{"id":"https://openalex.org/W2320634334","doi":"https://doi.org/10.1109/tfuzz.2016.2544354","title":"Uncertain Random Renewal Reward Process With Application to Block Replacement Policy","display_name":"Uncertain Random Renewal Reward Process With Application to Block Replacement Policy","publication_year":2016,"publication_date":"2016-03-21","ids":{"openalex":"https://openalex.org/W2320634334","doi":"https://doi.org/10.1109/tfuzz.2016.2544354","mag":"2320634334"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2016.2544354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2016.2544354","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","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/A5101666888","display_name":"Kai Yao","orcid":"https://orcid.org/0000-0001-7741-6942"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Yao","raw_affiliation_strings":["School of Economics and Management, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002127031","display_name":"Jian Zhou","orcid":"https://orcid.org/0000-0001-7835-8879"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Zhou","raw_affiliation_strings":["School of Management, Shanghai University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-7835-8879","affiliations":[{"raw_affiliation_string":"School of Management, Shanghai University, Shanghai, China","institution_ids":["https://openalex.org/I113940042"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101666888"],"corresponding_institution_ids":["https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":2.546,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.89731416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"24","issue":"6","first_page":"1637","last_page":"1647"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/random-variable","display_name":"Random variable","score":0.7703981399536133},{"id":"https://openalex.org/keywords/renewal-theory","display_name":"Renewal theory","score":0.6176196336746216},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5668815970420837},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5662192702293396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5391059517860413},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4946286380290985},{"id":"https://openalex.org/keywords/uncertainty-theory","display_name":"Uncertainty theory","score":0.4699036478996277},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4660113453865051},{"id":"https://openalex.org/keywords/convergence-of-random-variables","display_name":"Convergence of random variables","score":0.41225308179855347},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3965911269187927},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1976802945137024}],"concepts":[{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.7703981399536133},{"id":"https://openalex.org/C110507122","wikidata":"https://www.wikidata.org/wiki/Q1356856","display_name":"Renewal theory","level":2,"score":0.6176196336746216},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5668815970420837},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5662192702293396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5391059517860413},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4946286380290985},{"id":"https://openalex.org/C51152595","wikidata":"https://www.wikidata.org/wiki/Q7882501","display_name":"Uncertainty theory","level":2,"score":0.4699036478996277},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4660113453865051},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.41225308179855347},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3965911269187927},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1976802945137024},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2016.2544354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2016.2544354","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8067537148","display_name":null,"funder_award_id":"61403360","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1510671518","https://openalex.org/W1511170401","https://openalex.org/W1512330333","https://openalex.org/W1512763107","https://openalex.org/W1929567380","https://openalex.org/W1966131816","https://openalex.org/W1968403936","https://openalex.org/W1973462921","https://openalex.org/W1980208943","https://openalex.org/W1984472815","https://openalex.org/W1990845486","https://openalex.org/W1996353961","https://openalex.org/W1999402496","https://openalex.org/W2009721924","https://openalex.org/W2009885925","https://openalex.org/W2011811434","https://openalex.org/W2014646107","https://openalex.org/W2019950953","https://openalex.org/W2047409839","https://openalex.org/W2054550614","https://openalex.org/W2060385055","https://openalex.org/W2074339547","https://openalex.org/W2093905688","https://openalex.org/W2127740852","https://openalex.org/W2128775105","https://openalex.org/W2132221037","https://openalex.org/W2133469585","https://openalex.org/W2136571141","https://openalex.org/W2139150116","https://openalex.org/W2142062936","https://openalex.org/W2143880419","https://openalex.org/W2151376743","https://openalex.org/W2187420580","https://openalex.org/W2274279545","https://openalex.org/W2414029657","https://openalex.org/W2517327589","https://openalex.org/W2518142518","https://openalex.org/W2615737084","https://openalex.org/W2912565176","https://openalex.org/W3011865677","https://openalex.org/W4211007335","https://openalex.org/W4230588984","https://openalex.org/W4232729308","https://openalex.org/W4234958908","https://openalex.org/W4235413109","https://openalex.org/W4285719527","https://openalex.org/W6640349673","https://openalex.org/W6678868654","https://openalex.org/W6682597882","https://openalex.org/W6686805072"],"related_works":["https://openalex.org/W2414029657","https://openalex.org/W2060385055","https://openalex.org/W2917004389","https://openalex.org/W138209035","https://openalex.org/W2965246392","https://openalex.org/W150281603","https://openalex.org/W2183541783","https://openalex.org/W3085309344","https://openalex.org/W2320634334","https://openalex.org/W2068135454"],"abstract_inverted_index":{"As":[0,132],"a":[1,30,56],"mixture":[2],"of":[3,26,32,59,90],"uncertain":[4,9,27,33,41,60,64,84,120,130,140,154],"variable":[5,11,121],"and":[6,39,74,83,97,128,145],"random":[7,10,28,34,42,61,65,81,125,141,155],"variable,":[8],"is":[12,95,101,107],"an":[13,40,49,119,133,139,147],"important":[14],"tool":[15],"to":[16,22,54,79,118],"describe":[17],"indeterminacy":[18],"phenomena.":[19],"In":[20],"order":[21],"model":[23,150],"the":[24,71,75,91,98,112,124,129,153],"evolution":[25],"phenomena,":[29],"concept":[31],"process":[35,44,94],"has":[36,45],"been":[37,46],"proposed,":[38],"renewal":[43,66,92,104,156],"designed":[47],"as":[48],"example.":[50],"This":[51],"paper":[52,136],"aims":[53],"propose":[55],"new":[57],"type":[58],"process,":[62,68],"called":[63],"reward":[67,93,99,105,113,157],"in":[69,116],"which":[70,109],"interarrival":[72,126],"times":[73,127],"rewards":[76],"are":[77],"assumed":[78],"be":[80],"variables":[82],"variables,":[85],"respectively.":[86],"The":[87],"chance":[88],"distribution":[89,117],"obtained,":[96],"rate":[100,114],"derived.":[102],"A":[103],"theorem":[106],"verified,":[108],"shows":[110],"that":[111],"converges":[115],"derived":[122],"from":[123],"rewards.":[131],"application,":[134],"this":[135],"also":[137],"proposes":[138],"block":[142],"replacement":[143],"problem":[144],"formulates":[146],"unconstrained":[148],"optimization":[149],"by":[151],"using":[152],"process.":[158]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}