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Solving One-Dimensional Cutting Stock Problems with Multiple Stock Material Lengths Using Cutting Plane Approach

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Operations Research Proceedings 2001

Part of the book series: Operations Research Proceedings 2001 ((ORP,volume 2001))

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Abstract

For exactly solving the one-dimensional cutting stock problem (CSP) with several stock material lengths, a cutting plane approach (CPA) is proposed. This work is a continuation of [12] where firstly column generation technique and CPA have been combined for the CSP with identical stock material pieces. In order to ensure efficient implementation of the generation problems in case of no and of additional cutting planes, some modifications of known methods have been performed. The efficiency of the algorithm is demonstrated by extensive numerical results.

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© 2002 Springer-Verlag Berlin Heidelberg

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Scheithauer, G., Belov, G. (2002). Solving One-Dimensional Cutting Stock Problems with Multiple Stock Material Lengths Using Cutting Plane Approach. In: Chamoni, P., Leisten, R., Martin, A., Minnemann, J., Stadtler, H. (eds) Operations Research Proceedings 2001. Operations Research Proceedings 2001, vol 2001. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50282-8_36

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  • DOI: https://doi.org/10.1007/978-3-642-50282-8_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43344-6

  • Online ISBN: 978-3-642-50282-8

  • eBook Packages: Springer Book Archive

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