A cutting plane algorithm for the one-dimensional cutting stock problem with multiple stock lengths
Author
Suggested Citation
Download full text from publisher
As the access to this document is restricted, you may want to
for a different version of it.References listed on IDEAS
- P. C. Gilmore & R. E. Gomory, 1963. "A Linear Programming Approach to the Cutting Stock Problem---Part II," Operations Research, INFORMS, vol. 11(6), pages 863-888, December.
- G Scheithauer & J Terno & A Müller & G Belov, 2001. "Solving one-dimensional cutting stock problems exactly with a cutting plane algorithm," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(12), pages 1390-1401, December.
- Scheithauer, Guntram & Terno, Johannes, 1995. "The modified integer round-up property of the one-dimensional cutting stock problem," European Journal of Operational Research, Elsevier, vol. 84(3), pages 562-571, August.
- Nitsche, Christoph & Scheithauer, Guntram & Terno, Johannes, 1999. "Tighter relaxations for the cutting stock problem," European Journal of Operational Research, Elsevier, vol. 112(3), pages 654-663, February.
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.- Belov, G. & Scheithauer, G., 2006. "A branch-and-cut-and-price algorithm for one-dimensional stock cutting and two-dimensional two-stage cutting," European Journal of Operational Research, Elsevier, vol. 171(1), pages 85-106, May.
- Krzysztof C. Kiwiel, 2010. "An Inexact Bundle Approach to Cutting-Stock Problems," INFORMS Journal on Computing, INFORMS, vol. 22(1), pages 131-143, February.
- Delorme, Maxence & Iori, Manuel & Martello, Silvano, 2016. "Bin packing and cutting stock problems: Mathematical models and exact algorithms," European Journal of Operational Research, Elsevier, vol. 255(1), pages 1-20.
- B. S. C. Campello & C. T. L. S. Ghidini & A. O. C. Ayres & W. A. Oliveira, 2022. "A residual recombination heuristic for one-dimensional cutting stock problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 194-220, April.
- Lijun Wei & Zhixing Luo, & Roberto Baldacci & Andrew Lim, 2020. "A New Branch-and-Price-and-Cut Algorithm for One-Dimensional Bin-Packing Problems," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 428-443, April.
- Yaodong Cui & Xiang Song & Yan Chen & Yi-Ping Cui, 2017. "New model and heuristic solution approach for one-dimensional cutting stock problem with usable leftovers," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(3), pages 269-280, March.
- Holthaus, Oliver, 2002. "Decomposition approaches for solving the integer one-dimensional cutting stock problem with different types of standard lengths," European Journal of Operational Research, Elsevier, vol. 141(2), pages 295-312, September.
- Martinovic, J. & Scheithauer, G. & Valério de Carvalho, J.M., 2018. "A comparative study of the arcflow model and the one-cut model for one-dimensional cutting stock problems," European Journal of Operational Research, Elsevier, vol. 266(2), pages 458-471.
- Gleb Belov & Guntram Scheithauer, 2007. "Setup and Open-Stacks Minimization in One-Dimensional Stock Cutting," INFORMS Journal on Computing, INFORMS, vol. 19(1), pages 27-35, February.
- Cintra, G.F. & Miyazawa, F.K. & Wakabayashi, Y. & Xavier, E.C., 2007. "A note on the approximability of cutting stock problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1328-1332, December.
- Gonçalo R. L. Cerqueira & Sérgio S. Aguiar & Marlos Marques, 2021. "Modified Greedy Heuristic for the one-dimensional cutting stock problem," Journal of Combinatorial Optimization, Springer, vol. 42(3), pages 657-674, October.
- Vadim M. Kartak & Artem V. Ripatti, 2019. "Large proper gaps in bin packing and dual bin packing problems," Journal of Global Optimization, Springer, vol. 74(3), pages 467-476, July.
- Zeger Degraeve & Marc Peeters, 2003. "Optimal Integer Solutions to Industrial Cutting-Stock Problems: Part 2, Benchmark Results," INFORMS Journal on Computing, INFORMS, vol. 15(1), pages 58-81, February.
- Metrane, Abdelmoutalib & Soumis, François & Elhallaoui, Issmail, 2010. "Column generation decomposition with the degenerate constraints in the subproblem," European Journal of Operational Research, Elsevier, vol. 207(1), pages 37-44, November.
- François Clautiaux & Cláudio Alves & José Valério de Carvalho & Jürgen Rietz, 2011. "New Stabilization Procedures for the Cutting Stock Problem," INFORMS Journal on Computing, INFORMS, vol. 23(4), pages 530-545, November.
- de Lima, Vinícius L. & Alves, Cláudio & Clautiaux, François & Iori, Manuel & Valério de Carvalho, José M., 2022. "Arc flow formulations based on dynamic programming: Theoretical foundations and applications," European Journal of Operational Research, Elsevier, vol. 296(1), pages 3-21.
- Omid Shahvari & Rasaratnam Logendran & Madjid Tavana, 2022. "An efficient model-based branch-and-price algorithm for unrelated-parallel machine batching and scheduling problems," Journal of Scheduling, Springer, vol. 25(5), pages 589-621, 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.
- 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.
- W. D. D. Madhavee & N. Saldin & U. C. Vaidyarathna & C. J. Jayawardene, 2018. "A Practical Application of the Generalized Cutting Stock Algorithm," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 4(3), pages 15-21, 03-2018.
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:141:y:2002:i:2:p:274-294. 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.