{"id":"https://openalex.org/W3090444833","doi":"https://doi.org/10.1007/978-3-030-58808-3_39","title":"Penalty-Based Heuristic DIRECT Method for Constrained Global Optimization","display_name":"Penalty-Based Heuristic DIRECT Method for Constrained Global Optimization","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3090444833","doi":"https://doi.org/10.1007/978-3-030-58808-3_39","mag":"3090444833"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-58808-3_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-58808-3_39","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1822/68919","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":false,"raw_author_name":"M. Fernanda P. Costa","raw_affiliation_strings":["Centre of Mathematics, University of Minho, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre of Mathematics, University of Minho, 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 Center, University of Minho, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ALGORITMI Center, University of Minho, 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 Center, University of Minho, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ALGORITMI Center, University of Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99682543"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4711,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65162907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"538","last_page":"551"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9914000034332275,"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/penalty-method","display_name":"Penalty method","score":0.8734664916992188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7413001656532288},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7124967575073242},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6328287720680237},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.606429934501648},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.5208162069320679},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.48861533403396606},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48531144857406616},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.47118595242500305},{"id":"https://openalex.org/keywords/constrained-optimization-problem","display_name":"Constrained optimization problem","score":0.4561558961868286},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43676045536994934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40481579303741455},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.177228182554245}],"concepts":[{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.8734664916992188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7413001656532288},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7124967575073242},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6328287720680237},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.606429934501648},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.5208162069320679},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.48861533403396606},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48531144857406616},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.47118595242500305},{"id":"https://openalex.org/C2989514635","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization problem","level":3,"score":0.4561558961868286},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43676045536994934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40481579303741455},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.177228182554245},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-030-58808-3_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-58808-3_39","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/68919","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/68919","pdf_url":"http://hdl.handle.net/1822/68919","source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"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":null},{"id":"pmh:oai:repositorium.uminho.pt:1822/68919","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/68919","pdf_url":null,"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":null,"raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/68919","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/68919","pdf_url":"http://hdl.handle.net/1822/68919","source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"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":null},"sustainable_development_goals":[{"score":0.7599999904632568,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G6738320923","display_name":"Center of Mathematics of the University of Minho","funder_award_id":"UIDB/00013/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G675164129","display_name":"Center of Mathematics of the University of Minho","funder_award_id":"UIDP/00013/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G7949088935","display_name":"ALGORITMI Research Center","funder_award_id":"UIDB/00319/2020","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3090444833.pdf","grobid_xml":"https://content.openalex.org/works/W3090444833.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1534033123","https://openalex.org/W1582366873","https://openalex.org/W1604314819","https://openalex.org/W1977235330","https://openalex.org/W2053821756","https://openalex.org/W2063240134","https://openalex.org/W2075572180","https://openalex.org/W2091785502","https://openalex.org/W2094780558","https://openalex.org/W2113741278","https://openalex.org/W2400492420","https://openalex.org/W2527121375","https://openalex.org/W2527410516","https://openalex.org/W2626285949","https://openalex.org/W2756344120","https://openalex.org/W2775328363","https://openalex.org/W2780551984","https://openalex.org/W2908226446","https://openalex.org/W2989114074","https://openalex.org/W4298872671"],"related_works":["https://openalex.org/W2912146214","https://openalex.org/W2936968591","https://openalex.org/W23263483","https://openalex.org/W2605980318","https://openalex.org/W4312509357","https://openalex.org/W2022186866","https://openalex.org/W2098490153","https://openalex.org/W1966234810","https://openalex.org/W2361513852","https://openalex.org/W1971170018"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
