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A Polynomial Time Approximation Scheme for the Square Packing Problem

8 years 3 months ago
A Polynomial Time Approximation Scheme for the Square Packing Problem
Given a set Q of squares with positive pro ts, the square packing problem is to select and pack a subset of squares of maximum pro t into a rectangular bin R. We present a polynomial time approximation scheme for this problem, that for any value > 0 nds and packs a subset Q 0 Q of pro t at least (1 ? )OP T , where OP T is the pro t of an optimum solution. This settles the approximability of the problem and improves on the previously best approximation ratio of 5=4 + achieved by Harren's algorithm.
Klaus Jansen, Roberto Solis-Oba
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2008
Where IPCO
Authors Klaus Jansen, Roberto Solis-Oba
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