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

Vincent Bansaye | Zendy

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

Author(s) -

Vincent Bansaye

Publication year - 2009

Publication title -

journal of probability and statistics

Language(s) - English

Resource type - Journals

eISSN - 1687-9538

pISSN - 1687-952X

DOI - 10.1155/2009/586751

Subject(s) - poisson distribution , fixed point , mathematics , process (computing) , distribution (mathematics) , poisson process , statistics , computer science , operating system , mathematical analysis

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

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