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Exact solution techniques for two-dimensional cutting and packing

Manuel Iori, Vinícius L. de Lima, Silvano Martello, Flávio K. Miyazawa and Michele Monaci

European Journal of Operational Research, 2021, vol. 289, issue 2, 399-415

Abstract: We survey the main formulations and solution methods for two-dimensional orthogonal cutting and packing problems, where both items and bins are rectangles. We focus on exact methods and relaxations for the four main problems from the literature: finding a packing with minimum height, packing the items into the minimum number of bins, finding a packing of maximum value, and determining the existence of a feasible packing.

Keywords: Two-dimensional rectangle cutting and packing; Exact methods; Relaxations (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:289:y:2021:i:2:p:399-415

DOI: 10.1016/j.ejor.2020.06.050

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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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