Hardness of asymptotic approximation for orthogonal rectangle packing and covering problems
نویسندگان
چکیده
Recently Bansal and Sviridenko [4] proved that for 2-dimensional Orthogonal Rectangle Bin Packing without rotations allowed there is no asymptotic PTAS, unless P = NP. We show that similar approximation hardness results hold for several rectangle packing and covering 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.
منابع مشابه
Hardness of approximation for orthogonal rectangle packing and covering problems
Bansal and Sviridenko [4] proved that there is no asymptotic PTAS for 2-dimensional Orthogonal Bin Packing (without rotations), unless P = NP. We show that similar approximation hardness results hold for several 2and 3-dimensional rectangle packing and covering problems even if rotations by ninety degrees are allowed. Moreover, for some of these problems we provide explicit lower bounds on asym...
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ورودعنوان ژورنال:
- Electronic Colloquium on Computational Complexity (ECCC)
دوره شماره
صفحات -
تاریخ انتشار 2006