{"id":"https://openalex.org/W2022488800","doi":"https://doi.org/10.1109/tr.2015.2394382","title":"Non-Homogeneous 1-Out-of-<formula formulatype=\"inline\"><tex Notation=\"TeX\">${N}$</tex></formula> Warm Standby Systems With Random Replacement Times","display_name":"Non-Homogeneous 1-Out-of-<formula formulatype=\"inline\"><tex Notation=\"TeX\">${N}$</tex></formula> Warm Standby Systems With Random Replacement Times","publication_year":2015,"publication_date":"2015-02-04","ids":{"openalex":"https://openalex.org/W2022488800","doi":"https://doi.org/10.1109/tr.2015.2394382","mag":"2022488800"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2015.2394382","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2015.2394382","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,"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"},"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/A5022208409","display_name":"Gregory Levitin","orcid":"https://orcid.org/0000-0002-2107-8291"},"institutions":[{"id":"https://openalex.org/I80687555","display_name":"Israel Electric (Israel)","ror":"https://ror.org/01p8dnv11","country_code":"IL","type":"company","lineage":["https://openalex.org/I80687555"]},{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN","IL"],"is_corresponding":true,"raw_author_name":"Gregory Levitin","raw_affiliation_strings":["The Israel Electric Corporation, Haifa, Israel","University of Electronic Science and Technology of China, School of Computer Science"],"affiliations":[{"raw_affiliation_string":"The Israel Electric Corporation, Haifa, Israel","institution_ids":["https://openalex.org/I80687555"]},{"raw_affiliation_string":"University of Electronic Science and Technology of China, School of Computer Science","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114377940","display_name":"Liudong Xing","orcid":"https://orcid.org/0000-0003-1606-1644"},"institutions":[{"id":"https://openalex.org/I100633361","display_name":"University of Massachusetts Dartmouth","ror":"https://ror.org/00fzmm222","country_code":"US","type":"education","lineage":["https://openalex.org/I100633361"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Liudong Xing","raw_affiliation_strings":["University of Massachusetts, Dartmouth, MA, USA"],"affiliations":[{"raw_affiliation_string":"University of Massachusetts, Dartmouth, MA, USA","institution_ids":["https://openalex.org/I100633361"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113616242","display_name":"Yuanshun Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanshun Dai","raw_affiliation_strings":["University of Electronic Science and Technology of China, School of Computer Science"],"affiliations":[{"raw_affiliation_string":"University of Electronic Science and Technology of China, School of Computer Science","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022208409"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I80687555"],"apc_list":null,"apc_paid":null,"fwci":7.961,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.96791956,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"64","issue":"2","first_page":"819","last_page":"828"},"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":0.9871000051498413,"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/T10663","display_name":"Advanced Battery Technologies Research","score":0.9735000133514404,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/reliability","display_name":"Reliability (semiconductor)","score":0.6470685005187988},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.6108649969100952},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5549441576004028},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.5087822079658508},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4834383428096771},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.46238937973976135},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46144384145736694},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3459649085998535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2581544518470764},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15856295824050903},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10615238547325134},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.07344257831573486}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.6470685005187988},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.6108649969100952},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5549441576004028},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.5087822079658508},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4834383428096771},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.46238937973976135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46144384145736694},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3459649085998535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2581544518470764},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15856295824050903},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10615238547325134},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.07344257831573486},{"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/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2015.2394382","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2015.2394382","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,"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":[{"display_name":"Industry, innovation and infrastructure","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W51548053","https://openalex.org/W641762877","https://openalex.org/W1523087909","https://openalex.org/W1550064664","https://openalex.org/W1784889716","https://openalex.org/W1887070155","https://openalex.org/W1976051795","https://openalex.org/W1977551002","https://openalex.org/W1985188459","https://openalex.org/W2005396113","https://openalex.org/W2007100591","https://openalex.org/W2014500386","https://openalex.org/W2014578871","https://openalex.org/W2016264363","https://openalex.org/W2026888215","https://openalex.org/W2027404203","https://openalex.org/W2027485747","https://openalex.org/W2031523168","https://openalex.org/W2033724226","https://openalex.org/W2033997465","https://openalex.org/W2048162783","https://openalex.org/W2051247433","https://openalex.org/W2051289505","https://openalex.org/W2051661022","https://openalex.org/W2060748057","https://openalex.org/W2063931928","https://openalex.org/W2070645909","https://openalex.org/W2076191301","https://openalex.org/W2082839354","https://openalex.org/W2087696187","https://openalex.org/W2088612589","https://openalex.org/W2088702111","https://openalex.org/W2093312049","https://openalex.org/W2093551656","https://openalex.org/W2114553080","https://openalex.org/W2120772990","https://openalex.org/W2123608693","https://openalex.org/W2127657102","https://openalex.org/W2129734500","https://openalex.org/W2132032636","https://openalex.org/W2135433898","https://openalex.org/W2141563236","https://openalex.org/W2144723768","https://openalex.org/W2148508636","https://openalex.org/W2148606018","https://openalex.org/W2153891136","https://openalex.org/W2165046421","https://openalex.org/W2199152955","https://openalex.org/W2312852230","https://openalex.org/W2335490637","https://openalex.org/W2360113645","https://openalex.org/W2492863595","https://openalex.org/W2727420541","https://openalex.org/W2795854098","https://openalex.org/W2997771246","https://openalex.org/W3023540311","https://openalex.org/W3148449840","https://openalex.org/W4233921518","https://openalex.org/W4234841995","https://openalex.org/W4242763519","https://openalex.org/W6639440546","https://openalex.org/W6658552755"],"related_works":["https://openalex.org/W2033512842","https://openalex.org/W4322734194","https://openalex.org/W1607054433","https://openalex.org/W3005535424","https://openalex.org/W4233600955","https://openalex.org/W2913665393","https://openalex.org/W2369695847","https://openalex.org/W2994319598","https://openalex.org/W2110842462","https://openalex.org/W4233757488"],"abstract_inverted_index":{"In":[0],"standby":[1,17,34,74,99,167,193,260],"systems,":[2,59],"when":[3],"an":[4,207],"online":[5],"working":[6],"element":[7,174,252],"fails,":[8],"a":[9,16,44],"replacement":[10,41,62,88,120,253,265],"procedure":[11,42,63],"is":[12,53,125,149,187],"initiated":[13,224],"to":[14,26,152,211,263,270],"activate":[15],"unit":[18],"which":[19,220],"will":[20],"take":[21,65],"over":[22],"the":[23,28,61,83,86,129,133,141,155,164,177,190,204,214,217,221,229,240,250,257,272],"mission":[24,144,156,160,172,178,199,230],"task":[25],"sustain":[27],"system":[29,102,124,215,261],"function.":[30],"Existing":[31],"works":[32],"on":[33,176,239],"systems":[35,194],"have":[36,111],"mostly":[37],"assumed":[38],"that":[39,67,189],"such":[40],"takes":[43],"negligible":[45],"or":[46],"fixed":[47],"amount":[48,135],"of":[49,85,136,163,170,206,213],"time.":[50,145],"This":[51,76],"assumption":[52],"not":[54,105],"practical":[55],"in":[56,90,219],"many":[57],"real-world":[58],"where":[60],"can":[64,110,227],"times":[66,89],"are":[68,104,184,223,268],"random":[69,87,264],"and":[70,92,118,158,173,180,225,232,248,275],"different":[71,73,108,112,115,119,171],"for":[72,256],"elements.":[75],"paper":[77],"makes":[78],"novel":[79],"contributions":[80],"by":[81],"considering":[82],"effects":[84],"analyzing":[91],"optimizing":[93],"1-out-of-":[94],"N:":[95],"G":[96],"non-repairable":[97],"warm":[98,166,192,259],"systems.":[100],"The":[101,123],"elements":[103,109,130,222],"necessarily":[106],"identical;":[107],"time-to-failure":[113],"distributions,":[114],"performance":[116],"levels,":[117],"time":[121,162,183,235],"distributions.":[122],"considered":[126,165,191,258,273],"failed":[127],"if":[128],"cannot":[131],"complete":[132],"specified":[134],"work":[137],"(mission":[138],"task)":[139],"within":[140],"maximum":[142],"allowed":[143],"A":[146],"numerical":[147,242],"algorithm":[148],"first":[150],"proposed":[151,276],"simultaneously":[153],"evaluate":[154],"reliability":[157,179,200,231],"expected":[159,181],"completion":[161,182,234],"system.":[168],"Influences":[169],"parameters":[175],"investigated.":[185],"It":[186],"revealed":[188],"exhibit":[195],"non-coherent":[196],"behavior":[197],"as":[198],"may":[201],"increase":[202],"with":[203],"decrease":[205],"element's":[208],"reliability.":[209],"Due":[210],"heterogeneity":[212],"elements,":[216],"order":[218],"replaced":[226],"affect":[228],"actual":[233],"significantly.":[236],"Therefore,":[237],"based":[238],"suggested":[241],"evaluation":[243],"algorithm,":[244],"we":[245],"further":[246],"formulate":[247],"solve":[249],"optimal":[251],"sequencing":[254],"problem":[255],"subject":[262],"times.":[266],"Examples":[267],"given":[269],"demonstrate":[271],"problems":[274],"methodology.":[277]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}