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arXiv · 0903.2265

An Absolute 2-Approximation Algorithm for Two-Dimensional Bin Packing

Rolf Harren·Rob van Stee
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Abstract

We consider the problem of packing rectangles into bins that are unit squares, where the goal is to minimize the number of bins used. All rectangles have to be packed non-overlapping and orthogonal, i.e., axis-parallel. We present an algorithm for this problem with an absolute worst-case ratio of 2, which is optimal provided P != NP.

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Rolf Harren, Rob van Stee. 2009-03-13. An Absolute 2-Approximation Algorithm for Two-Dimensional Bin Packing. https://arxiv.org/abs/0903.2265

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