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Selected Publications on Analytical Performance Evaluation

Scaling Properties of Statistical End-to-End Bounds in Network Calculus
Citation key CBL-SPSEEBNC-06
Author Ciucu, Florin and Burchard, Almut and Liebeherr, Jorg
Pages 2300–2312
Year 2006
ISSN 0018-9448
DOI http://dx.doi.org/10.1109/TIT.2006.874380
Address Piscataway, NJ, USA
Journal IEEE Transactions on Information Theory
Volume 52
Number 6
Month June
Note Joint issue with IEEE/ACM Transaction on Networking (ToN), Special issue on networking and information theory
Publisher IEEE Press
Abstract The stochastic network calculus is an evolving new methodology for backlog and delay analysis of networks that can account for statistical multiplexing gain. This paper advances the stochastic network calculus by deriving a network service curve, which expresses the service given to a flow by the network as a whole in terms of a probabilistic bound. The presented network service curve permits the calculation of statistical end-to-end delay and backlog bounds for broad classes of arrival and service distributions. The benefits of the derived service curve are illustrated for the exponentially bounded burstiness (EBB) traffic model. It is shown that end-to-end performance measures computed with a network service curve are bounded by O(H log H), where H is the number of nodes traversed by a flow. Using currently available techniques, which compute end-to-end bounds by adding single node results, the corresponding performance measures are bounded by O(H3).
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