{
  "abstract": "An opened queuing network with a redundancy and a renewal of servers is considered. To calculate a stationary regime in this network directly it is necessary to consider sufficiently complicated and large system of linear algebraic equations. A special control of the network route matrix allows to use product theorems and so to simplify these calculations significantly. At first the network with a variable set of servers is analyzed. Then we suppose that an each server of the network may fail and be restored independently. At last we consider different variants of servers redundancy in the opened network. Considered network models are on a joint of queuing and reliability theories.",
  "abstract_shown": true,
  "affiliations": [
    "Institute of Applied Mathematics, Far Eastern Branch of RAS"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "G. Sh. Tsitsiashvili"
    },
    {
      "affs": [
        0
      ],
      "name": "M. A. Osipova"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d5tp0qwsmsdrh.bib",
  "cited_by": 0,
  "doi": "10.66721/z1kr4z31",
  "fulltext_url": "https://gnedenko.net/index.php/RTA/article/view/282",
  "id": "d5tp0qwsmsdrh",
  "issns": [
    "1932-2321"
  ],
  "landing_url": "https://doi.org/10.66721/z1kr4z31",
  "language": "en",
  "licence": "CC-BY-NC",
  "licence_label": "CC BY-NC",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-nc/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ],
    [
      "lcc",
      "T57-57.97"
    ],
    [
      "openalex",
      "2213|Reliability and Maintenance Optimization"
    ]
  ],
  "openalex": "W2954230129",
  "pdf_url": "https://gnedenko.net/index.php/RTA/article/view/282/184",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": "Gnedenko Forum",
  "ris": "https://research.draconitic.com/paper/d5tp0qwsmsdrh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:44:16Z",
      "native_id": "8dc7d4cff0f242928a12bef207f833f6",
      "source": "doaj",
      "url": "https://doi.org/10.66721/z1kr4z31"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "lcc:QA1-939",
      "subfield": "general"
    }
  ],
  "title": "Redundancy and Renewal of Servers in Opened Queuing Networks",
  "title_text": "Redundancy and Renewal of Servers in Opened Queuing Networks",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:44:16Z",
  "url": "https://research.draconitic.com/paper/d5tp0qwsmsdrh",
  "venue": "Reliability: Theory & Applications",
  "versions": []
}