1 Ocak 2022 Dergi makalesi Açık Erişim

Dogan, Ilgin; Lokman, Banu; Koksalan, Murat

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        "affiliation": "Univ Calif Berkeley, Dept Ind Engn & Operat Res, Berkeley, CA 94720 USA", 
        "name": "Dogan, Ilgin"
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      {
        "affiliation": "Univ Portsmouth, Portsmouth Business Sch, Ctr Operat Res & Logist, Portsmouth PO1 3DE, Hants, England", 
        "name": "Lokman, Banu"
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        "name": "Koksalan, Murat"
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    "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.", 
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      "issue": "3", 
      "pages": "804-818", 
      "title": "EUROPEAN JOURNAL OF OPERATIONAL RESEARCH", 
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    "title": "Representing the nondominated set in multi-objective mixed-integer programs"
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