{"id":"https://openalex.org/W4407361307","doi":"https://doi.org/10.1109/tcyb.2025.3531393","title":"Distributed Bilevel Constrained Optimization via Multiagent System Approaches","display_name":"Distributed Bilevel Constrained Optimization via Multiagent System Approaches","publication_year":2025,"publication_date":"2025-02-11","ids":{"openalex":"https://openalex.org/W4407361307","doi":"https://doi.org/10.1109/tcyb.2025.3531393","pmid":"https://pubmed.ncbi.nlm.nih.gov/40031609"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2025.3531393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3531393","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081555233","display_name":"Zicong Xia","orcid":"https://orcid.org/0000-0001-9943-5087"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zicong Xia","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-9943-5087","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Wenwu Yu","orcid":"https://orcid.org/0000-0003-0301-9180"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenwu Yu","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0301-9180","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100356160","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0003-3761-0104"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Liu","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China"],"raw_orcid":"https://orcid.org/0000-0003-3761-0104","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027725400","display_name":"Jinhu L\u00fc","orcid":"https://orcid.org/0000-0003-0275-8387"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhu L\u00fc","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-0275-8387","affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1255,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.91207677,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"55","issue":"4","first_page":"1825","last_page":"1837"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9462000131607056,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9462000131607056,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.8879610300064087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6679047346115112},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.6091150641441345},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.4549304246902466},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3686491847038269},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.21498611569404602},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1882426142692566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.10254204273223877},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09751439094543457}],"concepts":[{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.8879610300064087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6679047346115112},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.6091150641441345},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.4549304246902466},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3686491847038269},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.21498611569404602},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1882426142692566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10254204273223877},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09751439094543457}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2025.3531393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3531393","pdf_url":null,"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:40031609","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40031609","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}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G455596764","display_name":null,"funder_award_id":"623B2018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4949000581","display_name":null,"funder_award_id":"62073076","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6251120795","display_name":null,"funder_award_id":"2022ZD0120001","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7846504898","display_name":null,"funder_award_id":"62233004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8498166285","display_name":null,"funder_award_id":"62173308","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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1516681311","https://openalex.org/W1968094122","https://openalex.org/W2044212084","https://openalex.org/W2048223470","https://openalex.org/W2048723778","https://openalex.org/W2056226204","https://openalex.org/W2079104779","https://openalex.org/W2124659975","https://openalex.org/W2132450099","https://openalex.org/W2164642931","https://openalex.org/W2273484141","https://openalex.org/W2337630772","https://openalex.org/W2341544006","https://openalex.org/W2485636667","https://openalex.org/W2515014135","https://openalex.org/W2584604366","https://openalex.org/W2744910090","https://openalex.org/W2765383110","https://openalex.org/W2766228189","https://openalex.org/W2767760906","https://openalex.org/W2793411223","https://openalex.org/W2914412030","https://openalex.org/W2917796591","https://openalex.org/W2921807926","https://openalex.org/W2969933444","https://openalex.org/W2986487687","https://openalex.org/W3010829930","https://openalex.org/W3026718356","https://openalex.org/W3043230038","https://openalex.org/W3094958980","https://openalex.org/W3102274955","https://openalex.org/W3128815919","https://openalex.org/W3155912714","https://openalex.org/W3156452281","https://openalex.org/W3156469768","https://openalex.org/W3198532493","https://openalex.org/W3203516445","https://openalex.org/W4205805594","https://openalex.org/W4206008362","https://openalex.org/W4280643353","https://openalex.org/W4285132117","https://openalex.org/W4285146671","https://openalex.org/W4299439662","https://openalex.org/W4317038588","https://openalex.org/W4320018417","https://openalex.org/W4321780156","https://openalex.org/W4384819646","https://openalex.org/W4388240247","https://openalex.org/W4389584435","https://openalex.org/W4394564138","https://openalex.org/W4398187676","https://openalex.org/W4405231944","https://openalex.org/W6748676082","https://openalex.org/W6751797489"],"related_works":["https://openalex.org/W4318070895","https://openalex.org/W3157915181","https://openalex.org/W4401134013","https://openalex.org/W2896140431","https://openalex.org/W1536852012","https://openalex.org/W3015956618","https://openalex.org/W1994436307","https://openalex.org/W2920493340","https://openalex.org/W2071082401","https://openalex.org/W1989923016"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"two":[3,116],"types":[4],"of":[5,19,33,89,140],"multiagent":[6],"systems":[7],"(MASs)":[8],"are":[9,44,103,124],"developed":[10],"for":[11,46],"distributed":[12,21,86],"bilevel":[13,22,92],"constrained":[14],"optimization.":[15],"Within":[16],"the":[17,20,25,48,85,90,110,130,141],"framework":[18],"optimization":[23,93],"modeling,":[24],"objective":[26,35,50],"function":[27],"is":[28,64,74],"in":[29],"a":[30,41],"summation":[31],"manner":[32],"local":[34,49,78],"functions.":[36],"Multiple":[37],"agents":[38],"connected":[39],"via":[40],"communication":[42,135],"network":[43],"harnessed":[45],"optimizing":[47],"functions":[51],"cooperatively":[52],"while":[53],"adhering":[54],"to":[55,76,107,109,126,134],"coupled":[56],"constraints":[57],"with":[58,66],"global":[59],"information,":[60],"and":[61,72,95,100,105,119,128,137],"each":[62],"agent":[63],"tasked":[65],"solving":[67],"an":[68,120],"individual":[69],"inner":[70],"problem":[71,123],"it":[73],"subject":[75],"multiple":[77,96],"constraints.":[79],"To":[80],"address":[81],"challenges":[82],"posed":[83],"by":[84],"computation":[87],"requirement":[88],"proposed":[91,142],"models":[94],"complex":[97],"constraints,":[98],"first":[99],"second-order":[101],"MASs":[102],"customized":[104],"proven":[106],"converge":[108],"optimal":[111],"solution.":[112],"Three":[113],"examples":[114],"involving":[115],"numerical":[117],"simulations":[118],"economic":[121],"dispatch":[122],"elaborated":[125],"verify":[127],"demonstrate":[129],"optimality,":[131],"enhanced":[132],"robustness":[133],"blocking,":[136],"fast":[138],"convergence":[139],"approaches.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2025-10-10T00:00:00"}