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Applied Math Seminar
Spring Quarter 2002
3:15 p.m.
Sloan Mathematics Corner
Building 380, Room 380-C
Friday, May 17, 2002
Stephan Bohacek
USC
Stochastic Models of the Internet, TCP and Fair Video Transmission
Abstract:
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A stochastic model of the Internet and TCP is presented.
Packet latency is modeled as a one-dimensional diffusion process with
the loss probability depending on the state of the latency model. Model
parameter variation is described as a Markov jump process. This model
is verified with live-network measurements. With this model of the network
in hand, a model of TCP is developed. The model is validated by ns-2 simulations.
As an application of these models, the video sending rate problem is addressed.
To this end, the TCP model is combined with a model of VBR (variable bit
rate) compressed video and the problem is transformed into a queuing problem.
In the setting where the congestion in the network is time varying, the
video sending rate problem is posed to include parameter estimation and
prediction. Furthermore, in the case that a particular quality of video
is required, the fair price of a video transmission is found.
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