An instantaneous control model for flow control in an ATM network

This paper is concerned with the optimal flow control of an ATM switching element in a broadband-integrated services digital network. We model the switching element as a stochastic fluid flow system with a finite buffer, a constant output rate server, and a Gaussian process to characterize the input, which is a heterogeneous set of traffic sources. The fluid level should be maintained between two levels namely b₁ and b₂ with b₁<b₂. We solve the problem using Brownian motion analysis and derive the limiting distribution for the queue length touching the critical levels. Also the application of instantaneous control on the ATM network is considered