{
  "id": "1212.6089",
  "version": "v1",
  "published": "2012-12-25T22:16:11.000Z",
  "updated": "2012-12-25T22:16:11.000Z",
  "title": "Algebraic solution to a constrained rectilinear minimax location problem on the plane",
  "authors": [
    "Nikolai Krivulin"
  ],
  "comment": "2011 International Conference on Multimedia Technology (ICMT), 26-28 July 2011, Hangzhou, China. ISBN 978-1-61284-771-9",
  "journal": "2011 International Conference on Multimedia Technology (ICMT), IEEE, 2011, pp. 6212-6220",
  "doi": "10.1109/ICMT.2011.6002526",
  "categories": [
    "math.OC",
    "cs.DM"
  ],
  "abstract": "We consider a constrained minimax single facility location problem on the plane with rectilinear distance. The feasible set of location points is restricted to rectangles with sides oriented at a 45 degrees angle to the axes of Cartesian coordinates. To solve the problem, an algebraic approach based on an extremal property of eigenvalues of irreducible matrices in idempotent algebra is applied. A new algebraic solution is given that reduces the problem to finding eigenvalues and eigenvectors of appropriately defined matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-25T22:16:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A80",
      "90B85",
      "65K05",
      "90C47",
      "15A18"
    ],
    "keywords": [
      "constrained rectilinear minimax location problem",
      "algebraic solution",
      "minimax single facility location problem"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6089K"
    }
  }
}