{"id":"https://openalex.org/W2114631684","doi":"https://doi.org/10.1109/tevc.2009.2028330","title":"Nonlinear Network Optimization\u2014An Embedding Vector Space Approach","display_name":"Nonlinear Network Optimization\u2014An Embedding Vector Space Approach","publication_year":2009,"publication_date":"2009-11-03","ids":{"openalex":"https://openalex.org/W2114631684","doi":"https://doi.org/10.1109/tevc.2009.2028330","mag":"2114631684"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2009.2028330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2009.2028330","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081008483","display_name":"Eduardo G. Carrano","orcid":"https://orcid.org/0000-0003-3368-4245"},"institutions":[{"id":"https://openalex.org/I4210136482","display_name":"Federal Center for Technological Education of Minas Gerais","ror":"https://ror.org/04ch49185","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210136482"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Eduardo G Carrano","raw_affiliation_strings":["Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais, Belo Horizonte, Brazil"],"affiliations":[{"raw_affiliation_string":"Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais, Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I4210136482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084933585","display_name":"Ricardo H. C. Takahashi","orcid":"https://orcid.org/0000-0003-0814-6314"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ricardo H C Takahashi","raw_affiliation_strings":["Department of Mathematics, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038504776","display_name":"Carlos M. Fonseca","orcid":"https://orcid.org/0000-0001-5162-2457"},"institutions":[{"id":"https://openalex.org/I71503853","display_name":"University of Algarve","ror":"https://ror.org/014g34x36","country_code":"PT","type":"education","lineage":["https://openalex.org/I71503853"]},{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Carlos M Fonseca","raw_affiliation_strings":["Center of Management Studies, Instituto Superior T\u00e9cnico, Universidade T\u00e9cnica de Lisboa, Porto Salvo, Portugal","Department of Electronic Engineering and Informatics, Faculty of Science and Technology, Universidade do Algarve, Faro, Portugal"],"affiliations":[{"raw_affiliation_string":"Center of Management Studies, Instituto Superior T\u00e9cnico, Universidade T\u00e9cnica de Lisboa, Porto Salvo, Portugal","institution_ids":["https://openalex.org/I4387152517"]},{"raw_affiliation_string":"Department of Electronic Engineering and Informatics, Faculty of Science and Technology, Universidade do Algarve, Faro, Portugal","institution_ids":["https://openalex.org/I71503853"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110496158","display_name":"Oriane M. Neto","orcid":null},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Oriane M Neto","raw_affiliation_strings":["Department of Electrical Engineering, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I110200422"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081008483"],"corresponding_institution_ids":["https://openalex.org/I4210136482"],"apc_list":null,"apc_paid":null,"fwci":9.5979,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.98575567,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"2","first_page":"206","last_page":"226"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9994000196456909,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9914000034332275,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.539885938167572},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4493534564971924},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4423951208591461},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.42995965480804443},{"id":"https://openalex.org/keywords/minimum-spanning-tree","display_name":"Minimum spanning tree","score":0.4169667959213257},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4157656729221344},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35684558749198914}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.539885938167572},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4493534564971924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4423951208591461},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.42995965480804443},{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.4169667959213257},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4157656729221344},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35684558749198914},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tevc.2009.2028330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2009.2028330","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W70558519","https://openalex.org/W143522532","https://openalex.org/W147998453","https://openalex.org/W317165722","https://openalex.org/W329913983","https://openalex.org/W1490787220","https://openalex.org/W1527657226","https://openalex.org/W1534416612","https://openalex.org/W1574175429","https://openalex.org/W1595159159","https://openalex.org/W1607768087","https://openalex.org/W1874033206","https://openalex.org/W1963987706","https://openalex.org/W1965680834","https://openalex.org/W1970101292","https://openalex.org/W1979925663","https://openalex.org/W1984900821","https://openalex.org/W1986330908","https://openalex.org/W1992339380","https://openalex.org/W2002860019","https://openalex.org/W2003064123","https://openalex.org/W2004617458","https://openalex.org/W2011039300","https://openalex.org/W2011735378","https://openalex.org/W2031631872","https://openalex.org/W2032264127","https://openalex.org/W2038225707","https://openalex.org/W2039568841","https://openalex.org/W2040307066","https://openalex.org/W2047284472","https://openalex.org/W2047517090","https://openalex.org/W2049017414","https://openalex.org/W2052148835","https://openalex.org/W2067030432","https://openalex.org/W2067094195","https://openalex.org/W2068052225","https://openalex.org/W2075706745","https://openalex.org/W2077242972","https://openalex.org/W2081230102","https://openalex.org/W2083097622","https://openalex.org/W2093657105","https://openalex.org/W2115637931","https://openalex.org/W2119799975","https://openalex.org/W2123768241","https://openalex.org/W2125011575","https://openalex.org/W2126261311","https://openalex.org/W2134634502","https://openalex.org/W2135646341","https://openalex.org/W2135926883","https://openalex.org/W2142146559","https://openalex.org/W2142183404","https://openalex.org/W2147758533","https://openalex.org/W2151924821","https://openalex.org/W2157107726","https://openalex.org/W2158596442","https://openalex.org/W2165323796","https://openalex.org/W2165985601","https://openalex.org/W2168033249","https://openalex.org/W2266946488","https://openalex.org/W2615258659","https://openalex.org/W3194776842","https://openalex.org/W4210681352","https://openalex.org/W4255306344","https://openalex.org/W4292230442","https://openalex.org/W4301173492","https://openalex.org/W6636486754","https://openalex.org/W6682328532"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W3104770499","https://openalex.org/W4285677055","https://openalex.org/W1992731528","https://openalex.org/W2007843488","https://openalex.org/W1994436307","https://openalex.org/W1987021796","https://openalex.org/W2795565301","https://openalex.org/W4387886124"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,28,49,88,114],"normed-space":[4,137],"vector":[5,139],"representation":[6,140],"of":[7,37,43,65,72,128],"networks":[8],"which":[9,31,149],"allows":[10],"defining":[11],"evolutionary":[12],"operators":[13,22],"for":[14,34,154],"network":[15,104,138],"optimization":[16,36],"that":[17,134],"resemble":[18],"continuous-space":[19],"operators.":[20],"These":[21],"are":[23],"employed":[24],"here":[25],"to":[26,82,99,143],"build":[27],"genetic":[29,50,58],"algorithm":[30,51],"becomes":[32],"generic":[33],"the":[35,41,66,73,110,135],"tree":[38,70],"networks,":[39],"without":[40],"requirement":[42],"any":[44],"special":[45],"encoding":[46],"scheme.":[47],"Such":[48],"has":[52,79,95],"been":[53,80,97,119],"compared":[54],"with":[55,121],"several":[56],"encoding-based":[57],"algorithms,":[59],"on":[60],"25":[61],"and":[62,71,78],"50-node":[63],"instances":[64],"optimal":[67],"communication":[68],"spanning":[69,76],"quadratic":[74],"minimum":[75],"tree,":[77],"shown":[81],"outperform":[83],"all":[84],"other":[85],"algorithms":[86],"in":[87,113],"stochastic":[89],"dominance":[90],"analysis.":[91],"The":[92,126],"proposed":[93,136],"approach":[94],"also":[96],"applied":[98],"an":[100,122],"electric":[101],"power":[102],"distribution":[103],"design":[105],"(a":[106],"multibranch":[107],"problem),":[108],"outperforming":[109],"results":[111,127],"presented":[112],"former":[115],"reference":[116],"(which":[117],"have":[118],"obtained":[120],"Ant":[123],"Colony":[124],"algorithm).":[125],"some":[129,144],"landscape":[130],"dispersion":[131],"analysis":[132],"suggest":[133],"is":[141],"analogous":[142],"continuous-variable":[145],"space":[146,152],"dilation":[147],"operations,":[148],"define":[150],"favorable":[151],"coordinates":[153],"optimization.":[155]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}