{"id":"https://openalex.org/W2584709508","doi":"https://doi.org/10.1007/s10957-017-1069-4","title":"Finding Robust Global Optimal Values of Bilevel Polynomial Programs with Uncertain Linear Constraints","display_name":"Finding Robust Global Optimal Values of Bilevel Polynomial Programs with Uncertain Linear Constraints","publication_year":2017,"publication_date":"2017-02-02","ids":{"openalex":"https://openalex.org/W2584709508","doi":"https://doi.org/10.1007/s10957-017-1069-4","mag":"2584709508"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-017-1069-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-017-1069-4","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1959.4/unsworks_43079","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024668916","display_name":"Th\u00e1i Do\u00e3n Ch\u01b0\u01a1ng","orcid":"https://orcid.org/0000-0003-0893-5604"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"T. D. Chuong","raw_affiliation_strings":["School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, 2052, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026027785","display_name":"V. Jeyakumar","orcid":"https://orcid.org/0000-0003-0267-7800"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"V. Jeyakumar","raw_affiliation_strings":["School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, 2052, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024668916"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5376,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.70279432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"173","issue":"2","first_page":"683","last_page":"703"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9990000128746033,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9837999939918518,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/semidefinite-programming","display_name":"Semidefinite programming","score":0.7361820936203003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6824710369110107},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.651410698890686},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6503878831863403},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.6356940865516663},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5502930283546448},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.45999395847320557},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.43978846073150635},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.423861563205719},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3427756428718567},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.32594534754753113},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.2888740301132202},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06834354996681213}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7361820936203003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6824710369110107},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.651410698890686},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6503878831863403},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.6356940865516663},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5502930283546448},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.45999395847320557},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.43978846073150635},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.423861563205719},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3427756428718567},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.32594534754753113},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2888740301132202},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06834354996681213},{"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:10.1007/s10957-017-1069-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-017-1069-4","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:173:y:2017:i:2:d:10.1007_s10957-017-1069-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-017-1069-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:unsworks.library.unsw.edu.au:1959.4/unsworks_43079","is_oa":true,"landing_page_url":"http://hdl.handle.net/1959.4/unsworks_43079","pdf_url":null,"source":{"id":"https://openalex.org/S4306401737","display_name":"UNSWorks (University of New South Wales, Sydney, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40053085","host_organization_name":"Australian Defence Force Academy","host_organization_lineage":["https://openalex.org/I40053085"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Optimization Theory and Applications, 173, 2, 683-703","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:unsworks.unsw.edu.au:1959.4/unsworks_43079","is_oa":false,"landing_page_url":"http://link.springer.com/article/10.1007/s10957-017-1069-4","pdf_url":null,"source":{"id":"https://openalex.org/S4377196481","display_name":"UNSWorks (UNSW Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31746571","host_organization_name":"UNSW Sydney","host_organization_lineage":["https://openalex.org/I31746571"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:unsworks.library.unsw.edu.au:1959.4/unsworks_43079","is_oa":true,"landing_page_url":"http://hdl.handle.net/1959.4/unsworks_43079","pdf_url":null,"source":{"id":"https://openalex.org/S4306401737","display_name":"UNSWorks (University of New South Wales, Sydney, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40053085","host_organization_name":"Australian Defence Force Academy","host_organization_lineage":["https://openalex.org/I40053085"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Optimization Theory and Applications, 173, 2, 683-703","raw_type":"http://purl.org/coar/resource_type/c_6501"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320965","display_name":"University of New South Wales","ror":"https://ror.org/03r8z3t63"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W91952509","https://openalex.org/W187488500","https://openalex.org/W1196354647","https://openalex.org/W1559171183","https://openalex.org/W1559197676","https://openalex.org/W1588628884","https://openalex.org/W1676470423","https://openalex.org/W1969962394","https://openalex.org/W1993400404","https://openalex.org/W2006093909","https://openalex.org/W2037887312","https://openalex.org/W2038063781","https://openalex.org/W2044241503","https://openalex.org/W2052822438","https://openalex.org/W2071940220","https://openalex.org/W2080474145","https://openalex.org/W2089326092","https://openalex.org/W2095818975","https://openalex.org/W2124659975","https://openalex.org/W2131116400","https://openalex.org/W2140496876","https://openalex.org/W2140748229","https://openalex.org/W2195665680","https://openalex.org/W2247451106","https://openalex.org/W2416516526","https://openalex.org/W2481910659","https://openalex.org/W2499145065","https://openalex.org/W2536620281","https://openalex.org/W2551542357","https://openalex.org/W4255442211"],"related_works":["https://openalex.org/W2119826439","https://openalex.org/W2077244021","https://openalex.org/W1911224600","https://openalex.org/W2117554875","https://openalex.org/W2372227578","https://openalex.org/W2059909660","https://openalex.org/W2050084832","https://openalex.org/W2584709508","https://openalex.org/W1588473452","https://openalex.org/W2752409908"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2017-02-10T00:00:00"}
