Abstract
Recently Bansal and Sviridenko [4] proved that there is no asymptotic PTAS for 2-dimensional Orthogonal Rectangle Bin Packing without rotations allowed, unless \(\text{\rm P}=\textrm{\rm NP}\). We show that similar approximation hardness results hold for several rectangle packing problems even if rotations by ninety degrees around the axes are allowed. Moreover, for some of these problems we provide explicit lower bounds on asymptotic approximation ratio of any polynomial time approximation algorithm.
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Chlebík, M., Chlebíková, J. (2006). Inapproximability Results for Orthogonal Rectangle Packing Problems with Rotations. In: Calamoneri, T., Finocchi, I., Italiano, G.F. (eds) Algorithms and Complexity. CIAC 2006. Lecture Notes in Computer Science, vol 3998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11758471_21
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DOI: https://doi.org/10.1007/11758471_21
Publisher Name: Springer, Berlin, Heidelberg
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