{"id":"https://openalex.org/W2095476732","doi":"https://doi.org/10.1088/1742-6596/180/1/012014","title":"Applications and algorithms for mixed integer nonlinear programming","display_name":"Applications and algorithms for mixed integer nonlinear programming","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2095476732","doi":"https://doi.org/10.1088/1742-6596/180/1/012014","mag":"2095476732"},"language":"en","primary_location":{"id":"doi:10.1088/1742-6596/180/1/012014","doi":"https://doi.org/10.1088/1742-6596/180/1/012014","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/180/1/012014","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/180/1/012014/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://iopscience.iop.org/article/10.1088/1742-6596/180/1/012014/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084814006","display_name":"Sven Leyffer","orcid":"https://orcid.org/0000-0001-8839-5876","observed_orcids":["https://orcid.org/0000-0001-8839-5876"]},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sven Leyffer","raw_affiliation_strings":["Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, USA","institution_ids":["https://openalex.org/I1282105669"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046029284","display_name":"Jeff Linderoth","orcid":"https://orcid.org/0000-0003-4442-3059","observed_orcids":["https://orcid.org/0000-0003-4442-3059"]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeff Linderoth","raw_affiliation_strings":["Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI 53706, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035469433","display_name":"James Luedtke","orcid":"https://orcid.org/0000-0001-9265-7728","observed_orcids":["https://orcid.org/0000-0001-9265-7728"]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James Luedtke","raw_affiliation_strings":["Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI 53706, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Andrew Miller","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210131512","display_name":"Centre Inria de l'universit\u00e9 de Bordeaux","ror":"https://ror.org/03tjcj052","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210131512"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]},{"id":"https://openalex.org/I4396570533","display_name":"Universit\u00e9 Bordeaux-I","ror":"https://ror.org/001anga17","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530","https://openalex.org/I4396570533"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andrew Miller","raw_affiliation_strings":["IMB, Universit\u00e9 Bordeaux 1; RealOpt, INRIA Bordeaux Sud-Ouest, 33405 Talence, France","IMB, Universit\u00e9 Bordeaux 1","RealOpt, INRIA Bordeaux Sud-Ouest, 33405 Talence, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMB, Universit\u00e9 Bordeaux 1; RealOpt, INRIA Bordeaux Sud-Ouest, 33405 Talence, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210131512","https://openalex.org/I4210166017","https://openalex.org/I4396570533"]},{"raw_affiliation_string":"IMB, Universit\u00e9 Bordeaux 1","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210166017","https://openalex.org/I4396570533"]},{"raw_affiliation_string":"RealOpt, INRIA Bordeaux Sud-Ouest, 33405 Talence, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210131512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086190700","display_name":"Todd Munson","orcid":"https://orcid.org/0000-0002-0030-3648","observed_orcids":["https://orcid.org/0000-0002-0030-3648"]},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Todd Munson","raw_affiliation_strings":["Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, USA","institution_ids":["https://openalex.org/I1282105669"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.0714,"has_fulltext":true,"cited_by_count":35,"citation_normalized_percentile":{"value":0.98922414,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":99},"biblio":{"volume":"180","issue":null,"first_page":"012014","last_page":"012014"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9994999766349792,"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":9.999999747378752e-05,"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":9.999999747378752e-05,"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/mixed-integer-nonlinear-programming","display_name":"mixed-integer nonlinear programming","score":0.9240000247955322},{"id":"https://openalex.org/keywords/discrete-decision-variables","display_name":"discrete decision variables","score":0.9419999718666077}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6224462985992432},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5431436896324158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5417280197143555},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5380581617355347},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5298224091529846},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.5254696607589722},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.49528422951698303},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.48234862089157104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40760189294815063},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37604206800460815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33164316415786743},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12027531862258911},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1088/1742-6596/180/1/012014","doi":"https://doi.org/10.1088/1742-6596/180/1/012014","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/180/1/012014","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/180/1/012014/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.410.5882","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.410.5882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://homepages.cae.wisc.edu/~linderot/papers/Leyffer-Et-Al-09.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1088/1742-6596/180/1/012014","doi":"https://doi.org/10.1088/1742-6596/180/1/012014","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/180/1/012014","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/180/1/012014/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G222768804","display_name":null,"funder_award_id":"DE\u2010FG02\u2010","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2287611682","display_name":null,"funder_award_id":"AC02\u201006CH11357","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G2441039138","display_name":"Collaborative Research:  Next Generation Solvers for Mixed Integer Nonlinear Programs:   Structure, Search, and Implementation","funder_award_id":"0830153","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G262962599","display_name":null,"funder_award_id":"AC02\u201006CH11357","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G498139845","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G513797252","display_name":null,"funder_award_id":"DE-AC02\u201306CH11357","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5398989114","display_name":null,"funder_award_id":"AC02-06CH11357","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G5595906399","display_name":"NEXT GENERATION SOLVERS FOR MIXED INTGER NONLINEAR PROGRAMS: STRUCTURE, SEARCH AND IMPLEMENTATION","funder_award_id":"FG02-08ER25861","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6420781019","display_name":"NEXT GENERATION SOLVERS FOR MIXED INTGER NONLINEAR PROGRAMS: STRUCTURE, SEARCH AND IMPLEMENTATION","funder_award_id":"FG02-08ER25861","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6848031779","display_name":null,"funder_award_id":"06CH11357","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6918803902","display_name":null,"funder_award_id":"06CH11357","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G8520148457","display_name":"OPTIMIZATION UNDER NONCONVEXITY AND UNCERTAINTY: ALGORITHMS AND SOFTWARE","funder_award_id":"FG02-09ER25869","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8564086609","display_name":"OPTIMIZATION UNDER NONCONVEXITY AND UNCERTAINTY: ALGORITHMS AND SOFTWARE","funder_award_id":"FG02-09ER25869","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G878601127","display_name":null,"funder_award_id":"DE-AC02-06CH11357","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G993149817","display_name":null,"funder_award_id":"DE-AC02-06CH11357 ","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2095476732.pdf","grobid_xml":"https://content.openalex.org/works/W2095476732.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1503758324","https://openalex.org/W1508257828","https://openalex.org/W1988622494","https://openalex.org/W1989924816","https://openalex.org/W2016764453","https://openalex.org/W2021674665","https://openalex.org/W2060761364","https://openalex.org/W2066899687","https://openalex.org/W2115976312","https://openalex.org/W2123871098","https://openalex.org/W2127611252","https://openalex.org/W2157195803","https://openalex.org/W2184024979"],"related_works":["https://openalex.org/W2908659078","https://openalex.org/W4297789074","https://openalex.org/W2941821746","https://openalex.org/W2978765831","https://openalex.org/W1626571998","https://openalex.org/W2133304166","https://openalex.org/W1918578756","https://openalex.org/W7096746944","https://openalex.org/W6927637977","https://openalex.org/W2155014525"],"abstract_inverted_index":{"The":[0],"mathematical":[1],"modeling":[2],"of":[3,9,89,111,115],"systems":[4],"often":[5],"requires":[6],"the":[7,60],"use":[8],"both":[10,43],"nonlinear":[11,47,54],"and":[12,21,39,46,57,69,92,94],"discrete":[13,44],"components.":[14],"Discrete":[15],"decision":[16],"variables":[17,45],"model":[18],"dichotomies,":[19],"discontinuities,":[20],"general":[22],"logical":[23],"relationships.":[24],"Nonlinear":[25],"functions":[26,49],"are":[27,50,58,80,106],"required":[28],"to":[29],"accurately":[30],"represent":[31],"physical":[32],"properties":[33],"such":[34],"as":[35,52,83],"pressure,":[36],"stress,":[37],"temperature,":[38],"equilibrium.":[40],"Problems":[41],"involving":[42],"constraint":[48],"known":[51],"mixed-integer":[53],"programs":[55],"(MINLPs)":[56],"among":[59],"most":[61],"challenging":[62],"computational":[63],"optimization":[64],"problems":[65,116],"faced":[66],"by":[67],"researchers":[68],"practitioners.":[70],"In":[71],"this":[72,112],"paper,":[73],"we":[74,85,95],"describe":[75,96],"relevant":[76],"scientific":[77],"applications":[78],"that":[79],"naturally":[81],"modeled":[82],"MINLPs,":[84],"provide":[86],"an":[87],"overview":[88],"available":[90],"algorithms":[91],"software,":[93],"ongoing":[97],"methodological":[98],"advances":[99,105],"for":[100],"solving":[101],"MINLPs.":[102],"These":[103],"algorithmic":[104],"making":[107],"increasingly":[108],"larger":[109],"instances":[110],"important":[113],"family":[114],"tractable.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":7},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}