{"id":"https://openalex.org/W4401578431","doi":"https://doi.org/10.1080/10556788.2024.2380688","title":"A neurodynamic approach for a class of pseudoconvex semivectorial bilevel optimization problems","display_name":"A neurodynamic approach for a class of pseudoconvex semivectorial bilevel optimization problems","publication_year":2024,"publication_date":"2024-08-14","ids":{"openalex":"https://openalex.org/W4401578431","doi":"https://doi.org/10.1080/10556788.2024.2380688"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2024.2380688","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2024.2380688","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/A5029410939","display_name":"Tran Ngoc Thang","orcid":null},"institutions":[{"id":"https://openalex.org/I94518387","display_name":"Hanoi University of Science and Technology","ror":"https://ror.org/04nyv3z04","country_code":"VN","type":"education","lineage":["https://openalex.org/I94518387"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Tran Ngoc Thang","raw_affiliation_strings":["Hanoi University of Science and Technology","Faculty of Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam","Center for Digital Technology and Economy (BK Fintech), Hanoi University of Science and Technology, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Hanoi University of Science and Technology","institution_ids":["https://openalex.org/I94518387"]},{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I94518387"]},{"raw_affiliation_string":"Center for Digital Technology and Economy (BK Fintech), Hanoi University of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I94518387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106506020","display_name":"Dao Minh Hoang","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]},{"id":"https://openalex.org/I4210148197","display_name":"Center for Systems Biology Dresden","ror":"https://ror.org/05hrn3e05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I149899117","https://openalex.org/I4210111875","https://openalex.org/I4210148197","https://openalex.org/I4210159854","https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dao Minh Hoang","raw_affiliation_strings":["Center for Systems Biology Dresden","Technische Universit\u00e4t Dresden","Center for Systems Biology Dresden, Dresden, Germany","Faculty of Computer Science, Technische Universit\u00e4t Dresden, Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Center for Systems Biology Dresden","institution_ids":["https://openalex.org/I4210148197"]},{"raw_affiliation_string":"Technische Universit\u00e4t Dresden","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Center for Systems Biology Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I4210148197"]},{"raw_affiliation_string":"Faculty of Computer Science, Technische Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101631393","display_name":"Nguy\u00ea\u00f1 Vi\u00eat D\u0169ng","orcid":"https://orcid.org/0000-0001-8777-5412"},"institutions":[{"id":"https://openalex.org/I94518387","display_name":"Hanoi University of Science and Technology","ror":"https://ror.org/04nyv3z04","country_code":"VN","type":"education","lineage":["https://openalex.org/I94518387"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Viet Dung","raw_affiliation_strings":["Hanoi University of Science and Technology","Faculty of Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam","Center for Digital Technology and Economy (BK Fintech), Hanoi University of Science and Technology, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Hanoi University of Science and Technology","institution_ids":["https://openalex.org/I94518387"]},{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I94518387"]},{"raw_affiliation_string":"Center for Digital Technology and Economy (BK Fintech), Hanoi University of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I94518387"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029410939"],"corresponding_institution_ids":["https://openalex.org/I94518387"],"apc_list":null,"apc_paid":null,"fwci":1.1413,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.8027761,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"40","issue":"1","first_page":"129","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9993000030517578,"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":0.9993000030517578,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12546","display_name":"Smart Parking Systems Research","score":0.9779999852180481,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quasiconvex-function","display_name":"Quasiconvex function","score":0.8692941665649414},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.8521301746368408},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7731643915176392},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7264293432235718},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.706567645072937},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5667487978935242},{"id":"https://openalex.org/keywords/pseudoconvex-function","display_name":"Pseudoconvex function","score":0.5653137564659119},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.551604151725769},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.5106022953987122},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4758712351322174},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.47152337431907654},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4602666199207306},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4238636791706085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2600480318069458},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.25389552116394043},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2226954996585846},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.15995338559150696},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1237444281578064}],"concepts":[{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.8692941665649414},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.8521301746368408},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7731643915176392},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7264293432235718},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.706567645072937},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5667487978935242},{"id":"https://openalex.org/C118888059","wikidata":"https://www.wikidata.org/wiki/Q7254692","display_name":"Pseudoconvex function","level":5,"score":0.5653137564659119},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.551604151725769},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.5106022953987122},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4758712351322174},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.47152337431907654},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4602666199207306},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4238636791706085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2600480318069458},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.25389552116394043},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2226954996585846},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.15995338559150696},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1237444281578064},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556788.2024.2380688","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2024.2380688","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W197642932","https://openalex.org/W207658221","https://openalex.org/W575123795","https://openalex.org/W1551360398","https://openalex.org/W1988753616","https://openalex.org/W1989822484","https://openalex.org/W1994412901","https://openalex.org/W2020896892","https://openalex.org/W2031264011","https://openalex.org/W2037554859","https://openalex.org/W2042943043","https://openalex.org/W2043454518","https://openalex.org/W2043678488","https://openalex.org/W2046204418","https://openalex.org/W2056304719","https://openalex.org/W2056831000","https://openalex.org/W2072581479","https://openalex.org/W2098696428","https://openalex.org/W2229094891","https://openalex.org/W2282262396","https://openalex.org/W2501549495","https://openalex.org/W2513146623","https://openalex.org/W2525064821","https://openalex.org/W2737047902","https://openalex.org/W2772807701","https://openalex.org/W2789369557","https://openalex.org/W2903265650","https://openalex.org/W2963589590","https://openalex.org/W2995990939","https://openalex.org/W3012034569","https://openalex.org/W3156469768","https://openalex.org/W3192651389","https://openalex.org/W4200558281","https://openalex.org/W4241229021","https://openalex.org/W4249840661","https://openalex.org/W4285819912","https://openalex.org/W4382462163","https://openalex.org/W4387967434"],"related_works":["https://openalex.org/W2023539147","https://openalex.org/W17249365","https://openalex.org/W2485727134","https://openalex.org/W2009186301","https://openalex.org/W2027766204","https://openalex.org/W2066180314","https://openalex.org/W136137658","https://openalex.org/W2008327517","https://openalex.org/W3124954675","https://openalex.org/W1580370112"],"abstract_inverted_index":{"The":[0,52,109],"article":[1],"proposes":[2],"an":[3],"exact":[4],"approach":[5],"to":[6,33,98,119],"finding":[7],"the":[8,19,28,67,71,84,90,94,106,121,124],"global":[9],"solution":[10,68],"of":[11,48,70,123],"a":[12,62],"nonconvex":[13],"semivectorial":[14],"bilevel":[15],"optimization":[16,59],"problem,":[17],"where":[18,66],"objective":[20],"functions":[21],"at":[22],"each":[23],"level":[24],"are":[25,30,103,117],"pseudoconvex,":[26],"and":[27,44,114],"constraints":[29],"quasiconvex.":[31],"Due":[32],"its":[34,49],"non-convexity,":[35],"this":[36],"problem":[37,73,86],"is":[38,54,74,87,96,112],"challenging,":[39],"but":[40],"it":[41],"attracts":[42],"more":[43,45],"interest":[46],"because":[47],"practical":[50],"applications.":[51],"algorithm":[53],"developed":[55],"based":[56],"on":[57],"monotonic":[58],"combined":[60],"with":[61],"recent":[63],"neurodynamic":[64,107],"approach,":[65],"set":[69],"lower-level":[72],"inner":[75],"approximated":[76],"by":[77],"copolyblocks":[78],"in":[79],"outcome":[80],"space.":[81],"From":[82],"that,":[83],"upper-level":[85],"solved":[88,104],"using":[89,105],"branch-and-bound":[91],"method.":[92,108],"Finding":[93],"bounds":[95],"converted":[97],"pseudoconvex":[99],"programming":[100],"problems,":[101],"which":[102],"algorithm's":[110],"convergence":[111],"proved,":[113],"computational":[115],"experiments":[116],"implemented":[118],"demonstrate":[120],"accuracy":[122],"proposed":[125],"approach.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}