{"id":"https://openalex.org/W1967031140","doi":"https://doi.org/10.1080/00207720310001657027","title":"A two-unit parallel system supported by (<i>n</i>\u2212 2) standbys with general and non-identical lifetimes","display_name":"A two-unit parallel system supported by (<i>n</i>\u2212 2) standbys with general and non-identical lifetimes","publication_year":2004,"publication_date":"2004-01-15","ids":{"openalex":"https://openalex.org/W1967031140","doi":"https://doi.org/10.1080/00207720310001657027","mag":"1967031140"},"language":"en","primary_location":{"id":"doi:10.1080/00207720310001657027","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720310001657027","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://doi.org/10.1080/00207720310001657027","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035622945","display_name":"Effie Papageorgiou","orcid":"https://orcid.org/0000-0001-8475-3226"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Effie Papageorgiou","raw_affiliation_strings":["Department of Mathematics , National Technical University of Athens , 15780, Athens, Greece","Department of Mathematics National Technical University of Athens 15780 Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , National Technical University of Athens , 15780, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"Department of Mathematics National Technical University of Athens 15780 Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028704718","display_name":"George Kokolakis","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"George Kokolakis","raw_affiliation_strings":["Department of Mathematics , National Technical University of Athens , 15780, Athens, Greece","Department of Mathematics National Technical University of Athens 15780 Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , National Technical University of Athens , 15780, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"Department of Mathematics National Technical University of Athens 15780 Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035622945"],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":null,"apc_paid":null,"fwci":3.2984,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.91184871,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"1","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9979000091552734,"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":0.9979000091552734,"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":0.9936000108718872,"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":0.9757000207901001,"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/unit","display_name":"Unit (ring theory)","score":0.6923999190330505},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5430724620819092},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.5222880840301514},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4977433979511261},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4585144519805908},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4343584179878235},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4151134788990021},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3878864049911499},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24403440952301025},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17665746808052063},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17059949040412903},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06646880507469177},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.06337779760360718}],"concepts":[{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.6923999190330505},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5430724620819092},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.5222880840301514},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4977433979511261},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4585144519805908},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4343584179878235},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4151134788990021},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3878864049911499},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24403440952301025},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17665746808052063},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17059949040412903},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06646880507469177},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.06337779760360718},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207720310001657027","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720310001657027","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/15726","is_oa":true,"landing_page_url":"http://doi.org/10.1080/00207720310001657027","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Systems Science","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/15726","is_oa":true,"landing_page_url":"http://doi.org/10.1080/00207720310001657027","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Systems Science","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1968655763","https://openalex.org/W1972698021","https://openalex.org/W1985176759","https://openalex.org/W1998512594","https://openalex.org/W2006544675","https://openalex.org/W2042298942","https://openalex.org/W2047270212","https://openalex.org/W2056918522","https://openalex.org/W2064748712","https://openalex.org/W2076982935","https://openalex.org/W2095129681","https://openalex.org/W2335490637"],"related_works":["https://openalex.org/W2526245987","https://openalex.org/W4378551395","https://openalex.org/W779566600","https://openalex.org/W4308064958","https://openalex.org/W3217767640","https://openalex.org/W4226056425","https://openalex.org/W173377860","https://openalex.org/W4230526720","https://openalex.org/W2809630076","https://openalex.org/W1607663644"],"abstract_inverted_index":{"This":[0],"paper":[1],"examines":[2],"a":[3,7,85,99],"functioning":[4,66,108,122],"policy":[5],"of":[6,13,34,44,74,102,127,134,140],"parallel":[8],"system.":[9],"We":[10],"assume":[11],"availability":[12],"n":[14,47,77],"non-identical,":[15],"non-repairable":[16],"units":[17,23,51,69,112],"for":[18,98,123],"replacement":[19],"or":[20],"support.":[21],"Two":[22],"start":[24],"their":[25],"operation":[26],"simultaneously":[27],"at":[28,52],"times":[29,55],",":[30],"and":[31,105],"any":[32],"one":[33,43],"them":[35],"is":[36,65,121,143],"replaced":[37],"instantaneously":[38],"upon":[39],"its":[40],"failure":[41,73],"by":[42,145],"the":[45,63,72,75,119,124,132,135,141],"(":[46,57,76],"\u2212":[48,78],"2)":[49],"standby":[50],"random":[53],"starting":[54],"Si":[56],").":[58,92],"Thus,":[59],"with":[60,67],"probability":[61,117],"one,":[62],"system":[64,94,120,142],"two":[68],"up":[70],"till":[71],"1)th":[79],"unit.":[80],"Unit":[81],"lifetimes":[82,150],"Ti":[83],"have":[84],"general":[86],"joint":[87],"distribution":[88,133],"function":[89],"F(":[90],"t":[91],"The":[93,116,138],"has":[95],"to":[96],"operate":[97],"fixed":[100],"period":[101,126],"time,":[103],"c,":[104],"it":[106],"stops":[107],"when":[109],"all":[110],"available":[111],"fail":[113],"before":[114],"c.":[115],"that":[118],"required":[125],"time":[128],"c":[129],"depends":[130],"on":[131],"unit":[136,149],"lifetimes.":[137],"reliability":[139],"evaluated":[144],"recursive":[146],"relations.":[147],"Independent":[148],"are":[151],"considered":[152],"as":[153],"special":[154],"cases.":[155]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}