{
  "id": "2011.13582",
  "version": "v1",
  "published": "2020-11-27T06:59:16.000Z",
  "updated": "2020-11-27T06:59:16.000Z",
  "title": "Bounds on the rate on convergence for Markovian queueing models with catastrophes",
  "authors": [
    "Alexander Zeifman"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a general nonstationary Markovian queueing model under additional assumption of possibility of catastrophes of the system. As a rule this assumption is sufficient for ergodicity of the corresponding queue-length process.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-27T06:59:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "catastrophes",
      "convergence",
      "general nonstationary markovian queueing model",
      "additional assumption",
      "corresponding queue-length process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}