1. 1 Availability Study of Dynamic Voting Algorithms Kyle Ingols and Idit Keidar MIT Lab for Computer Science

2. 2 Primary Component For fault-tolerance with partitions –Network can partition to several components –One component is primary Only members of primary component can modify shared data Usually, primary contains majority (quorum)

3. 3 Dynamic Voting Defines quorums adaptively New primary component contains majority of previous one Example: {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5} {2, 3, 4} {3, 4, 6, 10, 11}

4. 4 Dynamic Voting Benefits Dynamic universe –New processes can join at any time –Processes that leave likely to not return Higher availability –Repeated failures may reduce chance of connected majority

5. 5 Previous Availability Studies Stochastic analysis, stochastic Petri nets, simulations, empirical measurements, … Assume static universe Show that dynamic voting leads to primary component being formed most often

6. 6 Previous Studies Overlooked…. Transition to new primary cannot be atomic in a distributed system

7. 7 Bug Example Initially, all connected {1, 2, 3, 4, 5} 1, 2 suspect 4, 5, move to {1, 2, 3} 3 does not move with them, detaches 1, 2 suspect 3, move to {1, 2} At the same time, 3, 4, 5 move to {3, 4, 5} Two primaries!

8. 8 If failure Occurs in the Middle... Some suggested algorithms are wrong –See example on previous slide Correct algorithms differ in 1. How fast they recover 2. How many processes need to reconnect to allow recovery Previous studies overlooked differences

9. 9 The (Correct) Algorithms 1-Pending –Use 2-phase-commit –Single point of failure Majority-Resilient 1-Pending (MR1P) –Use 3-phase-commit –Recovery takes 2 communication steps –Then, algorithm for new primary takes 2 more YKD - pipeline recovery and new algorithm

10. 10 Our Study Simulations No failures, only partitions –Same probability to being faulty as detached –Advantage to 2-phase commit Multiple frequent connectivity changes –Inject fault with fixed probability in each step Then, stable period - see if primary exists

11. 11 Observations Algorithms differ greatly in availability Especially in their degradation as changes become more frequent 2-phase commit suffers due to single point of failure 3-phase commit suffers because it’s more likely to be interrupted YKD - no degradation in lengthy executions

12. 12 Conclusion Analysis of any kind may fail to consider important cases... General lessons: –Minimize number of processes needed for recovery –Speed up recovery by pipelining / parallelizing multiple instances