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), 271-287. (doi:10.1016/S0305-0548(00)00021-6).


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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)
Related URLs:
Keywords: irregular cutting stock problem, nesting, geometric algorithm
Subjects: T Technology > TS Manufactures
H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management
Q Science > QA Mathematics > QA76 Computer software
Divisions : University Structure - Pre August 2011 > School of Management
ePrint ID: 35687
Accepted Date and Publication Date:
Date Deposited: 22 May 2006
Last Modified: 31 Mar 2016 12:03

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