The irregular cutting-stock problem – a new procedure for deriving the no-fit polygon

The irregular cutting-stock problem – a new procedure for deriving the no-fit polygon

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Article ID: iaor20013380
Country: United Kingdom
Volume: 28
Issue: 3
Start Page Number: 271
End Page Number: 287
Publication Date: Mar 2001
Journal: Computers and Operations Research
Authors: , ,
Keywords: geometry
Abstract:

The nofit polygon is a powerful and effective tool for handling the geometry required for a range of solution approaches to two-dimensional irregular cutting-stock problems. However, unless all the pieces are convex, it is widely perceived as being difficult to implement, and its use has therefore been somewhat limited. The primary purpose of this paper is to correct this misconception by introducing a new method of calculating the nofit polygon. Although it is based on previous approaches which use the mathematical concept of Minkowski sums, this new method can be stated as a set of simple rules that can be implemented without an indepth understanding of the underlying mathematics. The result is an approach that is both very general and easy to use.

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