Performance Guarantees in Communication Networks
Performance Guarantees in Communication Networks
A network service curve approach for the stochastic analysis of networks
SIGMETRICS '05 Proceedings of the 2005 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Network calculus delay bounds in queueing networks with exact solutions
ITC20'07 Proceedings of the 20th international teletraffic conference on Managing traffic performance in converged networks
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A common problem arising in network performance analysis with the stochastic network calculus is the evaluation of (min, +) convolutions. This paper presents a method to solve this problem by applying a maximal inequality to a suitable constructed supermartingale. For a network with D/M input, end-to-end backlog bounds obtained with this method improve existing results at low utilizations. For the same network, it is shown that at utilizations smaller than a certain threshold, fluid-flow models may lead to inaccurate approximations of packetized models.