{"id":"https://openalex.org/W2910641155","doi":"https://doi.org/10.1007/s11590-018-01382-w","title":"Location of a conservative hyperplane for cutting plane methods in disjoint bilinear programming","display_name":"Location of a conservative hyperplane for cutting plane methods in disjoint bilinear programming","publication_year":2019,"publication_date":"2019-01-18","ids":{"openalex":"https://openalex.org/W2910641155","doi":"https://doi.org/10.1007/s11590-018-01382-w","mag":"2910641155"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-018-01382-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-018-01382-w","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100329931","display_name":"Xi Chen","orcid":"https://orcid.org/0000-0002-3135-4114"},"institutions":[{"id":"https://openalex.org/I109173049","display_name":"Beijing Foreign Studies University","ror":"https://ror.org/00jdr0662","country_code":"CN","type":"education","lineage":["https://openalex.org/I109173049"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xi Chen","raw_affiliation_strings":["International Business School, Beijing Foreign Studies University, Beijing, 100089, People\u2019s Republic of China","International Business School, Beijing Foreign Studies University, Beijing, 100089, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Business School, Beijing Foreign Studies University, Beijing, 100089, People\u2019s Republic of China","institution_ids":["https://openalex.org/I109173049"]},{"raw_affiliation_string":"International Business School, Beijing Foreign Studies University, Beijing, 100089, People's Republic of China","institution_ids":["https://openalex.org/I109173049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101872030","display_name":"Jihong Zhang","orcid":"https://orcid.org/0000-0002-8571-8104"},"institutions":[{"id":"https://openalex.org/I109173049","display_name":"Beijing Foreign Studies University","ror":"https://ror.org/00jdr0662","country_code":"CN","type":"education","lineage":["https://openalex.org/I109173049"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji-hong Zhang","raw_affiliation_strings":["International Business School, Beijing Foreign Studies University, Beijing, 100089, People\u2019s Republic of China","International Business School, Beijing Foreign Studies University, Beijing, 100089, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Business School, Beijing Foreign Studies University, Beijing, 100089, People\u2019s Republic of China","institution_ids":["https://openalex.org/I109173049"]},{"raw_affiliation_string":"International Business School, Beijing Foreign Studies University, Beijing, 100089, People's Republic of China","institution_ids":["https://openalex.org/I109173049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108567285","display_name":"Xiaosong Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I109173049","display_name":"Beijing Foreign Studies University","ror":"https://ror.org/00jdr0662","country_code":"CN","type":"education","lineage":["https://openalex.org/I109173049"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao-song Ding","raw_affiliation_strings":["International Business School, Beijing Foreign Studies University, Beijing, 100089, People\u2019s Republic of China","International Business School, Beijing Foreign Studies University, Beijing, 100089, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Business School, Beijing Foreign Studies University, Beijing, 100089, People\u2019s Republic of China","institution_ids":["https://openalex.org/I109173049"]},{"raw_affiliation_string":"International Business School, Beijing Foreign Studies University, Beijing, 100089, People's Republic of China","institution_ids":["https://openalex.org/I109173049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091665087","display_name":"Tian Yang","orcid":"https://orcid.org/0000-0002-7254-2584"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tian Yang","raw_affiliation_strings":["School of Computer Science and Technology, Beijing Institute of Technology, Beijing, 100081, People\u2019s Republic of China","School of Computer Science and Technology, Beijing Institute of Technology, Beijing, 100081, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Beijing Institute of Technology, Beijing, 100081, People\u2019s Republic of China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"School of Computer Science and Technology, Beijing Institute of Technology, Beijing, 100081, People's Republic of China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jing-yi Qian","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing-yi Qian","raw_affiliation_strings":["High School Affiliated to Shanghai Jiao Tong University, Shanghai, 201821, People\u2019s Republic of China","High School Affiliated to Shanghai Jiao Tong University, Shanghai, 201821, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"High School Affiliated to Shanghai Jiao Tong University, Shanghai, 201821, People\u2019s Republic of China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"High School Affiliated to Shanghai Jiao Tong University, Shanghai, 201821, People's Republic of China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108567285"],"corresponding_institution_ids":["https://openalex.org/I109173049"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.00797316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"13","issue":"7","first_page":"1677","last_page":"1692"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9976000189781189,"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":0.9957000017166138,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.7260659337043762},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7148405313491821},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.6082096099853516},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5997582674026489},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.5554608702659607},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5328875780105591},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.507604718208313},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5009176731109619},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4786606729030609},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.47039684653282166},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.45532679557800293},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45131754875183105},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4423756003379822},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4294520318508148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39321139454841614},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.31308412551879883},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.19040027260780334},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14128455519676208},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13708052039146423},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10722777247428894},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.07252949476242065}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7260659337043762},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7148405313491821},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.6082096099853516},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5997582674026489},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.5554608702659607},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5328875780105591},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.507604718208313},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5009176731109619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4786606729030609},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.47039684653282166},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.45532679557800293},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45131754875183105},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4423756003379822},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4294520318508148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39321139454841614},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31308412551879883},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.19040027260780334},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14128455519676208},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13708052039146423},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10722777247428894},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.07252949476242065},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-018-01382-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-018-01382-w","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4841428602","display_name":null,"funder_award_id":"71571020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5190585547","display_name":null,"funder_award_id":"2017JJ027","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7515313506","display_name":"\u591a\u6e20\u9053\u4f9b\u5e94\u94fe\u4ea7\u54c1\u4fdd\u8bc1\u4e0e\u8d28\u91cf\u4fe1\u606f\u62ab\u9732\u95ee\u9898\u7814\u7a76","funder_award_id":"71371032","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G778244296","display_name":null,"funder_award_id":"2016QD010","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W177738058","https://openalex.org/W1973696214","https://openalex.org/W2001944732","https://openalex.org/W2003070114","https://openalex.org/W2011757723","https://openalex.org/W2084771065","https://openalex.org/W2096517034","https://openalex.org/W2109798263","https://openalex.org/W2282950302","https://openalex.org/W4285719527","https://openalex.org/W4300932985"],"related_works":["https://openalex.org/W2369655046","https://openalex.org/W2019467317","https://openalex.org/W1585519779","https://openalex.org/W1965515989","https://openalex.org/W4376167435","https://openalex.org/W2088737283","https://openalex.org/W1999587863","https://openalex.org/W4322208588","https://openalex.org/W2109798263","https://openalex.org/W3036780229"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}