著者

Kazuyuki Amano Shin-ichi Nakano Koichi Yamazaki

出版者

一般社団法人 情報処理学会

雑誌

Journal of Information Processing (ISSN:18826652)

巻号頁・発行日

vol.23, no.3, pp.252-257, 2015 (Released:2015-05-15)

参考文献数

5

被引用文献数

1

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The anti-slide packing is a packing of a number of three dimensional pieces of same size into a larger box such that none of them can slide in any direction. In this paper, we consider the problem of how to find a sparsest anti-slide packing. We give an IP formulation of this problem, and obtain the solutions for some small cases by using an IP solver. In addition, we give the upper and lower bounds on the ratio of the volume occupied by the pieces when the size of a box approaches infinity. For the case of piece size 2 × 2 × 1, we show that a sparsest anti-slide packing occupies at least 28.8% and at most 66.7% of the total volume.