{
  "id": "0802.4434",
  "version": "v1",
  "published": "2008-02-29T17:25:44.000Z",
  "updated": "2008-02-29T17:25:44.000Z",
  "title": "Asymptotic analysis of a fluid model modulated by an $M/M/1$ queue",
  "authors": [
    "Charles Knessl",
    "Diego Dominici"
  ],
  "comment": "37 pages, 5 figures",
  "categories": [
    "math.PR",
    "math.CA"
  ],
  "abstract": "We analyze asymptotically a differential-difference equation, that arises in a Markov-modulated fluid model. We use singular perturbation methods to analyze the problem with appropriate scalings of the two state variables. In particular, the ray method and asymptotic matching are used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-29T17:25:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K25",
      "60J25",
      "34E10"
    ],
    "keywords": [
      "fluid model",
      "asymptotic analysis",
      "singular perturbation methods",
      "ray method",
      "differential-difference equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.4434K"
    }
  }
}