{"id":"https://openalex.org/W2775328363","doi":"https://doi.org/10.1007/s10898-017-0596-8","title":"Filter-based DIRECT method for constrained global optimization","display_name":"Filter-based DIRECT method for constrained global optimization","publication_year":2017,"publication_date":"2017-12-16","ids":{"openalex":"https://openalex.org/W2775328363","doi":"https://doi.org/10.1007/s10898-017-0596-8","mag":"2775328363"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-017-0596-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-017-0596-8","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":"gold","oa_url":"https://hdl.handle.net/1822/57942","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029326209","display_name":"M. Fernanda P. Costa","orcid":"https://orcid.org/0000-0001-6235-286X"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"M. Fernanda P. Costa","raw_affiliation_strings":["Centre of Mathematics, Department of Mathematics and Applications, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre of Mathematics, Department of Mathematics and Applications, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045696390","display_name":"Ana Maria A. C. Rocha","orcid":"https://orcid.org/0000-0001-8679-2886"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Ana Maria A. C. Rocha","raw_affiliation_strings":["Algoritmi Research Centre, Department of Production and Systems, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algoritmi Research Centre, Department of Production and Systems, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004033429","display_name":"Edite M. G. P. Fernandes","orcid":"https://orcid.org/0000-0003-0722-9361"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Edite M. G. P. Fernandes","raw_affiliation_strings":["Algoritmi Research Centre, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algoritmi Research Centre, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029326209"],"corresponding_institution_ids":["https://openalex.org/I99682543"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":{"value":2780,"currency":"USD","value_usd":2780},"fwci":2.2245,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.8855472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"71","issue":"3","first_page":"517","last_page":"536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":1.0,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9958000183105469,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7297791838645935},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7205739617347717},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6916140913963318},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6869052052497864},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.5109233260154724},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5033172965049744},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.43157434463500977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20742645859718323},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06772860884666443}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7297791838645935},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7205739617347717},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6916140913963318},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6869052052497864},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.5109233260154724},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5033172965049744},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43157434463500977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20742645859718323},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06772860884666443},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10898-017-0596-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-017-0596-8","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:oai:repositorium.uminho.pt:1822/57942","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/57942","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/57942","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/57942","pdf_url":"http://hdl.handle.net/1822/57942","source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:71:y:2018:i:3:d:10.1007_s10898-017-0596-8","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-017-0596-8","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:oai:repositorium.uminho.pt:1822/57942","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/57942","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1516346500","display_name":null,"funder_award_id":"01-0145","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G1578237752","display_name":null,"funder_award_id":"COMPETE","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G1763632427","display_name":null,"funder_award_id":"POCI-01-0145","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3133736682","display_name":null,"funder_award_id":"UID/CEC/00319/2013.","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3840324753","display_name":null,"funder_award_id":"POCI-01-0145-FEDER-","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G5224927334","display_name":null,"funder_award_id":"POCI-01-","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G5270559075","display_name":null,"funder_award_id":"POCI-01-0145-FEDER-007043","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G897206395","display_name":null,"funder_award_id":"UID/MAT/00013/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1534033123","https://openalex.org/W1604314819","https://openalex.org/W1929342437","https://openalex.org/W1973915159","https://openalex.org/W1976388735","https://openalex.org/W1977235330","https://openalex.org/W1991583745","https://openalex.org/W2006575733","https://openalex.org/W2010642019","https://openalex.org/W2013072143","https://openalex.org/W2027374694","https://openalex.org/W2027407693","https://openalex.org/W2029564096","https://openalex.org/W2037656101","https://openalex.org/W2048799772","https://openalex.org/W2051240370","https://openalex.org/W2053821756","https://openalex.org/W2056908814","https://openalex.org/W2059550728","https://openalex.org/W2069963980","https://openalex.org/W2075572180","https://openalex.org/W2079854116","https://openalex.org/W2084708846","https://openalex.org/W2093117412","https://openalex.org/W2111056668","https://openalex.org/W2113741278","https://openalex.org/W2146232856","https://openalex.org/W2147666917","https://openalex.org/W2149454052","https://openalex.org/W2151092342","https://openalex.org/W2179820354","https://openalex.org/W2249956314","https://openalex.org/W2301746362","https://openalex.org/W2325867488","https://openalex.org/W2469826300","https://openalex.org/W2527121375","https://openalex.org/W2527410516","https://openalex.org/W2567640925","https://openalex.org/W2592813450","https://openalex.org/W2798766386","https://openalex.org/W2962898795","https://openalex.org/W4244633107","https://openalex.org/W4298872671"],"related_works":["https://openalex.org/W4205762803","https://openalex.org/W2535856026","https://openalex.org/W2265065644","https://openalex.org/W2134699697","https://openalex.org/W1517908938","https://openalex.org/W2322875716","https://openalex.org/W2468698815","https://openalex.org/W2383516975","https://openalex.org/W2374878784","https://openalex.org/W2147679489"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,8,15],"DIRECT-type":[4,89],"method":[5],"that":[6,57,76],"uses":[7],"filter":[9,29],"methodology":[10,30],"to":[11,14,32,35],"assure":[12],"convergence":[13,65],"feasible":[16,41],"and":[17,22,49,53,60],"optimal":[18],"solution":[19],"of":[20,38,67],"nonsmooth":[21],"nonconvex":[23],"constrained":[24],"global":[25],"optimization":[26],"problems.":[27],"The":[28,64],"aims":[31],"give":[33],"priority":[34],"the":[36,68,77],"selection":[37],"hyperrectangles":[39],"with":[40,47,87],"center":[42,51,62],"points,":[43],"followed":[44],"by":[45,55],"those":[46,56],"infeasible":[48,59],"non-dominated":[50],"points":[52],"finally":[54],"have":[58],"dominated":[61],"points.":[63],"properties":[66],"algorithm":[69,81],"are":[70],"analyzed.":[71],"Preliminary":[72],"numerical":[73],"experiments":[74],"show":[75],"proposed":[78],"filter-based":[79],"DIRECT":[80],"gives":[82],"competitive":[83],"results":[84],"when":[85],"compared":[86],"other":[88],"methods.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}