{
  "abstract": "This study develops a novel solution method for stochastic user equilibrium (SUE) under the bounded choice model with local detour threshold (BCM-LDT SUE; Rasmussen et al., 2024), which restricts the choice set in line with observed route choice behavior. The model assigns zero probability to paths whose total cost exceeds a bound or whose local detour exceeds a threshold; thus, the path choice set varies with link costs. The proposed algorithm updates link flows while implicitly enumerating the path choice set via a depth-first search (DFS) pruned with the BCM-LDT bounds. This distinguishes it from the original algorithm, which updates path flows, and enables quasi-Newton-type acceleration. Since paths are never stored, the method can handle choice sets totaling on the order of $10^7$ paths. On a personal computer, it reached equilibrium in a few to about fifteen minutes, not only for the Anaheim network under the original settings but also for larger networks such as Winnipeg and Barcelona.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29151",
  "author_total": 1,
  "authors": [
    {
      "name": "Takeshi Nagae"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/79tdytvjv2011.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29151",
  "fulltext_url": null,
  "id": "79tdytvjv2011",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29151",
  "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",
      "math.OC"
    ],
    [
      "openalex",
      "3313|Transportation Planning and Optimization"
    ]
  ],
  "openalex": "W7223203380",
  "pdf_url": "https://arxiv.org/pdf/2610.29151",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/79tdytvjv2011.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.29151",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29151"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "A Link-Based Algorithm for Stochastic User Equilibrium with Bounded Choice and Local Detour Threshold",
  "title_text": "A Link-Based Algorithm for Stochastic User Equilibrium with Bounded Choice and Local Detour Threshold",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/79tdytvjv2011",
  "venue": "arXiv",
  "versions": []
}