On Designing a Stochastic Queue Model For Passport Office System

During last two decades, the research analysts are making efforts in designing such queue models which are applicable for real world scenario. This study deals to frame a queue model which arises when people are being asked for issuing the passport to a person against his/her application getting through online or directly to the service counter. The applicant has to pass in phases through many service channels arranged in semi series in order to get clearance for the delivery of passport. In such situations the arrival pattern as well as the service pattern of customers are time independent i.e., the steady state is reached. The service is supposed to be completed only when the concerned applicant pass through all the phases and depart from the system for getting delivery of passport at home. A stochastic model is designed assuming arrival and service pattern both follow Poisson probability distribution. The designed model can also be applied in administrative setup, manufacturing concerns and other public life.