On a Model for the Storage of Files on a Hardware: Statistics at a Fixed Time and Asymptotic Regimes
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 unoccupi...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2009/586751 |
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| _version_ | 1849402874194296832 |
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| author | Vincent Bansaye |
| author_facet | Vincent Bansaye |
| author_sort | Vincent Bansaye |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-941e99abe56845fbb8e265ee0487ae09 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-941e99abe56845fbb8e265ee0487ae092025-08-20T03:37:27ZengWileyJournal of Probability and Statistics1687-952X1687-95382009-01-01200910.1155/2009/586751586751On a Model for the Storage of Files on a Hardware: Statistics at a Fixed Time and Asymptotic RegimesVincent Bansaye0CMAP, Ecole Polytechnique, Route de Saclay, 91128 Palaiseau, FranceWe 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.http://dx.doi.org/10.1155/2009/586751 |
| spellingShingle | Vincent Bansaye On a Model for the Storage of Files on a Hardware: Statistics at a Fixed Time and Asymptotic Regimes Journal of Probability and Statistics |
| title | On a Model for the Storage of Files on a Hardware: Statistics at a Fixed Time and Asymptotic Regimes |
| title_full | On a Model for the Storage of Files on a Hardware: Statistics at a Fixed Time and Asymptotic Regimes |
| title_fullStr | On a Model for the Storage of Files on a Hardware: Statistics at a Fixed Time and Asymptotic Regimes |
| title_full_unstemmed | On a Model for the Storage of Files on a Hardware: Statistics at a Fixed Time and Asymptotic Regimes |
| title_short | On a Model for the Storage of Files on a Hardware: Statistics at a Fixed Time and Asymptotic Regimes |
| title_sort | on a model for the storage of files on a hardware statistics at a fixed time and asymptotic regimes |
| url | http://dx.doi.org/10.1155/2009/586751 |
| work_keys_str_mv | AT vincentbansaye onamodelforthestorageoffilesonahardwarestatisticsatafixedtimeandasymptoticregimes |