{"id":"https://openalex.org/W2591645937","doi":"https://doi.org/10.1109/tie.2017.2677334","title":"Remaining Useful Life Prediction Based on a General Expression of Stochastic Process Models","display_name":"Remaining Useful Life Prediction Based on a General Expression of Stochastic Process Models","publication_year":2017,"publication_date":"2017-03-02","ids":{"openalex":"https://openalex.org/W2591645937","doi":"https://doi.org/10.1109/tie.2017.2677334","mag":"2591645937"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2017.2677334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2017.2677334","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","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/A5044245613","display_name":"Naipeng Li","orcid":"https://orcid.org/0000-0003-0678-8161"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Naipeng Li","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008554873","display_name":"Yaguo Lei","orcid":"https://orcid.org/0000-0002-5167-1459"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaguo Lei","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066005897","display_name":"Liang Guo","orcid":"https://orcid.org/0000-0001-5338-4958"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Guo","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100326647","display_name":"Tao Yan","orcid":"https://orcid.org/0000-0002-3328-2118"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Yan","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100754192","display_name":"Jing Lin","orcid":"https://orcid.org/0000-0002-7670-1482"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Lin","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering and the Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":13.8432,"has_fulltext":false,"cited_by_count":120,"citation_normalized_percentile":{"value":0.99313664,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"64","issue":"7","first_page":"5709","last_page":"5718"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9955000281333923,"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/T14138","display_name":"Life Cycle Costing Analysis","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1402","display_name":"Accounting"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.6863409280776978},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.6534774899482727},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.621829092502594},{"id":"https://openalex.org/keywords/degradation","display_name":"Degradation (telecommunications)","score":0.611364483833313},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5648564696311951},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5605364441871643},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5581082701683044},{"id":"https://openalex.org/keywords/closed-form-expression","display_name":"Closed-form expression","score":0.505247175693512},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48911839723587036},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44464415311813354},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4368399977684021},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37801212072372437},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34156620502471924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3370445668697357},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17937242984771729},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09715378284454346}],"concepts":[{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.6863409280776978},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.6534774899482727},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.621829092502594},{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.611364483833313},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5648564696311951},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5605364441871643},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5581082701683044},{"id":"https://openalex.org/C4530962","wikidata":"https://www.wikidata.org/wiki/Q777407","display_name":"Closed-form expression","level":2,"score":0.505247175693512},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48911839723587036},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44464415311813354},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4368399977684021},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37801212072372437},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34156620502471924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3370445668697357},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17937242984771729},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09715378284454346},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2017.2677334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2017.2677334","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/12","display_name":"Responsible consumption and production","score":0.5600000023841858}],"awards":[{"id":"https://openalex.org/G3229652625","display_name":null,"funder_award_id":"51475355","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5775067451","display_name":null,"funder_award_id":"61673311","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W95577512","https://openalex.org/W1556459174","https://openalex.org/W1989937845","https://openalex.org/W1995723008","https://openalex.org/W2005523062","https://openalex.org/W2006169073","https://openalex.org/W2020776245","https://openalex.org/W2026549506","https://openalex.org/W2033800551","https://openalex.org/W2055873761","https://openalex.org/W2061659083","https://openalex.org/W2062613656","https://openalex.org/W2097956058","https://openalex.org/W2098608159","https://openalex.org/W2101946706","https://openalex.org/W2108898839","https://openalex.org/W2110007571","https://openalex.org/W2114106396","https://openalex.org/W2126432428","https://openalex.org/W2146369053","https://openalex.org/W2151038992","https://openalex.org/W2463813940","https://openalex.org/W2523377413","https://openalex.org/W4231906586","https://openalex.org/W4298330376","https://openalex.org/W6633355566"],"related_works":["https://openalex.org/W2392243736","https://openalex.org/W2095860056","https://openalex.org/W3037048848","https://openalex.org/W2351359734","https://openalex.org/W1972026033","https://openalex.org/W3188498324","https://openalex.org/W2103565019","https://openalex.org/W2145516048","https://openalex.org/W3033233802","https://openalex.org/W2591645937"],"abstract_inverted_index":{"In":[0,155],"remaining":[1],"useful":[2],"life":[3],"(RUL)":[4],"prediction,":[5],"stochastic":[6,21],"process":[7,22,167],"models":[8],"are":[9,163],"widely":[10],"used":[11],"to":[12,44,97],"describe":[13],"the":[14,24,51,82,87,92,101,113,116,121,137,143,176,180,184,190],"degradation":[15,89,122,161,166,181],"processes":[16,123],"of":[17,86,128,136,160,179,189],"systems.":[18],"For":[19,37],"age-dependent":[20],"models,":[23,39],"RUL":[25,52,138,150,170],"probability":[26,110],"density":[27],"function":[28],"(PDF)":[29],"can":[30],"be":[31,98],"calculated":[32],"using":[33,57,124,195],"a":[34,47,58,73,125,148,158],"closed-form":[35,48],"solution.":[36,49,186],"state-dependent":[38,131],"however,":[40],"it":[41,70],"is":[42,53,95,140,153,172,193],"difficult":[43],"calculate":[45],"such":[46],"Therefore,":[50],"always":[54],"approximately":[55],"estimated":[56,173],"sequential":[59],"Monte":[60],"Carlo-based":[61],"method,":[62,157],"but":[63],"this":[64,156],"method":[65,152,192],"has":[66],"some":[67],"limitations.":[68],"First,":[69],"only":[71],"provides":[72],"numerical":[74],"approximation":[75],"result":[76,114],"whose":[77],"accuracy":[78],"highly":[79],"relies":[80],"on":[81],"quality":[83],"and":[84,130],"quantity":[85],"simulated":[88],"trajectories.":[90],"Second,":[91],"time":[93],"interval":[94],"unable":[96],"adjusted":[99],"during":[100],"state":[102,177],"transition":[103],"process,":[104],"resulting":[105],"in":[106,112],"too":[107],"few":[108],"discrete":[109],"densities":[111],"near":[115],"end-of-life.":[117],"This":[118],"paper":[119],"describes":[120],"general":[126,144],"expression":[127],"age-":[129],"models.":[132],"The":[133,169,187],"analytical":[134,185],"solution":[135],"PDF":[139,171],"derived":[141],"from":[142],"expression.":[145],"After":[146],"that,":[147],"new":[149],"prediction":[151],"proposed.":[154],"series":[159],"trajectories":[162,182],"generated":[164],"through":[165],"simulation.":[168],"by":[174],"inputting":[175],"values":[178],"into":[183],"validity":[188],"proposed":[191],"verified":[194],"fatigue-crack-growth":[196],"data.":[197]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
