{"id":"https://openalex.org/W4284898532","doi":"https://doi.org/10.1109/icphm53196.2022.9815744","title":"On the Number of Bounded Renewals in Two-Unit Systems with Critical Components","display_name":"On the Number of Bounded Renewals in Two-Unit Systems with Critical Components","publication_year":2022,"publication_date":"2022-06-06","ids":{"openalex":"https://openalex.org/W4284898532","doi":"https://doi.org/10.1109/icphm53196.2022.9815744"},"language":"en","primary_location":{"id":"doi:10.1109/icphm53196.2022.9815744","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icphm53196.2022.9815744","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Conference on Prognostics and Health Management (ICPHM)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5103237866","display_name":"Guanchen Li","orcid":"https://orcid.org/0000-0002-3493-8887"},"institutions":[{"id":"https://openalex.org/I110378019","display_name":"Southern Illinois University Carbondale","ror":"https://ror.org/049kefs16","country_code":"US","type":"education","lineage":["https://openalex.org/I110378019","https://openalex.org/I2801502357"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guanchen Li","raw_affiliation_strings":["Southern Illinois University,School of Electrical, Computer, and Biomedical Engineering,Carbondale,IL,USA","School of Electrical, Computer, and Biomedical Engineering, Southern Illinois University, Carbondale, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southern Illinois University,School of Electrical, Computer, and Biomedical Engineering,Carbondale,IL,USA","institution_ids":["https://openalex.org/I110378019"]},{"raw_affiliation_string":"School of Electrical, Computer, and Biomedical Engineering, Southern Illinois University, Carbondale, IL, USA","institution_ids":["https://openalex.org/I110378019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009349080","display_name":"Dimitri Kagaris","orcid":"https://orcid.org/0000-0003-2061-5080"},"institutions":[{"id":"https://openalex.org/I110378019","display_name":"Southern Illinois University Carbondale","ror":"https://ror.org/049kefs16","country_code":"US","type":"education","lineage":["https://openalex.org/I110378019","https://openalex.org/I2801502357"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitri Kagaris","raw_affiliation_strings":["Southern Illinois University,School of Electrical, Computer, and Biomedical Engineering,Carbondale,IL,USA","School of Electrical, Computer, and Biomedical Engineering, Southern Illinois University, Carbondale, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southern Illinois University,School of Electrical, Computer, and Biomedical Engineering,Carbondale,IL,USA","institution_ids":["https://openalex.org/I110378019"]},{"raw_affiliation_string":"School of Electrical, Computer, and Biomedical Engineering, Southern Illinois University, Carbondale, IL, USA","institution_ids":["https://openalex.org/I110378019"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I110378019"],"apc_list":null,"apc_paid":null,"fwci":3.7177,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.93046033,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"40","last_page":"47"},"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":0.9995999932289124,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9911999702453613,"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/bounded-function","display_name":"Bounded function","score":0.8634556531906128},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.6094826459884644},{"id":"https://openalex.org/keywords/supervisor","display_name":"Supervisor","score":0.5169307589530945},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.48262080550193787},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.47607511281967163},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41307342052459717},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38395482301712036},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33612948656082153},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19698774814605713},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15952426195144653},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1368761956691742}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8634556531906128},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.6094826459884644},{"id":"https://openalex.org/C2779110517","wikidata":"https://www.wikidata.org/wiki/Q1240788","display_name":"Supervisor","level":2,"score":0.5169307589530945},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.48262080550193787},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.47607511281967163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41307342052459717},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38395482301712036},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33612948656082153},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19698774814605713},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15952426195144653},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1368761956691742},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icphm53196.2022.9815744","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icphm53196.2022.9815744","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Conference on Prognostics and Health Management (ICPHM)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1971870250","https://openalex.org/W1974754823","https://openalex.org/W1980524980","https://openalex.org/W1992230925","https://openalex.org/W2003028183","https://openalex.org/W2070645909","https://openalex.org/W2073675620","https://openalex.org/W2082014272","https://openalex.org/W2108294659","https://openalex.org/W2123256345","https://openalex.org/W2134057305","https://openalex.org/W2134270577","https://openalex.org/W2164711520","https://openalex.org/W2290696661","https://openalex.org/W2319924045","https://openalex.org/W2513247613","https://openalex.org/W2803630696","https://openalex.org/W2903714212","https://openalex.org/W2945967979","https://openalex.org/W3037259019","https://openalex.org/W3187804119"],"related_works":["https://openalex.org/W4387731985","https://openalex.org/W2755149878","https://openalex.org/W2941808082","https://openalex.org/W2468425257","https://openalex.org/W4377009725","https://openalex.org/W4379086698","https://openalex.org/W2528721242","https://openalex.org/W4320164562","https://openalex.org/W2356364326","https://openalex.org/W2372069567"],"abstract_inverted_index":{"A":[0],"novel":[1],"mathematical":[2],"framework":[3,82],"is":[4,16,33,89,109,140],"proposed":[5],"for":[6,36,111,151,161,183],"studying":[7],"bounded":[8,122,164,171],"renewals":[9,117],"in":[10,126,133],"a":[11,22,27,105,128,134],"two-unit":[12],"system.":[13],"The":[14,31,59,113,170],"system":[15,49],"assumed":[17],"to":[18,91],"be":[19,57,92],"composed":[20],"of":[21,39,87,94,98,116,118,124,155,186],"main":[23],"unit":[24,29],"(MU)":[25],"and":[26,52,100,157,174],"supervisor":[28],"(SU).":[30],"SU":[32,45,76,99,125,139],"considered":[34],"critical":[35],"the":[37,40,44,47,75,81,121,138,147,162],"operation":[38],"system,":[41],"i.e.,":[42],"when":[43],"fails,":[46,104],"whole":[48],"shuts":[50],"down":[51],"no":[53],"more":[54],"maintenance/repair":[55],"can":[56,61],"conducted.":[58],"MU":[60,88,103,119,156],"undertake":[62],"corrective":[63],"maintenance":[64],"(i.e.,":[65],"either":[66],"full":[67,107],"replacement":[68,108],"or":[69],"as-good-as-new":[70],"repair)":[71],"as":[72,74,130,132],"long":[73],"has":[77],"not":[78],"failed.":[79],"In":[80],"studied":[83],"here,":[84],"each":[85],"failure":[86,97],"taken":[90],"prognostic":[93],"an":[95],"imminent":[96],"thus,":[101],"whenever":[102],"preventive":[106],"done":[110],"SU.":[112,158],"mean":[114],"number":[115],"under":[120],"lifetime":[123,153],"such":[127],"scenario,":[129],"well":[131],"simpler":[135],"one":[136],"where":[137],"never":[141],"maintained,":[142],"are":[143,167,177],"analyzed":[144],"by":[145,179],"expanding":[146],"standard":[148],"renewal":[149,165,172],"theory":[150],"arbitrary":[152],"distributions":[154],"Closed-form":[159],"approximations":[160,176],"new":[163],"functions":[166,173],"also":[168],"obtained.":[169],"their":[175],"validated":[178],"Monte":[180],"Carlo":[181],"simulations":[182],"various":[184],"combinations":[185],"distributions.":[187]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}