{"id":"https://openalex.org/W4416101129","doi":"https://doi.org/10.1051/ro/2025150","title":"Optimal joining strategy and pricing analysis in unreliable retrial queues with predictive maintenance","display_name":"Optimal joining strategy and pricing analysis in unreliable retrial queues with predictive maintenance","publication_year":2025,"publication_date":"2025-11-11","ids":{"openalex":"https://openalex.org/W4416101129","doi":"https://doi.org/10.1051/ro/2025150"},"language":null,"primary_location":{"id":"doi:10.1051/ro/2025150","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025150","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1051/ro/2025150","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Fan Xu","orcid":"https://orcid.org/0000-0003-4304-3417"},"institutions":[{"id":"https://openalex.org/I137867983","display_name":"Central University of Finance and Economics","ror":"https://ror.org/008e3hf02","country_code":"CN","type":"education","lineage":["https://openalex.org/I137867983"]},{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fan Xu","raw_affiliation_strings":["School of Management Science and Engineering, Central University of Finance and Economics","School of Science, Yanshan University, Qinhuangdao"],"raw_orcid":"https://orcid.org/0000-0003-4304-3417","affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Central University of Finance and Economics","institution_ids":["https://openalex.org/I137867983"]},{"raw_affiliation_string":"School of Science, Yanshan University, Qinhuangdao","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086277382","display_name":"Ruiling Tian","orcid":"https://orcid.org/0000-0003-4958-4433"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruiling Tian","raw_affiliation_strings":["School of Science, Yanshan University, Qinhuangdao"],"raw_orcid":"https://orcid.org/0000-0003-4958-4433","affiliations":[{"raw_affiliation_string":"School of Science, Yanshan University, Qinhuangdao","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101260173","display_name":"Qi Shao","orcid":null},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]},{"id":"https://openalex.org/I4385474403","display_name":"Changchun University of Technology","ror":"https://ror.org/052pakb34","country_code":null,"type":"education","lineage":["https://openalex.org/I4385474403"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Shao","raw_affiliation_strings":["College of Humanities and Information, Changchun University of Technology, Changchun","School of Science, Yanshan University, Qinhuangdao"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Humanities and Information, Changchun University of Technology, Changchun","institution_ids":["https://openalex.org/I4385474403"]},{"raw_affiliation_string":"School of Science, Yanshan University, Qinhuangdao","institution_ids":["https://openalex.org/I39333907"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8334,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77057327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"60","issue":"1","first_page":"55","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9156000018119812,"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":0.9156000018119812,"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.06610000133514404,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11941","display_name":"Power System Reliability and Maintenance","score":0.00559999980032444,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.5728999972343445},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5666999816894531},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4641000032424927},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.4275999963283539},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.41440001130104065},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.39010000228881836},{"id":"https://openalex.org/keywords/service-provider","display_name":"Service provider","score":0.34529998898506165},{"id":"https://openalex.org/keywords/optimal-maintenance","display_name":"Optimal maintenance","score":0.3449999988079071}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6187999844551086},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.5728999972343445},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5666999816894531},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5652999877929688},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4641000032424927},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.4275999963283539},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.41440001130104065},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.39010000228881836},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3564999997615814},{"id":"https://openalex.org/C116537","wikidata":"https://www.wikidata.org/wiki/Q2169973","display_name":"Service provider","level":3,"score":0.34529998898506165},{"id":"https://openalex.org/C2776671899","wikidata":"https://www.wikidata.org/wiki/Q7098945","display_name":"Optimal maintenance","level":2,"score":0.3449999988079071},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.34389999508857727},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.33820000290870667},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.326200008392334},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.2978000044822693},{"id":"https://openalex.org/C2779307879","wikidata":"https://www.wikidata.org/wiki/Q18394151","display_name":"Retrial queue","level":4,"score":0.27900001406669617},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2669000029563904},{"id":"https://openalex.org/C70452415","wikidata":"https://www.wikidata.org/wiki/Q3182448","display_name":"Predictive maintenance","level":2,"score":0.25699999928474426},{"id":"https://openalex.org/C150325174","wikidata":"https://www.wikidata.org/wiki/Q4335500","display_name":"Optimal decision","level":3,"score":0.25619998574256897},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2533000111579895},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.2515000104904175}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2025150","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025150","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2025150","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025150","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2057723730","display_name":null,"funder_award_id":"71971189","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1503571710","https://openalex.org/W1521183774","https://openalex.org/W1786686177","https://openalex.org/W1965988171","https://openalex.org/W1978218463","https://openalex.org/W2012651791","https://openalex.org/W2046374051","https://openalex.org/W2052157665","https://openalex.org/W2077273886","https://openalex.org/W2091135440","https://openalex.org/W2251074340","https://openalex.org/W2323913807","https://openalex.org/W2398041293","https://openalex.org/W2603066586","https://openalex.org/W2612349134","https://openalex.org/W2770660449","https://openalex.org/W2786605775","https://openalex.org/W2919213616","https://openalex.org/W2942658465","https://openalex.org/W2969976553","https://openalex.org/W3033777149","https://openalex.org/W3046048107","https://openalex.org/W3159322187","https://openalex.org/W4200254427","https://openalex.org/W4211043792","https://openalex.org/W4225342150","https://openalex.org/W4233978664","https://openalex.org/W4249296667","https://openalex.org/W4252223054","https://openalex.org/W4282962252","https://openalex.org/W4386698877","https://openalex.org/W4392912224","https://openalex.org/W4393992546","https://openalex.org/W4406064981","https://openalex.org/W4407775709"],"related_works":[],"abstract_inverted_index":{"The":[0],"timely":[1],"improvement":[2],"of":[3,79,88,147],"systems,":[4],"based":[5],"on":[6,93],"the":[7,10,35,42,47,62,71,76,80,86,94,98,109,119,145,148,152],"feedback":[8],"from":[9,85],"service":[11,32],"data,":[12],"is":[13,33,83,113],"becoming":[14],"an":[15,52],"increasingly":[16],"common":[17],"practice":[18],"to":[19,40,117,132],"enhance":[20],"system":[21,135],"reliability.":[22],"This":[23],"generates":[24],"a":[25,158,165],"novel":[26],"predictive":[27,38,59,81],"maintenance":[28,39,82],"policy:":[29],"after":[30],"each":[31],"completed,":[34],"server":[36],"performs":[37],"reduce":[41],"server\u2019s":[43],"failure":[44],"rate":[45],"at":[46],"next":[48],"service.":[49],"We":[50],"study":[51],"unreliable":[53],"M/G/":[54],"1":[55],"retrial":[56],"queue":[57],"with":[58],"maintenance.":[60],"First,":[61],"stationary":[63],"distribution":[64],"and":[65,102,123,164],"performance":[66],"measures":[67],"are":[68,106,130],"analyzed":[69],"using":[70,157],"supplementary":[72],"variable":[73],"method.":[74],"Then,":[75],"threshold":[77],"strategy":[78,101,105,112],"proposed":[84],"perspective":[87],"customers\u2019":[89,138],"waiting":[90],"time.":[91],"Based":[92],"linear":[95],"reward-cost":[96],"structure,":[97],"customer\u2019s":[99],"equilibrium":[100,122],"socially":[103,124,153],"optimal":[104,110,125,154],"derived.":[107],"Next,":[108],"pricing":[111],"obtained,":[114],"in":[115],"order":[116],"eliminate":[118],"difference":[120],"between":[121],"strategies.":[126],"Finally,":[127],"numerical":[128],"examples":[129,142],"provided":[131],"illustrate":[133],"how":[134],"parameters":[136],"affect":[137],"strategic":[139],"behavior.":[140],"These":[141],"also":[143],"demonstrate":[144],"accuracy":[146],"closed-form":[149],"solution":[150],"for":[151],"joining":[155],"probability":[156],"Particle":[159],"Swarm":[160],"Optimization":[161],"(PSO)":[162],"algorithm":[163],"Genetic":[166],"Algorithm":[167],"(GA).":[168]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-07T06:14:10.401900","created_date":"2025-11-11T00:00:00"}
