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The small world of efficient solutions: empirical evidence from the bi-objective {0,1}-knapsack problem

datacite.subject.fosCiências Naturais::Ciências da Computação e da Informação
datacite.subject.fosCiências Naturais::Matemáticas
datacite.subject.fosCiências Sociais::Economia e Gestão
datacite.subject.sdg07:Energias Renováveis e Acessíveis
datacite.subject.sdg09:Indústria, Inovação e Infraestruturas
datacite.subject.sdg11:Cidades e Comunidades Sustentáveis
dc.contributor.authorSilva, Carlos Gomes da
dc.contributor.authorClímaco, João
dc.contributor.authorFilho, Adiel Almeida
dc.date.accessioned2025-12-17T20:05:44Z
dc.date.available2025-12-17T20:05:44Z
dc.date.issued2009-10-15
dc.description.abstractThe small world phenomenon, Milgram (1967) has inspired the study of real networks such as cellular networks, telephone call networks, citation networks, power and neural networks, etc. The present work is about the study of the graphs produced by efficient solutions of the bi-objective {0,1}-knapsack problem. The experiments show that these graphs exhibit properties of small world networks. The importance of the supported and non-supported solutions in the entire efficient graph is investigated. The present research could be useful for developing more effective search strategies in both exact and approximate solution methods of {0,1} multi-objective combinatorial optimization problems.eng
dc.description.sponsorshipThe authors would like to thank to the editor of the 4OR and to the anonymous referees for their comments and suggestions.
dc.identifier.citationGomes da Silva, C., Clímaco, J. & Filho, A.A. The small world of efficient solutions: empirical evidence from the bi-objective {0,1}-knapsack problem. 4OR-Q J Oper Res 8, 195–211 (2010). https://doi.org/10.1007/s10288-009-0110-3.
dc.identifier.doi10.1007/s10288-009-0110-3
dc.identifier.eissn1614-2411
dc.identifier.issn1619-4500
dc.identifier.urihttp://hdl.handle.net/10400.8/15144
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Nature
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s10288-009-0110-3
dc.relation.ispartof4OR
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectNetworks
dc.subjectSmall world measures
dc.subject{0 1} Multi-objective combinatorial optimization problems
dc.titleThe small world of efficient solutions: empirical evidence from the bi-objective {0,1}-knapsack problemeng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage211
oaire.citation.startPage195
oaire.citation.title4OR: A Quarterly Journal of Operations Research
oaire.citation.volume8
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameGomes da Silva
person.givenNameCarlos
person.identifier.orcid0000-0002-7405-9502
relation.isAuthorOfPublicationaf344878-0953-4a5c-82c7-4edffd17b9b6
relation.isAuthorOfPublication.latestForDiscoveryaf344878-0953-4a5c-82c7-4edffd17b9b6

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The small world phenomenon, Milgram (1967) has inspired the study of real networks such as cellular networks, telephone call networks, citation networks, power and neural networks, etc. The present work is about the study of the graphs produced by efficient solutions of the bi-objective {0,1}-knapsack problem. The experiments show that these graphs exhibit properties of small world networks. The importance of the supported and non-supported solutions in the entire efficient graph is investigated. The present research could be useful for developing more effective search strategies in both exact and approximate solution methods of {0,1} multi-objective combinatorial optimization problems.
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