Jitter calculus in ATM networks: multiple node case

The authors provide sample techniques for estimating the end-to-end jitter incurred to a periodic traffic in an ATM network. The analysis is based on carefully examining the light and heavy traffic behavior of jitter incurred to a general tagged renewal stream in a single node. The results indicate that for any number of nodes, the jitter variance is almost proportional to the variance of the background traffic competing for resources with the tagged stream. They also find that in general, as the number of nodes increases, the jitter distribution approaches a limit. In the heavy traffic, they provide the functional equation satisfying this limit which readily gives all the moments of the jitter in closed form for large number of nodes in the network