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

Vincent Bansaye

Journal of Probability and Statistics, 2009, vol. 2009, 1-24

Abstract:

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:586751

DOI: 10.1155/2009/586751

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