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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On solving three-dimensional open-dimension rectangular packing problems

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Author(s):
Junqueira, Leonardo ; Morabito, Reinaldo
Total Authors: 2
Document type: Journal article
Source: ENGINEERING OPTIMIZATION; v. 49, n. 5, p. 733-745, 2017.
Web of Science Citations: 5
Abstract

In this article, a recently proposed three-dimensional open-dimension rectangular packing problem is considered, in which the objective is to find a minimal volume rectangular container that packs a set of rectangular boxes. The literature has tackled small-sized instances of this problem by means of optimization solvers, position-free mixed-integer programming (MIP) formulations and piecewise linearization approaches. In this study, the problem is alternatively addressed by means of grid-based position MIP formulations, whereas still considering optimization solvers and the same piecewise linearization techniques. A comparison of the computational performance of both models is then presented, when tested with benchmark problem instances and with new instances, and it is shown that the grid-based position MIP formulation can be competitive, depending on the characteristics of the instances. The grid-based position MIP formulation is also embedded with real-world practical constraints, such as cargo stability, and results are additionally presented. (AU)

FAPESP's process: 14/16906-1 - Packing problems, routing problems, and their integrations
Grantee:Leonardo Junqueira
Support Opportunities: Regular Research Grants