A comparative study of the arcflow model and the one-cut model for one-dimensional cutting stock problems

J. Martinovic, G. Scheithauer and J.M. Valério de Carvalho

European Journal of Operational Research, 2018, vol. 266, issue 2, 458-471

Abstract: We consider the one-dimensional cutting stock problem which consists in determining the minimum number of given large stock rolls that has to be cut to satisfy the demands of certain smaller item lengths. Besides the standard pattern-based approach of Gilmore and Gomory, containing an exponential number of variables, several pseudo-polynomial formulations were proposed in the last decades. Much research has dealt with arcflow models, their relationship to the standard model, and possible reduction methods, whereas the one-cut approach has not attracted that much scientific interest yet.

Keywords: Cutting and packing; Cutting stock problem; Arcflow model; One-cut model (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:266:y:2018:i:2:p:458-471

DOI: 10.1016/j.ejor.2017.10.008

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