A network calculus is developed for processes whose burstiness is stochastically bounded by general decreasing functions. This calculus is useful for a large class of input processes, including important processes exhibiting "subexponentially bounded burstiness" such as fractional Brownian motion. Moreover, it allows judicious capture of the salient features of real-time traffic, such as the "cell" and "burst" characteristics of multiplexed traffic. This accurate characterization is achieved by setting the bounding function as a sum of exponentials.
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