{"id":"https://openalex.org/W2120582172","doi":"https://doi.org/10.1142/s0217595913500036","title":"PERFORMANCE EVALUATION OF AGGREGATED MARKOV REPAIRABLE SYSTEMS WITH MULTI-OPERATING LEVELS","display_name":"PERFORMANCE EVALUATION OF AGGREGATED MARKOV REPAIRABLE SYSTEMS WITH MULTI-OPERATING LEVELS","publication_year":2013,"publication_date":"2013-07-05","ids":{"openalex":"https://openalex.org/W2120582172","doi":"https://doi.org/10.1142/s0217595913500036","mag":"2120582172"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595913500036","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595913500036","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5100404990","display_name":"Liying Wang","orcid":"https://orcid.org/0000-0001-5104-5434"},"institutions":[{"id":"https://openalex.org/I90090648","display_name":"Shijiazhuang Tiedao University","ror":"https://ror.org/022e9e065","country_code":"CN","type":"education","lineage":["https://openalex.org/I90090648"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LIYING WANG","raw_affiliation_strings":["Department of Mathematics &amp; Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics &amp; Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, P. R. China","institution_ids":["https://openalex.org/I90090648"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068547916","display_name":"Lirong Cui","orcid":"https://orcid.org/0000-0002-8987-4307"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LIRONG CUI","raw_affiliation_strings":["School of Management &amp; Economics, Beijing Institute of Technology, Beijing, 100081, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management &amp; Economics, Beijing Institute of Technology, Beijing, 100081, P. R. China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7795,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.87599497,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"30","issue":"04","first_page":"1350003","last_page":"1350003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":1.0,"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":1.0,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9951000213623047,"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"}},{"id":"https://openalex.org/T11357","display_name":"Risk and Safety Analysis","score":0.9940000176429749,"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/markov-chain","display_name":"Markov chain","score":0.7171881198883057},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6671991348266602},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.6031911373138428},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.598785400390625},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5844768285751343},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5527684092521667},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.5010471343994141},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.475953072309494},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4493459165096283},{"id":"https://openalex.org/keywords/imperfect","display_name":"Imperfect","score":0.42023685574531555},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40389448404312134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28330808877944946},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23318567872047424},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23265811800956726},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17921793460845947},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.07492402195930481}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7171881198883057},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6671991348266602},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6031911373138428},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.598785400390625},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5844768285751343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5527684092521667},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.5010471343994141},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.475953072309494},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4493459165096283},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.42023685574531555},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40389448404312134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28330808877944946},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23318567872047424},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23265811800956726},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17921793460845947},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.07492402195930481},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0217595913500036","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595913500036","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:30:y:2013:i:04:n:s0217595913500036","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595913500036","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"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:30:y:2013:i:04:p:1350003-1-1350003-27","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&amp;id=pii:S0217595913500036","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"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":17,"referenced_works":["https://openalex.org/W1965476983","https://openalex.org/W1998321136","https://openalex.org/W2019332081","https://openalex.org/W2020977657","https://openalex.org/W2031598376","https://openalex.org/W2031812418","https://openalex.org/W2035251727","https://openalex.org/W2052461311","https://openalex.org/W2056739524","https://openalex.org/W2069625526","https://openalex.org/W2083724308","https://openalex.org/W2124000105","https://openalex.org/W2165040966","https://openalex.org/W2313384958","https://openalex.org/W4229663176","https://openalex.org/W4239914154","https://openalex.org/W4249175968"],"related_works":["https://openalex.org/W1963865502","https://openalex.org/W2061728408","https://openalex.org/W2372005449","https://openalex.org/W1975472740","https://openalex.org/W2112543260","https://openalex.org/W2076477281","https://openalex.org/W2047641258","https://openalex.org/W2384669686","https://openalex.org/W1969295115","https://openalex.org/W3189051998"],"abstract_inverted_index":{"Many":[0],"multi-state":[1],"systems":[2,33,42,75],"settle":[3],"on":[4,228],"more":[5],"than":[6],"one":[7,27,85],"operating":[8,17,62,66,80,100,132,175],"levels":[9,101,176],"and":[10,64,157,177,191,204],"the":[11,47,49,94,120,123,145,152,162,165,170,182,185,192,210,219,222,229,234],"elementary":[12],"states":[13,51],"having":[14],"a":[15,60,71,78,83,168,195],"common":[16,61],"level":[18,63,67,81],"can":[19],"be":[20,106,115],"treated":[21],"as":[22,59,151],"one.":[23],"In":[24,46],"this":[25],"paper,":[26],"kind":[28],"of":[29,130,144,155,167,189,226],"such":[30,150],"Markov":[31,40],"repairable":[32,41],"is":[34,37,68,96,138,215,231],"introduced,":[35],"which":[36],"named":[38],"aggregated":[39],"with":[43],"multi-operating":[44],"levels.":[45,133],"system,":[48],"functioning":[50],"are":[52,91,103,109,159,197,207],"lumped":[53],"together":[54],"according":[55],"to":[56,82,105,128,140,180,217],"their":[57],"membership":[58],"each":[65],"characterized":[69],"by":[70],"performance":[72,142],"rate.":[73],"The":[74,112,224],"degrade":[76],"from":[77],"higher":[79],"lower":[84],"when":[86],"no":[87],"preventive":[88],"maintenances":[89],"(PMs)":[90],"performed.":[92],"While":[93],"system":[95,121,186,230],"in":[97,173,209,221],"some":[98],"deteriorated":[99],"that":[102,184],"easy":[104],"recognized":[107],"PMs":[108,113],"carried":[110],"out.":[111],"may":[114,125],"perfect":[116],"or":[117],"imperfect.":[118],"If":[119],"fails,":[122],"repairs":[124,156],"restore":[126],"it":[127],"any":[129],"its":[131],"A":[134,212],"multivariate":[135],"semi-Markov":[136],"process":[137,200],"build":[139],"describe":[141],"properties":[143],"system.":[146],"Several":[147],"reliability":[148],"indices":[149],"availability,":[153],"frequencies":[154],"failures":[158],"presented.":[160],"Furthermore,":[161],"up":[163],"time,":[164],"length":[166],"cycle,":[169],"sojourn":[171],"times":[172,183],"various":[174],"visiting":[178],"numbers":[179],"them,":[181],"satisfies":[187],"demands":[188],"customers":[190],"output":[193],"during":[194],"cycle":[196],"studied.":[198],"Semi-Markov":[199],"theory,":[201],"Laplace":[202],"transform":[203],"matrix":[205],"methods":[206],"employed":[208],"study.":[211],"numerical":[213,235],"example":[214],"given":[216],"illustrate":[218],"results":[220],"paper.":[223],"impact":[225],"PM":[227],"considered":[232],"through":[233],"illustration.":[236]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
