{"id":"https://openalex.org/W2963218015","doi":"https://doi.org/10.1002/nme.6035","title":"Cutting the double loop: Theory and algorithms for reliability\u2010based design optimization with parametric uncertainty","display_name":"Cutting the double loop: Theory and algorithms for reliability\u2010based design optimization with parametric uncertainty","publication_year":2019,"publication_date":"2019-02-13","ids":{"openalex":"https://openalex.org/W2963218015","doi":"https://doi.org/10.1002/nme.6035","mag":"2963218015"},"language":"en","primary_location":{"id":"doi:10.1002/nme.6035","doi":"https://doi.org/10.1002/nme.6035","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nme.6035","pdf_url":null,"source":{"id":"https://openalex.org/S165651092","display_name":"International Journal for Numerical Methods in Engineering","issn_l":"0029-5981","issn":["0029-5981","1097-0207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Engineering","raw_type":"journal-article"},"volume":null,"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/A5034717631","display_name":"Zachary del Rosario","orcid":"https://orcid.org/0000-0003-4676-1692","observed_orcids":["https://orcid.org/0000-0003-4676-1692"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zachary del Rosario","raw_affiliation_strings":["Department of Aeronautics and Astronautics, Stanford University, Stanford, California","Zachary del Rosario, Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305"],"raw_orcid":"https://orcid.org/0000-0003-4676-1692","affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, Stanford University, Stanford, California","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Zachary del Rosario, Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036891059","display_name":"Richard W. Fenrich","orcid":"https://orcid.org/0009-0005-2517-6947","observed_orcids":["https://orcid.org/0009-0005-2517-6947"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard W. Fenrich","raw_affiliation_strings":["Department of Aeronautics and Astronautics, Stanford University, Stanford, California"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, Stanford University, Stanford, California","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047377841","display_name":"Gianluca Iaccarino","orcid":"https://orcid.org/0000-0003-3659-7745","observed_orcids":["https://orcid.org/0000-0003-3659-7745"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gianluca Iaccarino","raw_affiliation_strings":["Department of Mechanical Engineering, Stanford University, Stanford, California"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Stanford University, Stanford, California","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034717631"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":4400,"currency":"USD","value_usd":4400},"apc_paid":null,"fwci":1.8374,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.87579723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"118","issue":"12","first_page":"718","last_page":"740"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"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":1.0,"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/T10780","display_name":"Reliability and Maintenance Optimization","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T11046","display_name":"Geotechnical Engineering and Analysis","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/reliability-based-design-optimization","display_name":"reliability-based design optimization","score":0.9890000224113464},{"id":"https://openalex.org/keywords/parameter-uncertainty","display_name":"parameter uncertainty","score":0.9900000095367432},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"uncertainty quantification","score":0.6990000009536743},{"id":"https://openalex.org/keywords/design-optimization-algorithm","display_name":"design optimization algorithm","score":0.4009999930858612}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.7404603958129883},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7260355949401855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6117578148841858},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5764032006263733},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5583168864250183},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.5523470640182495},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5287777185440063},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.5129968523979187},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4172457456588745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22980231046676636},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2076573371887207},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.1576070487499237},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.12329435348510742},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07844895124435425},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/nme.6035","doi":"https://doi.org/10.1002/nme.6035","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nme.6035","pdf_url":null,"source":{"id":"https://openalex.org/S165651092","display_name":"International Journal for Numerical Methods in Engineering","issn_l":"0029-5981","issn":["0029-5981","1097-0207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1868717214","display_name":null,"funder_award_id":"(DGE-114747","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W232805744","https://openalex.org/W1460189015","https://openalex.org/W1977405322","https://openalex.org/W1991769471","https://openalex.org/W2009485836","https://openalex.org/W2012884505","https://openalex.org/W2020927383","https://openalex.org/W2029921868","https://openalex.org/W2035827144","https://openalex.org/W2045656233","https://openalex.org/W2050451581","https://openalex.org/W2064415186","https://openalex.org/W2086643378","https://openalex.org/W2109911333","https://openalex.org/W2118000334","https://openalex.org/W2119587361","https://openalex.org/W2142128101","https://openalex.org/W2165010629","https://openalex.org/W2296319761","https://openalex.org/W2328725189","https://openalex.org/W2752274752","https://openalex.org/W2789933691","https://openalex.org/W2793227316","https://openalex.org/W2909067299","https://openalex.org/W4235363884","https://openalex.org/W4255486735"],"related_works":["https://openalex.org/W2899306851","https://openalex.org/W2105938974","https://openalex.org/W6910387936","https://openalex.org/W2922377044","https://openalex.org/W4206151211","https://openalex.org/W2936150660","https://openalex.org/W1970861142","https://openalex.org/W2044563857","https://openalex.org/W2051381229","https://openalex.org/W7100651133"],"abstract_inverted_index":{"Summary":[0],"Parametric":[1],"uncertainties":[2],"complicate":[3],"engineering":[4],"design\u2014confounding":[5],"regulated":[6],"design":[7,65,78,82],"approaches":[8,120],"and":[9,84,95],"degrading":[10],"the":[11,49,57,74,100],"performance":[12],"of":[13,59,63,76,112],"reliability":[14,64,92,102],"efforts.":[15],"The":[16],"simplest":[17],"means":[18],"to":[19,117],"tackle":[20],"this":[21,38],"uncertainty":[22],"is":[23,35,54],"double\u2010loop":[24],"simulation,":[25],"a":[26,42,60,104,110,122],"nested":[27],"Monte":[28],"Carlo":[29],"method":[30],"that,":[31],"for":[32,72,89],"practical":[33],"problems,":[34],"intractable.":[36],"In":[37],"work,":[39],"we":[40,69],"introduce":[41,70],"flexible,":[43],"general":[44],"approximation":[45,53],"technique":[46],"that":[47,98],"obviates":[48],"double":[50],"loop.":[51],"This":[52],"constructed":[55],"in":[56,121],"context":[58],"novel":[61],"theory":[62],"under":[66],"parametric":[67],"uncertainty:":[68],"metrics":[71],"measuring":[73],"efficacy":[75],"reliability\u2010based":[77],"optimization":[79],"strategies":[80],"(epistemic":[81],"gap":[83],"effective":[85],"reliability),":[86],"minimal":[87],"conditions":[88,97],"controlling":[90],"uncertain":[91],"(precision":[93],"margin),":[94],"stricter":[96],"guarantee":[99],"desired":[101],"at":[103],"designed":[105],"confidence":[106],"level.":[107],"We":[108],"provide":[109],"number":[111],"examples":[113],"with":[114],"open\u2010source":[115],"code":[116],"demonstrate":[118],"our":[119],"reproducible":[123],"fashion.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2019-07-30T00:00:00"}