{"id":"https://openalex.org/W428209777","doi":"https://doi.org/10.1007/978-3-319-17996-4_1","title":"A Cutting Plane Approach for Solving Linear Bilevel Programming Problems","display_name":"A Cutting Plane Approach for Solving Linear Bilevel Programming Problems","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W428209777","doi":"https://doi.org/10.1007/978-3-319-17996-4_1","mag":"428209777"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-17996-4_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-17996-4_1","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5026590322","display_name":"Almas Jahanshahloo","orcid":null},"institutions":[{"id":"https://openalex.org/I204588832","display_name":"Islamic Azad University, Karaj","ror":"https://ror.org/01y4xm534","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I204588832"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Almas Jahanshahloo","raw_affiliation_strings":["Department of Mathematics, Karaj Branch, Islamic Azad University, Alborz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karaj Branch, Islamic Azad University, Alborz, Iran","institution_ids":["https://openalex.org/I204588832"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056334383","display_name":"Majid Zohrehbandian","orcid":"https://orcid.org/0000-0002-5211-2413"},"institutions":[{"id":"https://openalex.org/I204588832","display_name":"Islamic Azad University, Karaj","ror":"https://ror.org/01y4xm534","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I204588832"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Majid Zohrehbandian","raw_affiliation_strings":["Department of Mathematics, Karaj Branch, Islamic Azad University, Alborz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karaj Branch, Islamic Azad University, Alborz, Iran","institution_ids":["https://openalex.org/I204588832"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026590322"],"corresponding_institution_ids":["https://openalex.org/I204588832"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01705804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9983000159263611,"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":0.9983000159263611,"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":0.9976999759674072,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9940000176429749,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.8692721724510193},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.7563707232475281},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7134429216384888},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.633230447769165},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5962857604026794},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5378197431564331},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5199533700942993},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.48882052302360535},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4684351086616516},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44975417852401733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39972469210624695},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.24924537539482117},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06684967875480652}],"concepts":[{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.8692721724510193},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.7563707232475281},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7134429216384888},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.633230447769165},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5962857604026794},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5378197431564331},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5199533700942993},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.48882052302360535},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4684351086616516},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44975417852401733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39972469210624695},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.24924537539482117},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06684967875480652},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-17996-4_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-17996-4_1","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W568537268","https://openalex.org/W1588628884","https://openalex.org/W1968480319","https://openalex.org/W1968610601","https://openalex.org/W1968859249","https://openalex.org/W1975320652","https://openalex.org/W1983644172","https://openalex.org/W1985270863","https://openalex.org/W1988507758","https://openalex.org/W1994436307","https://openalex.org/W1999370759","https://openalex.org/W2008308037","https://openalex.org/W2014211093","https://openalex.org/W2014457744","https://openalex.org/W2024014345","https://openalex.org/W2026307662","https://openalex.org/W2031264011","https://openalex.org/W2032087379","https://openalex.org/W2037904604","https://openalex.org/W2044241503","https://openalex.org/W2045287690","https://openalex.org/W2050120386","https://openalex.org/W2052822438","https://openalex.org/W2053072311","https://openalex.org/W2058401669","https://openalex.org/W2058854120","https://openalex.org/W2061233843","https://openalex.org/W2070616848","https://openalex.org/W2070773583","https://openalex.org/W2071707442","https://openalex.org/W2072061819","https://openalex.org/W2074376561","https://openalex.org/W2078101422","https://openalex.org/W2078725149","https://openalex.org/W2078978921","https://openalex.org/W2079104779","https://openalex.org/W2079252788","https://openalex.org/W2081389740","https://openalex.org/W2087292940","https://openalex.org/W2090411045","https://openalex.org/W2092446498","https://openalex.org/W2092586457","https://openalex.org/W2096126893","https://openalex.org/W2100668962","https://openalex.org/W2102686659","https://openalex.org/W2105111839","https://openalex.org/W2117305228","https://openalex.org/W2120257557","https://openalex.org/W2124659975","https://openalex.org/W2127810966","https://openalex.org/W2128492082","https://openalex.org/W2131140226","https://openalex.org/W2134347795","https://openalex.org/W2136118765","https://openalex.org/W2136449272","https://openalex.org/W2140145913","https://openalex.org/W2143263354","https://openalex.org/W2162139773","https://openalex.org/W2170756749","https://openalex.org/W2481910659","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2392236356","https://openalex.org/W2015124671","https://openalex.org/W2136118765","https://openalex.org/W2363414825","https://openalex.org/W2061228544","https://openalex.org/W2890257643","https://openalex.org/W2374070196","https://openalex.org/W1495503294","https://openalex.org/W3126901467","https://openalex.org/W2371017651"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-01-14T23:40:02.550235","created_date":"2025-10-10T00:00:00"}