{
  "abstract": "We investigate bi-objective mixed integer programming to which Benders decomposition can be applied, a widely used technique for exploiting problem structures in real-world applications. Our study focuses on a sustainable supply chain network design problem that aims to minimise both economic and environmental objectives. To address the bi-objective nature, we employ the weighted sum method, which requires solving similar problems repeatedly with different weight values. To tackle this, we propose a straightforward acceleration technique that reuses Benders cuts generated in previous iterations of the weighted sum method. This approach enables the Benders decomposition master problem to be initialised with pre-generated cuts. Our computational experiments demonstrate that reusing these cuts significantly reduces computing time.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04070",
  "author_total": 3,
  "authors": [
    {
      "name": "Duleabom An"
    },
    {
      "name": "Chungmok Lee"
    },
    {
      "name": "Sophie N. Parragh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6hps5dkhm95y6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04070",
  "fulltext_url": null,
  "id": "6hps5dkhm95y6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04070",
  "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",
      "2207|Optimization and Mathematical Programming"
    ]
  ],
  "openalex": "W7220683510",
  "pdf_url": "https://arxiv.org/pdf/2610.04070",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6hps5dkhm95y6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04070",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04070"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Accelerated Benders decomposition for bi-objective mixed integer programming",
  "title_text": "Accelerated Benders decomposition for bi-objective mixed integer programming",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/6hps5dkhm95y6",
  "venue": "arXiv",
  "versions": []
}