{
  "abstract": "This paper introduces an analytical model for predicting static traffic assignment (STA) based on network characteristics and origin-destination (OD) demand. The model provides an explicit analytical solution to the STA problem, avoiding iterative procedures, relying on two key elements: (i) a projection of path flows onto auxiliary flows, and (ii) a linearization of the link performance function that relates travel time to link flow. The analytical model is validated against a Method-of-Successive-Averages (MSA) reference solution on a small synthetic network, the Sioux Falls benchmark, and the real-scale road network of Lyon, France (8,140 links, 4,128 nodes, up to 33,258 OD pairs) with a R 2 ≈ 0.99 on OD travel time prediction. Beyond its computational advantages, the framework supports a backcastingoriented approach, making it suitable for integration into broader planning models.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Baptiste Leroux"
    },
    {
      "name": "Antonio Sciarretta"
    },
    {
      "name": "Milos Balac"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2gqqcrzfa37tj.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "2gqqcrzfa37tj",
  "issns": [],
  "landing_url": "https://hal.science/hal-05742643v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "0.spi"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05742643/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2gqqcrzfa37tj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:31Z",
      "native_id": "hal-05742643",
      "source": "hal",
      "url": "https://hal.science/hal-05742643v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    },
    {
      "field": "physics",
      "origin": "hal:0.phys",
      "subfield": "general"
    }
  ],
  "title": "Linear Analytical Model for Static Traffic Assignment: Explicit Formulation of OD Travel Times and Link Flows",
  "title_text": "Linear Analytical Model for Static Traffic Assignment: Explicit Formulation of OD Travel Times and Link Flows",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:31Z",
  "url": "https://research.draconitic.com/paper/2gqqcrzfa37tj",
  "venue": "HAL",
  "versions": []
}