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Network Calculus for Mean Delay Analysis Through a Network

, , , und . 30th International Teletraffic Congress (ITC 30), Vienna, Austria, (2018)

Zusammenfassung

In this paper, a framework is developed to estimate the mean delay performance of \$($\backslash$pi, $\backslash$rho,$\backslash$sigma)\$ regulated flows in networks with acyclic routing. We first show that the mean delay performance can be bounded by \textiton-off type processes with exponentially distributed periods. We then obtain per-flow bounds on the mean delay. We show that when there is no peak rate constraint, the Pollaczek-Khinchine formula for \$M/G/1\$ queues provides a tight bound thus establishing the Better-than-Poisson property for such flows. We then consider flows inside a network and show that they can be characterized by a stochastic burstiness parameter and show how the aggregate performance can be bounded from the asymptotic Better-than-Poisson property of regulated flows.

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