Resource augmentation in two-dimensional packing with orthogonal rotations |
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Authors: | José R Correa |
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Institution: | School of Business, Universidad Adolfo Ibáñez, Av. Presidente Errázuriz 3485, Las Condes, Santiago, Chile |
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Abstract: | We consider the problem of packing two-dimensional rectangles into the minimum number of unit squares, when 90° rotations are allowed. Our main contribution is a polynomial-time algorithm for packing rectangles into at most OPT bins whose sides have length (1+ε), for any positive ε. Additionally, we show near-optimal packing results for a number of related packing problems. |
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Keywords: | Bin packing Approximation algorithms Polynomial time approximation schemes |
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