{
  "id": "2305.05466",
  "version": "v1",
  "published": "2023-05-09T14:08:24.000Z",
  "updated": "2023-05-09T14:08:24.000Z",
  "title": "Continuous-Time Linear Optimization",
  "authors": [
    "Valeriano Antunes de Oliveira"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "In this work, optimality conditions and classical results from duality theory are derived for continuous-time linear optimization problems with inequality constraints. The optimality conditions are given in the Karush-Kuhn-Tucker form. Weak and strong duality properties, as well as, the complementary slackness theorem are established. A result concerning the existence of solutions is also stated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-09T14:08:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optimality conditions",
      "continuous-time linear optimization problems",
      "complementary slackness theorem",
      "strong duality properties",
      "duality theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}