The present paper deals with the study of mathematical and graphical study of waiting time of service of a customer. The queuing system has four servers for the service of customers in hierarchical order. A customer, after getting service from a server may leave the system or may go for further service to the higher order server depending upon the need of service but cannot go for service more than two times. The arrival and service pattern are assumed to follow the Poisson process. The waiting time of customer for the service has been calculated from the mean queue length obtained by using generating function technique.
Keywords: Feedback, Queuing System, Poisson Process, Four Server, Waiting Time.
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