Jitter calculus in ATM networks: multiple nodes

We provide simple techniques for estimating the end-to-end jitter incurred by a periodic traffic in an asynchronous transfer mode (ATM) network. Our analysis is based on the careful examination of light and heavy traffic behavior of jitter incurred to a tagged renewal stream in a single node. Our results indicate that, in the heavy traffic as the number of nodes increases, the jitter distribution approaches to a limiting distribution which only depends on the behavior of the background traffic. We provide the functional equation satisfying this limit which bounds the moments of the jitter for arbitrary level of traffic. A simple approximation method based on the heavy and light traffic analysis of the jitter process is also provided and the results is supported by extensive simulation.