{"id":"https://openalex.org/W2129450075","doi":"https://doi.org/10.1186/2195-5468-1-7","title":"Robust design under mixed aleatory/epistemic uncertainties using gradients and surrogates","display_name":"Robust design under mixed aleatory/epistemic uncertainties using gradients and surrogates","publication_year":2013,"publication_date":"2013-10-30","ids":{"openalex":"https://openalex.org/W2129450075","doi":"https://doi.org/10.1186/2195-5468-1-7","mag":"2129450075"},"language":"en","primary_location":{"id":"doi:10.1186/2195-5468-1-7","doi":"https://doi.org/10.1186/2195-5468-1-7","is_oa":true,"landing_page_url":"https://doi.org/10.1186/2195-5468-1-7","pdf_url":"https://juaa-journal.springeropen.com/counter/pdf/10.1186/2195-5468-1-7","source":{"id":"https://openalex.org/S4210219051","display_name":"Journal of Uncertainty Analysis and Applications","issn_l":"2195-5468","issn":["2195-5468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Uncertainty Analysis and Applications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://juaa-journal.springeropen.com/counter/pdf/10.1186/2195-5468-1-7","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054806727","display_name":"Markus P. Rumpfkeil","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I127591826","display_name":"University of Dayton","ror":"https://ror.org/021v3qy27","country_code":"US","type":"education","lineage":["https://openalex.org/I127591826"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Markus P Rumpfkeil","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of Dayton, Dayton, Ohio, USA","Department of Mechanical & Aerospace Engineering, University of Dayton, Dayton, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of Dayton, Dayton, Ohio, USA","institution_ids":["https://openalex.org/I127591826"]},{"raw_affiliation_string":"Department of Mechanical & Aerospace Engineering, University of Dayton, Dayton, USA","institution_ids":["https://openalex.org/I127591826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054806727"],"corresponding_institution_ids":["https://openalex.org/I127591826"],"apc_list":null,"apc_paid":null,"fwci":0.7352,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.78488257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"1","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9990000128746033,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.0006000000284984708,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/robust-design","display_name":"robust design","score":0.8980000019073486},{"id":"https://openalex.org/keywords/epistemic-uncertainty","display_name":"epistemic uncertainty","score":0.8119999766349792},{"id":"https://openalex.org/keywords/aleatoric-uncertainty","display_name":"aleatoric uncertainty","score":0.9440000057220459},{"id":"https://openalex.org/keywords/box-constrained-optimization","display_name":"box-constrained optimization","score":0.949999988079071},{"id":"https://openalex.org/keywords/kriging-surrogate-model","display_name":"Kriging surrogate model","score":0.7639999985694885},{"id":"https://openalex.org/keywords/monte-carlo-sampling","display_name":"Monte Carlo sampling","score":0.765999972820282},{"id":"https://openalex.org/keywords/shape-design","display_name":"shape design","score":0.3880000114440918},{"id":"https://openalex.org/keywords/naca-0012-airfoil","display_name":"NACA 0012 airfoil","score":0.9520000219345093},{"id":"https://openalex.org/keywords/transonic-flow","display_name":"transonic flow","score":0.8320000171661377}],"concepts":[{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.8925355076789856},{"id":"https://openalex.org/C81692654","wikidata":"https://www.wikidata.org/wiki/Q225926","display_name":"Kriging","level":2,"score":0.6418440341949463},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5314321517944336},{"id":"https://openalex.org/C131675550","wikidata":"https://www.wikidata.org/wiki/Q7646884","display_name":"Surrogate model","level":2,"score":0.5275782346725464},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5099056959152222},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4922913610935211},{"id":"https://openalex.org/C103838597","wikidata":"https://www.wikidata.org/wiki/Q1579556","display_name":"Transonic","level":3,"score":0.4481378197669983},{"id":"https://openalex.org/C112124176","wikidata":"https://www.wikidata.org/wiki/Q4698744","display_name":"Airfoil","level":2,"score":0.44429633021354675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4418882131576538},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4321139454841614},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.42592233419418335},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4163748025894165},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2189895212650299},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20525339245796204},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.1525776982307434},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.10993602871894836},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.08168143033981323},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1186/2195-5468-1-7","doi":"https://doi.org/10.1186/2195-5468-1-7","is_oa":true,"landing_page_url":"https://doi.org/10.1186/2195-5468-1-7","pdf_url":"https://juaa-journal.springeropen.com/counter/pdf/10.1186/2195-5468-1-7","source":{"id":"https://openalex.org/S4210219051","display_name":"Journal of Uncertainty Analysis and Applications","issn_l":"2195-5468","issn":["2195-5468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Uncertainty Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1186/2195-5468-1-7","doi":"https://doi.org/10.1186/2195-5468-1-7","is_oa":true,"landing_page_url":"https://doi.org/10.1186/2195-5468-1-7","pdf_url":"https://juaa-journal.springeropen.com/counter/pdf/10.1186/2195-5468-1-7","source":{"id":"https://openalex.org/S4210219051","display_name":"Journal of Uncertainty Analysis and Applications","issn_l":"2195-5468","issn":["2195-5468"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Uncertainty Analysis and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310486","display_name":"University of Dayton","ror":"https://ror.org/021v3qy27"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2129450075.pdf","grobid_xml":"https://content.openalex.org/works/W2129450075.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W564218521","https://openalex.org/W1932881712","https://openalex.org/W1963888335","https://openalex.org/W1965171208","https://openalex.org/W1969159330","https://openalex.org/W1976502092","https://openalex.org/W1982675769","https://openalex.org/W1985845039","https://openalex.org/W1987313619","https://openalex.org/W1993377828","https://openalex.org/W2000359198","https://openalex.org/W2010955807","https://openalex.org/W2020910291","https://openalex.org/W2041290960","https://openalex.org/W2048202817","https://openalex.org/W2051203581","https://openalex.org/W2056706765","https://openalex.org/W2058946021","https://openalex.org/W2082314013","https://openalex.org/W2083168998","https://openalex.org/W2083259944","https://openalex.org/W2083513994","https://openalex.org/W2091230023","https://openalex.org/W2095286867","https://openalex.org/W2096045991","https://openalex.org/W2098720228","https://openalex.org/W2108681209","https://openalex.org/W2116103153","https://openalex.org/W2118089738","https://openalex.org/W2119142673","https://openalex.org/W2123871098","https://openalex.org/W2133384365","https://openalex.org/W2133524053","https://openalex.org/W2134259702","https://openalex.org/W2143863355","https://openalex.org/W2173502753","https://openalex.org/W2269678754","https://openalex.org/W2313924857","https://openalex.org/W2323697504","https://openalex.org/W2327622798","https://openalex.org/W2333606994","https://openalex.org/W2424318083","https://openalex.org/W2461322537","https://openalex.org/W2502170570","https://openalex.org/W3169218459","https://openalex.org/W4230239313","https://openalex.org/W4248246515","https://openalex.org/W4251495539","https://openalex.org/W4253347690"],"related_works":["https://openalex.org/W2319100780","https://openalex.org/W2061162546","https://openalex.org/W4415769390","https://openalex.org/W4411018719","https://openalex.org/W2118847262","https://openalex.org/W4413526685","https://openalex.org/W7129438106","https://openalex.org/W2367108754","https://openalex.org/W3033103847","https://openalex.org/W1121532316"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"mixed":[3],"aleatory/epistemic":[4],"uncertainties":[5,39,64,102,161],"in":[6,79,183],"a":[7,34,41,58,88,147],"robust":[8,135,144],"design":[9,136,145,154],"problem":[10],"are":[11,85,156,170],"propagated":[12,56,71],"via":[13,57,72,103],"the":[14,26,50,63,81,100,112,115,121,130,143,163,181,184],"use":[15],"of":[16,114,146,165,180,186],"box-constrained":[17,59,82],"optimizations":[18,93],"and":[19,40,91,162,167],"surrogate":[20,107],"models.":[21],"The":[22,176],"assumption":[23],"is":[24,77,108,140,189],"that":[25],"uncertain":[27],"input":[28],"parameters":[29],"can":[30,53,69],"be":[31,55,70,96],"divided":[32],"into":[33],"set":[35,42],"only":[36,44],"containing":[37],"aleatory":[38,67,101,122,174],"with":[43,118],"epistemic":[45,51,160,187],"uncertainties.":[46,175],"Uncertainties":[47],"due":[48,65],"to":[49,66,95,98,110,120,128,142,158,172],"inputs":[52,68],"then":[54],"optimization":[60,83,116],"approach,":[61],"while":[62],"sampling.":[73,104],"A":[74,105],"statistics-of-intervals":[75],"approach":[76,139],"used":[78],"which":[80],"results":[84,117],"treated":[86],"as":[87,191],"random":[89],"variable":[90],"multiple":[92],"need":[94],"performed":[97],"quantify":[99],"Kriging":[106],"employed":[109],"model":[111],"variation":[113],"respect":[119],"variables":[123,155,188],"enabling":[124],"exhaustive":[125],"Monte-Carlo":[126],"sampling":[127],"determine":[129],"desired":[131],"statistics":[132],"for":[133],"each":[134],"iteration.":[137],"This":[138],"applied":[141],"transonic":[148],"NACA":[149],"0012":[150],"airfoil":[151],"where":[152],"shape":[153],"assumed":[157],"have":[159,173],"angle":[164],"attack":[166],"Mach":[168],"number":[169,185],"considered":[171],"very":[177],"good":[178],"scalability":[179],"framework":[182],"demonstrated":[190],"well.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-09-05T08:02:43.246662","created_date":"2016-06-24T00:00:00"}
