{"id":"https://openalex.org/W7117554943","doi":"https://doi.org/10.1002/qre.70141","title":"Reliability Analysis for Systems Working in Dynamic Environment With Dependent Competing Failure Processes","display_name":"Reliability Analysis for Systems Working in Dynamic Environment With Dependent Competing Failure Processes","publication_year":2025,"publication_date":"2025-12-30","ids":{"openalex":"https://openalex.org/W7117554943","doi":"https://doi.org/10.1002/qre.70141"},"language":"en","primary_location":{"id":"doi:10.1002/qre.70141","is_oa":false,"landing_page_url":"https://doi.org/10.1002/qre.70141","pdf_url":null,"source":{"id":"https://openalex.org/S165633816","display_name":"Quality and Reliability Engineering International","issn_l":"0748-8017","issn":["0748-8017","1099-1638"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Quality and Reliability Engineering International","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/A5101739657","display_name":"Guanjun Wang","orcid":"https://orcid.org/0000-0002-0696-1182"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanjun Wang","raw_affiliation_strings":["School of Mathematics Southeast University Nanjing China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Southeast University Nanjing China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077254367","display_name":"Peng Liu","orcid":"https://orcid.org/0000-0001-7207-4592"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Liu","raw_affiliation_strings":["School of Mathematics Southeast University Nanjing China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Southeast University Nanjing China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121578930","display_name":"Fengjun Duan","orcid":null},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fengjun Duan","raw_affiliation_strings":["School of Economics Nanjing University of Finance and Economics Nanjing China"],"affiliations":[{"raw_affiliation_string":"School of Economics Nanjing University of Finance and Economics Nanjing China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5121560913","display_name":"Keyang Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Keyang Xia","raw_affiliation_strings":["School of Mathematics Southeast University Nanjing China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Southeast University Nanjing China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5121578930"],"corresponding_institution_ids":["https://openalex.org/I137056471"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.67646005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"3","first_page":"1333","last_page":"1346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.95169997215271,"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":0.95169997215271,"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/T11357","display_name":"Risk and Safety Analysis","score":0.014800000004470348,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.0071000000461936,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.7793999910354614},{"id":"https://openalex.org/keywords/degradation","display_name":"Degradation (telecommunications)","score":0.746999979019165},{"id":"https://openalex.org/keywords/shock","display_name":"Shock (circulatory)","score":0.6521999835968018},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6353999972343445},{"id":"https://openalex.org/keywords/gamma-process","display_name":"Gamma process","score":0.5005000233650208},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4797999858856201},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.46070000529289246},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4505999982357025}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.7793999910354614},{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.746999979019165},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.699400007724762},{"id":"https://openalex.org/C2781300812","wikidata":"https://www.wikidata.org/wiki/Q178061","display_name":"Shock (circulatory)","level":2,"score":0.6521999835968018},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6353999972343445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5130000114440918},{"id":"https://openalex.org/C79495835","wikidata":"https://www.wikidata.org/wiki/Q5520315","display_name":"Gamma process","level":2,"score":0.5005000233650208},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4797999858856201},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.46070000529289246},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4505999982357025},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.43810001015663147},{"id":"https://openalex.org/C201729545","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability theory","level":3,"score":0.4171000123023987},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4154999852180481},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.3874000012874603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34779998660087585},{"id":"https://openalex.org/C166144826","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson process","level":3,"score":0.3158000111579895},{"id":"https://openalex.org/C163164238","wikidata":"https://www.wikidata.org/wiki/Q2737027","display_name":"Failure rate","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27559998631477356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2752000093460083},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.26339998841285706},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26080000400543213},{"id":"https://openalex.org/C112987892","wikidata":"https://www.wikidata.org/wiki/Q5051574","display_name":"Catastrophic failure","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C32645036","wikidata":"https://www.wikidata.org/wiki/Q475164","display_name":"Stochastic ordering","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/qre.70141","is_oa":false,"landing_page_url":"https://doi.org/10.1002/qre.70141","pdf_url":null,"source":{"id":"https://openalex.org/S165633816","display_name":"Quality and Reliability Engineering International","issn_l":"0748-8017","issn":["0748-8017","1099-1638"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Quality and Reliability Engineering International","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5254661440849304,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W2002352409","https://openalex.org/W2005171207","https://openalex.org/W2114087231","https://openalex.org/W2561574304","https://openalex.org/W2605853136","https://openalex.org/W2611848954","https://openalex.org/W2791797670","https://openalex.org/W2883606902","https://openalex.org/W2886446843","https://openalex.org/W2906551329","https://openalex.org/W3125178931","https://openalex.org/W3159506350","https://openalex.org/W3204818524","https://openalex.org/W3205439563","https://openalex.org/W4212785101","https://openalex.org/W4296691684","https://openalex.org/W4307287950","https://openalex.org/W4312068334","https://openalex.org/W4320180321","https://openalex.org/W4378673867","https://openalex.org/W4385597382","https://openalex.org/W4386142827","https://openalex.org/W4386573914","https://openalex.org/W4392655472","https://openalex.org/W4394596552"],"related_works":[],"abstract_inverted_index":{"ABSTRACT":[0],"This":[1],"paper":[2],"aims":[3],"to":[4,143,155],"conduct":[5],"the":[6,48,62,73,80,85,113,126,132,145,148,157,160,164],"reliability":[7,127,146],"analysis":[8],"for":[9],"systems":[10],"working":[11],"in":[12,131],"random":[13],"environments.":[14],"The":[15,31,76,94],"system's":[16,86],"internal":[17],"degradation":[18,50,68,88],"follows":[19],"a":[20,28,40,91,99,104],"gamma":[21],"process,":[22],"whereas":[23],"external":[24],"environmental":[25],"shocks":[26],"follow":[27],"Poisson":[29],"process.":[30,43],"environment":[32],"varies":[33],"over":[34],"time,":[35],"which":[36,70],"is":[37,129,141],"characterized":[38],"by":[39],"continuous\u2010time":[41],"Markov":[42],"In":[44],"different":[45],"environments,":[46],"both":[47],"system":[49,63,81,95,149],"evolution":[51],"and":[52,119,163],"shock":[53,59,74],"occurrence":[54],"process":[55],"are":[56,153],"different.":[57],"A":[58],"either":[60],"fails":[61],"immediately":[64],"or":[65,103],"increases":[66],"its":[67],"amount,":[69],"depends":[71],"on":[72,112],"load.":[75],"soft":[77,100],"failure":[78,101,106],"of":[79,115,125,134,147,159,166],"takes":[82],"place":[83],"when":[84,98],"total":[87],"amount":[89],"exceeds":[90],"given":[92],"threshold.":[93],"breaks":[96],"down":[97],"occurs":[102,109],"hard":[105],"occurs,":[107],"whichever":[108],"first.":[110],"Based":[111],"technique":[114],"Laplace\u2013Stieltjes":[116],"(L\u2010S)":[117],"transform":[118],"matrix":[120],"operation,":[121],"an":[122],"analytical":[123],"formula":[124],"function":[128],"obtained":[130],"form":[133],"double":[135],"L\u2010S":[136],"transform.":[137],"An":[138],"approximate":[139],"algorithm":[140],"developed":[142],"calculate":[144],"efficiently.":[150],"Finally,":[151],"examples":[152],"provided":[154],"show":[156],"effectiveness":[158],"proposed":[161],"method":[162],"applicability":[165],"our":[167],"model.":[168]},"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-12-30T00:00:00"}