Mathematical modeling of feedback bitandem queue network with linkage to common channel

The present paper makes an attempt to model a network of queues in which a common service channel is linked with each of two biserial channels along with a feedback from common channel i.e., arrival and service pattern both follow poisson distribution. All the activity in the system is performed under stochastic environment. The differential difference equations have been framed for the model and steady state behavior of the system has been studied.

The system performance characteristics have been determined by using generating function technique, laws of calculus, statistical formulae of marginal distribution etc. Numerical illustration has been given to demonstrate the result. The model finds its application in industries, banking system, administrative setup, computer network, super markets and many other business service systems.