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Random Sequential Packing of Cubes (CROSBI ID 7886)

Autorska knjiga | monografija (znanstvena)

Dutour Sikirić, Mathieu ; Itoh, Yoshiaki Random Sequential Packing of Cubes. Singapur: World Scientific Publishing, 2010. doi: 10.1142/7777

Podaci o odgovornosti

Dutour Sikirić, Mathieu ; Itoh, Yoshiaki

engleski

Random Sequential Packing of Cubes

In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings.

Enumeration; stochastic models; random packing

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Podaci o izdanju

Singapur: World Scientific Publishing

2010.

978-981-4307-83-3

256

objavljeno

10.1142/7777

Povezanost rada

Matematika

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