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Fathoming rules for biobjective mixed integer linear programs: Review and extensions

Belotti, Pietro; Soylu, Banu; Wiecek, Margaret M.


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  "@context": "https://schema.org/", 
  "@id": 58287, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "FICO, Xpress Optimizer Team, Birmingham B37 7GN, W Midlands, England", 
      "name": "Belotti, Pietro"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Erciyes Univ, Dept Ind Engn, TR-38039 Kayseri, Turkey", 
      "name": "Soylu, Banu"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Clemson Univ, Dept Math Sci, Clemson, SC 29630 USA", 
      "name": "Wiecek, Margaret M."
    }
  ], 
  "datePublished": "2016-01-01", 
  "description": "We consider the class of biobjective mixed integer linear programs (BOMILPs). We review fathoming rules for general BOMILPs and present them in a unified manner. We then propose new fathoming rules that rely on solving specially designed LPs, hence making no assumption on the type of problem and only using polynomial-time algorithms. We describe an enhancement for carrying out these rules by performing a limited number of pivot operations on an LP, and then we provide insight that helps to make these rules even more efficient by either focusing on a smaller number of feasible solutions or by resorting to heuristics that limit the number of LPs solved. (C) 2016 Elsevier B.V. All rights reserved.", 
  "headline": "Fathoming rules for biobjective mixed integer linear programs: Review and extensions", 
  "identifier": 58287, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Fathoming rules for biobjective mixed integer linear programs: Review and extensions", 
  "url": "https://aperta.ulakbim.gov.tr/record/58287"
}
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