{
  "id": "math/0512281",
  "version": "v1",
  "published": "2005-12-13T17:19:23.000Z",
  "updated": "2005-12-13T17:19:23.000Z",
  "title": "Explicit formulas for the moments of the sojourn time in the M/G/1 processor sharing queue with permanent jobs",
  "authors": [
    "S. F. Yashkov"
  ],
  "comment": "10 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We give some representation about recent achievements in analysis of the M/G/1 queue with egalitarian processor sharing discipline (EPS). The new formmulas are derived for the j-th moments (j=1,2,...) of the (conditional) stationary sojourn time in the M/G/1--EPS queue with K (K=0,1,2,...) permanent jobs of infinite size. We discuss also how to simplify the computations of the moments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-13T17:19:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K25",
      "90B22"
    ],
    "keywords": [
      "processor sharing queue",
      "permanent jobs",
      "explicit formulas",
      "egalitarian processor sharing discipline",
      "stationary sojourn time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12281Y"
    }
  }
}