{
  "id": "0807.4621",
  "version": "v3",
  "published": "2008-07-29T16:05:55.000Z",
  "updated": "2014-05-31T14:20:40.000Z",
  "title": "On the $M_t/M_t/K_t+M_t$ queue in heavy traffic",
  "authors": [
    "Anatolii A. Puhalskii"
  ],
  "comment": "The final publication is available at link.springer.com",
  "categories": [
    "math.PR"
  ],
  "abstract": "The focus of this paper is on the asymptotics of large-time numbers of customers in time-periodic Markovian many-server queues with customer abandonment in heavy traffic. Limit theorems are obtained for the periodic number-of-customers processes under the fluid and diffusion scalings. Other results concern limits for general time-dependent queues and for time-homogeneous queues in steady state.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-05-31T14:20:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heavy traffic",
      "time-periodic markovian many-server queues",
      "general time-dependent queues",
      "periodic number-of-customers processes",
      "results concern limits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.4621P"
    }
  }
}