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On the minimum of gaps generated by one-dimensional random packing

Published online by Cambridge University Press:  14 July 2016

Yoshiaki Itoh
Yoshiaki Itoh*
Affiliation:
The Institute of Statistical Mathematics
*
∗Postal address: The Institute of Statistical Mathematics, 4–6–7 Minami-Azabu Minato-Ku, Tokyo, Japan.
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Abstract

Let L(t) be the random variable which represents the minimum of length of gaps generated by random packing of unit intervals into [0, t]. We have with Using this equation the asymptotic behaviour of P(L(x)≧h) is discussed.

Keywords

ONE-DIMENSIONAL RANDOM PACKINGMINIMUM OF GAPSDELAY NON-LINEAR INTEGRAL EQUATIONASYMPTOTIC BEHAVIOURNUMERICAL CALCULATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 1 , March 1980 , pp. 134 - 144
Copyright
Copyright © Applied Probability Trust 1980 

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References

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