{"id":"https://openalex.org/W3038591636","doi":"https://doi.org/10.1051/ro/2020074","title":"Bernoulli vacation model for <i>M</i><sup>X</sup><i>/G/</i>1 unreliable server retrial queue with bernoulli feedback, balking and optional service","display_name":"Bernoulli vacation model for <i>M</i><sup>X</sup><i>/G/</i>1 unreliable server retrial queue with bernoulli feedback, balking and optional service","publication_year":2020,"publication_date":"2020-06-30","ids":{"openalex":"https://openalex.org/W3038591636","doi":"https://doi.org/10.1051/ro/2020074","mag":"3038591636"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2020074","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2020074","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro190419.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"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":null,"license_id":null,"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":"bronze","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro190419.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003896096","display_name":"Madhu Jain","orcid":"https://orcid.org/0000-0002-8183-5338"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Madhu Jain","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India","institution_ids":["https://openalex.org/I154851008"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100620707","display_name":"Sandeep Kaur","orcid":"https://orcid.org/0000-0002-3245-4395"},"institutions":[{"id":"https://openalex.org/I165682329","display_name":"Guru Nanak Dev University","ror":"https://ror.org/05ghzpa93","country_code":"IN","type":"education","lineage":["https://openalex.org/I165682329"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sandeep Kaur","raw_affiliation_strings":["Department of Mathematics, Guru Nanak Dev University, Amritsar 143005, India"],"raw_orcid":"https://orcid.org/0000-0002-3245-4395","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Guru Nanak Dev University, Amritsar 143005, India","institution_ids":["https://openalex.org/I165682329"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0209,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.87892216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"55","issue":null,"first_page":"S2027","last_page":"S2053"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.949400007724762,"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/T11720","display_name":"Probability and Risk Models","score":0.9369999766349792,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/retrial-queue","display_name":"Retrial queue","score":0.9087280035018921},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.8528410196304321},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6952438950538635},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6439406871795654},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.6129064559936523},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4878413677215576},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.42015159130096436},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.32291728258132935},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23895958065986633},{"id":"https://openalex.org/keywords/queueing-system","display_name":"Queueing system","score":0.1465032398700714},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1218675971031189},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.06822934746742249}],"concepts":[{"id":"https://openalex.org/C2779307879","wikidata":"https://www.wikidata.org/wiki/Q18394151","display_name":"Retrial queue","level":4,"score":0.9087280035018921},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.8528410196304321},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6952438950538635},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6439406871795654},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.6129064559936523},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4878413677215576},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.42015159130096436},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.32291728258132935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23895958065986633},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.1465032398700714},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1218675971031189},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.06822934746742249},{"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/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2020074","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2020074","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro190419.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2021__55_S1_S2027_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2020074/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2020074","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2020074","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro190419.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3038591636.pdf","grobid_xml":"https://content.openalex.org/works/W3038591636.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W888867014","https://openalex.org/W1159075069","https://openalex.org/W1552891542","https://openalex.org/W1607626154","https://openalex.org/W1812038535","https://openalex.org/W1974784016","https://openalex.org/W1978248815","https://openalex.org/W1994315048","https://openalex.org/W1995875735","https://openalex.org/W1999325308","https://openalex.org/W2005098937","https://openalex.org/W2006235159","https://openalex.org/W2025400209","https://openalex.org/W2025743491","https://openalex.org/W2028145630","https://openalex.org/W2034975464","https://openalex.org/W2046218043","https://openalex.org/W2046650903","https://openalex.org/W2046831464","https://openalex.org/W2047498382","https://openalex.org/W2089254048","https://openalex.org/W2093774742","https://openalex.org/W2093817726","https://openalex.org/W2117766116","https://openalex.org/W2166995601","https://openalex.org/W2228029713","https://openalex.org/W2486916347","https://openalex.org/W2490468087","https://openalex.org/W2496035994","https://openalex.org/W2538841599","https://openalex.org/W2592917662","https://openalex.org/W2765371045","https://openalex.org/W2780907486","https://openalex.org/W2800813510","https://openalex.org/W2801542271","https://openalex.org/W2898013809","https://openalex.org/W2978725006","https://openalex.org/W2993383518","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2068942304","https://openalex.org/W2070696286","https://openalex.org/W4386698877","https://openalex.org/W3038591636","https://openalex.org/W2509309664","https://openalex.org/W2359730803","https://openalex.org/W4386768880","https://openalex.org/W2009261453","https://openalex.org/W2069637937","https://openalex.org/W2120073347"],"abstract_inverted_index":{"The":[0,60,175],"study":[1,197],"of":[2,18,36,80,98,106,114,128,198,238],"unreliable":[3],"server":[4,30,152],"retrial":[5,49],"bulk":[6],"queue":[7,142,161],"with":[8,33,64,70],"multiphase":[9],"optional":[10,67,81],"service":[11,35,54,68,72,90,134],"is":[12,31,62,102,135,148,173,228],"analyzed":[13],"by":[14,57,126,204,215,220],"incorporating":[15],"the":[16,26,29,34,37,43,48,88,99,115,133,137,141,151,154,160,179,199,205,210,222,236,239],"features":[17],"balking,":[19],"Bernoulli":[20,23,146],"vacation":[21,147],"and":[22,51,73,164,183,209,243],"feedback.":[24],"On":[25],"occasion":[27],"when":[28],"occupied":[32],"customers,":[38],"an":[39,103],"arriving":[40],"customer":[41,75,138],"finding":[42],"long":[44],"queue,":[45],"can":[46,76,91,139],"join":[47],"orbit":[50],"receives":[52],"its":[53],"later":[55],"on":[56,124],"making":[58],"re-attempt.":[59],"system":[61,166],"reinforced":[63],"multi":[65,107],"phase":[66,108],"along":[69],"essential":[71,85],"joining":[74],"opt":[77],"any":[78,129],"one":[79],"services":[82],"after":[83],"getting":[84],"service.":[86],"Furthermore,":[87],"essential/optional":[89],"be":[92,122],"aborted":[93],"due":[94],"to":[95,111,150,230],"abrupt":[96],"failure":[97],"server.":[100],"There":[101],"immediate":[104],"support":[105],"repair":[109,120],"facility":[110],"take":[112],"care":[113],"failed":[116],"server,":[117],"but":[118],"sometimes":[119],"may":[121],"put":[123],"hold":[125],"virtue":[127],"unexpected":[130],"cause.":[131],"If":[132],"unsatisfactory,":[136],"rejoin":[140],"as":[143],"feedback":[144],"customer.":[145],"permitted":[149],"following":[153],"respective":[155],"busy":[156],"period.":[157],"For":[158],"evaluating":[159],"size":[162],"distribution":[163],"other":[165],"performance":[167],"metrics,":[168],"supplementary":[169,206],"variable":[170,207],"technique":[171,208],"(SVT)":[172],"used.":[174],"approximate":[176,211],"solutions":[177],"for":[178],"steady":[180],"state":[181],"probabilities":[182],"waiting":[184,201,212],"time":[185,202,213],"are":[186],"suggested":[187],"using":[188,216],"maximum":[189,217],"entropy":[190,218],"principle":[191,219],"(MEP).":[192],"We":[193],"perform":[194],"a":[195],"comparative":[196],"exact":[200],"obtained":[203],"derived":[214],"taking":[221],"numerical":[223,241],"illustration.":[224],"Quasi":[225],"Newton":[226],"method":[227],"used":[229],"find":[231],"optimal":[232],"cost.":[233],"To":[234],"verify":[235],"outcomes":[237],"model,":[240],"illustrations":[242],"senstivity":[244],"analysis":[245],"have":[246],"been":[247],"accomplished.":[248]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-07T06:14:10.401900","created_date":"2025-10-10T00:00:00"}
