The guiltineq.lng Model

Rectangular 2D cutting stock with guillotine cuts

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Given:
Raw material master rectangle of dimensions x1 by y1,
and finished good (f.g.) rectangles i, of dimensions dx(i) by dy(i),
Find a sequence of guillotine cuts x(j) and y(j), so as to
maximize the value of the f.g. rectangles cut from the master.
Cutting process is viewed as a binary tree, with
node i having the two children: 2*i and 1+2*i.
Each cut splits a rectangle into two smaller
rectangles. Material may be isotropic, (rotate = 1)such as glass,
so finished good may be rotated 90 degrees, or
non-isotropic (rotate = 0) such as a heavily grained wood.

Keywords:

Cutting Stock | Guillotine Cut, Two-dimensional Cutting Stock |