1 Ocak 2022 Dergi makalesi Açık Erişim

Dogan, Ilgin; Lokman, Banu; Koksalan, Murat

Dublin Core

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  <dc:creator>Dogan, Ilgin</dc:creator>
  <dc:creator>Lokman, Banu</dc:creator>
  <dc:creator>Koksalan, Murat</dc:creator>
  <dc:date>2022-01-01</dc:date>
  <dc:description>A B S T R A C T In this paper, we consider generating a representative subset of nondominated points at a prespecified precision in multi-objective mixed-integer programs (MOMIPs). The number of nondominated points grows exponentially with problem size and finding all nondominated points is typically hard in MOMIPs. Representing the nondominated set with a small subset of nondominated points is important for a decision maker to get an understanding of the layout of solutions. The shape and density of the nondominated points over the objective space may be critical in obtaining a set of solutions that represent the nondominated set well. We develop an exact algorithm that generates a representative set guaranteeing a prespecified precision. Our experiments on a variety of problems demonstrate that our algorithm outperforms existing approaches in terms of both the cardinality of the representative set and computation times. (c) 2021 Elsevier B.V. All rights reserved.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/236946</dc:identifier>
  <dc:identifier>oai:aperta.ulakbim.gov.tr:236946</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 296(3) 804-818</dc:source>
  <dc:title>Representing the nondominated set in multi-objective mixed-integer programs</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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