Delay and Jitter in Networks with IPP Traffic:Theoretical Model

Abstract

In this paper we analyze delay and jitter in networks with traffic modelled as Interrupted Poisson process (IPP), and relatively small traffic loads. In one-node analysis, we estimate the probability for delay bounds violation, and we obtain expression for the jitter, with respect to phase probabilities, traffic load, and tagged traffic share in aggregate traffic flow. We also analyze delay and jitter for simple tandem network, where we propose a model for endto- end jitter. Our research shows how end-to end jitter is conditioned with phase probabilities of the incoming process, and we determine the nature of that correlation. Finally, we estimate the probability for end-to-end delay bounds violation, with respect to the jitter occurring on network nodes. Our propositions lead to some fast-to-compute approximations for the limit cases, which we propose as useful in evaluation of QoS constraints for real IP traffic