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


Bennell, Julia A., Dowsland, Kathryn A. and Dowsland, William B. (2001) The irregular cutting-stock problem: a new procedure for deriving the no-fit polygon Computers and Operations Research, 28, (3), pp. 271-287. (doi:10.1016/S0305-0548(00)00021-6).

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Description/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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/S0305-0548(00)00021-6
ISSNs: 0305-0548 (print)
Keywords: irregular cutting stock problem, nesting, geometric algorithm
Subjects:

ePrint ID: 35687
Date :
Date Event
2001Published
Date Deposited: 22 May 2006
Last Modified: 16 Apr 2017 22:08
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/35687

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