Integer linear programming models for the skiving stock problem

J. Martinovic and G. Scheithauer

European Journal of Operational Research, 2016, vol. 251, issue 2, 356-368

Abstract: We consider the one-dimensional skiving stock problem which is strongly related to the dual bin packing problem: find the maximum number of items with minimum length L that can be constructed by connecting a given supply of m∈N smaller item lengths l1,…,lm with availabilities b1,…,bm. For this optimization problem, we present three new models (the arcflow model, the onestick model, and a model of Kantorovich-type) and investigate their relationships, especially regarding their respective continuous relaxations. To this end, numerical computations are provided. As a main result, we prove the equivalence between the arcflow model, the onestick approach and the existing pattern-oriented standard model. In particular, this equivalence is shown to hold for the corresponding continuous relaxations, too.

Keywords: Packing; Skiving stock problem; Dual bin packing; Modeling; Continuous relaxation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:251:y:2016:i:2:p:356-368

DOI: 10.1016/j.ejor.2015.11.005

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