1. Congestion Control in Distributed Media Streaming Lin Ma Wei Tsang Ooi School of Computing National University of Singapore IEEE INFOCOM 2007

2. outline Introduction Distributed Media Streaming (DMS) Task-level TCP Friendliness Framework of DMSCC Throughput Control Congestion Control Simulation and Conclusions

3. Introduction Distributed Media Streaming (DMS) coined by Nguyen and Zakhor (IEEE transaction on multimedia 2004) A client receives a media stream from multiple servers simultaneously multiple media flows may or may not pass through the same bottleneck Aggregate congestion control as task-level congestion control

4. DMS Distributed Media Streaming client receives a media stream from multiple servers simultaneous improves robustness allows aggregation of bandwidth among peers Sender 1 receiver Sender 2 Internet 0.8Mbps 0.4Mbps 1.2Mbps

5. Scenario Receiver-driven receiver Sender 1 Sender 2 Estimates round trip time Sender1’s RTT Sender2’s RTT Estimates sender’s loss rates Decide each sender’s sending rates (RAA) control packet Determine the next packet to be sent (PPA) Send packet

6. DMS protocol Rate allocation algorithm (RAA) Run at receiver minimize the probability of packet loss splitting the sending rates appropriately across the senders Packet partition algorithm (PPA) Run at individual senders Ensure every packet is sent by only one sender minimize the probability of packet arriving late

7. Bandwidth Estimation TCP Friendly rate control algorithm (TFRC) B : current available TCP-friendly bandwidth between each sender and receiver T rto : TCP timeout R : estimated round-trip time in seconds p : estimated loss rate S : TCP segment size in bytes

8. Rate Allocation Algorithm Receiver computes the optimal sending rate for each sender based on loss rate and bandwidth Subject to During the interval (t, t + ∆)F(t) : total number of loss packet L(i, t) : estimated loss ratesS(i, t) : estimated sending rates S req (t) : is the required bit rate for the encoded video B(i, t) : TCP-friendly estimated bandwidth

9. Rate Allocation Algorithm Sort the senders according to their estimated loss rates from lowest to highest Assign each sender its available bandwidth, until the sum of their available bandwidths exceeds the bit rate of the encoded video

10. Rate Allocation Algorithm Suppose there exists a rate allocation with M' senders in which F(t) is min, say F'(t) for some 1≤ i’< M‘,but S(i’,t)≠B(i‘,t),implies that S(i',t) < B(i',t) Proof ： Allocating some of the bit rate from sender M' to i' we can achieve smaller loss rate than F'(t) Ω = min[ S(M',t), B(i',t)−S(i',t)] F*(t) < F'(t)

11. Each sender receive control packet from the receiver through a reliable protocol in the following format Di : Denote the estimate delay from each sender to receiver Si : Denote the sending rate for each sender Sync : Synchronization sequence number Packet Partition Algorithm D1 D2 S1 S2 Sync

12. Packet Partition Algorithm Only the sender who maximizes A k’ (j, k) will be assigned to send kth packet Each sender computes A k’ (j, k) for each packet k for itself and all other senders A k’ (j, k) = T k’ (k) – [n j,k σ(j)+2D(j)] D(j) : estimated delay n j,k : Number of packets already sent since k’ to packet k σ(j) = P/S(j) : Sending interval between packets for sender j (P : packet size) T k’ (k) : Time difference between arrival and playback time of kth packet (not affect the value) arrival time of the kth packet sent by sender j

13. Packet Partition Algorithm Among all senders j=1,…N, the one that maximizes A k ’ (j,k) is assigned to send kth packet Each sender keeps track of all the values of A k ’ (j,k) for all N senders, and updates every time a packet is sent

14. Task-level TCP Friendliness Congestion Control in Single-flow streaming Flow f is TCP-friendly: B = B TCP Comparable network environment  same loss rate, RTT and packet size 0 2 1 AB 3 f TCP

15. Task-level TCP Friendliness Congestion Control on aggregate O: set of flows in flow aggregate bi :throughput of flow fi Rtti :round trip time of flow fi 0 2 1 AB 3 f 1, f 2, and f 3 TCP

16. Task-level TCP Friendliness Congestion Control in DMS 0 2 1 3 R A B C TCP Set of DMS flows to be controlled depends on where congestion appears

17. Framework of DMSCC Congestion location Throughput control Receiver side Sender side Congestion Control Algorithm DMS Flows Update the increasing factor of AIMD

18. Congestion Location An ideal solution to locate a congestion congestion causes a packet loss on a DMS flow should be able to tell which link is congested congestion subsides should sense it, so that the regulation on the DMS flows previously imposed can be lifted Such ideal solution is difficult simultaneous congestion on different links in the tree same flow might experience congestion on different links

19. Congestion Location One link congestion (Rubenstein et al. [15].) compare the cross-correlation of two flows and the auto-correlation of one of them CorrTest(i,j) to denote the correlation test of Rubenstein applied on flow i and flow j the two flows share a bottleneck Return1 No shared bottleneck is detected Return 0

20. Congestion Location Idea: Packets passing through same Point of Congestion(POC) close in time experience loss and delay correlations Using either loss or delay statistics, compute two measures of correlation: M c : cross-measure (c between flows) M a : auto-measure (c within a flow) such that if M c < M a then infer POCs are separate else M c > M a and infer POCs are shared M c = C(Delay(i), Delay(i-1)) M a = C(Delay(i), Delay(prev(i)) time i-4 i-2 i i-1 i-3 i+1 Flow 1 pkts Flow 2 pkts

21. Congestion Location Algorithm 1: find the shared bottleneck 0 2 1 R A B Output ={ A-B }

22. Congestion Location Algorithm 2: On every packet loss C = {A-B, 0-A} H = {A-B, 0-A, 0-A, A-B, A-B, 0-A,A-B,A-B …} 0 2 1 A B R

23. Throughput Control W : size of congestion window α : increasing factor L : period (in RTT) between every two packet losses p : packet loss rate Total number of packets received during that period Mathis Equation[14] loss rate is p, then for every 1/p packets, one packet is lost.

24. Throughput Control If we want a DMS flow to have β times the throughput of a TCP flow For the throughput of a DMS flow to be β times of a conformant TCP flow, we need to set its increasing factor α to β^2

25. Throughput Control Update Alpha: according to dominant bottleneck Algorithm 3: Update Increasing Factors 0 2 1 A B R C = {A-B, 0-A} C ’ = {A-B} A-B dominates the other link

26. Throughput Control Bottleneck Recovery Congestion subsides and there is no more packet loss, we need to reset α i to 1 DMS flow to fully utilize available bandwidth A timer is refreshed when packet loss is detected If no packet loss is detected within t seconds The increasing factors of all DMS flows are reset to 1

27. Simulation LinkStartEnd 0-A0100 A-B150200 B-C50150 C-R250350 0 2 1 3 R A B C

28. Conclusions Congestion control in DMS system Task-level TCP-friendliness Locate congestion in a reverse tree topology Relies on Rubenstein’s method Control the throughput of a DMS flow using AIMD loop combined throughput on the bottleneck is TCP- friendly Based on Mathis equation