Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/15777
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Complete and robust no-fit polygon generation for the irregular stock cutting problem
Authors: Burke, Edmund
Hellier, Robert S R
Kendall, Graham
Whitwell, Glenn
Contact Email: e.k.burke@stir.ac.uk
Keywords: Cutting
Packing
No-fit polygon
Orbital approach
Issue Date: May-2007
Publisher: Elsevier
Citation: Burke E, Hellier RSR, Kendall G & Whitwell G (2007) Complete and robust no-fit polygon generation for the irregular stock cutting problem, European Journal of Operational Research, 179 (1), pp. 27-49.
Abstract: The no-fit polygon is a construct that can be used between pairs of shapes for fast and efficient handling of geometry within irregular two-dimensional stock cutting problems. Previously, the no-fit polygon (NFP) has not been widely applied because of the perception that it is difficult to implement and because of the lack of generic approaches that can cope with all problem cases without specific case-by-case handling. This paper introduces a robust orbital method for the creation of no-fit polygons which does not suffer from the typical problem cases found in the other approaches from the literature. Furthermore, the algorithm only involves two simple geometric stages so it is easily understood and implemented. We demonstrate how the approach handles known degenerate cases such as holes, interlocking concavities and jigsaw type pieces and we give generation times for 32 irregular packing benchmark problems from the literature, including real world datasets, to allow further comparison with existing and future approaches.
Type: Journal Article
URI: http://hdl.handle.net/1893/15777
DOI Link: http://dx.doi.org/10.1016/j.ejor.2006.03.011
Rights: The publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study.
Affiliation: Deputy Principal's Office
University of Nottingham
University of Nottingham
University of Nottingham

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