Stochastically bounded burstiness for communication networks

We develop a network calculus for processes whose burstiness is stochastically bounded by general decreasing functions. This calculus enables one to prove the stability of feedforward networks and obtain statistical upper bounds on interesting performance measures such as delay, at each buffer in the network. The bounding methodology is useful for a large class of input processes, including important processes exhibiting “subexponentially bounded burstiness” such as fractional Brownian motion. Moreover, it generalizes previous approaches and provides much better bounds for common models of real-time traffic, like Markov modulated processes and other multiple time-scale processes. We expect that this new calculus will be of particular interest in the implementation of services providing statistical guarantees