The ring/κ-rings network design problem: model and branch-and-cut algorithm

dc.citation.epage140en_US
dc.citation.issueNumber2en_US
dc.citation.spage130en_US
dc.citation.volumeNumber68en_US
dc.contributor.authorRodríguez-Martín, I.en_US
dc.contributor.authorSalazar-González, J-J.en_US
dc.contributor.authorYaman, H.en_US
dc.date.accessioned2018-04-12T10:58:15Z
dc.date.available2018-04-12T10:58:15Z
dc.date.issued2016en_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.description.abstractThis article considers the problem of designing a two-level network where the upper level consists of a backbone ring network connecting the so-called hub nodes, and the lower level is formed by access ring networks that connect the non-hub nodes to the hub nodes. There is a fixed cost for each type of link, and a facility opening cost associated to each hub. The number of nodes in each access ring is bounded, and the number of access rings connected to a hub is limited to κ, thus resulting in a ring/κ-rings topology. The aim is to decide the hubs to open and to design the backbone and access rings to minimize the installation cost. We propose a mathematical model, give valid inequalities, and describe a branch-and-cut algorithm to solve the problem. Computational results show the algorithm is able to find optimal solutions on instances involving up to 40 nodes within a reasonable time.en_US
dc.identifier.doi10.1002/net.21687en_US
dc.identifier.eissn1097-0037
dc.identifier.issn0028-3045
dc.identifier.urihttp://hdl.handle.net/11693/36951
dc.language.isoEnglishen_US
dc.publisherJohn Wiley & Sonsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1002/net.21687en_US
dc.source.titleNetworksen_US
dc.subjectBranch-and-cuten_US
dc.subjectNetwork designen_US
dc.subjectRing networksen_US
dc.subjectValid inequalitiesen_US
dc.subjectAlgorithmsen_US
dc.subjectAccess ring networken_US
dc.subjectBranch and cuten_US
dc.subjectBranch-and-cut algorithmsen_US
dc.subjectComputational resultsen_US
dc.subjectValid inequalityen_US
dc.titleThe ring/κ-rings network design problem: model and branch-and-cut algorithmen_US
dc.typeArticleen_US

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