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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 3 | Issue 2 | Year 2012 | Article Id. IJMTT-V3I2P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V3I2P504

Pattern Generation for Two Dimensional Cutting Stock Problem


W. N. P Rodrigo, W. B Daundasekera , A. A. I Perera
Abstract

Selection of feasible cutting patterns in order to minimize the raw material wastage which is known as cutting stock problem has become a key factor of the success in today’s competitive manufacturing industries. In this paper, solving a two-dimensional cutting stock problem is discussed. Our study is restricted to raw material (main sheet) in a rectangular shape, and cutting items are also considered as rectangular shape with known dimensions. The Branch and Bound approach in solving integer programming problems is used to solve the problem.

Keywords
Two-Dimensional cutting stock problem, Cutting patterns, Branch and Bound algorithm
References

[1] Van-Dat Cung, Mhand Hifi, Bertrand Le Cun, “Constrained twodimensional cutting Stock problems, a best-first branch-and-bound algorithm”, International Transactions In Operational Research, 7 (2000). 
[2] Coromoto Leon, Gara Miranda, Casiano Rodriguez, & Carlos Segura, “2D Cutting Stock Problem: A New Parallel Algorithm and Bounds”, (www.springerlink.com/index/906t32v338q7u641.pdf), 25th November 2010.
[3] Saad M.A Suliman, “Pattern generating procedure for the cutting stock problem”, International Journal of Production Economics 74 (2001) 293-301.
[4] Hassan Javanshir, Shaghayegh Rezaei, Saeid Sheikhzadeh Najar and Gangi S.S, “Two Dimensional Cutting Stock Management in Fabric Industries and Optimizing the Large Object’s Length”, IJRRAS, August 2010.
[5] Chen Chen, Chua Kim Huat, “ Optimum Shipyard Steel Plate Cutting Plan Based On Genetic Algorithm”, EPPM, Singapore, 20-21 September.

Citation :

W. N. P Rodrigo, W. B Daundasekera , A. A. I Perera, "Pattern Generation for Two Dimensional Cutting Stock Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 3, no. 2, pp. 54-62, 2012. Crossref, https://doi.org/10.14445/22315373/IJMTT-V3I2P504

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