{"id":"https://openalex.org/W2794706240","doi":"https://doi.org/10.1109/tcyb.2018.2809430","title":"Global and Local Surrogate-Assisted Differential Evolution for Expensive Constrained Optimization Problems With Inequality Constraints","display_name":"Global and Local Surrogate-Assisted Differential Evolution for Expensive Constrained Optimization Problems With Inequality Constraints","publication_year":2018,"publication_date":"2018-03-29","ids":{"openalex":"https://openalex.org/W2794706240","doi":"https://doi.org/10.1109/tcyb.2018.2809430","mag":"2794706240","pmid":"https://pubmed.ncbi.nlm.nih.gov/29993704"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2018.2809430","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2809430","pdf_url":"https://ieeexplore.ieee.org/ielx7/6221036/8660597/08327940.pdf","source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://ieeexplore.ieee.org/ielx7/6221036/8660597/08327940.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100424366","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0001-7670-3958"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong Wang","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032740384","display_name":"Da-Qing Yin","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Da-Qing Yin","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040583251","display_name":"Shengxiang Yang","orcid":"https://orcid.org/0000-0001-7222-4917"},"institutions":[{"id":"https://openalex.org/I66943878","display_name":"De Montfort University","ror":"https://ror.org/0312pnr83","country_code":"GB","type":"education","lineage":["https://openalex.org/I66943878"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Shengxiang Yang","raw_affiliation_strings":["Centre for Computational Intelligence, School of Computer Science and Informatics, De Montfort University, Leicester, U.K"],"affiliations":[{"raw_affiliation_string":"Centre for Computational Intelligence, School of Computer Science and Informatics, De Montfort University, Leicester, U.K","institution_ids":["https://openalex.org/I66943878"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010389876","display_name":"Guangyong Sun","orcid":"https://orcid.org/0000-0002-7179-6435"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Guangyong Sun","raw_affiliation_strings":["School of Aerospace, Mechanical and Mechatronic Engineering, Faculty of Engineering, University of Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Aerospace, Mechanical and Mechatronic Engineering, Faculty of Engineering, University of Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100424366"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":14.5339,"has_fulltext":true,"cited_by_count":177,"citation_normalized_percentile":{"value":0.99258982,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"49","issue":"5","first_page":"1642","last_page":"1656"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991999864578247,"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":0.9710999727249146,"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/surrogate-model","display_name":"Surrogate model","score":0.8220267295837402},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7037554979324341},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6530331373214722},{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.6272575855255127},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5564042925834656},{"id":"https://openalex.org/keywords/surrogate-data","display_name":"Surrogate data","score":0.5461685061454773},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.5402161478996277},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.5176630616188049},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.482611745595932},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44678863883018494},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44538724422454834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3778632581233978},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08028703927993774}],"concepts":[{"id":"https://openalex.org/C131675550","wikidata":"https://www.wikidata.org/wiki/Q7646884","display_name":"Surrogate model","level":2,"score":0.8220267295837402},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7037554979324341},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6530331373214722},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.6272575855255127},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5564042925834656},{"id":"https://openalex.org/C142806159","wikidata":"https://www.wikidata.org/wiki/Q7646876","display_name":"Surrogate data","level":3,"score":0.5461685061454773},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.5402161478996277},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.5176630616188049},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.482611745595932},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44678863883018494},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44538724422454834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3778632581233978},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08028703927993774},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tcyb.2018.2809430","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2809430","pdf_url":"https://ieeexplore.ieee.org/ielx7/6221036/8660597/08327940.pdf","source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:29993704","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29993704","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":"IEEE transactions on cybernetics","raw_type":null},{"id":"pmh:oai:repository.essex.ac.uk:21660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/TCYB.2018.2809430","pdf_url":null,"source":{"id":"https://openalex.org/S4306401236","display_name":"Open Access at Essex (University of Essex)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I110002522","host_organization_name":"University of Essex","host_organization_lineage":["https://openalex.org/I110002522"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:dora.dmu.ac.uk:2086/15303","is_oa":true,"landing_page_url":"http://hdl.handle.net/2086/15303","pdf_url":null,"source":{"id":"https://openalex.org/S4306400394","display_name":"DMU Open Research Archive (De Montfort University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66943878","host_organization_name":"De Montfort University","host_organization_lineage":["https://openalex.org/I66943878"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1109/tcyb.2018.2809430","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2809430","pdf_url":"https://ieeexplore.ieee.org/ielx7/6221036/8660597/08327940.pdf","source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1361938442","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1934935867","display_name":null,"funder_award_id":"Engineering and Physical Sciences R","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2600447917","display_name":null,"funder_award_id":"61673397","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2802911279","display_name":null,"funder_award_id":"Young","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3043485912","display_name":"Evolutionary Computation for Dynamic Optimisation in Network Environments","funder_award_id":"EP/K001310/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5662168501","display_name":null,"funder_award_id":"EP/K001310/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6028611894","display_name":null,"funder_award_id":"31715006","funder_id":"https://openalex.org/F4320326870","funder_display_name":"State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body"},{"id":"https://openalex.org/G6649984926","display_name":null,"funder_award_id":"2018CX010","funder_id":"https://openalex.org/F4320321514","funder_display_name":"Central South University"},{"id":"https://openalex.org/G7042882887","display_name":null,"funder_award_id":"61673331","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8842848566","display_name":null,"funder_award_id":"6167333","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321514","display_name":"Central South University","ror":"https://ror.org/00f1zfq44"},{"id":"https://openalex.org/F4320326870","display_name":"State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body","ror":null},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2794706240.pdf","grobid_xml":"https://content.openalex.org/works/W2794706240.grobid-xml"},"referenced_works_count":74,"referenced_works":["https://openalex.org/W99117077","https://openalex.org/W643736081","https://openalex.org/W1569467722","https://openalex.org/W1580664041","https://openalex.org/W1588959569","https://openalex.org/W1594993906","https://openalex.org/W1595159159","https://openalex.org/W1602193096","https://openalex.org/W1746819321","https://openalex.org/W1780343103","https://openalex.org/W1929236209","https://openalex.org/W1963751895","https://openalex.org/W1977147911","https://openalex.org/W1979126188","https://openalex.org/W1984603815","https://openalex.org/W1988945200","https://openalex.org/W1993271327","https://openalex.org/W2000503034","https://openalex.org/W2003143905","https://openalex.org/W2003724123","https://openalex.org/W2011174137","https://openalex.org/W2013695155","https://openalex.org/W2015616421","https://openalex.org/W2038984515","https://openalex.org/W2048810930","https://openalex.org/W2065273135","https://openalex.org/W2071563913","https://openalex.org/W2082228576","https://openalex.org/W2086421124","https://openalex.org/W2089801743","https://openalex.org/W2092101161","https://openalex.org/W2096369439","https://openalex.org/W2098392363","https://openalex.org/W2098888914","https://openalex.org/W2099197461","https://openalex.org/W2103055617","https://openalex.org/W2110194546","https://openalex.org/W2110368321","https://openalex.org/W2111811973","https://openalex.org/W2113123876","https://openalex.org/W2114334669","https://openalex.org/W2115305054","https://openalex.org/W2117250519","https://openalex.org/W2117640392","https://openalex.org/W2118020555","https://openalex.org/W2122702777","https://openalex.org/W2132932473","https://openalex.org/W2134154181","https://openalex.org/W2136918060","https://openalex.org/W2139747021","https://openalex.org/W2145479420","https://openalex.org/W2149723649","https://openalex.org/W2151339633","https://openalex.org/W2155951974","https://openalex.org/W2156762405","https://openalex.org/W2161029074","https://openalex.org/W2165281693","https://openalex.org/W2166739626","https://openalex.org/W2167999936","https://openalex.org/W2188268078","https://openalex.org/W2216523920","https://openalex.org/W2267041698","https://openalex.org/W2288179567","https://openalex.org/W2288517616","https://openalex.org/W2345178486","https://openalex.org/W2348980703","https://openalex.org/W2745261836","https://openalex.org/W2757662287","https://openalex.org/W2767690033","https://openalex.org/W4211049957","https://openalex.org/W4247680473","https://openalex.org/W6634245068","https://openalex.org/W6686956589","https://openalex.org/W6696251670"],"related_works":["https://openalex.org/W4287391569","https://openalex.org/W3212229229","https://openalex.org/W3198903284","https://openalex.org/W2912622974","https://openalex.org/W2370197656","https://openalex.org/W3209671989","https://openalex.org/W2910249264","https://openalex.org/W2122194038","https://openalex.org/W4307739277","https://openalex.org/W2080044387"],"abstract_inverted_index":{"For":[0],"expensive":[1],"constrained":[2],"optimization":[3],"problems":[4],"(ECOPs),":[5],"the":[6,52,59,68,84,98,105,108,114,119,126,129,136,139,142,146,162,165,167,172,177,181,190,199,232,235],"computation":[7],"of":[8,38,138,201,234,242],"objective":[9],"function":[10,154],"and":[11,22,46,111,133,180,223],"constraints":[12],"is":[13,73,97,155,185,238],"very":[14],"time-consuming.":[15],"This":[16],"paper":[17],"proposes":[18],"a":[19],"novel":[20],"global":[21,43,53,168],"local":[23,48,143,182],"surrogate-assisted":[24,44,49,54,144,169,183],"differential":[25],"evolution":[26],"(DE)":[27],"for":[28],"solving":[29],"ECOPs":[30],"with":[31,128,151],"inequality":[32],"constraints.":[33],"The":[34,95,208,227],"proposed":[35,209,236],"method":[36,149,210,237],"consists":[37],"two":[39,91,196,224],"main":[40],"phases:":[41],"1)":[42],"phase":[45,170,184],"2)":[47],"phase.":[50],"In":[51,80,117,141],"phase,":[55,145],"DE":[56],"serves":[57],"as":[58],"search":[60],"engine":[61],"to":[62,75,82,157,174,187],"produce":[63],"multiple":[64],"trial":[65,78,89],"vectors.":[66,79],"Afterward,":[67],"generalized":[69],"regression":[70],"neural":[71],"network":[72],"used":[74],"evaluate":[76],"these":[77,88,195],"order":[81],"select":[83],"best":[85],"candidate":[86],"from":[87,219],"vectors,":[90],"rules":[92],"are":[93],"combined.":[94],"first":[96,103],"feasibility":[99],"rule,":[100],"which":[101],"at":[102],"guides":[104],"population":[106],"toward":[107,113],"feasible":[109],"region,":[110],"then":[112],"optimal":[115],"solution.":[116],"addition,":[118],"second":[120],"rule":[121],"puts":[122],"more":[123],"emphasis":[124],"on":[125,214],"solution":[127],"highest":[130],"predicted":[131],"uncertainty,":[132],"thus":[134],"alleviates":[135],"inaccuracy":[137],"surrogates.":[140],"interior":[147],"point":[148],"coupled":[150],"radial":[152],"basis":[153],"utilized":[156],"refine":[158],"each":[159],"individual":[160],"in":[161],"population.":[163],"During":[164],"evolution,":[166],"has":[171,211],"capability":[173],"promptly":[175],"locate":[176],"promising":[178],"region":[179],"able":[186],"speed":[188],"up":[189],"convergence.":[191],"Therefore,":[192],"by":[193],"combining":[194],"important":[197],"elements,":[198],"number":[200],"fitness":[202],"evaluations":[203],"can":[204],"be":[205],"reduced":[206],"remarkably.":[207],"been":[212],"tested":[213],"numerous":[215],"benchmark":[216],"test":[217,221],"functions":[218],"three":[220],"suites":[222],"real-world":[225],"cases.":[226],"experimental":[228],"results":[229],"demonstrate":[230],"that":[231,241],"performance":[233],"better":[239],"than":[240],"other":[243],"state-of-the-art":[244],"methods.":[245]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":32},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":30},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":32},{"year":2020,"cited_by_count":24},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
