On a model for the storage of files on a hardware I : Statistics at a fixed time and asymptotics
Probability
2008-01-24 v3
Abstract
We consider a generalized 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. We specify the distribution of the space of unoccupied locations at a fixed time and give its asymptotics when the hardware is becoming full.
Keywords
Cite
@article{arxiv.math/0611432,
title = {On a model for the storage of files on a hardware I : Statistics at a fixed time and asymptotics},
author = {Vincent Bansaye},
journal= {arXiv preprint arXiv:math/0611432},
year = {2008}
}
Comments
25 pages