On Steady State Behaviour of a Network Queuing Model with Biserial and Parallel Channels Linked With a Common Server

Abstract

This paper is an attempt to study the steady state behaviour of a complex Network queuing model in which a common channel is linked in series with each of two systems, one containing two bi-serial channels and other three parallel channels in series. The arrivals of service pattern follow Poisson law. The generating function technique, law of calculus and statistical tools have been used to find the various queue characteristics. The model finds its application in decision making in the process industries, in banking, in networking, in business service and in many administrative setups. A computer programme followed by a numerical example is also given to justify the model.