{"id":"https://openalex.org/W805566928","doi":"https://doi.org/10.1007/s10898-015-0322-3","title":"The extended supporting hyperplane algorithm for convex mixed-integer nonlinear programming","display_name":"The extended supporting hyperplane algorithm for convex mixed-integer nonlinear programming","publication_year":2015,"publication_date":"2015-06-24","ids":{"openalex":"https://openalex.org/W805566928","doi":"https://doi.org/10.1007/s10898-015-0322-3","mag":"805566928"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-015-0322-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-015-0322-3","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5006006057","display_name":"Jan Kronqvist","orcid":"https://orcid.org/0000-0003-0299-5745"},"institutions":[{"id":"https://openalex.org/I130217899","display_name":"\u00c5bo Akademi University","ror":"https://ror.org/029pk6x14","country_code":"FI","type":"education","lineage":["https://openalex.org/I130217899"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Jan Kronqvist","raw_affiliation_strings":["Optimization and Systems Engineering, \u00c5bo Akademi University, Turku, Finland"],"affiliations":[{"raw_affiliation_string":"Optimization and Systems Engineering, \u00c5bo Akademi University, Turku, Finland","institution_ids":["https://openalex.org/I130217899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030912699","display_name":"Andreas Lundell","orcid":"https://orcid.org/0000-0002-1548-1893"},"institutions":[{"id":"https://openalex.org/I130217899","display_name":"\u00c5bo Akademi University","ror":"https://ror.org/029pk6x14","country_code":"FI","type":"education","lineage":["https://openalex.org/I130217899"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Andreas Lundell","raw_affiliation_strings":["Optimization and Systems Engineering, \u00c5bo Akademi University, Turku, Finland"],"affiliations":[{"raw_affiliation_string":"Optimization and Systems Engineering, \u00c5bo Akademi University, Turku, Finland","institution_ids":["https://openalex.org/I130217899"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037388244","display_name":"Tapio Westerlund","orcid":"https://orcid.org/0000-0002-8979-9642"},"institutions":[{"id":"https://openalex.org/I130217899","display_name":"\u00c5bo Akademi University","ror":"https://ror.org/029pk6x14","country_code":"FI","type":"education","lineage":["https://openalex.org/I130217899"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Tapio Westerlund","raw_affiliation_strings":["Optimization and Systems Engineering, \u00c5bo Akademi University, Turku, Finland"],"affiliations":[{"raw_affiliation_string":"Optimization and Systems Engineering, \u00c5bo Akademi University, Turku, Finland","institution_ids":["https://openalex.org/I130217899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006006057"],"corresponding_institution_ids":["https://openalex.org/I130217899"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":6.5603,"has_fulltext":false,"cited_by_count":71,"citation_normalized_percentile":{"value":0.96874382,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"64","issue":"2","first_page":"249","last_page":"272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.994700014591217,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9911999702453613,"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":0.786895751953125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7606258392333984},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.7062456011772156},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6577067375183105},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5954684019088745},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5700829029083252},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5663527846336365},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.539372980594635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5371630191802979},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5219804048538208},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.5025601387023926},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.47393256425857544},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.45120206475257874},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.45100274682044983},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4223596751689911},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.4198532998561859},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.35486721992492676},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1798565685749054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1402369737625122}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.786895751953125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7606258392333984},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.7062456011772156},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6577067375183105},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5954684019088745},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5700829029083252},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5663527846336365},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.539372980594635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5371630191802979},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5219804048538208},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.5025601387023926},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.47393256425857544},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.45120206475257874},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.45100274682044983},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4223596751689911},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.4198532998561859},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.35486721992492676},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1798565685749054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1402369737625122},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-015-0322-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-015-0322-3","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:64:y:2016:i:2:d:10.1007_s10898-015-0322-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-015-0322-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/41317ea4-bf32-446f-a061-35b7b0214a1b","is_oa":false,"landing_page_url":"http://link.springer.com/article/10.1007%2Fs10898-015-0322-3","pdf_url":null,"source":{"id":"https://openalex.org/S4406923060","display_name":"\u00c5bo Akademi University Research Portal","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kronqvist, J, Lundell, A & Westerlund, T 2016, 'The extended supporting hyperplane algorithm for convex mixed-integer nonlinear programming', Journal of Global Optimization, vol. 64, no. 2, pp. 249\u2013272. https://doi.org/10.1007/s10898-015-0322-3","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W54096403","https://openalex.org/W88949317","https://openalex.org/W92685995","https://openalex.org/W1541170979","https://openalex.org/W1855884329","https://openalex.org/W1918578756","https://openalex.org/W1989774703","https://openalex.org/W2007231110","https://openalex.org/W2009815418","https://openalex.org/W2013020979","https://openalex.org/W2021674665","https://openalex.org/W2022150446","https://openalex.org/W2033735555","https://openalex.org/W2045982444","https://openalex.org/W2050339136","https://openalex.org/W2057443868","https://openalex.org/W2061962896","https://openalex.org/W2071334094","https://openalex.org/W2072881663","https://openalex.org/W2074869363","https://openalex.org/W2078328524","https://openalex.org/W2088836601","https://openalex.org/W2089492119","https://openalex.org/W2123871098","https://openalex.org/W2135151510","https://openalex.org/W2143386234","https://openalex.org/W2170213261","https://openalex.org/W2485305008","https://openalex.org/W2495560524","https://openalex.org/W4248948761","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W3006617646","https://openalex.org/W2379672298","https://openalex.org/W1531708257","https://openalex.org/W2387389269","https://openalex.org/W2046300504","https://openalex.org/W2263874601","https://openalex.org/W2158503982","https://openalex.org/W4223947110","https://openalex.org/W4313384610","https://openalex.org/W2023242492"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}