{"id":"https://openalex.org/W2154582503","doi":"https://doi.org/10.1109/tr.2010.2087430","title":"Optimal Burn-In Policy for Highly Reliable Products Using Gamma Degradation Process","display_name":"Optimal Burn-In Policy for Highly Reliable Products Using Gamma Degradation Process","publication_year":2010,"publication_date":"2010-11-23","ids":{"openalex":"https://openalex.org/W2154582503","doi":"https://doi.org/10.1109/tr.2010.2087430","mag":"2154582503"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2010.2087430","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2010.2087430","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"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 Reliability","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/A5103031369","display_name":"Chih\u2010Chun Tsai","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chih-Chun Tsai","raw_affiliation_strings":["Institute of Statistics, National Tsing Hua University, Hsinchu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Statistics, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103130151","display_name":"Sheng\u2010Tsaing Tseng","orcid":"https://orcid.org/0000-0002-7050-6117"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Sheng-Tsaing Tseng","raw_affiliation_strings":["Institute of Statistics, National Tsing Hua University, Hsinchu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Statistics, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039956503","display_name":"N. Balakrishnan","orcid":"https://orcid.org/0000-0001-5842-8892"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Narayanaswamy Balakrishnan","raw_affiliation_strings":["Department of Mathematics and Statistics, McMaster University, Hamilton, ONT, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McMaster University, Hamilton, ONT, Canada","institution_ids":["https://openalex.org/I98251732"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.4777,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.98251178,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"1","first_page":"234","last_page":"245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9998000264167786,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/burn-in","display_name":"Burn-in","score":0.8255423307418823},{"id":"https://openalex.org/keywords/gamma-process","display_name":"Gamma process","score":0.741659939289093},{"id":"https://openalex.org/keywords/wiener-process","display_name":"Wiener process","score":0.6288591027259827},{"id":"https://openalex.org/keywords/degradation","display_name":"Degradation (telecommunications)","score":0.6280697584152222},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5885704755783081},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5246536731719971},{"id":"https://openalex.org/keywords/factory","display_name":"Factory (object-oriented programming)","score":0.49237215518951416},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.4782473146915436},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.44798898696899414},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4396294057369232},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4149817228317261},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36478883028030396},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.24547907710075378},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2352631390094757},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18318402767181396}],"concepts":[{"id":"https://openalex.org/C179707776","wikidata":"https://www.wikidata.org/wiki/Q662895","display_name":"Burn-in","level":2,"score":0.8255423307418823},{"id":"https://openalex.org/C79495835","wikidata":"https://www.wikidata.org/wiki/Q5520315","display_name":"Gamma process","level":2,"score":0.741659939289093},{"id":"https://openalex.org/C60391097","wikidata":"https://www.wikidata.org/wiki/Q1056809","display_name":"Wiener process","level":2,"score":0.6288591027259827},{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.6280697584152222},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5885704755783081},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5246536731719971},{"id":"https://openalex.org/C40149104","wikidata":"https://www.wikidata.org/wiki/Q5620977","display_name":"Factory (object-oriented programming)","level":2,"score":0.49237215518951416},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.4782473146915436},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.44798898696899414},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4396294057369232},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4149817228317261},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36478883028030396},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.24547907710075378},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2352631390094757},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18318402767181396},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tr.2010.2087430","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2010.2087430","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"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 Reliability","raw_type":"journal-article"},{"id":"pmh:oai:tkuir.lib.tku.edu.tw:987654321/58135","is_oa":false,"landing_page_url":"https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/58135","pdf_url":null,"source":{"id":"https://openalex.org/S4406922698","display_name":"Tamkang University Institutional Repository (TKUIR)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W571112424","https://openalex.org/W623661064","https://openalex.org/W1983276518","https://openalex.org/W1983485562","https://openalex.org/W1983808249","https://openalex.org/W1990135046","https://openalex.org/W1992366386","https://openalex.org/W1993919176","https://openalex.org/W1995723008","https://openalex.org/W2001399930","https://openalex.org/W2003216150","https://openalex.org/W2017346728","https://openalex.org/W2023344466","https://openalex.org/W2025631306","https://openalex.org/W2033659397","https://openalex.org/W2043129860","https://openalex.org/W2068728923","https://openalex.org/W2085493937","https://openalex.org/W2088773739","https://openalex.org/W2096796813","https://openalex.org/W2103221250","https://openalex.org/W2115974364","https://openalex.org/W2126445794","https://openalex.org/W2137586953","https://openalex.org/W2148209128","https://openalex.org/W2151038992","https://openalex.org/W2168999813","https://openalex.org/W2265352053","https://openalex.org/W2795854098","https://openalex.org/W3098194146","https://openalex.org/W4233921518","https://openalex.org/W4242481154","https://openalex.org/W4255403467","https://openalex.org/W4285719527","https://openalex.org/W4299419703"],"related_works":["https://openalex.org/W1999774053","https://openalex.org/W2576932757","https://openalex.org/W261963757","https://openalex.org/W2154582503","https://openalex.org/W2335876601","https://openalex.org/W2384001389","https://openalex.org/W2106315576","https://openalex.org/W3033776295","https://openalex.org/W2905005544","https://openalex.org/W1583080557"],"abstract_inverted_index":{"Burn-in":[0],"test":[1,27],"is":[2,40,155,171,183,215],"a":[3,29,52,87,110,115,126,141,146,164,168,180,193,198],"manufacturing":[4],"process":[5,112,129,196],"applied":[6],"to":[7,9,34,64,130,157,174,186],"products":[8,21],"eliminate":[10],"latent":[11],"failures":[12],"or":[13,37,150],"weak":[14],"components":[15],"in":[16,77,98],"the":[17,20,65,68,78,82,91,99,132,136,159,176,188,203,208,211],"factory":[18],"before":[19],"reach":[22],"customers.":[23],"The":[24],"traditional":[25],"burn-in":[26,72,165],"over":[28,59],"short":[30],"period":[31],"of":[32,67,94,101,135,163,190,213],"time":[33,60,162],"collect":[35],"time-to-failure":[36],"go/no-go":[38],"data":[39],"rather":[41],"inefficient.":[42],"This":[43],"decision":[44,142],"problem":[45],"can":[46,61],"be":[47,62,105],"solved":[48],"if":[49],"there":[50],"exists":[51],"suitable":[53],"quality":[54],"characteristic":[55],"(QC)":[56],"whose":[57],"degradation":[58,84,92,133],"related":[63],"lifetime":[66],"product.":[69,137],"Recently,":[70],"optimal":[71,160],"policies":[73],"have":[74],"been":[75],"discussed":[76],"literature":[79],"assuming":[80],"that":[81,113,207],"underlying":[83],"path":[85,134],"follows":[86],"Wiener":[88,200],"process.":[89],"However,":[90],"model":[93,154],"many":[95],"materials":[96],"(especially":[97],"case":[100],"fatigue":[102],"data)":[103],"may":[104],"more":[106],"appropriately":[107],"modeled":[108],"by":[109,120],"gamma":[111,128,195],"exhibits":[114],"monotone-increasing":[116],"pattern.":[117],"Here,":[118],"motivated":[119],"laser":[121],"data,":[122],"we":[123,139],"first":[124],"-propose":[125],"mixed":[127,194,199],"describe":[131],"Next,":[138],"present":[140],"rule":[143],"for":[144],"classifying":[145],"unit":[147],"as":[148,197],"typical":[149],"weak.":[151],"A":[152],"cost":[153],"used":[156],"determine":[158],"termination":[161],"test,":[166],"and":[167,202],"motivating":[169],"example":[170],"then":[172],"presented":[173],"illustrate":[175],"proposed":[177],"procedure.":[178],"Finally,":[179],"simulation":[181],"study":[182],"carried":[184],"out":[185],"examine":[187],"effect":[189,209],"wrongly":[191],"treating":[192],"process,":[201],"obtained":[204],"results":[205],"reveal":[206],"on":[210],"probabilities":[212],"misclassification":[214],"not":[216],"negligible.":[217]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}