A (5/3+ε)-Approximation for Strip Packing

被引：0

作者：

Harren, Rolf ^{[1
]}

Jansen, Klaus ^{[2
]}

Praedel, Lars ^{[2
]}

van Stee, Rob ^{[1
]}

机构：

[1] MPII, Campus El 4, D-66123 Saarbrucken, Germany

[2] Univ Kiel, Inst Informat, D-24118 Kiel, Germany

来源：

ALGORITHMS AND DATA STRUCTURES | 2011年 / 6844卷

关键词：

strip packing; rectangle packing; approximation algorithm; absolute worst-case ratio; TWO-DIMENSIONAL PACKING; PERFORMANCE BOUNDS; BIN PACKING; ALGORITHMS; RECTANGLE;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study strip packing, which is one of the most classical two-dimensional packing problems: Given a collection of rectangles, the problem is to find a feasible orthogonal packing without rotations into a strip of width 1 and minimum height. In this paper we present an approximation algorithm for the strip packing problem with approximation ratio of 5/3 + epsilon for any epsilon > 0. This result significantly narrows the gap between the best known upper bounds of 2 by Schiermeyer and Steinberg and 1.9396 by Harren and van Stee and the lower bound of 3/2.

引用

页码：475 / +

页数：3

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