{
  "abstract": "We study equilibrium joining strategies in an M/M/1-type queueing system with strategic customers operating in a two-phase random environment described as a continuous-time Markov process. Strategic customers, upon arrival, choose whether to join or to balk based on available information and anticipated utility, considering the trade-off between reward from service and waiting cost. Four observation scenarios are analysed: fully observable (both queue length and environment phase are disclosed to a customer upon arrival), queue-only observable, environment-only observable, and fully unobservable. In each case, equilibrium joining strategies are analysed. In the environment-only observable and fully unobservable cases, explicit solutions and equilibrium conditions are derived under rapid oscillations and under very slow transitions between environment phases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32345",
  "author_total": 2,
  "authors": [
    {
      "name": "Konstantin Avrachenkov"
    },
    {
      "name": "Uri Yechiali"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1ace0dkt9n5nb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32345",
  "fulltext_url": null,
  "id": "1ace0dkt9n5nb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32345",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.GT"
    ],
    [
      "arxiv",
      "cs.NI"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "1404|Advanced Queuing Theory Analysis"
    ]
  ],
  "openalex": "W7214786835",
  "pdf_url": "https://arxiv.org/pdf/2609.32345",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1ace0dkt9n5nb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.32345",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32345"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Equilibrium Joining Strategies for Queues in Two-Phase Random Environment",
  "title_text": "Equilibrium Joining Strategies for Queues in Two-Phase Random Environment",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/1ace0dkt9n5nb",
  "venue": "arXiv",
  "versions": []
}