{
  "id": "0706.1192",
  "version": "v1",
  "published": "2007-06-08T15:22:59.000Z",
  "updated": "2007-06-08T15:22:59.000Z",
  "title": "A Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization",
  "authors": [
    "Agnieszka B. Malinowska",
    "Delfim F. M. Torres"
  ],
  "comment": "To be partially presented at the 23rd IFIP TC 7 International Conference on System Modelling and Optimization, Cracow, Poland, July 23-27, 2007. Work supported by KBN under Bialystok Technical University grant W/WI/17/07; and the R&D unit CEOC of the University of Aveiro through FCT and FEDER/POCI 2010",
  "journal": "J Optim Theory Appl (2008) 139: 577--590",
  "doi": "10.1007/s10957-008-9397-z",
  "categories": [
    "math.OC"
  ],
  "abstract": "The question of obtaining well-defined criteria for multiple criteria decision making problems is well-known. One of the approaches dealing with this question is the concept of nonessential objective function. A certain objective function is called nonessential if the set of efficient solutions is the same both with or without that objective function. In this paper we put together two methods for determining nonessential objective functions. A computational implementation is done using a computer algebra system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-08T15:22:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90B50",
      "90C29"
    ],
    "keywords": [
      "nonessential objective function",
      "linear multicriteria optimization",
      "computational approach",
      "multiple criteria decision making problems",
      "computer algebra system"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.1192M"
    }
  }
}