{
  "id": "1212.6085",
  "version": "v1",
  "published": "2012-12-25T21:12:35.000Z",
  "updated": "2012-12-25T21:12:35.000Z",
  "title": "Algebraic solutions to multidimensional minimax location problems with Chebyshev distance",
  "authors": [
    "Nikolai Krivulin"
  ],
  "comment": "International Conference on Applied and Computational Mathematics (ICACM'11), Lanzarote, Canary Islands, Spain, May 27-29, 2011, WSEAS Press. ISBN 978-1-61804-002-2",
  "journal": "Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM'11), 2011, pp. 157-162",
  "categories": [
    "math.OC",
    "cs.DM"
  ],
  "abstract": "Multidimensional minimax single facility location problems with Chebyshev distance are examined within the framework of idempotent algebra. A new algebraic solution based on an extremal property of the eigenvalues of irreducible matrices is given. The solution reduces both unconstrained and constrained location problems to evaluation of the eigenvalue and eigenvectors of an appropriate matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-25T21:12:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A80",
      "90B85",
      "65K05",
      "90C47",
      "15A18"
    ],
    "keywords": [
      "multidimensional minimax location problems",
      "chebyshev distance",
      "algebraic solution",
      "multidimensional minimax single facility location",
      "minimax single facility location problems"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6085K"
    }
  }
}