Brownian network models of congestion at flow level
PPT Slide
Background and motivation
End-to-end congestion control
Fixed point models
Processor sharing models
Issues
Model definition
Network structure (J, R, A)
Rate allocation
Optimization formulation of rate allocation
Examples of -fair allocations
Example
Flow level model
Example: a linear network
Workload for a resource
Workload for two resources
Outline of rest of talk
Stability
What goes wrong without fairness?
Heavy traffic
Balanced fluid model
Fluid model
A potential function
Workloads
Evolution of functions F
State space collapse
The case ? = 1
A star network
Mean field approximation?
Summary
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Home Page: http://www.statslab.cam.ac.uk/~frank