{
  "abstract": "This paper studies a two-server split--merge queue with positively dependent subtask service times modeled through a latent-factor bivariate Erlang construction. An exact characterization of the split--merge completion time is obtained, including explicit formulas for its first two moments and the resulting mean waiting time. Under fixed marginal service-time distributions, independence is shown to stochastically increase the completion time and hence overestimate mean waiting time. Numerical illustrations show that this benchmark gap can be substantial.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21146",
  "author_total": 1,
  "authors": [
    {
      "name": "Dawit Zerom"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eea26cvtgrzaw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21146",
  "fulltext_url": null,
  "id": "eea26cvtgrzaw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21146",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "stat.OT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.21146",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eea26cvtgrzaw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:12Z",
      "native_id": "2609.21146",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21146"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.OT",
      "subfield": "statistics"
    }
  ],
  "title": "Exact analysis of a split--merge queue with latent Erlang-factor dependent subtask times",
  "title_text": "Exact analysis of a split--merge queue with latent Erlang-factor dependent subtask times",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:12Z",
  "url": "https://research.draconitic.com/paper/eea26cvtgrzaw",
  "venue": "arXiv",
  "versions": []
}