{"id":"https://openalex.org/W2071707442","doi":"https://doi.org/10.1007/s10107-008-0259-0","title":"Multiobjective bilevel optimization","display_name":"Multiobjective bilevel optimization","publication_year":2008,"publication_date":"2008-12-18","ids":{"openalex":"https://openalex.org/W2071707442","doi":"https://doi.org/10.1007/s10107-008-0259-0","mag":"2071707442"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-008-0259-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-008-0259-0","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/A5020142332","display_name":"Gabriele Eichfelder","orcid":"https://orcid.org/0000-0002-1938-6316"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gabriele Eichfelder","raw_affiliation_strings":["Institute of Applied Mathematics, University of Erlangen-N\u00fcrnberg, Martensstr. 3, 91058, Erlangen, Germany","University of Erlangen-N\u00fcrnberg, Institute of Applied Mathematics, Martensstr. 3, 91058, Erlangen, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, University of Erlangen-N\u00fcrnberg, Martensstr. 3, 91058, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"University of Erlangen-N\u00fcrnberg, Institute of Applied Mathematics, Martensstr. 3, 91058, Erlangen, Germany#TAB#","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020142332"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.265,"has_fulltext":false,"cited_by_count":152,"citation_normalized_percentile":{"value":0.91767937,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"123","issue":"2","first_page":"419","last_page":"449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.996399998664856,"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":0.996399998664856,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9765999913215637,"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"}},{"id":"https://openalex.org/T10969","display_name":"Water resources management and optimization","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/bilevel-optimization","display_name":"Bilevel optimization","score":0.867969274520874},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7287929654121399},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6523359417915344},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6149616241455078},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5675948858261108},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5566989779472351},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.5112686157226562},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5042392015457153},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.46240928769111633},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4106563329696655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2636273503303528}],"concepts":[{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.867969274520874},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7287929654121399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6523359417915344},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6149616241455078},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5675948858261108},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5566989779472351},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.5112686157226562},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5042392015457153},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.46240928769111633},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4106563329696655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2636273503303528},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-008-0259-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-008-0259-0","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W22455350","https://openalex.org/W63727961","https://openalex.org/W91952509","https://openalex.org/W154816048","https://openalex.org/W1497055567","https://openalex.org/W1572204513","https://openalex.org/W1585268704","https://openalex.org/W1588628884","https://openalex.org/W1676470423","https://openalex.org/W1969872429","https://openalex.org/W1975320652","https://openalex.org/W1980432290","https://openalex.org/W1988390667","https://openalex.org/W1990676004","https://openalex.org/W1995053973","https://openalex.org/W2004336659","https://openalex.org/W2008499862","https://openalex.org/W2013038594","https://openalex.org/W2016969860","https://openalex.org/W2024008934","https://openalex.org/W2032761626","https://openalex.org/W2037534711","https://openalex.org/W2046533071","https://openalex.org/W2058192020","https://openalex.org/W2064823886","https://openalex.org/W2068275322","https://openalex.org/W2079868696","https://openalex.org/W2088076844","https://openalex.org/W2091687288","https://openalex.org/W2103752539","https://openalex.org/W2137248294","https://openalex.org/W2166028622","https://openalex.org/W2218983664","https://openalex.org/W2254218369","https://openalex.org/W2360084124","https://openalex.org/W2481910659","https://openalex.org/W2593781315","https://openalex.org/W2745324256","https://openalex.org/W2775748454","https://openalex.org/W2802620382","https://openalex.org/W3168557269","https://openalex.org/W3213963500","https://openalex.org/W4210890186","https://openalex.org/W4252722163","https://openalex.org/W4285194155","https://openalex.org/W4285719527","https://openalex.org/W4292864963"],"related_works":["https://openalex.org/W2890257643","https://openalex.org/W1495503294","https://openalex.org/W2161149697","https://openalex.org/W255338418","https://openalex.org/W2340378315","https://openalex.org/W2013038594","https://openalex.org/W1604175135","https://openalex.org/W3090200643","https://openalex.org/W2602322400","https://openalex.org/W1994436307"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":20},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":11}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2025-10-10T00:00:00"}