New Upper Bounds on The Approximability of 3D Strip Packing
Xin Han, Kazuo Iwama, Guochuan Zhang
Abstract
In this paper, we study the 3D strip packing problem in which we are given a list of 3-dimensional boxes and required to pack all of them into a 3-dimensional strip with length 1 and width 1 and unlimited height to minimize the height used. Our results are below: i) we give an approximation algorithm with asymptotic worst-case ratio 1.69103, which improves the previous best bound of 2+ε by Jansen and Solis-Oba of SODA 2006; ii) we also present an asymptotic PTAS for the case in which all items have square bases.
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