{"id":"https://openalex.org/W4295854765","doi":"https://doi.org/10.1109/tr.2022.3200126","title":"Optimal Inspection Policy for a Three-Stage System Considering the Production Wait Time","display_name":"Optimal Inspection Policy for a Three-Stage System Considering the Production Wait Time","publication_year":2022,"publication_date":"2022-09-05","ids":{"openalex":"https://openalex.org/W4295854765","doi":"https://doi.org/10.1109/tr.2022.3200126"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2022.3200126","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2022.3200126","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/A5073973267","display_name":"Gang Kou","orcid":"https://orcid.org/0000-0002-9220-8647"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gang Kou","raw_affiliation_strings":["School of Business Administration, Faculty of Business Administration, Southwestern University of Finance and Economics, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, Faculty of Business Administration, Southwestern University of Finance and Economics, Chengdu, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001422105","display_name":"Yaying Liu","orcid":"https://orcid.org/0000-0001-7203-5868"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaying Liu","raw_affiliation_strings":["School of Management Science and Engineering, Southwestern University of Finance and Economics, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Southwestern University of Finance and Economics, Chengdu, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066361885","display_name":"Hui Xiao","orcid":"https://orcid.org/0000-0003-0666-3633"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Xiao","raw_affiliation_strings":["School of Management Science and Engineering, Southwestern University of Finance and Economics, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Southwestern University of Finance and Economics, Chengdu, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081036659","display_name":"Rui Peng","orcid":"https://orcid.org/0000-0001-6596-0334"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Peng","raw_affiliation_strings":["School of Economics and Management, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073973267"],"corresponding_institution_ids":["https://openalex.org/I204831749"],"apc_list":null,"apc_paid":null,"fwci":3.1958,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.91459477,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"72","issue":"3","first_page":"934","last_page":"949"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9994000196456909,"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":0.9994000196456909,"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/T10663","display_name":"Advanced Battery Technologies Research","score":0.9894999861717224,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9807999730110168,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.7429431080818176},{"id":"https://openalex.org/keywords/optimal-maintenance","display_name":"Optimal maintenance","score":0.6599459648132324},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.5714268088340759},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5605867505073547},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.554594874382019},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5195032358169556},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5169669985771179},{"id":"https://openalex.org/keywords/maintenance-engineering","display_name":"Maintenance engineering","score":0.5127171277999878},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4667062759399414},{"id":"https://openalex.org/keywords/condition-based-maintenance","display_name":"Condition-based maintenance","score":0.4455226957798004},{"id":"https://openalex.org/keywords/idle","display_name":"Idle","score":0.44216105341911316},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.43444934487342834},{"id":"https://openalex.org/keywords/inspection-time","display_name":"Inspection time","score":0.4282369017601013},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3291739225387573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11528286337852478}],"concepts":[{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.7429431080818176},{"id":"https://openalex.org/C2776671899","wikidata":"https://www.wikidata.org/wiki/Q7098945","display_name":"Optimal maintenance","level":2,"score":0.6599459648132324},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.5714268088340759},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5605867505073547},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.554594874382019},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5195032358169556},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5169669985771179},{"id":"https://openalex.org/C23725684","wikidata":"https://www.wikidata.org/wiki/Q616377","display_name":"Maintenance engineering","level":2,"score":0.5127171277999878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4667062759399414},{"id":"https://openalex.org/C2776907094","wikidata":"https://www.wikidata.org/wiki/Q1043452","display_name":"Condition-based maintenance","level":2,"score":0.4455226957798004},{"id":"https://openalex.org/C16320812","wikidata":"https://www.wikidata.org/wiki/Q1812200","display_name":"Idle","level":2,"score":0.44216105341911316},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.43444934487342834},{"id":"https://openalex.org/C2780407802","wikidata":"https://www.wikidata.org/wiki/Q6146499","display_name":"Inspection time","level":2,"score":0.4282369017601013},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3291739225387573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11528286337852478},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C138496976","wikidata":"https://www.wikidata.org/wiki/Q175002","display_name":"Developmental psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2022.3200126","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2022.3200126","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/G2122410980","display_name":null,"funder_award_id":"71910107002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5047243247","display_name":null,"funder_award_id":"71971176","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6579710696","display_name":null,"funder_award_id":"72071005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6782222568","display_name":null,"funder_award_id":"71725001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7838403498","display_name":null,"funder_award_id":"JBK2103010","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1968175476","https://openalex.org/W1977305158","https://openalex.org/W1984322385","https://openalex.org/W2013641085","https://openalex.org/W2037088445","https://openalex.org/W2062562261","https://openalex.org/W2068141620","https://openalex.org/W2131820609","https://openalex.org/W2153591206","https://openalex.org/W2253190554","https://openalex.org/W2293772046","https://openalex.org/W2538353202","https://openalex.org/W2560317790","https://openalex.org/W2577713878","https://openalex.org/W2603245151","https://openalex.org/W2739926169","https://openalex.org/W2779676471","https://openalex.org/W2792483925","https://openalex.org/W2793033056","https://openalex.org/W2800594358","https://openalex.org/W2810889034","https://openalex.org/W2875625889","https://openalex.org/W2896353728","https://openalex.org/W2897216508","https://openalex.org/W2898300812","https://openalex.org/W2900019985","https://openalex.org/W2953918905","https://openalex.org/W2955135053","https://openalex.org/W2964682231","https://openalex.org/W2975677389","https://openalex.org/W2979514407","https://openalex.org/W2985465748","https://openalex.org/W2998897999","https://openalex.org/W3015730656","https://openalex.org/W3018718829","https://openalex.org/W3026432090","https://openalex.org/W3037319445","https://openalex.org/W3044850015","https://openalex.org/W3088885230","https://openalex.org/W3104348375","https://openalex.org/W3197686284","https://openalex.org/W3203583429","https://openalex.org/W4236258233"],"related_works":["https://openalex.org/W3049049469","https://openalex.org/W2888808644","https://openalex.org/W1987745029","https://openalex.org/W2585580176","https://openalex.org/W2154660294","https://openalex.org/W2165300301","https://openalex.org/W2160198307","https://openalex.org/W3187804119","https://openalex.org/W2889062169","https://openalex.org/W2958672639"],"abstract_inverted_index":{"Inspection":[0],"is":[1,32,59,78,102,158],"usually":[2],"carried":[3],"out":[4],"periodically":[5],"to":[6,22,49,160],"update":[7],"a":[8,75,134],"system":[9,41,55,77],"state":[10],"such":[11],"that":[12],"the":[13,24,36,40,54,62,71,94,106,110,130,140,145,152,162],"optimal":[14,107,163],"maintenance":[15,28,97,149,166],"policy":[16],"can":[17],"be":[18],"determined.":[19],"In":[20,68],"order":[21],"obtain":[23],"best":[25],"inspection":[26,112,128,147],"and":[27,114,142,148,172],"policy,":[29],"existing":[30],"research":[31],"focused":[33],"on":[34],"improving":[35],"modeling":[37],"accuracy":[38,141],"of":[39,53,74,85,92,109,133,144,155,165],"failure":[42,72],"process.":[43],"Little":[44],"work":[45],"has":[46],"been":[47],"devoted":[48],"making":[50],"full":[51],"use":[52],"idle":[56],"time,":[57],"which":[58],"known":[60],"as":[61],"production":[63,66,87],"wait":[64,88],"in":[65,80],"systems.":[67],"this":[69,118,123],"research,":[70],"process":[73],"single-unit":[76,119],"modeled":[79],"three":[81],"stages":[82],"with":[83,125],"consideration":[84],"its":[86],"time.":[89],"The":[90,175],"objective":[91],"minimizing":[93],"long-run":[95],"average":[96],"cost":[98,170],"per":[99],"unit":[100],"time":[101],"achieved":[103],"by":[104],"finding":[105],"length":[108],"periodic":[111],"interval":[113],"renewal":[115],"age":[116],"for":[117,168,181],"system.":[120],"By":[121],"comparing":[122],"model":[124],"two":[126],"two-stage":[127],"models,":[129],"numerical":[131],"study":[132],"real":[135],"steelmaking":[136],"converter":[137],"confirms":[138],"both":[139],"effectiveness":[143],"proposed":[146],"model.":[150],"Furthermore,":[151],"sensitivity":[153],"analysis":[154,176],"different":[156,169],"parameters":[157,171],"conducted":[159],"explore":[161],"choice":[164],"strategy":[167],"degradation":[173],"parameters.":[174],"provides":[177],"useful":[178],"management":[179],"insights":[180],"decision-makers.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
