{"id":"https://openalex.org/W1938049985","doi":"https://doi.org/10.1109/cec.2004.1331086","title":"Voronoi-based estimation of distribution algorithm for multi-objective optimization","display_name":"Voronoi-based estimation of distribution algorithm for multi-objective optimization","publication_year":2005,"publication_date":"2005-01-17","ids":{"openalex":"https://openalex.org/W1938049985","doi":"https://doi.org/10.1109/cec.2004.1331086","mag":"1938049985"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2004.1331086","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2004.1331086","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753)","raw_type":"proceedings-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/A5033637736","display_name":"Tatsuya Okabe","orcid":null},"institutions":[{"id":"https://openalex.org/I1283473643","display_name":"Honda (Japan)","ror":"https://ror.org/03jzay846","country_code":"JP","type":"company","lineage":["https://openalex.org/I1283473643"]},{"id":"https://openalex.org/I4210112253","display_name":"Honda (Germany)","ror":"https://ror.org/022c1xk47","country_code":"DE","type":"company","lineage":["https://openalex.org/I1283473643","https://openalex.org/I4210112253"]}],"countries":["DE","JP"],"is_corresponding":true,"raw_author_name":"T. Okabe","raw_affiliation_strings":["Honda Research Institute Europe GmbH, Offenbach/Main, Germany","Honda Res. Inst. Eur. GmbH, Offenbach, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Honda Research Institute Europe GmbH, Offenbach/Main, Germany","institution_ids":["https://openalex.org/I4210112253"]},{"raw_affiliation_string":"Honda Res. Inst. Eur. GmbH, Offenbach, Germany#TAB#","institution_ids":["https://openalex.org/I1283473643"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032314861","display_name":"Yaochu Jin","orcid":"https://orcid.org/0000-0003-1100-0631"},"institutions":[{"id":"https://openalex.org/I1283473643","display_name":"Honda (Japan)","ror":"https://ror.org/03jzay846","country_code":"JP","type":"company","lineage":["https://openalex.org/I1283473643"]},{"id":"https://openalex.org/I4210112253","display_name":"Honda (Germany)","ror":"https://ror.org/022c1xk47","country_code":"DE","type":"company","lineage":["https://openalex.org/I1283473643","https://openalex.org/I4210112253"]}],"countries":["DE","JP"],"is_corresponding":false,"raw_author_name":"Y. Jin","raw_affiliation_strings":["Honda Research Institute Europe GmbH, Offenbach/Main, Germany","Honda Res. Inst. Eur. GmbH, Offenbach, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Honda Research Institute Europe GmbH, Offenbach/Main, Germany","institution_ids":["https://openalex.org/I4210112253"]},{"raw_affiliation_string":"Honda Res. Inst. Eur. GmbH, Offenbach, Germany#TAB#","institution_ids":["https://openalex.org/I1283473643"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046137049","display_name":"B. Sendoff","orcid":null},"institutions":[{"id":"https://openalex.org/I1283473643","display_name":"Honda (Japan)","ror":"https://ror.org/03jzay846","country_code":"JP","type":"company","lineage":["https://openalex.org/I1283473643"]},{"id":"https://openalex.org/I4210112253","display_name":"Honda (Germany)","ror":"https://ror.org/022c1xk47","country_code":"DE","type":"company","lineage":["https://openalex.org/I1283473643","https://openalex.org/I4210112253"]}],"countries":["DE","JP"],"is_corresponding":false,"raw_author_name":"B. Sendoff","raw_affiliation_strings":["Honda Res. Inst. Eur. GmbH, Offenbach, Germany","Honda Res. Inst. Eur. GmbH, Offenbach, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Honda Res. Inst. Eur. GmbH, Offenbach, Germany","institution_ids":["https://openalex.org/I4210112253"]},{"raw_affiliation_string":"Honda Res. Inst. Eur. GmbH, Offenbach, Germany#TAB#","institution_ids":["https://openalex.org/I1283473643"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086755250","display_name":"Markus Olhofer","orcid":"https://orcid.org/0000-0002-3062-3829"},"institutions":[{"id":"https://openalex.org/I1283473643","display_name":"Honda (Japan)","ror":"https://ror.org/03jzay846","country_code":"JP","type":"company","lineage":["https://openalex.org/I1283473643"]},{"id":"https://openalex.org/I4210112253","display_name":"Honda (Germany)","ror":"https://ror.org/022c1xk47","country_code":"DE","type":"company","lineage":["https://openalex.org/I1283473643","https://openalex.org/I4210112253"]}],"countries":["DE","JP"],"is_corresponding":false,"raw_author_name":"M. Olhofer","raw_affiliation_strings":["Honda Research Institute Europe GmbH, Offenbach/Main, Germany","Honda Res. Inst. Eur. GmbH, Offenbach, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Honda Research Institute Europe GmbH, Offenbach/Main, Germany","institution_ids":["https://openalex.org/I4210112253"]},{"raw_affiliation_string":"Honda Res. Inst. Eur. GmbH, Offenbach, Germany#TAB#","institution_ids":["https://openalex.org/I1283473643"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033637736"],"corresponding_institution_ids":["https://openalex.org/I1283473643","https://openalex.org/I4210112253"],"apc_list":null,"apc_paid":null,"fwci":4.0395,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.93899981,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1594","last_page":"1601"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.998199999332428,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.878507673740387},{"id":"https://openalex.org/keywords/estimation-of-distribution-algorithm","display_name":"Estimation of distribution algorithm","score":0.8543432950973511},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.67783522605896},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5731365084648132},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5212374329566956},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5161015391349792},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49513283371925354},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.47367149591445923},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.46489304304122925},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44191431999206543}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.878507673740387},{"id":"https://openalex.org/C162500139","wikidata":"https://www.wikidata.org/wiki/Q2835887","display_name":"Estimation of distribution algorithm","level":2,"score":0.8543432950973511},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.67783522605896},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5731365084648132},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5212374329566956},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5161015391349792},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49513283371925354},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.47367149591445923},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.46489304304122925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44191431999206543},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cec.2004.1331086","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2004.1331086","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.72.4848","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.72.4848","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.soft-computing.de/cec-2004-1445-final.pdf","raw_type":"text"},{"id":"pmh:oai:alma.44SUR_INST:11138961050002346","is_oa":false,"landing_page_url":"http://doi.org/10.1109/CEC.2004.1331086","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"event"},{"id":"pmh:oai:epubs.surrey.ac.uk:532848","is_oa":false,"landing_page_url":"http://epubs.surrey.ac.uk/532848/1/cec-2004.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400680","display_name":"Surrey Research Insight Open Access (The University of Surrey)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28290843","host_organization_name":"University of Surrey","host_organization_lineage":["https://openalex.org/I28290843"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W120226547","https://openalex.org/W191705817","https://openalex.org/W1534408902","https://openalex.org/W1540706608","https://openalex.org/W1553373771","https://openalex.org/W1595498733","https://openalex.org/W1853444542","https://openalex.org/W2001777732","https://openalex.org/W2045863650","https://openalex.org/W2072782187","https://openalex.org/W2101305920","https://openalex.org/W2115167570","https://openalex.org/W2126105956","https://openalex.org/W2130129690","https://openalex.org/W2148694408","https://openalex.org/W2170539222","https://openalex.org/W2414365832","https://openalex.org/W2430406707","https://openalex.org/W2519158495","https://openalex.org/W2798115135","https://openalex.org/W2999729612","https://openalex.org/W3154803405","https://openalex.org/W4292408320","https://openalex.org/W6607878208","https://openalex.org/W6677498713","https://openalex.org/W6679135266","https://openalex.org/W6685104253","https://openalex.org/W6717681995","https://openalex.org/W6726457939"],"related_works":["https://openalex.org/W3020555194","https://openalex.org/W2793256277","https://openalex.org/W2348235448","https://openalex.org/W4360958759","https://openalex.org/W2116218375","https://openalex.org/W2053360669","https://openalex.org/W1571925721","https://openalex.org/W2387767111","https://openalex.org/W2369632919","https://openalex.org/W2048487010"],"abstract_inverted_index":{"The":[0],"distribution":[1,39,67,100],"of":[2,18,38,66,93,99,114],"the":[3,16,54,94,104],"Pareto-optimal":[4,115],"solutions":[5,116],"often":[6],"has":[7],"a":[8,19,60,74,118,123],"clear":[9],"structure.":[10,56],"To":[11],"adapt":[12],"evolutionary":[13],"algorithms":[14,101],"to":[15,48,53,79],"structure":[17],"multi-objective":[20,43],"optimization":[21],"problem,":[22],"either":[23],"an":[24,36],"adaptive":[25,28],"representation":[26,113],"or":[27],"genetic":[29],"operators":[30],"should":[31],"be":[32,89],"employed.":[33],"We":[34],"suggest":[35],"estimation":[37,65,98],"algorithm":[40,62,68,107],"for":[41],"solving":[42],"optimization,":[44],"which":[45,85],"is":[46,70,77,126],"able":[47],"adjust":[49],"its":[50],"reproduction":[51],"process":[52],"problem":[55],"For":[57],"this":[58],"purpose,":[59],"new":[61,86],"called":[63],"Voronoi-based":[64],"(VEDA)":[69],"proposed.":[71],"In":[72,111],"VEDA,":[73],"Voronoi":[75],"diagram":[76],"used":[78],"construct":[80],"stochastic":[81],"models,":[82],"based":[83],"on":[84],"offspring":[87],"will":[88],"generated.":[90],"Empirical":[91],"comparisons":[92],"VEDA":[95],"with":[96],"other":[97],"(EDAs)":[102],"and":[103],"popular":[105],"NSGA-II":[106],"are":[108],"carried":[109],"out.":[110],"addition,":[112],"using":[117],"mathematical":[119],"model":[120],"rather":[121],"than":[122],"solution":[124],"set":[125],"also":[127],"discussed.":[128]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}