{"id":"https://openalex.org/W1542918674","doi":"https://doi.org/10.1023/a:1025154322278","title":"Generalized Convex Disjunctive Programming: Nonlinear Convex Hull Relaxation","display_name":"Generalized Convex Disjunctive Programming: Nonlinear Convex Hull Relaxation","publication_year":2003,"publication_date":"2003-09-16","ids":{"openalex":"https://openalex.org/W1542918674","doi":"https://doi.org/10.1023/a:1025154322278","mag":"1542918674"},"language":"en","primary_location":{"id":"doi:10.1023/a:1025154322278","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025154322278","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5056017028","display_name":"Ignacio E. Grossmann","orcid":"https://orcid.org/0000-0002-7210-084X"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ignacio E. Grossmann","raw_affiliation_strings":["Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213","Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213. grossmann@cmu.edu#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213. grossmann@cmu.edu#TAB#","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079268986","display_name":"Sang-Bum Lee","orcid":"https://orcid.org/0000-0001-5761-8483"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sangbum Lee","raw_affiliation_strings":["Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213","Department of Chemical Engineering, Carnegie\u2010Mellon University, Pittsburgh, PA, 15213"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie\u2010Mellon University, Pittsburgh, PA, 15213","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056017028"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":7.8042,"has_fulltext":false,"cited_by_count":154,"citation_normalized_percentile":{"value":0.9787296,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"26","issue":"1","first_page":"83","last_page":"100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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":0.9995999932289124,"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/T11053","display_name":"Process Optimization and Integration","score":0.9961000084877014,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9955999851226807,"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/mathematics","display_name":"Mathematics","score":0.8590009808540344},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.708939790725708},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.6977837085723877},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.542805552482605},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.5351921319961548},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5206003189086914},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.51650470495224},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5144222378730774},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5061449408531189},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4705743193626404},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.45570287108421326},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.41130366921424866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07329079508781433}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8590009808540344},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.708939790725708},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.6977837085723877},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.542805552482605},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.5351921319961548},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5206003189086914},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.51650470495224},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5144222378730774},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5061449408531189},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4705743193626404},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.45570287108421326},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.41130366921424866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07329079508781433},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1025154322278","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025154322278","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.7300000190734863,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W202264110","https://openalex.org/W1481924060","https://openalex.org/W1541170979","https://openalex.org/W1553702074","https://openalex.org/W1563600186","https://openalex.org/W1965970856","https://openalex.org/W1970193303","https://openalex.org/W1972997295","https://openalex.org/W1987924891","https://openalex.org/W1997215277","https://openalex.org/W2007231110","https://openalex.org/W2019974854","https://openalex.org/W2021947147","https://openalex.org/W2028498002","https://openalex.org/W2049505431","https://openalex.org/W2057338659","https://openalex.org/W2057586259","https://openalex.org/W2057797261","https://openalex.org/W2059215096","https://openalex.org/W2061962896","https://openalex.org/W2066875914","https://openalex.org/W2071334094","https://openalex.org/W2093022060","https://openalex.org/W2105887395","https://openalex.org/W2110316735","https://openalex.org/W2166797227","https://openalex.org/W2295940297","https://openalex.org/W2378213882","https://openalex.org/W4248948761","https://openalex.org/W4251711537","https://openalex.org/W4285719527","https://openalex.org/W6606016681"],"related_works":["https://openalex.org/W1967430243","https://openalex.org/W4324118942","https://openalex.org/W2913057782","https://openalex.org/W2734993473","https://openalex.org/W2185064329","https://openalex.org/W2187229407","https://openalex.org/W4378552474","https://openalex.org/W3030201206","https://openalex.org/W2059909660","https://openalex.org/W4302394465"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2016-06-24T00:00:00"}
