A01=Mathieu Dutour Sikiric
A01=Yoshiaki Itoh
Author_Mathieu Dutour Sikiric
Author_Yoshiaki Itoh
Category=PBV
Combinatorial Packing
Combinatorics
Cubes
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exhaustive Enumeration
Geometrical Probability
Laplace Transform
Parking Problem
Random Sequential Packing
Recursion
Stochastic Model
Torus
Product details
- ISBN 9789814307833
- Publication Date: 26 Jan 2011
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
