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.
Exact solution techniques for two-dimensional cutting and packing / Iori, M.; de Lima, V. L.; Martello, S.; Miyazawa, F. K.; Monaci, M.. - In: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. - ISSN 0377-2217. - 289:2(2020), pp. 399-415. [10.1016/j.ejor.2020.06.050]
Exact solution techniques for two-dimensional cutting and packing
Iori M.Membro del Collaboration Group
;
2020
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.
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