{
  "id": "2011.04005",
  "version": "v1",
  "published": "2020-11-08T15:43:17.000Z",
  "updated": "2020-11-08T15:43:17.000Z",
  "title": "Distributional properties of fluid queues busy period and first passage times",
  "authors": [
    "Zbigniew Palmowski"
  ],
  "doi": "10.3390/math8111988",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we analyze the distributional properties of a busy period in an on-off fluid queue and the a first passage time in a fluid queue driven by a finite state Markov process. In particular, we show that in Anick-Mitra-Sondhi model the first passage time has a IFR distribution and the busy period has a DFR distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-08T15:43:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first passage time",
      "fluid queues busy period",
      "distributional properties",
      "finite state markov process",
      "on-off fluid queue"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}