{"id":"https://openalex.org/W2968840856","doi":"https://doi.org/10.1007/s10898-024-01422-z","title":"Near-optimal robust bilevel optimization","display_name":"Near-optimal robust bilevel optimization","publication_year":2019,"publication_date":"2019-08-12","ids":{"openalex":"https://openalex.org/W2968840856","doi":"https://doi.org/10.1007/s10898-024-01422-z","mag":"2968840856"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1908.04040","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.04040","pdf_url":"https://arxiv.org/pdf/1908.04040","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"type":"preprint","indexed_in":["arxiv"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1908.04040","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071995361","display_name":"Mathieu Besan\u00e7on","orcid":"https://orcid.org/0000-0002-6284-3033"},"institutions":[{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["CA","FR"],"is_corresponding":false,"raw_author_name":"Besan\u00e7on, Mathieu","raw_affiliation_strings":["Centrale Lille (\u00c9cole Centrale de Lille - Cit\u00e9 Scientifique - CS 20048 59651 Villeneuve d'Ascq Cedex - France)","EPM - \u00c9cole Polytechnique de Montr\u00e9al (Campus de l'Universit\u00e9 de Montr\u00e9al - 2500, chemin de Polytechnique - Montr\u00e9al (Qu\u00e9bec) H3T 1J4 - Canada)","INOCS - Integrated Optimization with Complex Structure (France)","Inria Lille - Nord Europe (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centrale Lille (\u00c9cole Centrale de Lille - Cit\u00e9 Scientifique - CS 20048 59651 Villeneuve d'Ascq Cedex - France)","institution_ids":["https://openalex.org/I7454413"]},{"raw_affiliation_string":"EPM - \u00c9cole Polytechnique de Montr\u00e9al (Campus de l'Universit\u00e9 de Montr\u00e9al - 2500, chemin de Polytechnique - Montr\u00e9al (Qu\u00e9bec) H3T 1J4 - Canada)","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"INOCS - Integrated Optimization with Complex Structure (France)","institution_ids":[]},{"raw_affiliation_string":"Inria Lille - Nord Europe (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)","institution_ids":["https://openalex.org/I4210138412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005540131","display_name":"Miguel F. Anjos","orcid":"https://orcid.org/0000-0002-8258-9116"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]},{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["CA","GB"],"is_corresponding":false,"raw_author_name":"Anjos, Miguel,","raw_affiliation_strings":["EPM - \u00c9cole Polytechnique de Montr\u00e9al (Campus de l'Universit\u00e9 de Montr\u00e9al - 2500, chemin de Polytechnique - Montr\u00e9al (Qu\u00e9bec) H3T 1J4 - Canada)","School of Mathematics - University of Edinburgh (University of Edinburgh Edinburgh EH9 3JZ, UK - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPM - \u00c9cole Polytechnique de Montr\u00e9al (Campus de l'Universit\u00e9 de Montr\u00e9al - 2500, chemin de Polytechnique - Montr\u00e9al (Qu\u00e9bec) H3T 1J4 - Canada)","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"School of Mathematics - University of Edinburgh (University of Edinburgh Edinburgh EH9 3JZ, UK - United Kingdom)","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021711974","display_name":"Luce Brotcorne","orcid":"https://orcid.org/0000-0002-0906-7709"},"institutions":[{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Brotcorne, Luce","raw_affiliation_strings":["INOCS - Integrated Optimization with Complex Structure (France)","Inria Lille - Nord Europe (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INOCS - Integrated Optimization with Complex Structure (France)","institution_ids":[]},{"raw_affiliation_string":"Inria Lille - Nord Europe (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)","institution_ids":["https://openalex.org/I4210138412"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9948999881744385,"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":0.9948999881744385,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9940000176429749,"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/T10969","display_name":"Water resources management and optimization","score":0.9909999966621399,"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":0.9285120964050293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5142979025840759},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.49770262837409973},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4603976309299469},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.35113221406936646},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3258827030658722},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.277734637260437}],"concepts":[{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.9285120964050293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5142979025840759},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.49770262837409973},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4603976309299469},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.35113221406936646},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3258827030658722},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.277734637260437}],"mesh":[],"locations_count":7,"locations":[{"id":"pmh:oai:arXiv.org:1908.04040","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.04040","pdf_url":"https://arxiv.org/pdf/1908.04040","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:pure.ed.ac.uk:publications/60b01f0d-0a95-4301-8a17-953a6aa0be8a","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/files/458062336/article.pdf","pdf_url":"https://www.research.ed.ac.uk/files/458062336/article.pdf","source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Besan\u00e7on, M, Anjos, M F & Brotcorne, L 2024, 'Robust Bilevel Optimization for Near-Optimal Lower-Level Solutions', Journal of Global Optimization, vol. 90, pp. 813-842. https://doi.org/10.1007/s10898-024-01422-z","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:HAL:hal-02414848v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02414848","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02414848","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-02414848v2","is_oa":true,"landing_page_url":"https://hal.science/hal-02414848","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2019","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/22053","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/22053","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/workingPaper"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/57202","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/57202","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/workingPaper"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/60b01f0d-0a95-4301-8a17-953a6aa0be8a","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/60b01f0d-0a95-4301-8a17-953a6aa0be8a","pdf_url":null,"source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Besan\u00e7on, M, Anjos, M F & Brotcorne, L 2024, 'Robust Bilevel Optimization for Near-Optimal Lower-Level Solutions', Journal of Global Optimization, vol. 90, pp. 813-842. https://doi.org/10.1007/s10898-024-01422-z","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1908.04040","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.04040","pdf_url":"https://arxiv.org/pdf/1908.04040","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W141031297","https://openalex.org/W1588628884","https://openalex.org/W1965897919","https://openalex.org/W1966205829","https://openalex.org/W1974549991","https://openalex.org/W1977649329","https://openalex.org/W2037054598","https://openalex.org/W2037678919","https://openalex.org/W2039551591","https://openalex.org/W2043339930","https://openalex.org/W2066111511","https://openalex.org/W2102529199","https://openalex.org/W2120575449","https://openalex.org/W2131116400","https://openalex.org/W2140496876","https://openalex.org/W2163969905","https://openalex.org/W2164945937","https://openalex.org/W2168092276","https://openalex.org/W2234594789","https://openalex.org/W2745660793","https://openalex.org/W2888211270","https://openalex.org/W2915825623","https://openalex.org/W2947038327","https://openalex.org/W2950961269","https://openalex.org/W2963920200","https://openalex.org/W3004731441","https://openalex.org/W3038794973","https://openalex.org/W3105558219","https://openalex.org/W3149294242"],"related_works":["https://openalex.org/W4318070895","https://openalex.org/W3157915181","https://openalex.org/W2896140431","https://openalex.org/W3161399930","https://openalex.org/W3149055374","https://openalex.org/W2216231335","https://openalex.org/W1994436307","https://openalex.org/W2795565301","https://openalex.org/W4285677055","https://openalex.org/W2602322400"],"abstract_inverted_index":{"Bilevel":[0],"optimization":[1,14,61],"problems":[2],"embed":[3],"the":[4,18,27,35,39,48,70,76,79,87,95,101],"optimality":[5],"of":[6,12,20,50,58,89,97],"a":[7,10],"subproblem":[8],"as":[9],"constraint":[11],"another":[13],"problem.":[15],"We":[16],"introduce":[17],"concept":[19],"near-optimality":[21],"robustness":[22],"for":[23,47,54],"bilevel":[24,60,82],"optimization,":[25],"protecting":[26],"upper-level":[28],"solution":[29,37,65,102],"feasibility":[30],"from":[31,34,78],"limited":[32],"deviations":[33],"optimal":[36],"at":[38],"lower":[40,71],"level.":[41],"General":[42],"properties":[43],"and":[44,81,91,94],"necessary":[45],"conditions":[46],"existence":[49],"solutions":[51],"are":[52],"derived":[53],"near-optimal":[55],"robust":[56,80],"versions":[57],"general":[59],"problems.":[62],"A":[63],"duality-based":[64],"method":[66],"is":[67,73],"defined":[68],"when":[69],"level":[72],"convex,":[74],"leveraging":[75],"methodology":[77],"literature.":[83],"Numerical":[84],"results":[85],"assess":[86],"efficiency":[88],"exact":[90],"heuristic":[92],"methods":[93],"impact":[96],"valid":[98],"inequalities":[99],"on":[100],"time.":[103]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-29T07:29:34.045763","created_date":"2019-08-22T00:00:00"}
