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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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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/58287</identifier>
  <creators>
    <creator>
      <creatorName>Belotti, Pietro</creatorName>
      <givenName>Pietro</givenName>
      <familyName>Belotti</familyName>
      <affiliation>FICO, Xpress Optimizer Team, Birmingham B37 7GN, W Midlands, England</affiliation>
    </creator>
    <creator>
      <creatorName>Soylu, Banu</creatorName>
      <givenName>Banu</givenName>
      <familyName>Soylu</familyName>
      <affiliation>Erciyes Univ, Dept Ind Engn, TR-38039 Kayseri, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Wiecek, Margaret M.</creatorName>
      <givenName>Margaret M.</givenName>
      <familyName>Wiecek</familyName>
      <affiliation>Clemson Univ, Dept Math Sci, Clemson, SC 29630 USA</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Fathoming Rules For Biobjective Mixed Integer Linear Programs: Review And Extensions</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2016</publicationYear>
  <dates>
    <date dateType="Issued">2016-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/58287</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1016/j.disopt.2016.09.003</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">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.</description>
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