{"id":"https://openalex.org/W2070773583","doi":"https://doi.org/10.1007/s10107-012-0591-2","title":"Nonlinear robust optimization via sequential convex bilevel programming","display_name":"Nonlinear robust optimization via sequential convex bilevel programming","publication_year":2012,"publication_date":"2012-09-15","ids":{"openalex":"https://openalex.org/W2070773583","doi":"https://doi.org/10.1007/s10107-012-0591-2","mag":"2070773583"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-012-0591-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-012-0591-2","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5050485888","display_name":"Boris Houska","orcid":"https://orcid.org/0000-0002-6761-239X"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Boris Houska","raw_affiliation_strings":["Optimization in Engineering Center (OPTEC), K. U. Leuven, Kasteelpark Arenberg 10, 3001 , Leuven-Heverlee, Belgium","Optimization in Engineering Center (OPTEC), Leuven-Heverlee, Belgium 3001#TAB#"],"affiliations":[{"raw_affiliation_string":"Optimization in Engineering Center (OPTEC), K. U. Leuven, Kasteelpark Arenberg 10, 3001 , Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Optimization in Engineering Center (OPTEC), Leuven-Heverlee, Belgium 3001#TAB#","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057375078","display_name":"Moritz Diehl","orcid":"https://orcid.org/0000-0001-6556-8252"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Moritz Diehl","raw_affiliation_strings":["Optimization in Engineering Center (OPTEC), K. U. Leuven, Kasteelpark Arenberg 10, 3001 , Leuven-Heverlee, Belgium","Optimization in Engineering Center (OPTEC), Leuven-Heverlee, Belgium 3001#TAB#"],"affiliations":[{"raw_affiliation_string":"Optimization in Engineering Center (OPTEC), K. U. Leuven, Kasteelpark Arenberg 10, 3001 , Leuven-Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Optimization in Engineering Center (OPTEC), Leuven-Heverlee, Belgium 3001#TAB#","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050485888"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3947,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.82044343,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"142","issue":"1-2","first_page":"539","last_page":"577"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9811999797821045,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9670000076293945,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7315708994865417},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.707759439945221},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.6547893285751343},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.6543664932250977},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.5983052849769592},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.5518010854721069},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5451717376708984},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46646153926849365},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4595659077167511},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.43974125385284424},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.43037787079811096},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4294188618659973},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.42465639114379883},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4197829067707062},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3431643545627594}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7315708994865417},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.707759439945221},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.6547893285751343},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.6543664932250977},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.5983052849769592},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.5518010854721069},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5451717376708984},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46646153926849365},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4595659077167511},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.43974125385284424},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.43037787079811096},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4294188618659973},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.42465639114379883},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4197829067707062},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3431643545627594},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-012-0591-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-012-0591-2","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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":69,"referenced_works":["https://openalex.org/W1264261","https://openalex.org/W8821478","https://openalex.org/W19186523","https://openalex.org/W41686486","https://openalex.org/W134281200","https://openalex.org/W145191360","https://openalex.org/W147998453","https://openalex.org/W171437468","https://openalex.org/W177890044","https://openalex.org/W187928793","https://openalex.org/W402691944","https://openalex.org/W568537268","https://openalex.org/W596609482","https://openalex.org/W1485010949","https://openalex.org/W1498635961","https://openalex.org/W1527408845","https://openalex.org/W1573176827","https://openalex.org/W1580352598","https://openalex.org/W1676470423","https://openalex.org/W1832190644","https://openalex.org/W1964794414","https://openalex.org/W1966607098","https://openalex.org/W1967842749","https://openalex.org/W1968517208","https://openalex.org/W1973963981","https://openalex.org/W1975662748","https://openalex.org/W1977164425","https://openalex.org/W1978797771","https://openalex.org/W1991334712","https://openalex.org/W1993192928","https://openalex.org/W1993647205","https://openalex.org/W1995285162","https://openalex.org/W1995724712","https://openalex.org/W2005121819","https://openalex.org/W2011338916","https://openalex.org/W2013683432","https://openalex.org/W2029498588","https://openalex.org/W2029877964","https://openalex.org/W2033745948","https://openalex.org/W2035238076","https://openalex.org/W2037678919","https://openalex.org/W2038589630","https://openalex.org/W2039132125","https://openalex.org/W2039659576","https://openalex.org/W2045611427","https://openalex.org/W2048679451","https://openalex.org/W2052585066","https://openalex.org/W2067100964","https://openalex.org/W2070513764","https://openalex.org/W2071439977","https://openalex.org/W2073433386","https://openalex.org/W2075887074","https://openalex.org/W2085841101","https://openalex.org/W2085919628","https://openalex.org/W2089105401","https://openalex.org/W2093670428","https://openalex.org/W2117762915","https://openalex.org/W2148239522","https://openalex.org/W2154904851","https://openalex.org/W2155677404","https://openalex.org/W2171126500","https://openalex.org/W2527781137","https://openalex.org/W2607928667","https://openalex.org/W2894871027","https://openalex.org/W2898916015","https://openalex.org/W3029645440","https://openalex.org/W3034208633","https://openalex.org/W4214631981","https://openalex.org/W4246495354"],"related_works":["https://openalex.org/W3149055374","https://openalex.org/W2216231335","https://openalex.org/W3161399930","https://openalex.org/W3121664024","https://openalex.org/W2003631549","https://openalex.org/W175006096","https://openalex.org/W2602322400","https://openalex.org/W4310823612","https://openalex.org/W2180949474","https://openalex.org/W2026665790"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}