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An effective algorithm for obtaining the whole set of minimal cost pairs of disjoint paths with dual arc costs

dc.contributor.authorGomes, Teresa
dc.contributor.authorCraveirinha, José
dc.contributor.authorJorge, Luísa
dc.date.accessioned2011-06-03T15:46:43Z
dc.date.available2011-06-03T15:46:43Z
dc.date.issued2010
dc.description.abstractIn telecommunication networks design the problem of obtaining optimal (arc or node) disjoint paths, for increasing network reliability, is extremely important. The problem of calculating kc disjoint paths from s to t (two distinct nodes), in a network with kc different (arbitrary) costs on every arc such that the total cost of the paths is minimised, is NP-complete even for kc = 2. When kc = 2 these networks are usually designated as dual arc cost networks. In this paper we propose an exact algorithm for finding the whole set of arc-disjoint path pairs, with minimal cost in a network with dual arc costs. The correctness of the algorithm is based on a condition which guarantees that the optimal path pair cost has been obtained and on a proposition which guarantees that at the end of the algorithm all the optimal pairs have been obtained. The optimality condition is based on the calculation of upper and lower bounds on the optimal cost. Extensive experimentation is presented to show the effectiveness of the algorithm.por
dc.identifier.citationGomes, Teresa; Craveirinha, José; Jorge, Luísa (2010). An effective algorithm for obtaining the whole set of minimal cost pairs of disjoint paths with dual arc costs. Journal of Combinatorial Optimization. ISSN 1382-6905. p. 394-414por
dc.identifier.doi10.1007/s10878-009-9255-4
dc.identifier.issn1382-6905
dc.identifier.urihttp://hdl.handle.net/10198/4994
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringerpor
dc.relation.ispartofseries19/3;
dc.subjectOR in telecommunicationspor
dc.subjectPaths with minimal cost sumpor
dc.subjectDual arc costspor
dc.titleAn effective algorithm for obtaining the whole set of minimal cost pairs of disjoint paths with dual arc costspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage414por
oaire.citation.startPage394por
oaire.citation.titleJournal of Combinatorial Optimizationpor
person.familyNameJorge
person.givenNameLuísa
person.identifier.ciencia-idAB16-0263-87CB
person.identifier.orcid0000-0002-0623-7282
person.identifier.ridF-5156-2014
person.identifier.scopus-author-id22134881600
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication103e1f8c-bbdc-4ea3-a014-7b3b69ae5a00
relation.isAuthorOfPublication.latestForDiscovery103e1f8c-bbdc-4ea3-a014-7b3b69ae5a00

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