{"id":"https://openalex.org/W4378211969","doi":"https://doi.org/10.1007/s00500-023-08379-3","title":"The follower optimality cuts for mixed integer linear bilevel programming problems","display_name":"The follower optimality cuts for mixed integer linear bilevel programming problems","publication_year":2023,"publication_date":"2023-05-25","ids":{"openalex":"https://openalex.org/W4378211969","doi":"https://doi.org/10.1007/s00500-023-08379-3"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-023-08379-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-023-08379-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-023-08379-3.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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/s00500-023-08379-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035075962","display_name":"Sara Mattia","orcid":"https://orcid.org/0000-0001-5054-731X"},"institutions":[{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Sara Mattia","raw_affiliation_strings":["Consiglio Nazionale delle Ricerche, Istituto di Analisi dei Sistemi ed Informatica \u201cAntonio Ruberti\u201d, Via dei Taurini 19, 00185, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0001-5054-731X","affiliations":[{"raw_affiliation_string":"Consiglio Nazionale delle Ricerche, Istituto di Analisi dei Sistemi ed Informatica \u201cAntonio Ruberti\u201d, Via dei Taurini 19, 00185, Rome, Italy","institution_ids":["https://openalex.org/I4210162062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035075962"],"corresponding_institution_ids":["https://openalex.org/I4210162062"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.7589,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74675866,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"27","issue":"16","first_page":"11529","last_page":"11550"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9833999872207642,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9786999821662903,"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/bilevel-optimization","display_name":"Bilevel optimization","score":0.9233506917953491},{"id":"https://openalex.org/keywords/pessimism","display_name":"Pessimism","score":0.6974384784698486},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6775408983230591},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6458564400672913},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6093859076499939},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5904226899147034},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5809502601623535},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.559192955493927},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.42127349972724915},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.33225539326667786},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31859880685806274},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09228858351707458},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08851367235183716}],"concepts":[{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.9233506917953491},{"id":"https://openalex.org/C9992130","wikidata":"https://www.wikidata.org/wiki/Q484954","display_name":"Pessimism","level":2,"score":0.6974384784698486},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6775408983230591},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6458564400672913},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6093859076499939},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5904226899147034},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5809502601623535},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.559192955493927},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.42127349972724915},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.33225539326667786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31859880685806274},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09228858351707458},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08851367235183716},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-023-08379-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-023-08379-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-023-08379-3.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00500-023-08379-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-023-08379-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-023-08379-3.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4699999988079071}],"awards":[{"id":"https://openalex.org/G5278855384","display_name":null,"funder_award_id":"Progetti di ricerca 2020 (Ottimizzazione Bilivello) and Progetti di Ricerca 2022 (Ottimizzazione con Incertezza, CUP_E55F22000270001)","funder_id":"https://openalex.org/F4320333369","funder_display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni"}],"funders":[{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4378211969.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1481140196","https://openalex.org/W1588628884","https://openalex.org/W1964713924","https://openalex.org/W1971796369","https://openalex.org/W1974549991","https://openalex.org/W1975320652","https://openalex.org/W1987357293","https://openalex.org/W1990676004","https://openalex.org/W1996680903","https://openalex.org/W2023858465","https://openalex.org/W2029242918","https://openalex.org/W2031279008","https://openalex.org/W2044121814","https://openalex.org/W2062530151","https://openalex.org/W2069577676","https://openalex.org/W2080154522","https://openalex.org/W2100387313","https://openalex.org/W2105935934","https://openalex.org/W2124452917","https://openalex.org/W2138865117","https://openalex.org/W2162467101","https://openalex.org/W2165775468","https://openalex.org/W2206991147","https://openalex.org/W2254218369","https://openalex.org/W2481910659","https://openalex.org/W2605397371","https://openalex.org/W2739297732","https://openalex.org/W2756033884","https://openalex.org/W2785764032","https://openalex.org/W2796980109","https://openalex.org/W2804205549","https://openalex.org/W2951543070","https://openalex.org/W3038086788","https://openalex.org/W3091951114","https://openalex.org/W3157498319","https://openalex.org/W3176019095"],"related_works":["https://openalex.org/W3109055551","https://openalex.org/W2392236356","https://openalex.org/W2015124671","https://openalex.org/W2136118765","https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2061228544","https://openalex.org/W2374070196","https://openalex.org/W2082154838"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"study":[2],"linear":[3],"bilevel":[4,67],"programming":[5],"problems,":[6],"where":[7],"(some":[8],"of)":[9],"the":[10,13,24,27,30,50,71,75,88,96,105,108],"leader":[11],"and":[12,29,37,73,91,107,116],"follower":[14,51],"variables":[15],"are":[16,57],"restricted":[17],"to":[18,42,59],"be":[19,43],"integer.":[20],"A":[21,45],"discussion":[22],"on":[23],"relationships":[25],"between":[26],"optimistic":[28,72,106],"pessimistic":[31,76,109],"setting":[32],"is":[33,54,80,99],"presented,":[34],"providing":[35],"necessary":[36],"sufficient":[38],"conditions":[39],"for":[40,70,74,82,103],"them":[41],"equivalent.":[44],"new":[46],"class":[47],"of":[48,65,85,95],"inequalities,":[49,87],"optimality":[52],"cuts,":[53,90],"introduced.":[55],"They":[56],"used":[58],"derive":[60],"a":[61,66,83,92,113],"single-level":[62],"non-compact":[63],"reformulation":[64],"problem,":[68],"both":[69,104],"case.":[77],"The":[78],"same":[79],"done":[81],"family":[84],"known":[86],"no-good":[89],"polyhedral":[93],"comparison":[94],"related":[97],"formulations":[98],"carried":[100],"out.":[101],"Finally,":[102],"approach,":[110],"we":[111],"present":[112],"branch-and-cut":[114],"algorithm":[115],"discuss":[117],"computational":[118],"results.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}