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On the Areal Random Packing

https://doi.org/10.18255/1818-1015-2013-6-135-141

Abstract

We present a new class of random packing, called an “areal random packing”, in the plane. After performing computer simulations, we obtain the areal packing density through statistical analysis. One-dimensional version of areal random packing is also presented. Remarks about the connection to the random disk packing and to other processes are given. The article is published in the author’s wording.

About the Author

Masaharu Tanemura
The Institute of Statistical Mathematics
Japan

профессор, 10-3 Midori-cho, Tachikawa, Tokyo, 190-8562, Japan



References

1. Rényi A. On a one-dimensional problem concerning random space filling. Publ. Math. Inst. Hungar. Acad. Sci., 3: P. 109–127, 1958.

2. Tanemura M. On random complete packing by discs. Annals of the Institute of Statistical Mathematics, 31: P. 351–365, 1979.

3. Tanemura M. Statistical distributions of Poisson Voronoi cells in two and three dimensions. Forma, 18: P. 221–247, 2003.

4. Tanemura M. and Hasegawa M. Geometrical models of territory – I. Models for synchronous and asynchronous settlement of territories. Journal of Theoretical Biology, 82: P. 477–496, 1980.


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For citations:


Tanemura M. On the Areal Random Packing. Modeling and Analysis of Information Systems. 2013;20(6):135-141. https://doi.org/10.18255/1818-1015-2013-6-135-141

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ISSN 1818-1015 (Print)
ISSN 2313-5417 (Online)