Converging Dynamical Networks with Applications to Peer-to-peer Video Streaming and Social Networks Håkan Terelius, Guodong Shi, Ather Gattami, Karl H.

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Presentation transcript:

Converging Dynamical Networks with Applications to Peer-to-peer Video Streaming and Social Networks Håkan Terelius, Guodong Shi, Ather Gattami, Karl H. Johansson ACCESS Linnaeus Center Royal Institute of Technology, Stockholm LCCC Workshop on Control of Computing Systems, Lund, 5-7 Dec 2011 Jim Dowling, Amir Payberah Swedish Institute of Computer Science, Stockholm

Live streaming 2

Broadcasting technology

Collaborative P2P distribution

Mathematical model

Node dynamics

Convergence analysis 7

Proof idea 8

Convergence time 9

Numerical simulations 10

Live-streaming application

Experimental evaluation Playback continuity under flash crowd 12 Playback continuity

Experiments Playback latency under catastrophic failure 13

Related results for average consensus 14 Shi & J, 2011

Conclusions A gradient overlay topology can improve P2P live-streaming Necessary and sufficient condition for convergence to such a topology for an algorithm based on random sampling Corresponds to sufficiently high sampling rate Future work Improved convergence rate through neighbor sampling Dynamic networks and utilities 15 H. Terelius, G. Shi, J. Dowling, A. Payberah, A. Gattami, K. H. Johansson, Converging an Overlay Network to a Gradient Topology, IEEE CDC, Orlando,

Thank you for your attention! 16 Questions?

Neighbor sampling 17

Neighbor sampling A simulation example 18

Neighbor sampling The line graph

Neighbor sampling Current research

Coupon Collector’s Problem 21

Coupon Collector’s Problem 22

Coupon Collector’s Problem 23