1. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt1 Lightweight Probabilistic Broadcast M2 Tatsuya Shirai M1 Dai Saito

2. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt2 Broadcast in Large Scale Environment End users send messages to all other users more frequently. –P2P BBS –Stock markets These applications need software broadcast. Participating processes change more dynamically compared to processes on servers, –machine crash –login to or logout from applications

3. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt3 Deterministic Broadcast Each process transfers messages along defined routes. This approach provides consistency of message delivery ordering. –Messages from each process reach in the order that it sends Reliability is expressed in “best effort”

4. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt4 Deterministic Broadcast cont. rate of perturbed processes Poor scalability –Single point of failure –Cost of maintaining routing information Low reliability at unstable networks. –Perturbation of few processes makes performance of healthy processes lower.

5. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt5 Probabilistic Broadcast Each process transfers messages to randomly selected processes without using defined routing information. Approximate redundancy enhances reliability. Reliability is relatively high and stable in large scale and unstable environments.

6. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt6 Pbcast [Kenneth et al. 1999] This approach concurrently uses deterministic and probabilistic broadcast. –While network load is low, deterministic broadcast achieve high reliability and low cost. –While network load is high, probabilistic broadcast ensure certain reliability, especially of healthy processes.

7. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt7 Deterministic Broadcast The first protocol is deterministic broadcast. It uses IP multicast, or if it is not available, uses spanning trees randomly composed. –But composing spanning trees needs information of all membership. So this approach is limited to a few hundred processes, as mentioned in this paper.

8. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt8 Anti-Entropy Protocol The second is anti-entropy protocol based on gossip. –In each round, members choose some of other members randomly, send a summary of their message history digest to the selected processes. –Processes receive the digest and check the lack of message, and require the lacking message for original sender. message history membership info. digests message history lack 5, 8! lack 3, 9! 3, 9 message 3, message 9 5, 8 message 5, message 8 5, 8 3, 9

9. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt9 Anti-Entropy Protocol cont. Message size and fanout, the number of processes to which a process send in one round, define network load of this protocol. Message size is limited by message lifetime on each process. –A process send any message for some fixed rounds from initial reception. –After that, the message is gave up. 15 86 24 3 7 5 9 15 86 24 3 7 9 15 86 24

10. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt10 Flow Control Flow control while the network load is high. –The rate of pbcast messages should be limited. Normally every 100ms. –Retransmission should delays in some rounds if many other processes require. digests 3, 9 message 3, message 9 5, 8 message 5, message 8

11. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt11 Evaluations Parameters: –Message loss rate –Fanout, the number of processes Reliability: –(infected processes – failed ones) > all ones/2 for applications based on quorum replication algorithm Throughput: –The number of messages a process receives in 1 second.

12. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt12 Effects of Fanout Predicate I shows pbcast. –Message loss rate is 0.05. –Deterministic broadcast reaches 10 % of the processes. –50 processes participate. Probability of failure decrease with an increase of the number of fanout to 8. fanout (0~10)

13. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt13 Scalability Predicate I shows pbcast. –Message loss rate is 0.05. –Deterministic broadcast reaches 10 % of the processes. Probability of failure decrease with bigger scale. –Though broadcast to all processes take more rounds processes (0~60)

14. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt14 Time for broadcast to all processes Messages are received in 12 rounds on an average, less than 20 rounds at 1024 processes. –Fanout is 1 –Det. broadcast is not used. This result shows the means are at O(logN) rounds (0~20) 16 321024 processes

15. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt15 Throughput 150 messages are sent in one second. –When message loss happens frequently fanout is limited to small size. Throughput of perturbed processes decreases, but healthy processes avail full throughput. rate of perturbed processes deterministic pbcast

16. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt16 Throughput cont. Throughput at 200 msg/sec. –25 % of the processes pertube 25 % of the time. –Det. broadcast is unused. High frequency of packet loss causes throughput lower. In this case, average throughput decreases to 60% at 96 processes at high bandwidth. loss rate(0 ~ 0.2) 32~96 processes

17. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt17 Conclusion of pbcast Gossip based protocol achieves scalability and reliability in general network environments. Then, cost of processes are not considered. The next topic is memory management for pbcast.

18. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt18 Membership Management Assumption –Each process knows all Members memory consumption in large scale communication required to ensure the consistency of the Membership –Problems of Scalability in Large scale environment

19. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt19 Membership Management of lpbcast Member Management + Gossip –Each process knows a subset of all Members –Sending messages with Member information –Size limitation of Membership Management Buffer Fixed Memory consumption

20. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt20 Memory Management The Memory requirement for a process should not change (in large scale) –Buffer of Membership Management –Buffer of outgoing message →Scalability pbcast with a viewpoint of “Memory Consumption”

21. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt21 lpbcast algorithm Assumptions –Each process has unique ID –Each message has unique ID (including process ID) –joining/leaving (= subscribing/unsubscribing) Buffers –Events : event notifications –EventIDs : Event IDs –Subs : subscription information –unSubs : unsubscription information –View : targets of gossip message Size limitation for all Buffers –Especially in Events and Subs

22. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt22 sending lpbcast(e) –Add e to Events periodical gossip –Send buffers to a subset of View (every 50ms) e e Events EventIDs View Subs unSubs e Mes

23. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt23 receiving When receiving gossip… –Membership Management add Mes.unSubs : unSubs ・ remove Mes.unSubs : View,Subs add Mes.Subs : View,Subs If size of View is too large, move some items to Subs randomly View Mes.unSubs Mes.Subs Subs

24. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt24 receiving When receiving gossip… –Event transmission Events received for the first time are transmitted to other processes in View If size of Events is too large, remove randomly –Retrieving Event When receiving undelivered event ID in Mes.EventIDs, a request of retrieving Event Events e Unknown e e EventIDs Unknown e ID

25. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt25 subscribing Subscribing process should know at least one node in specific Members Sending Gossip with appending itself to Subs When timeout, making retransmission View

26. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt26 unsubscribing Sending Gossip with appending itself to unSubs –The process is gradually removed from individual view –Set timeout to unSubs messages –Assumption ： removed process will not recover soon unSubs

27. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt27 features of lpbcast Throughput is as high as pbcast A estimation of Memory consumption The membership algorithm and the dissemination of events are dealt with at the same level. Each view is independent uniformly –True P2P Model →suitable for WAN –Need to recognize the “locality”

28. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt28 [m1,m2] Optimization Age-base –Optimization of Events Buffer –Now ： Events Buffer is purged randomly →better to remove well disseminated messages –Age = # of hops P1 P2 bcast(m1) bcast(m2)gossip(m2) [m1] deliver(m2) [m1,m2]

29. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt29 Optimization Frequency-base –Optimization of Subs Buffer –Now ： Subs Buffer is purged randomly → better to remove well-known processes –well-known = included in Subs Buffers P1 P2 P3 Subs(P1, P2) Subs(P2) [P2] [P1,P2]

30. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt30 Experiment : # of rounds Simulation –Prob. of Message loss ： 0.05 –Prob. of process crash ： 0.01 # of rounds to disseminate 99% of all processes Logarithmically –Fanout = 3

31. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt31 Experiment : Reliability –SUN Ultra 10 (Solaris2.6, Memory256Mb) –100Mbps Ethernet –40msg/round, len(Events)=60 A probability for any given process of delivering any given event notification

32. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt32 Experiment : Optimization Effect Age-based optimization –Delivery ratio = (# of delivered message)/(# of broadcast) –30msg/round len(Events)=30 Fanout=4 60processes Optimized Random

33. 2007/1/15http://www.logos.ic.i.u-tokyo.ac.jp/~std/lpbcast.ppt33 Conclusion Scalability+Reliability Bimodal Multicast –Gossip based protocol achieves scalability and reliability. Lightweight Probabilistic Broadcast –Paying attention to cost of processes –memory management for pbcast. –Lightweight in large scale environment