{
  "id": "1212.4648",
  "version": "v1",
  "published": "2012-12-19T13:09:17.000Z",
  "updated": "2012-12-19T13:09:17.000Z",
  "title": "Algebraic modelling and performance evaluation of acyclic fork-join queueing networks",
  "authors": [
    "Nikolai K. Krivulin"
  ],
  "comment": "19 pages, 2 figures, 3 tables",
  "journal": "Advances in Stochastic Simulation Methods, 2000, pp. 63-81",
  "doi": "10.1007/978-1-4612-1318-5_5",
  "categories": [
    "math.OC",
    "cs.SY"
  ],
  "abstract": "Simple lower and upper bounds on mean cycle time in stochastic acyclic fork-join queueing networks are derived using a (max,+)-algebra based representation of network dynamics. The behaviour of the bounds under various assumptions concerning the service times in the networks is discussed, and related numerical examples are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-19T13:09:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90B15",
      "15A80",
      "90B22",
      "93C65",
      "68M20"
    ],
    "keywords": [
      "performance evaluation",
      "algebraic modelling",
      "stochastic acyclic fork-join queueing networks",
      "mean cycle time",
      "upper bounds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.4648K"
    }
  }
}