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

الملخص EN

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 unoccupied locations at a fixed time and give asymptotic regimes when the hardware is becoming full.