{
  "id": "math/0611432",
  "version": "v3",
  "published": "2006-11-14T15:58:56.000Z",
  "updated": "2008-01-24T14:57:22.000Z",
  "title": "On a model for the storage of files on a hardware I : Statistics at a fixed time and asymptotics",
  "authors": [
    "Vincent Bansaye"
  ],
  "comment": "25 pages",
  "categories": [
    "math.PR"
  ],
  "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. We specify the distribution of the space of unoccupied locations at a fixed time and give its asymptotics when the hardware is becoming full.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-01-24T14:57:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05",
      "60G51",
      "68B15"
    ],
    "keywords": [
      "fixed time",
      "asymptotics",
      "statistics",
      "poisson point process",
      "real line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11432B"
    }
  }
}