{"id":"https://openalex.org/W2049304166","doi":"https://doi.org/10.1109/tr.1979.5220639","title":"An Efficient Bottom-up Algorithm for Enumerating Minimal Cut Sets of Fault Trees","display_name":"An Efficient Bottom-up Algorithm for Enumerating Minimal Cut Sets of Fault Trees","publication_year":1979,"publication_date":"1979-12-01","ids":{"openalex":"https://openalex.org/W2049304166","doi":"https://doi.org/10.1109/tr.1979.5220639","mag":"2049304166"},"language":"en","primary_location":{"id":"doi:10.1109/tr.1979.5220639","doi":"https://doi.org/10.1109/tr.1979.5220639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.1979.5220639","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"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 Reliability","raw_type":"journal-article"},"volume":null,"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/A5015754641","display_name":"Kyoichi Nakashima","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kyoichi Nakashima","raw_affiliation_strings":["Himeji Institute of Technology, Himeji, Japan","Department of Electronics; Himeji Institute of Technology; 2167, Shosha, Himeji-shi; Himeji, 671-22 JAPAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Himeji Institute of Technology, Himeji, Japan","institution_ids":[]},{"raw_affiliation_string":"Department of Electronics; Himeji Institute of Technology; 2167, Shosha, Himeji-shi; Himeji, 671-22 JAPAN","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030365589","display_name":"Yoshio Hattori","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshio Hattori","raw_affiliation_strings":["Kyoto University, Kyoto, Japan","Institute of Atomic Energy, Kyoto University Uji, Kyoto 611 Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Institute of Atomic Energy, Kyoto University Uji, Kyoto 611 Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":1.0118,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.80858806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"R-28","issue":"5","first_page":"353","last_page":"357"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11357","display_name":"Risk and Safety Analysis","score":0.9164999723434448,"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"}},"topics":[{"id":"https://openalex.org/T11357","display_name":"Risk and Safety Analysis","score":0.9164999723434448,"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.05050000175833702,"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/T13293","display_name":"Engineering and Test Systems","score":0.003800000064074993,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fault-trees","display_name":"fault trees","score":0.906000018119812},{"id":"https://openalex.org/keywords/minimal-cut-sets","display_name":"minimal cut sets","score":0.9980000257492065},{"id":"https://openalex.org/keywords/bottom-up-algorithm","display_name":"bottom-up algorithm","score":0.703000009059906},{"id":"https://openalex.org/keywords/distribution-rules","display_name":"distribution rules","score":0.8050000071525574},{"id":"https://openalex.org/keywords/reliability-analysis","display_name":"reliability analysis","score":0.5600000023841858}],"concepts":[{"id":"https://openalex.org/C107094494","wikidata":"https://www.wikidata.org/wiki/Q428453","display_name":"Fault tree analysis","level":2,"score":0.6816731691360474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6520992517471313},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6206768155097961},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4931430220603943},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4739515781402588},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.4572254717350006},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.45397424697875977},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.42536792159080505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40892040729522705},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3430824875831604},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2270270586013794},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.12117481231689453},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09450599551200867},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08672100305557251},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"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/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.1979.5220639","doi":"https://doi.org/10.1109/tr.1979.5220639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.1979.5220639","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"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 Reliability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1491113077","https://openalex.org/W1984816663","https://openalex.org/W2007349044","https://openalex.org/W2011513116","https://openalex.org/W2038980954","https://openalex.org/W2131407220"],"related_works":["https://openalex.org/W2085988856","https://openalex.org/W1969343052","https://openalex.org/W2033396986","https://openalex.org/W2029070781","https://openalex.org/W106106972","https://openalex.org/W188430989","https://openalex.org/W1971104454","https://openalex.org/W2359259164","https://openalex.org/W2021260441","https://openalex.org/W2007349044"],"abstract_inverted_index":{"The":[0,52,65],"paper":[1],"improves":[2],"the":[3,20,31,75,85,88],"conventional":[4],"bottom-up":[5],"algorithm":[6,53],"for":[7,54,78],"enumerating":[8],"minimal":[9],"cut":[10],"sets":[11],"of":[12,23,47,87],"fault":[13],"tree.":[14],"It":[15],"is":[16,28,42,58,69],"proved":[17],"that,":[18],"when":[19],"logical":[21],"product":[22],"two":[24,48],"reduced":[25],"sum-of-product":[26,50],"forms":[27],"expanded":[29],"by":[30,44,62],"distribution":[32],"rule,":[33],"one":[34],"need":[35],"only":[36],"check":[37],"if":[38],"each":[39],"resulting":[40],"term":[41],"absorbed":[43],"some":[45],"terms":[46],"original":[49],"forms.":[51],"executing":[55],"this":[56],"process":[57],"presented":[59,82],"and":[60,74],"illustrated":[61],"an":[63],"example.":[64],"entire":[66],"computer":[67],"program":[68],"given":[70],"in":[71],"a":[72],"supplement":[73],"computational":[76],"results":[77],"several":[79],"examples":[80],"are":[81],"to":[83],"demonstrate":[84],"efficiency":[86],"algorithm.":[89]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
