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| HAL : hal-00738614, version 1 |
| DOI : 10.1007/978-3-642-12450-1_4 |
| Fiche détaillée |  Récupérer au format |
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| 7th Workshop on Approximation and Online Algorithms (WAOA), Copenhague : Denmark (2009) |
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| Approximation Algorithm for Multiple Strip Packing |
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| Marin Bougeret 1Pierre-Francois Dutot 2, 3 |
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| (2009) |
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| In this paper we study the Multiple Strip Packing (MSP) problem, a generalization of the well-known Strip Packing problem. For a given set of rectangles, $r_1,\ldots,r_n$, with heights and widths $\le 1$, the goal is to find a non-overlapping orthogonal packing without rotations into $k\in\mathbb{N}$ strips $[0,1]\times[0,\infty)$, minimizing the maximum of the heights. We present an approximation algorithm with absolute ratio $2$, which is the best possible, unless ${\cal P}={\cal NP}$, and an improvement of the previous best result with ratio $2+\EPS$. Furthermore we present simple shelf-based algorithms with short running-time and an AFPTAS for MSP. Since MSP is strongly ${\cal NP}$-hard, an FPTAS is ruled out and an AFPTAS is also the best possible result in the sense of approximation theory. |
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| 1 : | Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier (LIRMM) |
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CNRS : UMR5506 – Université Montpellier II - Sciences et techniques |
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| 2 : | MOAIS (INRIA Grenoble Rhône-Alpes / LIG Laboratoire d'Informatique de Grenoble) |
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INRIA – Université Joseph Fourier - Grenoble I – Institut polytechnique de Grenoble (Grenoble INP) – Université Pierre-Mendès-France - Grenoble II – CNRS : UMR5217 |
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| 3 : | Université Pierre Mendès France (Grenoble 2 UPMF) |
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Université Pierre-Mendès-France - Grenoble II |
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| 4 : | Department of Computer Science |
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CAU Kiel |
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| 5 : | Institut Universitaire de France (IUF) |
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Ministère de l'Enseignement Supérieur et de la Recherche Scientifique |
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| INFO/MAORE Theory of Parallelism |
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| Domaine | : | Informatique/Algorithme et structure de données |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00738614, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00738614 | |
| oai:hal.archives-ouvertes.fr:hal-00738614 | |
| Contributeur : Marin Bougeret | |
| Soumis le : Jeudi 4 Octobre 2012, 16:27:37 | |
| Dernière modification le : Mercredi 3 Avril 2013, 11:37:23 | |
