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一类重试休假排队模型在银行排队系统中的应用.docx

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一类重试休假排队模型在银行排队系统中的应用 Title:ApplicationofaRetryVacationQueueingModelinBankingQueueingSystems Abstract: Queueingtheoryiswidelyusedinmanagingandoptimizingserviceprocessesinvariousindustries,includingthebankingsector.Thispaperexplorestheapplicationofaspecifictypeofqueueingmodel,knownastheRetryVacationQueueingModel,inthecontextofabankingqueueingsystem.Themodelisparticularlyusefulwhendealingwithsituationswherecustomerscanretrytheirservicerequestsafterexperiencingafailedattempt.ThisresearchaimstodemonstratethebenefitsandpotentialoptimizationsofemployingtheRetryVacationQueueingModelinbankingqueueingsystems. Introduction: Managingcustomerqueuesefficientlyispivotalforthesuccessofbanksinprovidingseamlesscustomerservicewhileminimizingwaitingtimes.Thepresenceofvariabilityincustomerarrivalrates,servicetimes,andservicefailuresmakesqueueingmodelsindispensableinproactivequeueingmanagement.TheRetryVacationQueueingModelpresentsaninnovativeapproachforhandlingfailedserviceattemptsinabankingsetting,ensuringasatisfactorycustomerexperiencewithminimizedwaitingtimes.Thispaperwilldelveintothetheoreticalaspectsofthemodelandprovidepracticalrecommendationsforitsimplementationinbankingqueueingsystems. 1.TheRetryVacationQueueingModelOverview: TheRetryVacationQueueingModelconsiderssituationswherecustomersareallowedtoretrytheirservicerequestsafterafailedattempt.Itassumesthatuponfailure,customersleavethesystemtemporarilyforacertaindurationbeforerejoiningthequeue.Thisduration,knownasthevacationtime,representsthetimetakenbythecustomertorecoverfromthefailedattempt,seekalternativesolutions,orcompletenecessarytasksbeforereturningforservice.Themodelcalculatestheprobabilityofacustomerretryingandtheexpectedwaitingtimeofcustomerswithinthesystem. 2.BenefitsofApplyingtheRetryVacationQueueingModelinBanking: 2.1ImprovedCustomerSatisfaction:Byallowingcustomerstoretrytheirservicerequests,themodelreducesthefrustrationcausedbyservicefailures.Thisleadstoincreasedcustomersatisfactionandloyalty. 2.2ReducedWaitingTimes: