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    1. Cheng, C. H. & Feiring, B. R. & Cheng, T. C. E., 1994. "The cutting stock problem -- a survey," International Journal of Production Economics, Elsevier, vol. 36(3), pages 291-305, October.
    2. Susan G. Hahn, 1968. "On the Optimal Cutting of Defective Sheets," Operations Research, INFORMS, vol. 16(6), pages 1100-1114, December.
    3. Agrawal, P. K., 1993. "Minimising trim loss in cutting rectangular blanks of a single size from a rectangular sheet using orthogonal guillotine cuts," European Journal of Operational Research, Elsevier, vol. 64(3), pages 410-422, February.
    4. P. C. Gilmore & R. E. Gomory, 1966. "The Theory and Computation of Knapsack Functions," Operations Research, INFORMS, vol. 14(6), pages 1045-1074, December.
    5. P. C. Gilmore & R. E. Gomory, 1961. "A Linear Programming Approach to the Cutting-Stock Problem," Operations Research, INFORMS, vol. 9(6), pages 849-859, December.
    6. P. Y. Wang, 1983. "Two Algorithms for Constrained Two-Dimensional Cutting Stock Problems," Operations Research, INFORMS, vol. 31(3), pages 573-586, June.
    7. Farley, Alan A., 1990. "The cutting stock problem in the canvas industry," European Journal of Operational Research, Elsevier, vol. 44(2), pages 247-255, January.
    8. Suliman, Saad M. A., 2001. "Pattern generating procedure for the cutting stock problem," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 293-301, December.
    9. A. A. Farley, 1990. "A Note on Bounding a Class of Linear Programming Problems, Including Cutting Stock Problems," Operations Research, INFORMS, vol. 38(5), pages 922-923, October.
    10. 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.
    11. MacLeod, Bruce & Moll, Robert & Girkar, Mahesh & Hanifi, Nassim, 1993. "An algorithm for the 2D guillotine cutting stock problem," European Journal of Operational Research, Elsevier, vol. 68(3), pages 400-412, August.
    12. 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.
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    Cited by:

    1. Cui, Yaodong & Huang, Baixiong, 2012. "Reducing the number of cuts in generating three-staged cutting patterns," European Journal of Operational Research, Elsevier, vol. 218(2), pages 358-365.
    2. Cui, Yaodong & Zhao, Zhigang, 2013. "Heuristic for the rectangular two-dimensional single stock size cutting stock problem with two-staged patterns," European Journal of Operational Research, Elsevier, vol. 231(2), pages 288-298.
    3. 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.
    4. Erjavec, J. & Gradisar, M. & Trkman, P., 2012. "Assessment of stock size to minimize cutting stock production costs," International Journal of Production Economics, Elsevier, vol. 135(1), pages 170-176.
    5. Cui, Yaodong & Yang, Liu & Zhao, Zhigang & Tang, Tianbing & Yin, Mengxiao, 2013. "Sequential grouping heuristic for the two-dimensional cutting stock problem with pattern reduction," International Journal of Production Economics, Elsevier, vol. 144(2), pages 432-439.
    6. Douglas Nogueira Nascimento & Adriana Cristina Cherri & José Fernando Oliveira, 2022. "The two-dimensional cutting stock problem with usable leftovers: mathematical modelling and heuristic approaches," Operational Research, Springer, vol. 22(5), pages 5363-5403, November.

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