The geometry of nesting problems: A tutorial
Author
Abstract
Suggested Citation
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Y-G G & M-K Kang, 2002. "A new upper bound for unconstrained two-dimensional cutting and packing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(5), pages 587-591, May.
- Li, Zhenyu & Milenkovic, Victor, 1995. "Compaction and separation algorithms for non-convex polygons and their applications," European Journal of Operational Research, Elsevier, vol. 84(3), pages 539-561, August.
- P D Watson & A M Tobias, 1999. "An efficient algorithm for the regular W1 packing of polygons in the infinite plane," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(10), pages 1054-1062, October.
- Letchford, Adam N. & Amaral, Andre, 2001. "Analysis of upper bounds for the Pallet Loading Problem," European Journal of Operational Research, Elsevier, vol. 132(3), pages 582-593, August.
- Dyckhoff, Harald, 1990. "A typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 145-159, January.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Russo, Mauro & Sforza, Antonio & Sterle, Claudio, 2013. "An improvement of the knapsack function based algorithm of Gilmore and Gomory for the unconstrained two-dimensional guillotine cutting problem," International Journal of Production Economics, Elsevier, vol. 145(2), pages 451-462.
- Qiang Luo & Yunqing Rao, 2022. "Improved Sliding Algorithm for Generating No-Fit Polygon in the 2D Irregular Packing Problem," Mathematics, MDPI, vol. 10(16), pages 1-18, August.
- E G Birgin & J M Martínez & W F Mascarenhas & D P Ronconi, 2006. "Method of sentinels for packing items within arbitrary convex regions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 735-746, June.
- Lu, Yiping & Cha, Jianzhong, 2014. "A fast algorithm for identifying minimum size instances of the equivalence classes of the Pallet Loading Problem," European Journal of Operational Research, Elsevier, vol. 237(3), pages 794-801.
- Burke, E.K. & Hellier, R.S.R. & Kendall, G. & Whitwell, G., 2007. "Complete and robust no-fit polygon generation for the irregular stock cutting problem," European Journal of Operational Research, Elsevier, vol. 179(1), pages 27-49, May.
- Edmund K. Burke & Graham Kendall & Glenn Whitwell, 2009. "A Simulated Annealing Enhancement of the Best-Fit Heuristic for the Orthogonal Stock-Cutting Problem," INFORMS Journal on Computing, INFORMS, vol. 21(3), pages 505-516, August.
- Dickinson, John K. & Knopf, George K., 2000. "A moment based metric for 2-D and 3-D packing," European Journal of Operational Research, Elsevier, vol. 122(1), pages 133-144, April.
- Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.
- Lastra-Díaz, Juan J. & Ortuño, M. Teresa, 2024. "Mixed-integer programming models for irregular strip packing based on vertical slices and feasibility cuts," European Journal of Operational Research, Elsevier, vol. 313(1), pages 69-91.
- Stoyan, Yu G. & Patsuk, V. N., 2000. "A method of optimal lattice packing of congruent oriented polygons in the plane," European Journal of Operational Research, Elsevier, vol. 124(1), pages 204-216, July.
- Umetani, Shunji & Murakami, Shohei, 2022. "Coordinate descent heuristics for the irregular strip packing problem of rasterized shapes," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1009-1026.
- E. K. Burke & G. Kendall & G. Whitwell, 2004. "A New Placement Heuristic for the Orthogonal Stock-Cutting Problem," Operations Research, INFORMS, vol. 52(4), pages 655-671, August.
- Elkeran, Ahmed, 2013. "A new approach for sheet nesting problem using guided cuckoo search and pairwise clustering," European Journal of Operational Research, Elsevier, vol. 231(3), pages 757-769.
- Linda S. Moonen & Frits C. R. Spieksma, 2006. "Exact Algorithms for a Loading Problem with Bounded Clique Width," INFORMS Journal on Computing, INFORMS, vol. 18(4), pages 455-465, November.
- L Huyao & H Yuanjun & J A Bennell, 2007. "The irregular nesting problem: a new approach for nofit polygon calculation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1235-1245, September.
- Gahm, Christian & Uzunoglu, Aykut & Wahl, Stefan & Ganschinietz, Chantal & Tuma, Axel, 2022. "Applying machine learning for the anticipation of complex nesting solutions in hierarchical production planning," European Journal of Operational Research, Elsevier, vol. 296(3), pages 819-836.
- Letchford, Adam N. & Amaral, Andre, 2001. "Analysis of upper bounds for the Pallet Loading Problem," European Journal of Operational Research, Elsevier, vol. 132(3), pages 582-593, August.
- Parada Daza, Victor & Gomes de Alvarenga, Arlindo & de Diego, Jose, 1995. "Exact solutions for constrained two-dimensional cutting problems," European Journal of Operational Research, Elsevier, vol. 84(3), pages 633-644, August.
- Bayliss, Christopher & Currie, Christine S.M. & Bennell, Julia A. & Martinez-Sykora, Antonio, 2021. "Queue-constrained packing: A vehicle ferry case study," European Journal of Operational Research, Elsevier, vol. 289(2), pages 727-741.
- Melega, Gislaine Mara & de Araujo, Silvio Alexandre & Jans, Raf, 2018. "Classification and literature review of integrated lot-sizing and cutting stock problems," European Journal of Operational Research, Elsevier, vol. 271(1), pages 1-19.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:184:y:2008:i:2:p:397-415. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.