Arc-Flow Model for the Two-Dimensional Cutting Stock Problem

نویسندگان

  • Rita Macedo
  • Cláudio Alves
  • J. M. Valério de Carvalho
چکیده

We describe an exact model for the two-dimensional Cutting Stock Problem with two stages and the guillotine constraint. It is a linear programming arc-flow model, formulated as a minimum flow problem, which is an extension of a model proposed by Valério de Carvalho for the one dimensional case. In this paper, we explore how this model behaves when it is solved with a commercial software, explicitly considering all its variables and constraints. We also derive a new family of cutting planes, and consider some extensions of the original problem. The model was tested on a set of real instances from the wood industry, with promising results.

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تاریخ انتشار 2009