{"id":"https://openalex.org/W2069192243","doi":"https://doi.org/10.1162/evco_a_00135","title":"2 Indicator-Based Multiobjective Search","display_name":"2 Indicator-Based Multiobjective Search","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2069192243","doi":"https://doi.org/10.1162/evco_a_00135","mag":"2069192243","pmid":"https://pubmed.ncbi.nlm.nih.gov/24983593"},"language":"en","primary_location":{"id":"doi:10.1162/evco_a_00135","is_oa":false,"landing_page_url":"https://doi.org/10.1162/evco_a_00135","pdf_url":null,"source":{"id":"https://openalex.org/S38677346","display_name":"Evolutionary Computation","issn_l":"1063-6560","issn":["1063-6560","1530-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.12210/24903","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005693703","display_name":"Dimo Brockhoff","orcid":"https://orcid.org/0000-0003-3566-9989"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dimo Brockhoff","raw_affiliation_strings":["DOLPHIN Team, INRIA Lille, Nord Europe, 59650 Villeneuve d\u2019Ascq, France","DOLPHIN Team, INRIA Lille, Nord Europe, 59650 Villeneuve d'Ascq, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DOLPHIN Team, INRIA Lille, Nord Europe, 59650 Villeneuve d\u2019Ascq, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]},{"raw_affiliation_string":"DOLPHIN Team, INRIA Lille, Nord Europe, 59650 Villeneuve d'Ascq, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109562191","display_name":"Tobias Wagner","orcid":"https://orcid.org/0000-0001-5064-0960"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tobias Wagner","raw_affiliation_strings":["Institute of Machining Technology, TU Dortmund University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Machining Technology, TU Dortmund University, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084825454","display_name":"Heike Trautmann","orcid":"https://orcid.org/0000-0002-9788-8282"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Heike Trautmann","raw_affiliation_strings":["Information Systems and Statistics, M\u00fcnster University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems and Statistics, M\u00fcnster University, Germany","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.589,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.96281227,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"23","issue":"3","first_page":"369","last_page":"395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"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":1.0,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9926999807357788,"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"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.740702211856842},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6520401835441589},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6209558844566345},{"id":"https://openalex.org/keywords/performance-indicator","display_name":"Performance indicator","score":0.461700975894928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46129095554351807},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4449373483657837},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.44335705041885376},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4207862317562103},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4159458875656128}],"concepts":[{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.740702211856842},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6520401835441589},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6209558844566345},{"id":"https://openalex.org/C135510737","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Performance indicator","level":2,"score":0.461700975894928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46129095554351807},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4449373483657837},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.44335705041885376},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4207862317562103},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4159458875656128},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","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}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1162/evco_a_00135","is_oa":false,"landing_page_url":"https://doi.org/10.1162/evco_a_00135","pdf_url":null,"source":{"id":"https://openalex.org/S38677346","display_name":"Evolutionary Computation","issn_l":"1063-6560","issn":["1063-6560","1530-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Computation","raw_type":"journal-article"},{"id":"pmid:24983593","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24983593","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary computation","raw_type":null},{"id":"pmh:oai:HAL:hal-01329559v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01329559","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mitpressjournals.org/doi/10.1162/EVCO_a_00135","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/24903","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/24903","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/24903","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/24903","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8780907258","display_name":"Analysis, Improvement and Evaluation of Numerical Black-Box Optimizers","funder_award_id":"ANR-12-MONU-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W114258432","https://openalex.org/W138500685","https://openalex.org/W1504943474","https://openalex.org/W1558919105","https://openalex.org/W1613794742","https://openalex.org/W1846834309","https://openalex.org/W1858519628","https://openalex.org/W1976656630","https://openalex.org/W2002682954","https://openalex.org/W2003356218","https://openalex.org/W2035451851","https://openalex.org/W2038420231","https://openalex.org/W2050541690","https://openalex.org/W2098368199","https://openalex.org/W2098907614","https://openalex.org/W2100228661","https://openalex.org/W2108968575","https://openalex.org/W2112036188","https://openalex.org/W2118028531","https://openalex.org/W2125240538","https://openalex.org/W2125899728","https://openalex.org/W2127474646","https://openalex.org/W2135974394","https://openalex.org/W2138075238","https://openalex.org/W2143381319","https://openalex.org/W2144982506","https://openalex.org/W2148615815","https://openalex.org/W2160088187","https://openalex.org/W2324100798","https://openalex.org/W2504834262","https://openalex.org/W2949236636","https://openalex.org/W3023175681","https://openalex.org/W3029591682","https://openalex.org/W3122481131","https://openalex.org/W3127611755"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W4241467429","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2001591765","https://openalex.org/W2073147994","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W2384474142","https://openalex.org/W3083133203"],"abstract_inverted_index":{"In":[0,76],"multiobjective":[1,30,152],"optimization,":[2],"set-based":[3],"performance":[4,27],"indicators":[5],"are":[6,139],"commonly":[7],"used":[8],"to":[9],"assess":[10],"the":[11,20,38,57,65,72,92,95,107,112,116,134,142,160,166],"quality":[12],"of":[13,29,80,91,94,106,111,119,133,169],"a":[14,26,49,88,99,126],"Pareto":[15],"front":[16],"approximation.":[17],"Based":[18,124],"on":[19,71,115,125],"scalarization":[21],"obtained":[22],"by":[23],"these":[24],"indicators,":[25],"comparison":[28],"optimization":[31,153],"algorithms":[32],"becomes":[33],"possible.":[34],"The":[35,104],"R2":[36,73,96,135,143],"and":[37,101,109,131,136],"hypervolume":[39],"(HV)":[40],"indicator":[41,59,74,97,138,144],"represent":[42],"two":[43],"recommended":[44],"approaches":[45],"which":[46],"have":[47],"shown":[48,158],"correlated":[50],"behavior":[51],"in":[52,64,98],"recent":[53],"empirical":[54,102],"studies.":[55],"Whereas":[56],"HV":[58,137],"has":[60],"been":[61],"comprehensively":[62],"analyzed":[63],"last":[66],"years,":[67],"almost":[68],"no":[69],"studies":[70],"exist.":[75],"this":[77],"extended":[78],"version":[79],"our":[81],"previous":[82],"conference":[83],"paper,":[84],"we":[85],"thus":[86],"perform":[87],"comprehensive":[89],"investigation":[90],"properties":[93],"theoretical":[100],"way.":[103],"influence":[105],"number":[108],"distribution":[110,118,168],"weight":[113],"vectors":[114],"optimal":[117,167],"\u03bc":[120,170],"solutions":[121,171],"is":[122,145,157],"analyzed.":[123],"comparative":[127],"analysis,":[128],"specific":[129],"characteristics":[130],"differences":[132],"presented.":[140],"Furthermore,":[141],"integrated":[146],"into":[147],"an":[148],"indicator-based":[149],"steady-state":[150],"evolutionary":[151],"algorithm":[154],"(EMOA).":[155],"It":[156],"that":[159],"so-called":[161],"R2-EMOA":[162],"can":[163],"accurately":[164],"approximate":[165],"regarding":[172],"R2.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2016-06-24T00:00:00"}