Analysis of a Hierarchical Structured Queuing System With Three Service Channels, and Chances of Repetition of Service With Feedback

Abstract

The paper deals with the analysis of a queuing system with three service channels wherein a customer after getting the service from first server may leaves the system or may moves to the second server according as he/she is satisfied with service of first customer or not. However, the customer after getting the service from second or third server may moves to any server or may leaves the system. Repetition of service by a server may also be there but allowed only once. The steady-state equations have been derived for finding mean queue length using generating function technique.