Selected Publications on Analytical Performance Evaluation

On Expressing Networks with Flow Transformations in Convolution-Form
Citation key	CSW-OENWFTICF-11
Author	Ciucu, Florin and Schmitt, Jens and Wang, Hao
Title of Book	Proceedings of the 30th IEEE International Conference on Computer Communications (INFOCOM '11)
Pages	1979–1987
Year	2011
ISBN	978-1-4244-9919-9
ISSN	0743-166X
DOI	http://dx.doi.org/10.1109/INFCOM.2011.5935003
Location	Shanghai, China
Address	New York, NY, USA
Month	April
Publisher	IEEE
Abstract	Convolution-form networks have the property that the end-to-end service of network flows can be expressed in terms of a (min,+)-convolution of the per-node services. This property is instrumental for deriving end-to-end queueing results which fundamentally improve upon alternative results derived by a node-by-node analysis. This paper extends the class of convolution-form networks with stochastic settings to scenarios with flow transformations, e.g., by loss, dynamic routing or retransmissions. In these networks, it is shown that by using the tools developed in this paper end-to-end delays grow as O(n) in the number of nodes n; in contrast, by using the alternative node-by-node analysis, end-to-end delays grow as O(n^2).

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