On a Model for the Storage of Files on a Hardware. II. Evolution of a Typical Data Block
Keyword(s):
The Real
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We consider the generalized version in continuous time of the parking problem of Knuth introduced in Bansaye (2006). 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. Here we study the evolution of the endpoints of the data block straddling 0, which is empty at time 0 and is equal to R at a deterministic time.
2020 ◽
Vol 130
(2)
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pp. 708-732
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