Essec\Faculty\Model\Contribution {#2186
  #_index: "academ_contributions"
  #_id: "13274"
  #_source: array:26 [
    "id" => "13274"
    "slug" => "submodular-maximization-of-concave-utility-functions-composed-with-a-set-union-operator-with-applications-to-maximal-covering-location-problems"
    "yearMonth" => "2022-11"
    "year" => "2022"
    "title" => "Submodular maximization of concave utility functions composed with a set-union operator with applications to maximal covering location problems"
    "description" => "CONIGLIO, S., FURINI, F. et LJUBIC, I. (2022). Submodular maximization of concave utility functions composed with a set-union operator with applications to maximal covering location problems. <i>Mathematical Programming</i>, 196(1-2), pp. 9-56."
    "authors" => array:3 [
      0 => array:3 [
        "name" => "LJUBIC Ivana"
        "bid" => "B00683004"
        "slug" => "ljubic-ivana"
      ]
      1 => array:1 [
        "name" => "CONIGLIO Stefano"
      ]
      2 => array:1 [
        "name" => "FURINI Fabio"
      ]
    ]
    "ouvrage" => ""
    "keywords" => array:5 [
      0 => "Submodular maximization"
      1 => "Branch-and-Cut"
      2 => "Benders decomposition"
      3 => "Stochastic maximal covering location problems"
      4 => "Influence maximization"
    ]
    "updatedAt" => "2023-04-28 09:13:50"
    "publicationUrl" => "https://doi.org/10.1007/s10107-022-01884-7"
    "publicationInfo" => array:3 [
      "pages" => "9-56"
      "volume" => "196"
      "number" => "1-2"
    ]
    "type" => array:2 [
      "fr" => "Articles"
      "en" => "Journal articles"
    ]
    "support_type" => array:2 [
      "fr" => "Revue scientifique"
      "en" => "Scientific journal"
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => "We study a family of discrete optimization problems asking for the maximization of the expected value of a concave, strictly increasing, and differentiable function composed with a set-union operator. The expected value is computed with respect to a set of coefficients taking values from a discrete set of scenarios. The function models the utility function of the decision maker, while the set-union operator models a covering relationship between two ground sets, a set of items and a set of metaitems. This problem generalizes the problem introduced by Ahmed S, Atamtürk A (Mathematical programming 128(1-2):149–169, 2011), and it can be modeled as a mixed integer nonlinear program involving binary decision variables associated with the items and metaitems. Its goal is to find a subset of metaitems that maximizes the total utility corresponding to the items it covers."
      "en" => "We study a family of discrete optimization problems asking for the maximization of the expected value of a concave, strictly increasing, and differentiable function composed with a set-union operator. The expected value is computed with respect to a set of coefficients taking values from a discrete set of scenarios. The function models the utility function of the decision maker, while the set-union operator models a covering relationship between two ground sets, a set of items and a set of metaitems. This problem generalizes the problem introduced by Ahmed S, Atamtürk A (Mathematical programming 128(1-2):149–169, 2011), and it can be modeled as a mixed integer nonlinear program involving binary decision variables associated with the items and metaitems. Its goal is to find a subset of metaitems that maximizes the total utility corresponding to the items it covers."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
      "en" => "Information Systems, Decision Sciences and Statistics"
    ]
    "indexedAt" => "2024-04-23T08:22:04.000Z"
    "docTitle" => "Submodular maximization of concave utility functions composed with a set-union operator with applications to maximal covering location problems"
    "docSurtitle" => "Journal articles"
    "authorNames" => "<a href="/cv/ljubic-ivana">LJUBIC Ivana</a>, CONIGLIO Stefano, FURINI Fabio"
    "docDescription" => "<span class="document-property-authors">LJUBIC Ivana, CONIGLIO Stefano, FURINI Fabio</span><br><span class="document-property-authors_fields">Information Systems, Decision Sciences and Statistics</span> | <span class="document-property-year">2022</span>"
    "keywordList" => "<a href="#">Submodular maximization</a>, <a href="#">Branch-and-Cut</a>, <a href="#">Benders decomposition</a>, <a href="#">Stochastic maximal covering location problems</a>, <a href="#">Influence maximization</a>"
    "docPreview" => "<b>Submodular maximization of concave utility functions composed with a set-union operator with applications to maximal covering location problems</b><br><span>2022-11 | Journal articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://doi.org/10.1007/s10107-022-01884-7" target="_blank">Submodular maximization of concave utility functions composed with a set-union operator with applications to maximal covering location problems</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.936868
  +"parent": null
}