Paper
24 July 2001 Satisfying customer bandwidth demand in IP data networks
Yaakov Kogan, Haluk Kosal, Gangaji Maguluri, Gomathi Ramachandran
Author Affiliations +
Proceedings Volume 4523, Internet Performance and Control of Network Systems II; (2001) https://doi.org/10.1117/12.434321
Event: ITCom 2001: International Symposium on the Convergence of IT and Communications, 2001, Denver, CO, United States
Abstract
We introduce the notion of customer bandwidth fulfillment in IP data networks and provide a quantitative characterization of the fulfillment using measurements of the router uplink (link connecting a router to the backbone) utilization. The threshold for the uplink utilization is calculated for a given probability of customer fulfillment based on the normal approximation. We use three different stochastic models to prove the normal approximation for the distribution of the uplink utilization. The convergence to the Gaussian diffusion prcess is proved in the framework of the nonstationary exponential Benes buffer model. In a special case of an alternating renewal process, we show that the fulfillment can be evaluated based on measurements of the mean uplink utilization. We also prove that the distribution for the number of busy links in a large generalized Engset model is asymptotically normal that provides another justification of the normal approximation for the uplink utilization. We analyze 5-minutes measurements of the uplink utilization and show that their empirical distribution is close to normal.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yaakov Kogan, Haluk Kosal, Gangaji Maguluri, and Gomathi Ramachandran "Satisfying customer bandwidth demand in IP data networks", Proc. SPIE 4523, Internet Performance and Control of Network Systems II, (24 July 2001); https://doi.org/10.1117/12.434321
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KEYWORDS
Stochastic processes

Diffusion

Multiplexers

Statistical analysis

Control systems

Differential equations

Fourier transforms

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