On a model for the storage of files on a hardware II : Evolution of a typical data block.
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, at the right of their arrival point. We study here the evolution of the extremities of the data block straddling $0$, which is empty at time $0$ and is equal to $\RRR$ at a deterministic time.
Domains
Probability [math.PR]
Origin : Files produced by the author(s)
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