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

2009/03/13 by Rolf Harren, Harren, Rolf, Rob van Stee +1
Computer Science · #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #cs.CC #cs.DS

paper · pdf · doi:10.48550/arxiv.0903.2265

arxiv created 2009/03/13 · arxiv updated 2009/12/01

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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