On a Model for the Storage of Files on a Hardware: Statistics at a Fixed Time and Asymptotic Regimes

We consider a version in continuous time of the parking problem of Knuth. Files arrive following a Poisson point process and are stored on a hardware identified with the real line, in the closest free portions at the right of the arrival location. We specify the distribution of the space of unoccupi...

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Bibliographic Details
Main Author: Vincent Bansaye
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2009/586751
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