Essec\Faculty\Model\Contribution {#6196`
#_index: "academ_contributions"
#_id: "12004"
#_source: array:26 [``
"id" => "12004"
"slug" => "the-connected-facility-location-polytope"
"yearMonth" => "2018-01"
"year" => "2018"
"title" => "The Connected Facility Location Polytope"
"description" => "LEITNER, M., LJUBIC, I., SALAZAR-GONZALEZ, J.J. et SINNL, M. (2018). The Connected Facility Location Polytope. <i>Discrete Applied Mathematics</i>, 234, pp. 151-167."
"authors" => array:4 [``
0 => array:3 [``
"name" => "LJUBIC Ivana"
"bid" => "B00683004"
"slug" => "ljubic-ivana"
`]
1 => array:1 [`
"name" => "LEITNER Markus"
`]
2 => array:1 [`
"name" => "SALAZAR-GONZALEZ Juan-José"
`]
3 => array:1 [`
"name" => "SINNL Markus"
`]
]
"ouvrage" => ""
"keywords" => array:4 [`
0 => "Valid inequalities"
1 => "Facets"
2 => "Facility location"
3 => "Steiner trees"
`]
"updatedAt" => "2022-06-17 11:40:41"
"publicationUrl" => "https://doi.org/10.1016/j.dam.2016.08.010"
"publicationInfo" => array:3 [`
"pages" => "151-167"
"volume" => "234"
"number" => ""
`]
"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 analyze the polytope associated with a combinatorial problem that combines the Steiner tree problem and the uncapacitated facility location problem. The problem, called connected facility location problem, is motivated by a real-world application in the design of a telecommunication network, and concerns with deciding the facilities to open, the assignment of customers to open facilities, and the connection of the open facilities through a Steiner tree. Several solution approaches are proposed in the literature, and the contribution of our work is a polyhedral analysis for the problem. We compute the dimension of the polytope, present valid inequalities, and analyze conditions for these inequalities to be facet defining. Some inequalities are taken from the Steiner tree polytope and the uncapacitated facility location polytope. Other inequalities are new."
"en" => "We analyze the polytope associated with a combinatorial problem that combines the Steiner tree problem and the uncapacitated facility location problem. The problem, called connected facility location problem, is motivated by a real-world application in the design of a telecommunication network, and concerns with deciding the facilities to open, the assignment of customers to open facilities, and the connection of the open facilities through a Steiner tree. Several solution approaches are proposed in the literature, and the contribution of our work is a polyhedral analysis for the problem. We compute the dimension of the polytope, present valid inequalities, and analyze conditions for these inequalities to be facet defining. Some inequalities are taken from the Steiner tree polytope and the uncapacitated facility location polytope. Other inequalities are new."
`]
"authors_fields" => array:2 [`
"fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
"en" => "Information Systems, Decision Sciences and Statistics"
`]
"indexedAt" => "2024-04-14T19:21:43.000Z"
"docTitle" => "The Connected Facility Location Polytope"
"docSurtitle" => "Articles"
"authorNames" => "<a href="/cv/ljubic-ivana">LJUBIC Ivana</a>, LEITNER Markus, SALAZAR-GONZALEZ Juan-José, SINNL Markus"
"docDescription" => "<span class="document-property-authors">LJUBIC Ivana, LEITNER Markus, SALAZAR-GONZALEZ Juan-José, SINNL Markus</span><br><span class="document-property-authors_fields">Systèmes d’Information, Sciences de la Décision et Statistiques</span> | <span class="document-property-year">2018</span>"
"keywordList" => "<a href="#">Valid inequalities</a>, <a href="#">Facets</a>, <a href="#">Facility location</a>, <a href="#">Steiner trees</a>"
"docPreview" => "<b>The Connected Facility Location Polytope</b><br><span>2018-01 | Articles </span>"
"docType" => "research"
"publicationLink" => "<a href="https://doi.org/10.1016/j.dam.2016.08.010" target="_blank">The Connected Facility Location Polytope</a>"
]
+lang: "fr"
+"_type": "_doc"
+"_score": 8.736875
+"parent": null
}