{"id":"https://openalex.org/W2171012004","doi":"https://doi.org/10.1115/1.4007988","title":"Robust Optimization of Mixed-Integer Problems Using NURBs-Based Metamodels","display_name":"Robust Optimization of Mixed-Integer Problems Using NURBs-Based Metamodels","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2171012004","doi":"https://doi.org/10.1115/1.4007988","mag":"2171012004"},"language":"en","primary_location":{"id":"doi:10.1115/1.4007988","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4007988","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","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/A5034577579","display_name":"John C. Steuben","orcid":"https://orcid.org/0000-0001-7246-4769"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John C. Steuben","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5031026851","display_name":"Cameron J. Turner","orcid":"https://orcid.org/0000-0001-9546-2328"},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Cameron J. Turner","raw_affiliation_strings":["e-mail:\u2002 Colorado School of Mines, College of Engineering and Computational Sciences, 1500 Illinois Street, Golden, CO 80401"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"e-mail:\u2002 Colorado School of Mines, College of Engineering and Computational Sciences, 1500 Illinois Street, Golden, CO 80401","institution_ids":["https://openalex.org/I167576493"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031026851"],"corresponding_institution_ids":["https://openalex.org/I167576493"],"apc_list":null,"apc_paid":null,"fwci":0.3471,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.65680698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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":0.9947999715805054,"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/robustness","display_name":"Robustness (evolution)","score":0.7832319736480713},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6716581583023071},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6160034537315369},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5244372487068176},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5189840197563171},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.4694765508174896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44809722900390625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4127081334590912},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3258795142173767}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7832319736480713},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6716581583023071},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6160034537315369},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5244372487068176},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5189840197563171},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.4694765508174896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44809722900390625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4127081334590912},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3258795142173767},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/1.4007988","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4007988","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1548879090","https://openalex.org/W1557499844","https://openalex.org/W1577278402","https://openalex.org/W1608348795","https://openalex.org/W1698690719","https://openalex.org/W1990600049","https://openalex.org/W1993377828","https://openalex.org/W2002859963","https://openalex.org/W2011315860","https://openalex.org/W2021718677","https://openalex.org/W2024273866","https://openalex.org/W2029266590","https://openalex.org/W2029634120","https://openalex.org/W2030465528","https://openalex.org/W2032955037","https://openalex.org/W2038636328","https://openalex.org/W2048711666","https://openalex.org/W2057338659","https://openalex.org/W2060208495","https://openalex.org/W2061962896","https://openalex.org/W2071334094","https://openalex.org/W2072564771","https://openalex.org/W2078037398","https://openalex.org/W2085147601","https://openalex.org/W2094460117","https://openalex.org/W2110603253","https://openalex.org/W2115964378","https://openalex.org/W2118578357","https://openalex.org/W2145475762","https://openalex.org/W2162870748","https://openalex.org/W2746816554"],"related_works":["https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2082154838","https://openalex.org/W2109912052","https://openalex.org/W1711527768","https://openalex.org/W2002696586","https://openalex.org/W2065369945","https://openalex.org/W2793423758","https://openalex.org/W3149055374"],"abstract_inverted_index":{"The":[0,66,103],"optimization":[1,23,30,51],"of":[2,17,24,31,52,68,78,105,120,135],"mixed-integer":[3,32,53],"problems":[4,33,54],"is":[5,108],"a":[6,38,45,73,117],"classic":[7],"problem":[8,93],"with":[9,116],"many":[10],"industrial":[11],"and":[12,62,75,128],"design":[13],"applications.":[14],"A":[15],"number":[16],"algorithms":[18],"exist":[19],"for":[20,48,72],"the":[21,28,49,100,132],"numerical":[22],"these":[25,69],"problems,":[26],"but":[27],"robust":[29,50],"has":[34],"been":[35],"explored":[36],"to":[37,97,125],"far":[39],"lesser":[40],"extent.":[41],"We":[42,114],"present":[43],"here":[44],"general":[46],"methodology":[47],"using":[55],"nonuniform":[56],"rational":[57],"B-spline":[58],"(NURBs)":[59],"based":[60],"metamodels":[61],"graph":[63],"theory":[64],"concepts.":[65],"use":[67],"techniques":[70],"allows":[71],"new":[74,122],"powerful":[76],"definition":[77],"robustness":[79,88],"along":[80],"integer":[81],"variables.":[82,102],"In":[83],"this":[84,106,136],"work,":[85],"we":[86],"define":[87],"as":[89,95],"an":[90],"invariance":[91],"in":[92,99],"structure,":[94],"opposed":[96],"insensitivity":[98],"dependent":[101],"application":[104],"approach":[107],"demonstrated":[109],"on":[110,131],"two":[111],"test":[112],"problems.":[113],"conclude":[115],"performance":[118],"analysis":[119],"our":[121,129],"approach,":[123],"comparisons":[124],"existing":[126],"approaches,":[127],"views":[130],"future":[133],"development":[134],"technique.":[137]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
