{"id":"https://openalex.org/W4399485179","doi":"https://doi.org/10.1109/tetci.2024.3404020","title":"Bi-Level Model Management Strategy for Solving Expensive Multi-Objective Optimization Problems","display_name":"Bi-Level Model Management Strategy for Solving Expensive Multi-Objective Optimization Problems","publication_year":2024,"publication_date":"2024-06-10","ids":{"openalex":"https://openalex.org/W4399485179","doi":"https://doi.org/10.1109/tetci.2024.3404020"},"language":"en","primary_location":{"id":"doi:10.1109/tetci.2024.3404020","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tetci.2024.3404020","pdf_url":null,"source":{"id":"https://openalex.org/S4210210251","display_name":"IEEE Transactions on Emerging Topics in Computational Intelligence","issn_l":"2471-285X","issn":["2471-285X"],"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 Emerging Topics in Computational Intelligence","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/A5100325833","display_name":"Fei Li","orcid":"https://orcid.org/0000-0002-5473-5649"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fei Li","raw_affiliation_strings":["Department of Electrical and Information Engineering, Anhui Province Key Laboratory of Metallurgical Engineering and Resources Recycling, Anhui Province Engineering Laboratory of Intelligent Demolition Equipment, Anhui Province Key Laboratory of Special Heavy Load Robot, Anhui University of Technology, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0002-5473-5649","affiliations":[{"raw_affiliation_string":"Department of Electrical and Information Engineering, Anhui Province Key Laboratory of Metallurgical Engineering and Resources Recycling, Anhui Province Engineering Laboratory of Intelligent Demolition Equipment, Anhui Province Key Laboratory of Special Heavy Load Robot, Anhui University of Technology, Anhui, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050787979","display_name":"Yujie Yang","orcid":"https://orcid.org/0009-0001-6306-1164"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujie Yang","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China"],"raw_orcid":"https://orcid.org/0009-0001-6306-1164","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035613790","display_name":"Y. Liu","orcid":"https://orcid.org/0009-0002-2927-1456"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhao Liu","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China","State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"raw_orcid":"https://orcid.org/0009-0002-2927-1456","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China","institution_ids":["https://openalex.org/I92178344"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101881570","display_name":"Yuanchao Liu","orcid":"https://orcid.org/0000-0002-7959-3712"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanchao Liu","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China","State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"raw_orcid":"https://orcid.org/0000-0002-7959-3712","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China","institution_ids":["https://openalex.org/I92178344"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007780355","display_name":"Muyun Qian","orcid":"https://orcid.org/0009-0005-2782-0062"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Muyun Qian","raw_affiliation_strings":["Department of Electrical and Information Engineering, Anhui University of Technology, Anhui, China"],"raw_orcid":"https://orcid.org/0009-0005-2782-0062","affiliations":[{"raw_affiliation_string":"Department of Electrical and Information Engineering, Anhui University of Technology, Anhui, China","institution_ids":["https://openalex.org/I92178344"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2907,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.92957473,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"9","issue":"1","first_page":"332","last_page":"346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.8640000224113464,"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":0.8640000224113464,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.7846999764442444,"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"}},{"id":"https://openalex.org/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.7145000100135803,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/computer-science","display_name":"Computer science","score":0.529943585395813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5268558263778687},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4541350305080414},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.3299483060836792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2427278459072113},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16001543402671814}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.529943585395813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5268558263778687},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4541350305080414},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3299483060836792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2427278459072113},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16001543402671814}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tetci.2024.3404020","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tetci.2024.3404020","pdf_url":null,"source":{"id":"https://openalex.org/S4210210251","display_name":"IEEE Transactions on Emerging Topics in Computational Intelligence","issn_l":"2471-285X","issn":["2471-285X"],"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 Emerging Topics in Computational Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3358727827","display_name":null,"funder_award_id":"61903003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5298571184","display_name":null,"funder_award_id":"2308085MF199","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G5857814331","display_name":null,"funder_award_id":"2008085QE227","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1520622896","https://openalex.org/W1553573873","https://openalex.org/W1589195638","https://openalex.org/W2000503034","https://openalex.org/W2011174137","https://openalex.org/W2012451526","https://openalex.org/W2022485595","https://openalex.org/W2025822274","https://openalex.org/W2049862811","https://openalex.org/W2055025427","https://openalex.org/W2103176750","https://openalex.org/W2105245738","https://openalex.org/W2111526171","https://openalex.org/W2128357515","https://openalex.org/W2143245714","https://openalex.org/W2192203593","https://openalex.org/W2312339748","https://openalex.org/W2343982975","https://openalex.org/W2474782555","https://openalex.org/W2559264474","https://openalex.org/W2605726844","https://openalex.org/W2679717297","https://openalex.org/W2729558485","https://openalex.org/W2729909848","https://openalex.org/W2743135143","https://openalex.org/W2764251381","https://openalex.org/W2783781089","https://openalex.org/W2785722638","https://openalex.org/W2863927645","https://openalex.org/W2886143841","https://openalex.org/W2891140334","https://openalex.org/W2911994132","https://openalex.org/W2945598123","https://openalex.org/W2953460162","https://openalex.org/W3004157659","https://openalex.org/W3092004910","https://openalex.org/W3120951225","https://openalex.org/W3135012704","https://openalex.org/W3194114164","https://openalex.org/W3201929238","https://openalex.org/W4213023965","https://openalex.org/W4226101459","https://openalex.org/W4239510810","https://openalex.org/W4282036839","https://openalex.org/W4285227776","https://openalex.org/W4297215761","https://openalex.org/W4304080732","https://openalex.org/W4312305725","https://openalex.org/W4312501469","https://openalex.org/W4317038489","https://openalex.org/W4319459161","https://openalex.org/W4361981113","https://openalex.org/W4362681522","https://openalex.org/W4367835742","https://openalex.org/W4383112906","https://openalex.org/W4385834605","https://openalex.org/W4385987986","https://openalex.org/W6603834347","https://openalex.org/W6630539822"],"related_works":["https://openalex.org/W4318426920","https://openalex.org/W2055791821","https://openalex.org/W2153873031","https://openalex.org/W570431388","https://openalex.org/W2637862190","https://openalex.org/W2611723089","https://openalex.org/W2337862504","https://openalex.org/W3082547637","https://openalex.org/W1994436307","https://openalex.org/W2164920121"],"abstract_inverted_index":{"Model":[0],"management":[1,44,64],"strategy":[2,65],"is":[3,66,192],"the":[4,21,75,85,94,101,116,122,127,132,141,148,152,157,171,176,180,189],"main":[5],"component":[6],"of":[7,33,110,140],"surrogate-assisted":[8],"evolutionary":[9],"algorithms":[10],"for":[11,39],"solving":[12],"expensive":[13],"multi-objective":[14],"optimization":[15],"problems(EMOPs).":[16],"In":[17,151],"such":[18],"problems,":[19],"evaluating":[20],"true":[22],"fitness":[23],"function":[24],"requires":[25],"significant":[26],"computational":[27],"resources,":[28],"which":[29,34],"necessitates":[30],"effective":[31],"determination":[32],"individuals":[35,119,139,174],"should":[36],"be":[37,145],"selected":[38,142],"evaluation.":[40],"However,":[41],"existing":[42],"model":[43,63],"strategies":[45],"often":[46],"struggle":[47],"to":[48,125,169,178],"effectively":[49],"balance":[50,126],"exploration":[51],"and":[52,82,91,131,163],"exploitation":[53],"when":[54],"selecting":[55],"individuals.":[56],"To":[57],"mitigate":[58],"this":[59],"issue,":[60],"a":[61,108],"bi-level":[62],"proposed.":[67],"The":[68,137],"selection":[69],"procedure":[70],"not":[71],"only":[72],"considers":[73,89],"exploring":[74],"objective":[76,102,129],"space":[77,103],"by":[78],"balancing":[79],"predicted":[80,128],"values":[81,130],"uncertainty":[83,133],"in":[84,93,134],"lower-level":[86,149,177],"but":[87],"also":[88],"convergence":[90],"diversity":[92],"upper-level":[95,153],"selection.":[96],"Specifically,":[97],"we":[98,114,155],"first":[99,117],"divide":[100],"into":[104],"some":[105,196],"sub-spaces":[106],"through":[107],"set":[109],"direction":[111],"vectors.":[112],"Then,":[113],"select":[115,170],"rank":[118],"via":[120],"adopting":[121],"non-dominated":[123],"sorting":[124],"each":[135],"subspace.":[136],"intersection":[138],"candidates":[143],"can":[144],"denoted":[146],"as":[147],"solutions.":[150],"selection,":[154],"combine":[156],"modified":[158],"inverted":[159],"generational":[160],"distance":[161],"(IGD$^+$)":[162],"shift-based":[164],"density":[165],"estimation":[166],"(SDE)":[167],"indicators":[168],"most":[172],"promising":[173],"from":[175],"update":[179],"model.":[181],"Experimental":[182],"results":[183],"on":[184],"benchmark":[185],"instances":[186],"show":[187],"that":[188],"proposed":[190],"algorithm":[191],"competitive":[193],"compared":[194],"with":[195],"representative":[197],"algorithms.":[198]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}