{"id":"https://openalex.org/W2782326306","doi":"https://doi.org/10.1007/s10479-017-2746-2","title":"Minimum tiling of a rectangle by squares","display_name":"Minimum tiling of a rectangle by squares","publication_year":2018,"publication_date":"2018-01-03","ids":{"openalex":"https://openalex.org/W2782326306","doi":"https://doi.org/10.1007/s10479-017-2746-2","mag":"2782326306"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-017-2746-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-017-2746-2","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11585/656443","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055569763","display_name":"Michele Monaci","orcid":"https://orcid.org/0000-0001-9978-7613"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Michele Monaci","raw_affiliation_strings":["DEI, Universit\u00e0 di Bologna, Viale Risorgimento 2, 40136, Bologna, Italy"],"raw_orcid":"https://orcid.org/0000-0001-9978-7613","affiliations":[{"raw_affiliation_string":"DEI, Universit\u00e0 di Bologna, Viale Risorgimento 2, 40136, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086393146","display_name":"Andr\u00e9 Gustavo dos Santos","orcid":"https://orcid.org/0000-0002-5743-3523"},"institutions":[{"id":"https://openalex.org/I146165071","display_name":"Universidade Federal de Vi\u00e7osa","ror":"https://ror.org/0409dgb37","country_code":"BR","type":"education","lineage":["https://openalex.org/I146165071"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Gustavo dos Santos","raw_affiliation_strings":["DPI, Universidade Federal de Vi\u00e7osa, Av. P. H. Rolfs s/n, Vi\u00e7osa, MG, 36570-900, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DPI, Universidade Federal de Vi\u00e7osa, Av. P. H. Rolfs s/n, Vi\u00e7osa, MG, 36570-900, Brazil","institution_ids":["https://openalex.org/I146165071"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055569763"],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.2191,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6081948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"271","issue":"2","first_page":"831","last_page":"851"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.8923451900482178},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6829699277877808},{"id":"https://openalex.org/keywords/bin-packing-problem","display_name":"Bin packing problem","score":0.6256190538406372},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6165988445281982},{"id":"https://openalex.org/keywords/bin","display_name":"Bin","score":0.6061761379241943},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5999262928962708},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5931012034416199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5531272292137146},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5393947958946228},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.5087316632270813},{"id":"https://openalex.org/keywords/set-cover-problem","display_name":"Set cover problem","score":0.4762713611125946},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.47175246477127075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46747633814811707},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.41082459688186646},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40490034222602844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3686427175998688},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.2472296953201294},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1134909987449646}],"concepts":[{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.8923451900482178},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6829699277877808},{"id":"https://openalex.org/C87219788","wikidata":"https://www.wikidata.org/wiki/Q814581","display_name":"Bin packing problem","level":3,"score":0.6256190538406372},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6165988445281982},{"id":"https://openalex.org/C156273044","wikidata":"https://www.wikidata.org/wiki/Q4913766","display_name":"Bin","level":2,"score":0.6061761379241943},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5999262928962708},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5931012034416199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5531272292137146},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5393947958946228},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.5087316632270813},{"id":"https://openalex.org/C100808899","wikidata":"https://www.wikidata.org/wiki/Q1192100","display_name":"Set cover problem","level":3,"score":0.4762713611125946},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.47175246477127075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46747633814811707},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.41082459688186646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40490034222602844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3686427175998688},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.2472296953201294},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1134909987449646},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10479-017-2746-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-017-2746-2","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:271:y:2018:i:2:d:10.1007_s10479-017-2746-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-017-2746-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:americanae.aecid.es:1612553","is_oa":false,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=1612553","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da UFV","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:americanae.aecid.es:1880377","is_oa":false,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=1880377","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:LOCUS Reposit\u00f3rio Institucional da UFV","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:cris.unibo.it:11585/656443","is_oa":true,"landing_page_url":"https://hdl.handle.net/11585/656443","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:locus.ufv.br:123456789/22903","is_oa":false,"landing_page_url":"http://www.locus.ufv.br/handle/123456789/22903","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UFV","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:cris.unibo.it:11585/656443","is_oa":true,"landing_page_url":"https://hdl.handle.net/11585/656443","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6364072763","display_name":null,"funder_award_id":"PVE 030479/2013-01","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W254944847","https://openalex.org/W973533580","https://openalex.org/W1494149077","https://openalex.org/W1548063969","https://openalex.org/W1755315633","https://openalex.org/W1964705777","https://openalex.org/W1979962879","https://openalex.org/W1983194981","https://openalex.org/W2004241747","https://openalex.org/W2043790108","https://openalex.org/W2044121814","https://openalex.org/W2044897000","https://openalex.org/W2045250369","https://openalex.org/W2066671865","https://openalex.org/W2070357213","https://openalex.org/W2080059415","https://openalex.org/W2082836978","https://openalex.org/W2088674138","https://openalex.org/W2109314481","https://openalex.org/W2127220062","https://openalex.org/W2153974896","https://openalex.org/W2165033395"],"related_works":["https://openalex.org/W2797538013","https://openalex.org/W2026961896","https://openalex.org/W4255148175","https://openalex.org/W2971368033","https://openalex.org/W2001915926","https://openalex.org/W2096053066","https://openalex.org/W2104955674","https://openalex.org/W2949755993","https://openalex.org/W2967935725","https://openalex.org/W1590563747"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}