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Pattern-set generation algorithm for the one-dimensional cutting stock problem with setup cost

Yaodong Cui, Cheng Zhong and Yi Yao

European Journal of Operational Research, 2015, vol. 243, issue 2, 540-546

Abstract: The primary objective in the one-dimensional cutting stock problem is to minimize material cost. In real applications it is often necessary to consider auxiliary objectives, one of which is to reduce the number of different cutting patterns (setups). This paper first presents an integer linear programming model to minimize the sum of material and setup costs over a given pattern set, and then describes a sequential grouping procedure to generate the patterns in the set. Two sets of benchmark instances are used in the computational test. The results indicate that the approach is efficient in improving the solution quality.

Keywords: Cutting; Cutting stock; One-dimensional cutting; Pattern reduction; Setup cost (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:243:y:2015:i:2:p:540-546

DOI: 10.1016/j.ejor.2014.12.015

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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