{"id":"https://openalex.org/W3086596554","doi":"https://doi.org/10.1080/24725854.2020.1820630","title":"Superposed Poisson process models with a modified bathtub intensity function for repairable systems","display_name":"Superposed Poisson process models with a modified bathtub intensity function for repairable systems","publication_year":2020,"publication_date":"2020-09-14","ids":{"openalex":"https://openalex.org/W3086596554","doi":"https://doi.org/10.1080/24725854.2020.1820630","mag":"3086596554"},"language":"en","primary_location":{"id":"doi:10.1080/24725854.2020.1820630","is_oa":false,"landing_page_url":"https://doi.org/10.1080/24725854.2020.1820630","pdf_url":null,"source":{"id":"https://openalex.org/S4210225672","display_name":"IISE Transactions","issn_l":"2472-5854","issn":["2472-5854","2472-5862"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IISE Transactions","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/A5101813855","display_name":"Tao Yuan","orcid":"https://orcid.org/0000-0003-1791-5736"},"institutions":[{"id":"https://openalex.org/I4210106879","display_name":"Ohio University","ror":"https://ror.org/01jr3y717","country_code":"US","type":"education","lineage":["https://openalex.org/I4210106879"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tao Yuan","raw_affiliation_strings":["Department of Industrial Engineering, Ohio University, Athens, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Ohio University, Athens, OH, USA","institution_ids":["https://openalex.org/I4210106879"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011316444","display_name":"Tianqiang Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106879","display_name":"Ohio University","ror":"https://ror.org/01jr3y717","country_code":"US","type":"education","lineage":["https://openalex.org/I4210106879"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tianqiang Yan","raw_affiliation_strings":["Department of Industrial Engineering, Ohio University, Athens, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Ohio University, Athens, OH, USA","institution_ids":["https://openalex.org/I4210106879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003553150","display_name":"Suk Joo Bae","orcid":"https://orcid.org/0000-0002-9938-7406"},"institutions":[{"id":"https://openalex.org/I4575257","display_name":"Hanyang University","ror":"https://ror.org/046865y68","country_code":"KR","type":"education","lineage":["https://openalex.org/I4575257"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Suk Joo Bae","raw_affiliation_strings":["Department of Industrial Engineering,Hanyang University, Seoul"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering,Hanyang University, Seoul","institution_ids":["https://openalex.org/I4575257"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003553150"],"corresponding_institution_ids":["https://openalex.org/I4575257"],"apc_list":null,"apc_paid":null,"fwci":0.9386,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.73781612,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"53","issue":"9","first_page":"1037","last_page":"1051"},"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":0.9995999932289124,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991000294685364,"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/bathtub","display_name":"Bathtub","score":0.6281098127365112},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4912394881248474},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.48422670364379883},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.482255756855011},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.45090359449386597},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.44059479236602783},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4270576238632202},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.41838985681533813},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.41608908772468567},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.3951086699962616},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32857322692871094},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32560157775878906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29526665806770325},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23365017771720886},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2326865792274475},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.22667765617370605},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11986052989959717}],"concepts":[{"id":"https://openalex.org/C2777728836","wikidata":"https://www.wikidata.org/wiki/Q152095","display_name":"Bathtub","level":2,"score":0.6281098127365112},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4912394881248474},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.48422670364379883},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.482255756855011},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.45090359449386597},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.44059479236602783},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4270576238632202},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.41838985681533813},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.41608908772468567},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.3951086699962616},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32857322692871094},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32560157775878906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29526665806770325},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23365017771720886},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2326865792274475},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.22667765617370605},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11986052989959717},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","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},{"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/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/24725854.2020.1820630","is_oa":false,"landing_page_url":"https://doi.org/10.1080/24725854.2020.1820630","pdf_url":null,"source":{"id":"https://openalex.org/S4210225672","display_name":"IISE Transactions","issn_l":"2472-5854","issn":["2472-5854","2472-5862"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IISE Transactions","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:uiiexx:v:53:y:2021:i:9:p:1037-1051","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/24725854.2020.1820630","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W15376730","https://openalex.org/W32980360","https://openalex.org/W48493188","https://openalex.org/W74412329","https://openalex.org/W81951624","https://openalex.org/W199266547","https://openalex.org/W1505295059","https://openalex.org/W1557456443","https://openalex.org/W1969543203","https://openalex.org/W1973872091","https://openalex.org/W1975392143","https://openalex.org/W1984372487","https://openalex.org/W1995500201","https://openalex.org/W2051196048","https://openalex.org/W2052657881","https://openalex.org/W2073570371","https://openalex.org/W2075696888","https://openalex.org/W2077134620","https://openalex.org/W2092198059","https://openalex.org/W2093320169","https://openalex.org/W2093392543","https://openalex.org/W2097318535","https://openalex.org/W2106675691","https://openalex.org/W2108193906","https://openalex.org/W2129118918","https://openalex.org/W2135966495","https://openalex.org/W2142635246","https://openalex.org/W2151038992","https://openalex.org/W2156549508","https://openalex.org/W2160459026","https://openalex.org/W2160872006","https://openalex.org/W2168175751","https://openalex.org/W2168504156","https://openalex.org/W4240654529","https://openalex.org/W4251428492","https://openalex.org/W4253020471","https://openalex.org/W4300126076"],"related_works":["https://openalex.org/W2407375987","https://openalex.org/W2505726097","https://openalex.org/W2950975704","https://openalex.org/W2010643158","https://openalex.org/W3049691116","https://openalex.org/W2106867672","https://openalex.org/W4310268968","https://openalex.org/W3081214562","https://openalex.org/W2753713401","https://openalex.org/W2053745677"],"abstract_inverted_index":{"Bathtub-shaped":[0],"failure":[1,14,22,36,56],"intensity":[2,49],"is":[3],"typical":[4],"for":[5,113,162,173,179],"large-scaled":[6],"repairable":[7,17,89,181],"systems":[8,18,90,165],"with":[9,46,154],"a":[10,21,155],"number":[11],"of":[12,34,55,66,94,122,158,169,176],"different":[13,24],"modes.":[15,37],"Sometimes,":[16],"may":[19],"exhibit":[20],"pattern":[23],"from":[25,88],"the":[26,32,64,67,92,107,114,117,123,132,137,141,148,170,174,180],"traditional":[27],"bathtub":[28,48],"shape,":[29],"due":[30],"to":[31,51,84],"existence":[33],"multiple":[35],"This":[38,128],"study":[39,129,153],"proposes":[40],"two":[41],"superposed":[42,124],"Poisson":[43,125],"process":[44,70,74,126],"models":[45,60,80,139,172],"modified":[47],"functions":[50,121],"capture":[52],"this":[53],"kind":[54],"pattern.":[57],"The":[58,78],"new":[59],"are":[61,97,111],"constructed":[62],"by":[63],"superposition":[65],"generalized":[68],"Goel\u2013Okumoto":[69],"and":[71,144],"power":[72],"law":[73],"(or":[75],"log-linear":[76],"process).":[77],"proposed":[79,171],"can":[81],"be":[82],"applied":[83],"masked":[85],"failure-time":[86],"data":[87,108,156],"where":[91],"modes":[93],"collected":[95],"failure-times":[96],"unobserved":[98],"or":[99,119],"unavailable.":[100],"Bayesian":[101,142],"posterior":[102],"computation":[103],"algorithms":[104],"based":[105],"on":[106,116],"augmentation":[109],"method":[110],"developed":[112],"inference":[115],"parameters":[118],"their":[120],"models.":[127],"also":[130],"examines":[131],"best":[133],"model":[134],"selection":[135],"among":[136],"candidate":[138],"in":[140],"framework":[143],"modeling":[145],"check":[146],"using":[147],"residuals.":[149],"A":[150],"practical":[151],"case":[152],"set":[157],"unscheduled":[159],"maintenance":[160],"events":[161],"complex":[163],"artillery":[164],"illustrates":[166],"potential":[167],"applications":[168],"purpose":[175],"reliability":[177],"prediction":[178],"systems.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
