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Counting, Sorting and Distributed Coordination Luis Galárraga Saarland University
Agenda ,[object Object]
Concurrent objects and basic concepts
Distributed counting ,[object Object]
Counting networks ,[object Object],[object Object]
Sample sorting
Some justification ,[object Object]
At any stage our programs rely intensively on one of this tasks. ,[object Object]
Avoid  memory contention!!!
Memory contention ,[object Object]
Not serious for reads.. but for writes
Concurrent Objects
Quiescent consistency ,[object Object]
A quiescent counter: ,[object Object]
Quiescent consistency
Sequential Consistency ,[object Object]
Method calls by different threads are unrelated by program order.
Sequential Consistency
To discuss... ,[object Object]
Linearizability ,[object Object]
If two calls overlap, then their order is ambiguous and we are free to order them in any convenient way.
Linearization points: points where the method seems to take effect.
Linearizability
Measuring the performance ,[object Object]
Distributed Counting
The “classical” approach ,[object Object]
Perform the increment
Free the lock
Locks.. so many locks ,[object Object]
Test and set (with/without Exponential Backoff)
Queue locks (MCS, CLH, etc... )
Chapters 7 and 8 of [1] ,[object Object]
Software Combining Trees ,[object Object]
Some threads become responsible of gathering other increments and  combine  them.
Some hierarchical data structure must be used.
Binary trees
Software Combining Trees ,[object Object]
Balanced binary tree with k levels ,[object Object],[object Object]
Each thread is assigned to a leaf. A leaf can be assigned to 2 threads at most.
The value of the counter is stored at the root
Software Combining Trees ,[object Object]
FIRST:  One thread has visited this node and becomes the  master
SECOND:  A second thread (slave) is waiting for the master to combine.

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