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Polynomial algorithms for guillotine cutting of a rectangle into small rectangles of two kinds

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  • Arslanov, M.Z.
  • Ashigaliev, D.U.
  • Ismail, E.E.

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  • Arslanov, M.Z. & Ashigaliev, D.U. & Ismail, E.E., 2008. "Polynomial algorithms for guillotine cutting of a rectangle into small rectangles of two kinds," European Journal of Operational Research, Elsevier, vol. 185(1), pages 105-121, February.
    • Handle: RePEc:eee:ejores:v:185:y:2008:i:1:p:105-121
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    References listed on IDEAS

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    1. 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.
    2. Dyckhoff, Harald, 1990. "A typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 145-159, January.
    3. Eberhard Girlich & Alexander G. Tarnowski, 1999. "On polynomial solvability of two multiprocessor scheduling problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 50(1), pages 27-51, August.
    4. H. W. Lenstra, 1983. "Integer Programming with a Fixed Number of Variables," Mathematics of Operations Research, INFORMS, vol. 8(4), pages 538-548, November.
    5. Arslanov, M. Z., 2000. "Continued fractions in optimal cutting of a rectangular sheet into equal small rectangles," European Journal of Operational Research, Elsevier, vol. 125(2), pages 239-248, September.
    6. 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.
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