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The Two-Dimensional, Rectangular, Guillotineable-Layout Cutting Problem with a Single Defect

Author

Listed:
  • Vera Neidlein

    (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

  • Andrèa C. G. Vianna

    (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

  • Marcos N. Arenales

    (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

  • Gerhard Wäscher

    (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

Abstract

In this paper, a two-dimensional cutting problem is considered in which a single plate (large object) has to be cut down into a set of small items of maximal value. As opposed to standard cutting problems, the large object contains a defect, which must not be covered by a small item. The problem is represented by means of an AND/OR-graph, and a Branch & Bound procedure (including heuristic modifications for speeding up the search process) is introduced for its exact solution. The proposed method is evaluated in a series of numerical experiments that are run on problem instances taken from the literature, as well as on randomly generated instances.

Suggested Citation

  • Vera Neidlein & Andrèa C. G. Vianna & Marcos N. Arenales & Gerhard Wäscher, 2008. "The Two-Dimensional, Rectangular, Guillotineable-Layout Cutting Problem with a Single Defect," FEMM Working Papers 08035, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    • Handle: RePEc:mag:wpaper:08035
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    References listed on IDEAS

    as
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    7. 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.
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    Keywords

    Two-dimensional cutting; defect; AND/OR-graph; Branch & Bound;
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