Essec\Faculty\Model\Contribution {#6196`
#_index: "academ_contributions"
#_id: "12169"
#_source: array:26 [``
"id" => "12169"
"slug" => "directed-weighted-improper-coloring-for-cellular-channel-allocation"
"yearMonth" => "2015-02"
"year" => "2015"
"title" => "Directed weighted improper coloring for cellular channel allocation"
"description" => "ARCHETTI, C., BIANCHESSI, N., HERTZ, A., COLOMBET, A. et GAGNON, F. (2015). Directed weighted improper coloring for cellular channel allocation. <i>Discrete Applied Mathematics</i>, 182, pp. 46-60."
"authors" => array:5 [``
0 => array:3 [``
"name" => "ARCHETTI Claudia"
"bid" => "B00773540"
"slug" => "archetti-claudia"
`]
1 => array:1 [`
"name" => "BIANCHESSI Nicola"
`]
2 => array:1 [`
"name" => "HERTZ Alain"
`]
3 => array:1 [`
"name" => "COLOMBET Adrien"
`]
4 => array:1 [`
"name" => "GAGNON François"
`]
]
"ouvrage" => ""
"keywords" => array:5 [`
0 => "Graph coloring"
1 => "Weighted directed graphs"
2 => "Channel assignment"
3 => "Set partitioning formulations"
4 => "Branch-and-price algorithm"
`]
"updatedAt" => "2021-07-13 14:32:01"
"publicationUrl" => "https://doi.org/10.1016/j.dam.2013.11.018"
"publicationInfo" => array:3 [`
"pages" => "46-60"
"volume" => "182"
"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" => "Given a directed graph with weights on the vertices and on the arcs, a -improper -coloring is an assignment of at most different colors to the vertices of such that the weight of every vertex is greater, by a given factor , than the sum of the weights on the arcs entering with the tail of the same color as . For a given real number , we consider the problem of determining the minimum integer such that has a -improper -coloring. Also, for a given integer , we consider the problem of determining the minimum real number such that has a -improper -coloring. We show that these two problems can be used to model channel allocation problems in wireless communication networks, when it is required that the power of the signal received at a base station is greater, by a given factor, than the sum of interfering powers received from mobiles which are assigned the same channel. We propose set partitioning formulations for both problems and describe branch-and-price algorithms to solve them. Computational experiments are reported for instances having a similar structure as real channel allocation problems."
"en" => "Given a directed graph with weights on the vertices and on the arcs, a -improper -coloring is an assignment of at most different colors to the vertices of such that the weight of every vertex is greater, by a given factor , than the sum of the weights on the arcs entering with the tail of the same color as . For a given real number , we consider the problem of determining the minimum integer such that has a -improper -coloring. Also, for a given integer , we consider the problem of determining the minimum real number such that has a -improper -coloring. We show that these two problems can be used to model channel allocation problems in wireless communication networks, when it is required that the power of the signal received at a base station is greater, by a given factor, than the sum of interfering powers received from mobiles which are assigned the same channel. We propose set partitioning formulations for both problems and describe branch-and-price algorithms to solve them. Computational experiments are reported for instances having a similar structure as real channel allocation problems."
`]
"authors_fields" => array:2 [`
"fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
"en" => "Information Systems, Decision Sciences and Statistics"
`]
"indexedAt" => "2024-02-21T19:21:46.000Z"
"docTitle" => "Directed weighted improper coloring for cellular channel allocation"
"docSurtitle" => "Articles"
"authorNames" => "<a href="/cv/archetti-claudia">ARCHETTI Claudia</a>, BIANCHESSI Nicola, HERTZ Alain, COLOMBET Adrien, GAGNON François"
"docDescription" => "<span class="document-property-authors">ARCHETTI Claudia, BIANCHESSI Nicola, HERTZ Alain, COLOMBET Adrien, GAGNON François</span><br><span class="document-property-authors_fields">Systèmes d’Information, Sciences de la Décision et Statistiques</span> | <span class="document-property-year">2015</span>"
"keywordList" => "<a href="#">Graph coloring</a>, <a href="#">Weighted directed graphs</a>, <a href="#">Channel assignment</a>, <a href="#">Set partitioning formulations</a>, <a href="#">Branch-and-price algorithm</a>"
"docPreview" => "<b>Directed weighted improper coloring for cellular channel allocation</b><br><span>2015-02 | Articles </span>"
"docType" => "research"
"publicationLink" => "<a href="https://doi.org/10.1016/j.dam.2013.11.018" target="_blank">Directed weighted improper coloring for cellular channel allocation</a>"
]
+lang: "fr"
+"_type": "_doc"
+"_score": 9.015136
+"parent": null
}