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Aidan Walton's Publications

Exponential Supermartingales for Evaluating End-to-End Backlog Bounds
Zitatschlüssel C-ESEEEBB-07a
Autor Ciucu, Florin
Buchtitel Proceedings of the 9th Workshop on Mathematical Performance Modeling and Analysis (MAMA '07)
Jahr 2007
Ort San Diego, CA, USA
Adresse New York, NY, USA
Monat June
Notiz Extended abstract appeared also in Perfomance Evaluation 35(2):21-23, 2007
Verlag ACM
Zusammenfassung 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.
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