{"id":"https://openalex.org/W2050845158","doi":"https://doi.org/10.1109/tevc.2014.2343791","title":"Six-Sigma Robust Design Optimization Using a Many-Objective Decomposition-Based Evolutionary Algorithm","display_name":"Six-Sigma Robust Design Optimization Using a Many-Objective Decomposition-Based Evolutionary Algorithm","publication_year":2014,"publication_date":"2014-07-29","ids":{"openalex":"https://openalex.org/W2050845158","doi":"https://doi.org/10.1109/tevc.2014.2343791","mag":"2050845158"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2014.2343791","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2014.2343791","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","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/A5014752949","display_name":"Md Asafuddoula","orcid":"https://orcid.org/0000-0003-4102-6349"},"institutions":[{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]},{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"M. Asafuddoula","raw_affiliation_strings":["School Engineering and Information Technology, University of New South Wales, Canberra, ACT, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School Engineering and Information Technology, University of New South Wales, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077555584","display_name":"Hemant Kumar Singh","orcid":"https://orcid.org/0000-0003-1653-232X"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]},{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Hemant K. Singh","raw_affiliation_strings":["School Engineering and Information Technology, University of New South Wales, Canberra, ACT, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School Engineering and Information Technology, University of New South Wales, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061883146","display_name":"Tapabrata Ray","orcid":"https://orcid.org/0000-0003-1950-5917"},"institutions":[{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]},{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tapabrata Ray","raw_affiliation_strings":["School Engineering and Information Technology, University of New South Wales, Canberra, ACT, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School Engineering and Information Technology, University of New South Wales, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014752949"],"corresponding_institution_ids":["https://openalex.org/I188329596","https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":5.1182,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.95747142,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"19","issue":"4","first_page":"490","last_page":"507"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9995999932289124,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9994000196456909,"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/robustness","display_name":"Robustness (evolution)","score":0.9083488583564758},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6858544945716858},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5716017484664917},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.5653446912765503},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5120547413825989},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5014955997467041},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.48211169242858887},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3541101813316345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30844712257385254}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.9083488583564758},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6858544945716858},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5716017484664917},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.5653446912765503},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5120547413825989},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5014955997467041},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.48211169242858887},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3541101813316345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30844712257385254},{"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},{"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:10.1109/tevc.2014.2343791","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2014.2343791","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Responsible consumption and production","id":"https://metadata.un.org/sdg/12","score":0.4399999976158142}],"awards":[],"funders":[{"id":"https://openalex.org/F4320313567","display_name":"University of New South Wales Canberra","ror":null},{"id":"https://openalex.org/F4320320965","display_name":"University of New South Wales","ror":"https://ror.org/03r8z3t63"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":113,"referenced_works":["https://openalex.org/W152083058","https://openalex.org/W188151282","https://openalex.org/W1484287363","https://openalex.org/W1487678510","https://openalex.org/W1499692130","https://openalex.org/W1506237426","https://openalex.org/W1509672697","https://openalex.org/W1512346611","https://openalex.org/W1544136923","https://openalex.org/W1555106872","https://openalex.org/W1572480955","https://openalex.org/W1580275620","https://openalex.org/W1581562576","https://openalex.org/W1583993532","https://openalex.org/W1595498733","https://openalex.org/W1597497229","https://openalex.org/W1607221389","https://openalex.org/W1608348795","https://openalex.org/W1612556207","https://openalex.org/W1974199608","https://openalex.org/W1974276217","https://openalex.org/W1976379984","https://openalex.org/W1981370821","https://openalex.org/W1985536908","https://openalex.org/W1987313619","https://openalex.org/W1990533966","https://openalex.org/W1992656046","https://openalex.org/W1993131108","https://openalex.org/W1993377828","https://openalex.org/W2001816465","https://openalex.org/W2006939717","https://openalex.org/W2010955807","https://openalex.org/W2011882435","https://openalex.org/W2012397654","https://openalex.org/W2012683886","https://openalex.org/W2014836689","https://openalex.org/W2020035157","https://openalex.org/W2022184750","https://openalex.org/W2023146461","https://openalex.org/W2024008934","https://openalex.org/W2025525377","https://openalex.org/W2026282052","https://openalex.org/W2027167495","https://openalex.org/W2027432887","https://openalex.org/W2029378824","https://openalex.org/W2032955037","https://openalex.org/W2033483510","https://openalex.org/W2038420231","https://openalex.org/W2038669746","https://openalex.org/W2041610206","https://openalex.org/W2045766411","https://openalex.org/W2047046780","https://openalex.org/W2048268443","https://openalex.org/W2056706765","https://openalex.org/W2060135116","https://openalex.org/W2061547658","https://openalex.org/W2068451296","https://openalex.org/W2071548733","https://openalex.org/W2072564771","https://openalex.org/W2076858147","https://openalex.org/W2077443414","https://openalex.org/W2077879217","https://openalex.org/W2083545545","https://openalex.org/W2084670612","https://openalex.org/W2085507535","https://openalex.org/W2085785960","https://openalex.org/W2087309778","https://openalex.org/W2087320074","https://openalex.org/W2096258287","https://openalex.org/W2102257063","https://openalex.org/W2110899434","https://openalex.org/W2122423481","https://openalex.org/W2124943577","https://openalex.org/W2126105956","https://openalex.org/W2129318555","https://openalex.org/W2131335509","https://openalex.org/W2132232739","https://openalex.org/W2133384365","https://openalex.org/W2134152443","https://openalex.org/W2138840975","https://openalex.org/W2142577776","https://openalex.org/W2143210223","https://openalex.org/W2143381319","https://openalex.org/W2154411958","https://openalex.org/W2154693991","https://openalex.org/W2155682526","https://openalex.org/W2156106639","https://openalex.org/W2157251646","https://openalex.org/W2166364496","https://openalex.org/W2167322292","https://openalex.org/W2178011284","https://openalex.org/W2261054240","https://openalex.org/W2320946177","https://openalex.org/W2321957512","https://openalex.org/W2323895364","https://openalex.org/W2427769474","https://openalex.org/W2430193308","https://openalex.org/W2789952880","https://openalex.org/W4243645092","https://openalex.org/W4248246515","https://openalex.org/W4248559864","https://openalex.org/W4285719527","https://openalex.org/W6606112685","https://openalex.org/W6607606018","https://openalex.org/W6630447006","https://openalex.org/W6632329427","https://openalex.org/W6635773679","https://openalex.org/W6636658889","https://openalex.org/W6643696413","https://openalex.org/W6679728724","https://openalex.org/W6718151855","https://openalex.org/W6718227034","https://openalex.org/W6830165619"],"related_works":["https://openalex.org/W2081388382","https://openalex.org/W2074852250","https://openalex.org/W1997381757","https://openalex.org/W2966238001","https://openalex.org/W2888017238","https://openalex.org/W188711498","https://openalex.org/W3201550974","https://openalex.org/W2372680517","https://openalex.org/W2040533142","https://openalex.org/W2140741480"],"abstract_inverted_index":{"Robust":[0,64],"design":[1,45],"optimization":[2,65,110,166],"aims":[3],"to":[4,88,147],"find":[5],"solutions":[6,95,123],"that":[7,154],"are":[8,111,191],"competent":[9],"and":[10,84,113,134,168,184,197],"reliable":[11,51],"under":[12],"given":[13],"uncertainties.":[14],"While":[15],"such":[16],"uncertainties":[17,42],"can":[18],"emerge":[19],"from":[20,44,126],"a":[21,119,164,169],"number":[22],"of":[23,54,73,80,92,121,180,187],"sources":[24],"(imprecise":[25],"variable":[26],"values,":[27],"errors":[28],"in":[29],"performance":[30,135,152,179],"estimates,":[31],"varying":[32],"environmental":[33],"conditions,":[34],"etc.),":[35],"this":[36,102],"paper":[37],"focuses":[38],"on":[39],"problems":[40],"where":[41],"emanate":[43],"variables.":[46],"In":[47,101],"commercial":[48],"designs,":[49],"being":[50,59],"is":[52,161,173],"often":[53],"more":[55],"practical":[56],"value":[57],"than":[58],"globally":[60],"best":[61],"(but":[62],"unreliable).":[63],"poses":[66],"three":[67],"key":[68],"challenges:":[69],"1)":[70],"appropriate":[71],"formulation":[72],"the":[74,81,90,156,181,185],"problem":[75,106,160,167],";":[76],"2)":[77],"accurate":[78],"estimation":[79],"\u201crobustness\u201d":[82],"measure;":[83],"3)":[85],"efficient":[86],"means":[87,146],"identify":[89,148],"set":[91,120],"tradeoff":[93,122],"robust":[94,109],"with":[96,124],"an":[97],"affordable":[98],"computational":[99],"cost.":[100],"paper,":[103],"four":[104,198],"different":[105,189],"formulations":[107,117,190],"for":[108,175],"presented":[112],"analyzed.":[114],"The":[115,142,159,178],"proposed":[116,182],"offer":[118],"robustness":[125,131,138],"two":[127,194],"perspectives-feasibility":[128],"robustness,":[129,136],"i.e.,":[130,137],"against":[132],"failure":[133],"assuring":[139],"good":[140],"performance.":[141],"approach":[143,172,183],"also":[144],"provides":[145],"critical":[149],"constraints":[150],"or":[151],"functions":[153],"affect":[155],"overall":[157],"robustness.":[158],"posed":[162],"as":[163],"many-objective":[165],"decomposition-based":[170],"evolutionary":[171],"used":[174],"solving":[176],"it.":[177],"consequences":[186],"using":[188,193],"illustrated":[192],"numerical":[195],"examples":[196],"engineering":[199],"problems.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2025-10-10T00:00:00"}
