Ode and Diffusion Limits in Large Symmetric Circuit Switched Networks.

Abstract

This paper considers a large symmetric star-shaped circuit- switched network where each route requires one circuit from each of two links. Interarrival and holding times of calls are exponential. The process of the number of free circuits in each link is analyzed. An ordinary differential equation limit is established along with a diffusion approximation limit conjectured by Whitt [Wh].