Reducing the number of cuts in generating three-staged cutting patterns

Yaodong Cui and Baixiong Huang

European Journal of Operational Research, 2012, vol. 218, issue 2, 358-365

Abstract: Three-staged guillotine patterns are widely used in the manufacturing industry to cut stock plates into rectangular items. The cutting cost often increases with the number of cuts required. This paper focuses on the rectangular two-dimensional cutting stock problem, where three-staged guillotine patterns are used, and the objective is to minimize the sum of plate and cutting costs. The column generation framework is used to solve the problem. It uses a pattern-generation procedure to obtain the patterns. The cutting cost is considered in both the pattern-generation procedure and the objective of the linear programming formulation. The computational results indicate that the approach can reduce the number of cuts, without increasing the plate cost.

Keywords: Cutting; Packing; Two-dimensional cutting; Cuts reduction (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:218:y:2012:i:2:p:358-365

DOI: 10.1016/j.ejor.2011.10.047

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