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Journal Articles Journal of Mathematical Modelling and Algorithms Year : 2012

MPQ-trees for the orthogonal packing problem

Abstract

Given a set of rectangular items of different sizes and a rectangular container, the aim of the bi-dimensional Orthogonal Packing Problem (OPP-2 for short) is to decide whether there exists a non-overlapping packing of the items in this container. The rotation of items is not allowed. In this paper we present a new exact algorithm for solving OPP-2, based upon the characterization of solutions using interval graphs proposed by Fekete and Schepers. The algorithm uses MPQ-trees, which were introduced by Korte and Möhring to recognize interval graphs.
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Dates and versions

hal-00611528 , version 1 (30-07-2011)

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Cédric Joncour, Arnaud Pêcher, Petru Valicov. MPQ-trees for the orthogonal packing problem. Journal of Mathematical Modelling and Algorithms, 2012, 11 (1), pp.3-22. ⟨10.1007/s10852-011-9159-z⟩. ⟨hal-00611528⟩
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