{
  "id": "1501.05563",
  "version": "v1",
  "published": "2015-01-22T16:34:06.000Z",
  "updated": "2015-01-22T16:34:06.000Z",
  "title": "Analysis and optimization of vacation and polling models with retrials",
  "authors": [
    "Murtuza Ali Abidini",
    "Onno Boxma",
    "Jacques Resing"
  ],
  "comment": "Keywords: vacation queue, polling model, retrials Submitted for review to Performance evaluation journal, as an extended version of 'Vacation and polling models with retrials', by Onno Boxma and Jacques Resing",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a vacation-type queueing model, and a single-server multi-queue polling model, with the special feature of retrials. Just before the server arrives at a station there is some deterministic glue period. Customers (both new arrivals and retrials) arriving at the station during this glue period will be served during the visit of the server. Customers arriving in any other period leave immediately and will retry after an exponentially distributed time. Our main focus is on queue length analysis, both at embedded time points (beginnings of glue periods, visit periods and switch- or vacation periods) and at arbitrary time points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-22T16:34:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optimization",
      "arbitrary time points",
      "single-server multi-queue polling model",
      "queue length analysis",
      "deterministic glue period"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150105563A"
    }
  }
}