{
  "id": "0708.1718",
  "version": "v1",
  "published": "2007-08-13T14:33:59.000Z",
  "updated": "2007-08-13T14:33:59.000Z",
  "title": "Dynamics of Jackson networks: perturbation theory",
  "authors": [
    "Reuven Zeitak"
  ],
  "comment": "15 pages, 1 figure",
  "categories": [
    "math.PR"
  ],
  "abstract": "We introduce a new formalism for dealing with networks of queues. The formalism is based on the Doi-Peliti second quantization method for reaction diffusion systems. As a demonstration of the method's utility we compute perturbatively the different time busy-busy correlations between two servers in a Jackson network.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-13T14:33:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jackson network",
      "perturbation theory",
      "doi-peliti second quantization method",
      "time busy-busy correlations",
      "reaction diffusion systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.1718Z"
    }
  }
}