On a model for the storage of files on a hardware I : Statistics at a fixed time and asymptotics

Details On a model for the storage of files on a hardware I : Statistics at a fixed time and asymptotics On a model for the storage of files on a hardware I : Statistics at a fixed time and asymptotics

2006-11-14

arxiv.org/abs/math/0611432v3

Mathematics

Probability

25 pages

Scientific paper

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.

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