{"id":"https://openalex.org/W2928204450","doi":"https://doi.org/10.1109/tsmc.2019.2906550","title":"Reliability Modeling for Sparsely Connected Homogeneous Multistate Consecutive-k-Out-of-n: GSystems","display_name":"Reliability Modeling for Sparsely Connected Homogeneous Multistate Consecutive-k-Out-of-n: GSystems","publication_year":2019,"publication_date":"2019-04-02","ids":{"openalex":"https://openalex.org/W2928204450","doi":"https://doi.org/10.1109/tsmc.2019.2906550","mag":"2928204450"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2019.2906550","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2906550","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5000178593","display_name":"Hongda Gao","orcid":"https://orcid.org/0000-0001-9707-9330"},"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":"Hongda Gao","raw_affiliation_strings":["School of Management and Economics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-9707-9330","affiliations":[{"raw_affiliation_string":"School of Management and Economics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","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 and Economics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-8987-4307","affiliations":[{"raw_affiliation_string":"School of Management and Economics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100765308","display_name":"Jianhui Chen","orcid":"https://orcid.org/0000-0001-7954-3574"},"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":"Jianhui Chen","raw_affiliation_strings":["School of Management and Economics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management and Economics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I125839683"],"apc_list":null,"apc_paid":null,"fwci":2.3987,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.86963672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"51","issue":"3","first_page":"1844","last_page":"1854"},"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/T11357","display_name":"Risk and Safety Analysis","score":0.9990000128746033,"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":0.9975000023841858,"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":0.7156204581260681},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6040871739387512},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.527381181716919},{"id":"https://openalex.org/keywords/p-system","display_name":"P system","score":0.5272986888885498},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4904934763908386},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.47870755195617676},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4765344560146332},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.47186511754989624},{"id":"https://openalex.org/keywords/pipeline","display_name":"Pipeline (software)","score":0.4577644169330597},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.42822709679603577},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.42440056800842285},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.42302244901657104},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3717324733734131},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.327161967754364},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2974446713924408},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13922852277755737},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08776795864105225}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.7156204581260681},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6040871739387512},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.527381181716919},{"id":"https://openalex.org/C70641290","wikidata":"https://www.wikidata.org/wiki/Q176974","display_name":"P system","level":2,"score":0.5272986888885498},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4904934763908386},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.47870755195617676},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4765344560146332},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.47186511754989624},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.4577644169330597},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.42822709679603577},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.42440056800842285},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.42302244901657104},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3717324733734131},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.327161967754364},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2974446713924408},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13922852277755737},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08776795864105225},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2019.2906550","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2906550","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.6399999856948853,"display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G118908669","display_name":null,"funder_award_id":"71871021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5929484033","display_name":"\u7cfb\u7edf\u53ef\u9760\u6027\u5efa\u6a21\u4e0e\u5206\u6790\u7684\u7406\u8bba\u4e0e\u65b9\u6cd5\u7814\u7a76","funder_award_id":"71631001","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":38,"referenced_works":["https://openalex.org/W257990352","https://openalex.org/W642414339","https://openalex.org/W1574146411","https://openalex.org/W1760712508","https://openalex.org/W1978087978","https://openalex.org/W1996923794","https://openalex.org/W2008312948","https://openalex.org/W2009629869","https://openalex.org/W2016312593","https://openalex.org/W2018983027","https://openalex.org/W2020598658","https://openalex.org/W2023252602","https://openalex.org/W2030694062","https://openalex.org/W2040526657","https://openalex.org/W2044783355","https://openalex.org/W2059795097","https://openalex.org/W2062210780","https://openalex.org/W2071907743","https://openalex.org/W2077176289","https://openalex.org/W2078710351","https://openalex.org/W2090723062","https://openalex.org/W2099577607","https://openalex.org/W2110269451","https://openalex.org/W2111959704","https://openalex.org/W2113227534","https://openalex.org/W2133939054","https://openalex.org/W2142577553","https://openalex.org/W2143394407","https://openalex.org/W2143861988","https://openalex.org/W2159854031","https://openalex.org/W2164671238","https://openalex.org/W2171356700","https://openalex.org/W2300797344","https://openalex.org/W2325167669","https://openalex.org/W2342726990","https://openalex.org/W2588639369","https://openalex.org/W2750031545","https://openalex.org/W4229663176"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2370289839","https://openalex.org/W2082716031","https://openalex.org/W2933494595","https://openalex.org/W4313347705","https://openalex.org/W1568049691","https://openalex.org/W1590096425","https://openalex.org/W2890485617"],"abstract_inverted_index":{"Compared":[0],"to":[1,94],"binary-state":[2],"system":[3,7,60,73,79,86,113],"models,":[4],"multistate":[5],"(MS)":[6],"models":[8,35],"are":[9,92,124,134],"more":[10],"practical":[11],"and":[12,27,81,115,131],"useful":[13],"when":[14],"describing":[15],"complex":[16],"systems":[17],"in":[18],"applications,":[19],"such":[20],"as":[21,49],"communication":[22],"systems,":[23,26],"oil":[24],"pipeline":[25],"grid":[28],"or":[29],"cloud":[30],"computing":[31],"infrastructures.":[32],"This":[33],"paper":[34],"a":[36,50,69,82],"generalized":[37],"sparsely":[38],"connected":[39],"MS":[40,66],"consecutive-k-out-of-n:":[41],"G":[42,72,78,85],"system.":[43,56],"The":[44],"proposed":[45,59],"model":[46,61],"is":[47],"regarded":[48],"natural":[51],"extension":[52],"of":[53,98,122],"the":[54,58,96,99,104,111,119,128],"consecutive-k-out-of-n":[55],"Moreover,":[57],"could":[62],"cover":[63],"three":[64,120],"special":[65],"submodels,":[67],"i.e.,":[68],"decreasing":[70],"MS:":[71,77,84],"model,":[74,80],"an":[75],"increasing":[76],"nonmonotonic":[83],"model.":[87,100],"Three":[88],"corresponding":[89],"real-world":[90],"examples":[91],"given":[93],"illustrate":[95],"applications":[97],"Meanwhile,":[101],"by":[102,136],"utilizing":[103],"well-known":[105],"finite":[106],"Markov":[107],"chain":[108],"imbedding":[109],"method,":[110],"explicit":[112],"reliability":[114],"state":[116],"distribution":[117],"for":[118],"kinds":[121],"submodels":[123],"presented,":[125],"respectively.":[126],"Finally,":[127],"developed":[129],"indexes":[130],"analysis":[132],"method":[133],"demonstrated":[135],"numerical":[137],"examples.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}