Fabio H.N. Abe , Edna A. Hoshino , Alessandro Hill , Roberto Baldacci
{"title":"A Branch-and-Price Algorithm for the Ring-Tree Facility Location Problem","authors":"Fabio H.N. Abe , Edna A. Hoshino , Alessandro Hill , Roberto Baldacci","doi":"10.1016/j.entcs.2019.08.002","DOIUrl":null,"url":null,"abstract":"<div><p>The ring-tree facility location problem is a generalization of the capacitated ring-tree problem in which additional cost and capacity related to facilities are considered. Applications of this problem arise in the strategic design of bi-level telecommunication networks. We investigate an extended integer programming formulation for the problem and different approaches to deal with the NP-hardness of the pricing problem that appears in a branch-and-price algorithm to solve it. Computational experiments show how heuristics and relaxations improved the performance of a branch-and-price algorithm.</p></div>","PeriodicalId":38770,"journal":{"name":"Electronic Notes in Theoretical Computer Science","volume":"346 ","pages":"Pages 3-14"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.entcs.2019.08.002","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Theoretical Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571066119300520","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Computer Science","Score":null,"Total":0}
引用次数: 1
Abstract
The ring-tree facility location problem is a generalization of the capacitated ring-tree problem in which additional cost and capacity related to facilities are considered. Applications of this problem arise in the strategic design of bi-level telecommunication networks. We investigate an extended integer programming formulation for the problem and different approaches to deal with the NP-hardness of the pricing problem that appears in a branch-and-price algorithm to solve it. Computational experiments show how heuristics and relaxations improved the performance of a branch-and-price algorithm.
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