{
  "id": "1909.10263",
  "version": "v1",
  "published": "2019-09-23T10:17:23.000Z",
  "updated": "2019-09-23T10:17:23.000Z",
  "title": "Exact asymptotics in an infinite-server system with overdispersed input",
  "authors": [
    "Mariska Heemskerk",
    "Michel Mandjes"
  ],
  "comment": "Short communication",
  "doi": "10.1016/j.orl.2019.09.003",
  "categories": [
    "math.PR"
  ],
  "abstract": "This short communication considers an infinite-server system with overdispersed input. The objective is to identify the exact tail asymptotics of the number of customers present at a given point in time under a specific scaling of the model (which involves both the arrival rate and time). The proofs rely on a change-of-measure approach. The results obtained are illustrated by a series of examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-23T10:17:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K25",
      "60F10",
      "90B15"
    ],
    "keywords": [
      "infinite-server system",
      "overdispersed input",
      "exact asymptotics",
      "exact tail asymptotics",
      "change-of-measure approach"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}