{"id":"https://openalex.org/W2023575482","doi":"https://doi.org/10.1007/s10898-007-9203-8","title":"A Lagrangean based branch-and-cut algorithm for global optimization of nonconvex mixed-integer nonlinear programs with decomposable structures","display_name":"A Lagrangean based branch-and-cut algorithm for global optimization of nonconvex mixed-integer nonlinear programs with decomposable structures","publication_year":2007,"publication_date":"2007-07-24","ids":{"openalex":"https://openalex.org/W2023575482","doi":"https://doi.org/10.1007/s10898-007-9203-8","mag":"2023575482"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-007-9203-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-007-9203-8","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/A5025669383","display_name":"Ramkumar Karuppiah","orcid":null},"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":"Ramkumar Karuppiah","raw_affiliation_strings":["Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA","Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, USA 15213"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, USA 15213","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","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, USA","Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, USA 15213"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, USA 15213","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056017028"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":5.5536,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.96136631,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"41","issue":"2","first_page":"163","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9966999888420105,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9894999861717224,"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":0.7517951726913452},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.7387335300445557},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7381929159164429},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.6464760899543762},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.6107990145683289},{"id":"https://openalex.org/keywords/benders-decomposition","display_name":"Benders' decomposition","score":0.5507676005363464},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5276569128036499},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4927542507648468},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.44028523564338684},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.43694016337394714},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43586400151252747},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42716801166534424},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4262775182723999},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.41245850920677185},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32963889837265015},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19465860724449158}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7517951726913452},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.7387335300445557},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7381929159164429},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.6464760899543762},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.6107990145683289},{"id":"https://openalex.org/C27665512","wikidata":"https://www.wikidata.org/wiki/Q3042795","display_name":"Benders' decomposition","level":2,"score":0.5507676005363464},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5276569128036499},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4927542507648468},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.44028523564338684},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.43694016337394714},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43586400151252747},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42716801166534424},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4262775182723999},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.41245850920677185},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32963889837265015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19465860724449158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10898-007-9203-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-007-9203-8","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310207","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W10227180","https://openalex.org/W107512677","https://openalex.org/W114465074","https://openalex.org/W347166089","https://openalex.org/W402691944","https://openalex.org/W1499399028","https://openalex.org/W1538999574","https://openalex.org/W1558506607","https://openalex.org/W1569990960","https://openalex.org/W1827139804","https://openalex.org/W1966523142","https://openalex.org/W1970424338","https://openalex.org/W1986835339","https://openalex.org/W1987838131","https://openalex.org/W1988622494","https://openalex.org/W1989023497","https://openalex.org/W1997762921","https://openalex.org/W2001912652","https://openalex.org/W2002023837","https://openalex.org/W2016690114","https://openalex.org/W2017411673","https://openalex.org/W2021381008","https://openalex.org/W2021674665","https://openalex.org/W2023059010","https://openalex.org/W2024299477","https://openalex.org/W2029585585","https://openalex.org/W2045622192","https://openalex.org/W2048330356","https://openalex.org/W2048866292","https://openalex.org/W2049741107","https://openalex.org/W2050523095","https://openalex.org/W2051668769","https://openalex.org/W2053236872","https://openalex.org/W2055427220","https://openalex.org/W2057338659","https://openalex.org/W2064073681","https://openalex.org/W2066129260","https://openalex.org/W2071334094","https://openalex.org/W2081929325","https://openalex.org/W2084006722","https://openalex.org/W2090633148","https://openalex.org/W2090846380","https://openalex.org/W2117784255","https://openalex.org/W2120448069","https://openalex.org/W2140255167","https://openalex.org/W2149518557","https://openalex.org/W2154904851","https://openalex.org/W2166797227","https://openalex.org/W2294646659","https://openalex.org/W2802959418","https://openalex.org/W2894871027","https://openalex.org/W4212864101","https://openalex.org/W4236384091","https://openalex.org/W4236993970","https://openalex.org/W6611780641","https://openalex.org/W6636468906"],"related_works":["https://openalex.org/W2009796757","https://openalex.org/W1971357083","https://openalex.org/W2941986668","https://openalex.org/W2084616826","https://openalex.org/W1997215277","https://openalex.org/W1983294952","https://openalex.org/W1968202374","https://openalex.org/W2889871839","https://openalex.org/W2008600006","https://openalex.org/W2089185195"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
