{"id":"https://openalex.org/W2560674158","doi":"https://doi.org/10.1007/s10898-016-0483-8","title":"A nonlinear programming model with implicit variables for packing ellipsoids","display_name":"A nonlinear programming model with implicit variables for packing ellipsoids","publication_year":2016,"publication_date":"2016-12-08","ids":{"openalex":"https://openalex.org/W2560674158","doi":"https://doi.org/10.1007/s10898-016-0483-8","mag":"2560674158"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-016-0483-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-016-0483-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dx.doi.org/10.1007/s10898-016-0483-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087290455","display_name":"Ernesto G. Birgin","orcid":"https://orcid.org/0000-0002-7466-7663"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"E. G. Birgin","raw_affiliation_strings":["Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o 1010, Cidade Universit\u00e1ria, S\u00e3o Paulo, SP, 05508-090, Brazil","Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o 1010, Cidade Universit\u00e1ria, S\u00e3o Paulo, SP, 05508-090, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086810353","display_name":"Rafael Durbano Lobato","orcid":"https://orcid.org/0000-0003-1445-0435"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"R. D. Lobato","raw_affiliation_strings":["Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o 1010, Cidade Universit\u00e1ria, S\u00e3o Paulo, SP, 05508-090, Brazil","Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o 1010, Cidade Universit\u00e1ria, S\u00e3o Paulo, SP, 05508-090, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066019994","display_name":"J. M. Mart\u0131\u0301nez","orcid":"https://orcid.org/0000-0003-3331-368X"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J. M. Mart\u00ednez","raw_affiliation_strings":["Department of Applied Mathematics, Institute of Mathematics, Statistics, and Scientific Computing, State University of Campinas, Campinas, SP, Brazil","Department of Applied Mathematics, Institute of Mathematics, Statistics, and Scientific Computing, State University of Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Institute of Mathematics, Statistics, and Scientific Computing, State University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Department of Applied Mathematics, Institute of Mathematics, Statistics, and Scientific Computing, State University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086810353"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":3.821,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.93556182,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"68","issue":"3","first_page":"467","last_page":"499"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.996999979019165,"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":0.996999979019165,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.979200005531311,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.9219691157341003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7196205258369446},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6508786678314209},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5899251699447632},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5659192204475403},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5306685566902161},{"id":"https://openalex.org/keywords/packing-problems","display_name":"Packing problems","score":0.4625825881958008}],"concepts":[{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.9219691157341003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7196205258369446},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6508786678314209},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5899251699447632},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5659192204475403},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5306685566902161},{"id":"https://openalex.org/C130253271","wikidata":"https://www.wikidata.org/wiki/Q3851477","display_name":"Packing problems","level":2,"score":0.4625825881958008},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-016-0483-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-016-0483-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:002861533","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10898-016-0483-8","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:RePEc:spr:jglopt:v:68:y:2017:i:3:d:10.1007_s10898-016-0483-8","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-016-0483-8","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"}],"best_oa_location":{"id":"pmh:002861533","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10898-016-0483-8","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1724689878","display_name":null,"funder_award_id":"2010/10133-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G2215087074","display_name":null,"funder_award_id":"154103/2011-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G3459681482","display_name":null,"funder_award_id":"309517/2014-1","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G407782428","display_name":null,"funder_award_id":"2012/23916-8","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G4891547815","display_name":null,"funder_award_id":"2013/05475-7","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G5990746028","display_name":null,"funder_award_id":"2013/07375-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G7035948073","display_name":null,"funder_award_id":"303750/2014-6","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7431257979","display_name":null,"funder_award_id":"2013/03447-6","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W102551087","https://openalex.org/W646582900","https://openalex.org/W1123507228","https://openalex.org/W1546275378","https://openalex.org/W1658516672","https://openalex.org/W1935548774","https://openalex.org/W1973734200","https://openalex.org/W1974255097","https://openalex.org/W1978100686","https://openalex.org/W1981474562","https://openalex.org/W1981745143","https://openalex.org/W1984266961","https://openalex.org/W1986491462","https://openalex.org/W1987995897","https://openalex.org/W1997548217","https://openalex.org/W2003179943","https://openalex.org/W2003949305","https://openalex.org/W2015757834","https://openalex.org/W2029049650","https://openalex.org/W2039355562","https://openalex.org/W2040703232","https://openalex.org/W2042032299","https://openalex.org/W2050024620","https://openalex.org/W2053191773","https://openalex.org/W2053911766","https://openalex.org/W2068513847","https://openalex.org/W2070636565","https://openalex.org/W2075572180","https://openalex.org/W2077458487","https://openalex.org/W2082569552","https://openalex.org/W2086806466","https://openalex.org/W2102777196","https://openalex.org/W2109633346","https://openalex.org/W2111769944","https://openalex.org/W2129124930","https://openalex.org/W2135439699","https://openalex.org/W2138405342","https://openalex.org/W2199861121","https://openalex.org/W2218130416","https://openalex.org/W2242228400","https://openalex.org/W2798766386","https://openalex.org/W2798909945","https://openalex.org/W3021387192","https://openalex.org/W4254313632","https://openalex.org/W4292408570"],"related_works":["https://openalex.org/W2390718407","https://openalex.org/W2005485125","https://openalex.org/W2034124193","https://openalex.org/W2085363807","https://openalex.org/W2379017606","https://openalex.org/W2171970890","https://openalex.org/W3007009522","https://openalex.org/W2389331984","https://openalex.org/W2108682989","https://openalex.org/W4321498403"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2016-12-16T00:00:00"}