{"id":"https://openalex.org/W2809459027","doi":"https://doi.org/10.1080/00207160.2018.1490018","title":"Equilibrium joining strategies in the single server queues with negative customers","display_name":"Equilibrium joining strategies in the single server queues with negative customers","publication_year":2018,"publication_date":"2018-06-18","ids":{"openalex":"https://openalex.org/W2809459027","doi":"https://doi.org/10.1080/00207160.2018.1490018","mag":"2809459027"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2018.1490018","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2018.1490018","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5043285564","display_name":"Ke Sun","orcid":"https://orcid.org/0000-0001-9451-0084"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Sun","raw_affiliation_strings":["Department of Mathematics, Beijing Jiaotong University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004800194","display_name":"Jinting Wang","orcid":"https://orcid.org/0000-0003-4946-2719"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinting Wang","raw_affiliation_strings":["Department of Mathematics, Beijing Jiaotong University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004800194"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":null,"apc_paid":null,"fwci":0.9656,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.7941569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"96","issue":"6","first_page":"1169","last_page":"1191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998999834060669,"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/T11720","display_name":"Probability and Risk Models","score":0.9708999991416931,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.9617999792098999,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/unobservable","display_name":"Unobservable","score":0.9750981330871582},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.7150537967681885},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6689579486846924},{"id":"https://openalex.org/keywords/join","display_name":"Join (topology)","score":0.6400595307350159},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.6139474511146545},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5796118974685669},{"id":"https://openalex.org/keywords/profit-maximization","display_name":"Profit maximization","score":0.496415913105011},{"id":"https://openalex.org/keywords/profit","display_name":"Profit (economics)","score":0.4918048679828644},{"id":"https://openalex.org/keywords/complete-information","display_name":"Complete information","score":0.45949745178222656},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4562455713748932},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.37811461091041565},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.268038272857666},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.25250014662742615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23762360215187073},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.17806321382522583},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.17782065272331238},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1699698269367218}],"concepts":[{"id":"https://openalex.org/C2780695315","wikidata":"https://www.wikidata.org/wiki/Q3799040","display_name":"Unobservable","level":2,"score":0.9750981330871582},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.7150537967681885},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6689579486846924},{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.6400595307350159},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.6139474511146545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5796118974685669},{"id":"https://openalex.org/C2777780509","wikidata":"https://www.wikidata.org/wiki/Q1377422","display_name":"Profit maximization","level":3,"score":0.496415913105011},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.4918048679828644},{"id":"https://openalex.org/C113336015","wikidata":"https://www.wikidata.org/wiki/Q574010","display_name":"Complete information","level":2,"score":0.45949745178222656},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4562455713748932},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.37811461091041565},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.268038272857666},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.25250014662742615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23762360215187073},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.17806321382522583},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.17782065272331238},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1699698269367218},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2018.1490018","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2018.1490018","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1498272490","display_name":null,"funder_award_id":"71390334","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4300030303","display_name":null,"funder_award_id":"71571014","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/W956769648","https://openalex.org/W1521183774","https://openalex.org/W1566442329","https://openalex.org/W1966549076","https://openalex.org/W1966570856","https://openalex.org/W1968773334","https://openalex.org/W1973764571","https://openalex.org/W1980030032","https://openalex.org/W1982796583","https://openalex.org/W1988576875","https://openalex.org/W1994306340","https://openalex.org/W2010470943","https://openalex.org/W2013513924","https://openalex.org/W2028560183","https://openalex.org/W2031314110","https://openalex.org/W2052417550","https://openalex.org/W2056377128","https://openalex.org/W2059809123","https://openalex.org/W2064118959","https://openalex.org/W2082228121","https://openalex.org/W2083701568","https://openalex.org/W2091135440","https://openalex.org/W2108508225","https://openalex.org/W2127427157","https://openalex.org/W2127503699","https://openalex.org/W2155402103","https://openalex.org/W2167563022","https://openalex.org/W2251074340","https://openalex.org/W2317879744","https://openalex.org/W2326983865","https://openalex.org/W2717702275","https://openalex.org/W2767262117","https://openalex.org/W2792143566","https://openalex.org/W4233978664","https://openalex.org/W4256608446"],"related_works":["https://openalex.org/W2614563012","https://openalex.org/W4293337373","https://openalex.org/W1968533609","https://openalex.org/W2486803649","https://openalex.org/W1984270607","https://openalex.org/W2151842462","https://openalex.org/W2349333549","https://openalex.org/W2116445905","https://openalex.org/W205202192","https://openalex.org/W3016468737"],"abstract_inverted_index":{"We":[0,77,116],"consider":[1,78],"an":[2,79,97],"M/M/1":[3],"queue":[4],"with":[5],"negative":[6,10],"customers.":[7],"An":[8],"arriving":[9],"customer":[11,20],"will":[12],"break":[13],"the":[14,18,29,35,50,53,57,69,83,89,94,109,123,132,157,163],"server":[15,36,58],"down":[16],"and":[17,96,108,126,141,165],"positive":[19,43,61,84],"being":[21],"served":[22],"(if":[23],"any)":[24],"is":[25,37,59,139],"forced":[26],"to":[27,48,65,155],"leave":[28],"system.":[30],"Once":[31],"a":[32,73,118,127],"breakdown":[33],"occurs,":[34],"sent":[38],"immediately":[39],"for":[40],"repair":[41,54],"while":[42],"customers":[44,92],"are":[45,86,114,153],"not":[46],"allowed":[47],"join":[49,66],"system":[51,70,95],"during":[52],"process.":[55],"When":[56],"available,":[60],"arrivals":[62,85],"decide":[63],"whether":[64],"or":[67],"balk":[68],"based":[71],"on":[72,162],"common":[74],"reward-cost":[75],"structure.":[76],"observable":[80,124],"case":[81,99,125],"that":[82],"informed":[87],"about":[88],"number":[90],"of":[91,159],"in":[93,122,131,146],"unobservable":[98,133],"without":[100],"any":[101],"information.":[102],"The":[103,135],"corresponding":[104],"Nash":[105],"equilibrium":[106],"strategies":[107,113,145,164],"socially":[110,119],"optimal":[111,120,144],"joining":[112,129],"explored.":[115],"get":[117],"threshold":[121],"mixed":[128],"strategy":[130],"case.":[134],"profit":[136],"maximization":[137],"issue":[138],"studied,":[140],"we":[142],"derive":[143],"two":[147],"information":[148],"cases.":[149],"Finally,":[150],"numerical":[151],"examples":[152],"provided":[154],"show":[156],"influence":[158],"different":[160],"parameters":[161],"social":[166],"benefit.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}