This research is to develop a new form of stochastic network calculus for queuing system performance guarantees by making use of the Legendre transform at the sample-path level. A symmetrical formulation is resulted in through separate modeling of traffic flows and service capacities. Performance measures at single nodes and the service capacities of tandem systems are explicitly bounded at the sample-path level which consequently leads to bounds of the corresponding tail probabilities… CONTINUE READING

Network Calculus: A Theory of Deterministic Queuing Systems for the Internet. Springer-Verlag, Available from http://ica1www.epfl.ch/PS files/NetCal.htm