Perceptualization Of Parametric Study Onimprecise Queuing In A Two-Stage Model With No Waiting Line Between Channels

Abstract

Thisarticleproposesageneralproceduretoconstructthemembershipfunctions of the performance measures in queuing systems when the inter arrival rateandservice timeare fuzzynumbers.We explore a proposedfuzzyqueuingmodelwith two consecutive stations (stages), each with a single server, where there is noqueue at station 2 and no limitations at station 1. A FCFS service discipline exists inwhich theinput streamis poisson having fuzzyarrival rate. Anycustomer’sservice

timeatserver(i=1,2)isexponentialwithfuzzyparameter

_i.Asaresult,the

membershipfunctionsofthesteadystateperformancemeasuresinatwo–stagemodel fuzzy queuing system is obtained from distinct values of , using a parametricprogrammingapproach.Theefficacyoftheproposedapproachisvalidatedwithnumericalillustration.