{"id":"https://openalex.org/W4404976319","doi":"https://doi.org/10.1007/s11590-024-02156-3","title":"On coupling constraints in linear bilevel optimization","display_name":"On coupling constraints in linear bilevel optimization","publication_year":2024,"publication_date":"2024-12-03","ids":{"openalex":"https://openalex.org/W4404976319","doi":"https://doi.org/10.1007/s11590-024-02156-3"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-024-02156-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-024-02156-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-024-02156-3.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11590-024-02156-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030771611","display_name":"Dorothee Henke","orcid":"https://orcid.org/0000-0001-9190-642X"},"institutions":[{"id":"https://openalex.org/I186354981","display_name":"University of Passau","ror":"https://ror.org/05ydjnb78","country_code":"DE","type":"education","lineage":["https://openalex.org/I186354981"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dorothee Henke","raw_affiliation_strings":["Chair of Business Decisions and Data Science, University of Passau, Passau, Germany"],"raw_orcid":"https://orcid.org/0000-0001-9190-642X","affiliations":[{"raw_affiliation_string":"Chair of Business Decisions and Data Science, University of Passau, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101671593","display_name":"Henri Lefebvre","orcid":"https://orcid.org/0009-0004-2914-9850"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Henri Lefebvre","raw_affiliation_strings":["Trier University, Department of Mathematics, Trier, Germany"],"raw_orcid":"https://orcid.org/0009-0004-2914-9850","affiliations":[{"raw_affiliation_string":"Trier University, Department of Mathematics, Trier, Germany","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002857019","display_name":"Martin Schmidt","orcid":"https://orcid.org/0000-0001-6208-5677"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Schmidt","raw_affiliation_strings":["Trier University, Department of Mathematics, Trier, Germany"],"raw_orcid":"https://orcid.org/0000-0001-6208-5677","affiliations":[{"raw_affiliation_string":"Trier University, Department of Mathematics, Trier, Germany","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060008266","display_name":"Johannes Th\u00fcrauf","orcid":"https://orcid.org/0000-0001-8516-6250"},"institutions":[{"id":"https://openalex.org/I4387153582","display_name":"University of Technology Nuremberg","ror":"https://ror.org/02sv65x64","country_code":null,"type":"education","lineage":["https://openalex.org/I4387153582"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Th\u00fcrauf","raw_affiliation_strings":["University of Technology Nuremberg (UTN), Department Liberal Arts and Sciences, Discrete Optimization Lab, Ulmenstra\u00dfe 52i, 90443 , Nuremberg, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8516-6250","affiliations":[{"raw_affiliation_string":"University of Technology Nuremberg (UTN), Department Liberal Arts and Sciences, Discrete Optimization Lab, Ulmenstra\u00dfe 52i, 90443 , Nuremberg, Germany","institution_ids":["https://openalex.org/I4387153582"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5030771611"],"corresponding_institution_ids":["https://openalex.org/I186354981"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.3828,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.84178965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"19","issue":"3","first_page":"689","last_page":"697"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9958000183105469,"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":0.9843999743461609,"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/bilevel-optimization","display_name":"Bilevel optimization","score":0.8668709993362427},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.7326568365097046},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5434097051620483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5105475187301636},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.508410632610321},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3564794659614563},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.32792869210243225},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28969305753707886},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.10324609279632568}],"concepts":[{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.8668709993362427},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7326568365097046},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5434097051620483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5105475187301636},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.508410632610321},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3564794659614563},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.32792869210243225},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28969305753707886},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.10324609279632568},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11590-024-02156-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-024-02156-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-024-02156-3.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},{"id":"pmh:oai:econstor.eu:10419/323571","is_oa":true,"landing_page_url":"https://hdl.handle.net/10419/323571","pdf_url":"https://www.econstor.eu/bitstream/10419/323571/1/11590_2024_Article_2156.pdf","source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null,"raw_type":"doc-type:article"}],"best_oa_location":{"id":"doi:10.1007/s11590-024-02156-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-024-02156-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-024-02156-3.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4452267154","display_name":null,"funder_award_id":"05M22UTB","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"}],"funders":[{"id":"https://openalex.org/F4320318419","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404976319.pdf"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W20876855","https://openalex.org/W1503428021","https://openalex.org/W1968859249","https://openalex.org/W1999553023","https://openalex.org/W2005629858","https://openalex.org/W2023858465","https://openalex.org/W2039564621","https://openalex.org/W2079104779","https://openalex.org/W2095818975","https://openalex.org/W2336243738","https://openalex.org/W2481910659","https://openalex.org/W3010376936","https://openalex.org/W3156469768","https://openalex.org/W4387641541"],"related_works":["https://openalex.org/W4318070895","https://openalex.org/W3157915181","https://openalex.org/W4401134013","https://openalex.org/W2896140431","https://openalex.org/W1536852012","https://openalex.org/W3015956618","https://openalex.org/W2920493340","https://openalex.org/W1994436307","https://openalex.org/W2795565301","https://openalex.org/W4285677055"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,18,26,50],"well-known":[3],"that":[4,98],"coupling":[5,22,36,86,94],"constraints":[6,37,95],"in":[7,60],"linear":[8,30,82],"bilevel":[9,31,83],"optimization":[10],"can":[11],"lead":[12],"to":[13,108],"disconnected":[14],"feasible":[15,64],"sets,":[16,65],"which":[17],"not":[19],"possible":[20],"without":[21,35,93],"constraints.":[23],"However,":[24],"there":[25,49],"no":[27],"difference":[28,53],"between":[29,54],"problems":[32,59],"with":[33,85],"and":[34,96],"w.r.t.":[38],"their":[39,63],"complexity-theoretical":[40],"hardness.":[41],"In":[42],"this":[43,77],"note,":[44],"we":[45,88],"prove":[46,97],"that,":[47],"although":[48],"a":[51,80,90],"clear":[52],"these":[55],"two":[56],"classes":[57,67],"of":[58,62,73],"terms":[61],"the":[66,71,101,109],"are":[68],"equivalent":[69],"on":[70],"level":[72],"optimal":[74,103],"solutions.":[75],"To":[76],"end,":[78],"given":[79],"general":[81],"problem":[84,92],"constraints,":[87],"derive":[89],"respective":[91],"it":[99],"has":[100],"same":[102],"solutions":[104],"(when":[105],"projected":[106],"back":[107],"original":[110],"variable":[111],"space).":[112]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}