An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Pesquisa operacional (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382000000100011 |
Resumo: | In this work we present an enumerative scheme for determining the K-best solutions (K > 1) of the one dimensional knapsack problem. If n is the total number of different items and b is the knapsack's capacity, the computational complexity of the proposed scheme is bounded by O(Knb) with memory requirements bounded by O(nb). The algorithm was implemented in a workstation and computational tests for varying values of the parameters were performed. |
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An algorithm for determining the K-best solutions of the one-dimensional Knapsack problemKnapsack problemK-best solutionsIn this work we present an enumerative scheme for determining the K-best solutions (K > 1) of the one dimensional knapsack problem. If n is the total number of different items and b is the knapsack's capacity, the computational complexity of the proposed scheme is bounded by O(Knb) with memory requirements bounded by O(nb). The algorithm was implemented in a workstation and computational tests for varying values of the parameters were performed.Sociedade Brasileira de Pesquisa Operacional2000-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382000000100011Pesquisa Operacional v.20 n.1 2000reponame:Pesquisa operacional (Online)instname:Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)instacron:SOBRAPO10.1590/S0101-74382000000100011info:eu-repo/semantics/openAccessYanasse,Horacio HidekiSoma,Nei YoshihiroMaculan,Nelsoneng2003-05-27T00:00:00Zoai:scielo:S0101-74382000000100011Revistahttp://www.scielo.br/popehttps://old.scielo.br/oai/scielo-oai.php||sobrapo@sobrapo.org.br1678-51420101-7438opendoar:2003-05-27T00:00Pesquisa operacional (Online) - Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)false |
dc.title.none.fl_str_mv |
An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem |
title |
An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem |
spellingShingle |
An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem Yanasse,Horacio Hideki Knapsack problem K-best solutions |
title_short |
An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem |
title_full |
An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem |
title_fullStr |
An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem |
title_full_unstemmed |
An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem |
title_sort |
An algorithm for determining the K-best solutions of the one-dimensional Knapsack problem |
author |
Yanasse,Horacio Hideki |
author_facet |
Yanasse,Horacio Hideki Soma,Nei Yoshihiro Maculan,Nelson |
author_role |
author |
author2 |
Soma,Nei Yoshihiro Maculan,Nelson |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Yanasse,Horacio Hideki Soma,Nei Yoshihiro Maculan,Nelson |
dc.subject.por.fl_str_mv |
Knapsack problem K-best solutions |
topic |
Knapsack problem K-best solutions |
description |
In this work we present an enumerative scheme for determining the K-best solutions (K > 1) of the one dimensional knapsack problem. If n is the total number of different items and b is the knapsack's capacity, the computational complexity of the proposed scheme is bounded by O(Knb) with memory requirements bounded by O(nb). The algorithm was implemented in a workstation and computational tests for varying values of the parameters were performed. |
publishDate |
2000 |
dc.date.none.fl_str_mv |
2000-06-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382000000100011 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382000000100011 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0101-74382000000100011 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Pesquisa Operacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Pesquisa Operacional |
dc.source.none.fl_str_mv |
Pesquisa Operacional v.20 n.1 2000 reponame:Pesquisa operacional (Online) instname:Sociedade Brasileira de Pesquisa Operacional (SOBRAPO) instacron:SOBRAPO |
instname_str |
Sociedade Brasileira de Pesquisa Operacional (SOBRAPO) |
instacron_str |
SOBRAPO |
institution |
SOBRAPO |
reponame_str |
Pesquisa operacional (Online) |
collection |
Pesquisa operacional (Online) |
repository.name.fl_str_mv |
Pesquisa operacional (Online) - Sociedade Brasileira de Pesquisa Operacional (SOBRAPO) |
repository.mail.fl_str_mv |
||sobrapo@sobrapo.org.br |
_version_ |
1750318016171606016 |