On a model for the storage of files on a hardware I : Statistics at a fixed time and asymptotics.
Résumé
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.
Domaines
Probabilités [math.PR]
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