{"id":"https://openalex.org/W2067881386","doi":"https://doi.org/10.1109/tr.2015.2417153","title":"Scheduling Preventive Maintenance as a Function of an Imperfect Inspection Interval","display_name":"Scheduling Preventive Maintenance as a Function of an Imperfect Inspection Interval","publication_year":2015,"publication_date":"2015-04-22","ids":{"openalex":"https://openalex.org/W2067881386","doi":"https://doi.org/10.1109/tr.2015.2417153","mag":"2067881386"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2015.2417153","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2015.2417153","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/A5101407800","display_name":"Kai He","orcid":"https://orcid.org/0000-0002-7036-7241"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kai He","raw_affiliation_strings":["Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA, United States","[Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, United States]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA, United States","institution_ids":["https://openalex.org/I170201317"]},{"raw_affiliation_string":"[Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, United States]","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056093343","display_name":"Lisa M. Maillart","orcid":"https://orcid.org/0000-0002-6321-2671"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lisa M. Maillart","raw_affiliation_strings":["Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA, United States","[Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, United States]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA, United States","institution_ids":["https://openalex.org/I170201317"]},{"raw_affiliation_string":"[Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, United States]","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057562290","display_name":"Oleg A. Prokopyev","orcid":"https://orcid.org/0000-0003-2888-8630"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oleg A. Prokopyev","raw_affiliation_strings":["Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA, United States","[Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, United States]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA, United States","institution_ids":["https://openalex.org/I170201317"]},{"raw_affiliation_string":"[Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, United States]","institution_ids":["https://openalex.org/I170201317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.8611,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.9733302,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"64","issue":"3","first_page":"983","last_page":"997"},"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9902999997138977,"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/T14138","display_name":"Life Cycle Costing Analysis","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1402","display_name":"Accounting"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.7217060327529907},{"id":"https://openalex.org/keywords/imperfect","display_name":"Imperfect","score":0.5993067622184753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.451861709356308},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4502515196800232},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41738396883010864},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38647693395614624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3777594566345215},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3405567407608032},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1639738380908966}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7217060327529907},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.5993067622184753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.451861709356308},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4502515196800232},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41738396883010864},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38647693395614624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3777594566345215},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3405567407608032},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1639738380908966},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2015.2417153","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2015.2417153","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":[],"awards":[{"id":"https://openalex.org/G5232690921","display_name":null,"funder_award_id":"CMMI-1100421","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6638278786","display_name":null,"funder_award_id":"FA9550-08-1-0268","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W130060982","https://openalex.org/W1963965434","https://openalex.org/W1977305158","https://openalex.org/W1991513691","https://openalex.org/W2004352453","https://openalex.org/W2024666582","https://openalex.org/W2027012102","https://openalex.org/W2031237588","https://openalex.org/W2043255718","https://openalex.org/W2061202562","https://openalex.org/W2085896549","https://openalex.org/W2093468313","https://openalex.org/W2104963777","https://openalex.org/W2119839346","https://openalex.org/W2127961211","https://openalex.org/W2131820609","https://openalex.org/W2142915533","https://openalex.org/W2147454550","https://openalex.org/W2153591206","https://openalex.org/W2159501681","https://openalex.org/W2160305672","https://openalex.org/W2168452204","https://openalex.org/W2301746362"],"related_works":["https://openalex.org/W2374250903","https://openalex.org/W2504004674","https://openalex.org/W1546413948","https://openalex.org/W2963177394","https://openalex.org/W1595229445","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W2263832889","https://openalex.org/W149041114"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3,21,34,63,75,146,156,199,204,214,226,231],"system":[4],"with":[5,47],"periodic":[6,9,29],"inspections":[7,30,110],"and":[8,15,43,71,101,127,166,182],"preventive":[10],"maintenance":[11,59],"(PM)":[12],"to":[13,90,194],"detect":[14,44],"correct":[16],"hidden":[17,45,64],"failures":[18,46],"that":[19,114,221],"generate":[20],"penalty":[22],"cost":[23,117],"per":[24,129],"unit":[25,130],"time":[26,77,131],"undetected.":[27],"Imperfect":[28],"(IPIs)":[31],"occur":[32],"at":[33,74],"chosen":[35,76],"interval":[36],"<formula":[37,49,78,95,103,149,160,177,183,235],"formulatype=\"inline\"":[38,50,79,96,104,150,161,178,184,236],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[39,51,80,97,105,151,162,179,185,237],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex":[40,81,106,163,180,186,238],"Notation=\"TeX\">$t$</tex></formula>":[41,100,154,187],",":[42,83,165],"probability":[48],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[52,98,152],"<tex":[53,99,153],"Notation=\"TeX\">$p\\in":[54],"(0,1)$</tex></formula>":[55],".":[56,188,240],"Both":[57],"reactive":[58],"(RM),":[60],"performed":[61,73],"when":[62],"failure":[65],"is":[66,89,132],"detected":[67],"by":[68],"an":[69,135],"IPI,":[70],"PM,":[72,126],"Notation=\"TeX\">$(n+1)t$</tex></formula>":[82],"renew":[84],"the":[85,92,115,120,143,168,172,210,223],"system.":[86],"The":[87],"objective":[88,173],"determine":[91],"optimal":[93,148,206,228],"frequency":[94],"quantity":[102],"Notation=\"TeX\">$n$</tex></formula>":[107,164,181,239],"of":[108,122,145,159,171,198,213,225,234],"imperfect":[109],"between":[111],"PM":[112],"such":[113],"expected":[116],"(which":[118],"includes":[119],"costs":[121],"undetected":[123],"failures,":[124],"IPIs,":[125],"RM)":[128],"minimized":[133],"over":[134],"infinite":[136],"horizon.":[137],"We":[138],"analytically":[139],"establish":[140],"conditions":[141,220],"for":[142,155,175,202,209,230],"existence":[144],"finite":[147],"given":[157,232],"value":[158,233],"discuss":[167],"asymptotic":[169],"behavior":[170],"function":[174],"large":[176],"These":[189],"results":[190],"are":[191],"further":[192],"exploited":[193],"describe":[195],"convergence":[196],"properties":[197],"proposed":[200],"approach":[201],"finding":[203],"globally":[205],"solution.":[207],"Also,":[208],"special":[211],"case":[212],"Weibull":[215],"time-to-failure":[216],"distribution,":[217],"we":[218],"derive":[219],"guarantee":[222],"uniqueness":[224],"locally":[227],"solution":[229]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}