{
  "id": "1807.02824",
  "version": "v1",
  "published": "2018-07-08T14:05:44.000Z",
  "updated": "2018-07-08T14:05:44.000Z",
  "title": "Exact tail asymptotics for fluid models driven by an $M/M/c$ queue",
  "authors": [
    "Wendi Li",
    "Yuanyuan Liu",
    "Yiqiang Q. Zhao"
  ],
  "comment": "25 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we investigate exact tail asymptotics for the stationary distribution of a fluid model driven by the $M/M/c$ queue, which is a two-dimensional queueing system with a discrete phase and a continuous level. We extend the kernel method to study tail asymptotics of its stationary distribution, and a total of three types of exact tail asymptotics is identified from our study and reported in the paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-08T14:05:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K25",
      "60J27",
      "30E15",
      "05A15"
    ],
    "keywords": [
      "exact tail asymptotics",
      "fluid models driven",
      "stationary distribution",
      "fluid model driven",
      "study tail asymptotics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}