In this video, we will see Parallel Computing Terminologies: Granularity, Concurrency, Task Dependency Graph, Decomposition, Fine Coarse Grained, Critical Path | granularity, concurrency, dependency graph, decomposition, task, task dependency graph, fine grained decomposition, coarse grained decomposition, concurrency, maximum degree of concurrency, average degree of concurrency, critical path, critical path length, speedup, task interaction graph, terminologies, parallel computing, high performance computing
Watch this video to know about various terminologies in Parallel Computing or High Performance Computing:
Watch on YouTube: https://www.youtube.com/watch?v=pgFMt4qobws
Following are the terminologies used in Parallel Computing:
Reference:
Introduction to Parallel Computing, Second Edition, by Ananth Grama , Anshul Gupta , George Karypis , Vipin Kumar.
1. Decomposition
The process of dividing a computation into smaller parts, some or all of which may potentially be executed in parallel, is called decomposition.
2. Task
Tasks are programmer-defined units of
computation into which the main computation is subdivided by means of decomposition.
3. Task Dependency Graph
A task-dependency graph is a directed acyclic graph in which the nodes represent tasks and the directed edges indicate the dependencies amongst them.
The task corresponding to a node can be executed when all tasks connected to this node by incoming edges have completed.
Task-dependency graphs can be disconnected and the edge set of a task-dependency graph can be empty e.g. in Task Dependency Graph of Vector Matrix multiplication, there are no edges as all computations are independent.
e.g. Task Dependency Graph for "Finding minimum element among 23,12,9,30,37,27,8,17":
4. Granularity
The number and size of tasks into which a problem is decomposed determines the granularity
of the decomposition.
Smaller Granularity:
Larger Granularity
Note: Concurrency usually increase as the granularity of tasks becomes smaller (finer).
5. Fine Grained Decomposition
A decomposition into a large number of small tasks is called fine-grained.
![](data:image/png;base64,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)
6. Coarse Grained Decomposition
A decomposition into a small number of large tasks is called coarse-grained.
7. Concurrency
Executing multiple tasks simultaneously, is called concurrency.
8. Maximum Degree of Concurrency
The maximum number of tasks that can be executed simultaneously in a parallel program at any given time is known as its maximum degree of concurrency.
In most cases, the maximum degree of concurrency is less than the total number of tasks due to dependencies among the tasks.
In general, for task dependency graphs that are trees, the maximum degree of concurrency is always equal to the number of leaves in the tree.
e.g.
In above example, Maximum Degree of Concurrency is 4.
9. Average Degree of Concurrency
It is the average number of tasks that can run concurrently over the entire duration of execution of the program.
Note: Both the maximum and the average degrees of concurrency usually increase as the granularity of tasks becomes smaller (finer).
10. Critical Path
A feature of a task-dependency graph that determines the average degree of concurrency for a given granularity is its critical path.
In a task-dependency graph, let us refer to the nodes with no incoming edges by start nodes and the nodes with no outgoing edges by finish nodes. The longest directed path between any pair of start and finish nodes is known as the Critical Path.
11. Critical Path Length
The sum of the weights of nodes along critical path is known as the critical path length, where the weight of a node is the size or the amount of work associated with the corresponding task.
Average Degree of Concurrency = Total Amount of Work / Critical Path Length
e.g. 1.
Total Amount of Work=63
Critical Path Length=27
Average Degree of Concurrency=63/27=2.33
e.g. 2.
Total Amount of Work=64
Critical Path Length=34
Average Degree of Concurrency=64/34=1.88
12. Speedup
Speedup = Serial Execution Time / Parallel Execution Time
13. Task Interaction Graph
The nodes in a task-interaction graph represent tasks and the edges connect tasks that interact with each other.
Watch this video to know about various terminologies in Parallel Computing or High Performance Computing:
Watch on YouTube: https://www.youtube.com/watch?v=pgFMt4qobws
Following are the terminologies used in Parallel Computing:
Reference:
Introduction to Parallel Computing, Second Edition, by Ananth Grama , Anshul Gupta , George Karypis , Vipin Kumar.
1. Decomposition
The process of dividing a computation into smaller parts, some or all of which may potentially be executed in parallel, is called decomposition.
2. Task
Tasks are programmer-defined units of
computation into which the main computation is subdivided by means of decomposition.
3. Task Dependency Graph
A task-dependency graph is a directed acyclic graph in which the nodes represent tasks and the directed edges indicate the dependencies amongst them.
The task corresponding to a node can be executed when all tasks connected to this node by incoming edges have completed.
Task-dependency graphs can be disconnected and the edge set of a task-dependency graph can be empty e.g. in Task Dependency Graph of Vector Matrix multiplication, there are no edges as all computations are independent.
e.g. Task Dependency Graph for "Finding minimum element among 23,12,9,30,37,27,8,17":
4. Granularity
The number and size of tasks into which a problem is decomposed determines the granularity
of the decomposition.
Smaller Granularity:
Larger Granularity
Note: Concurrency usually increase as the granularity of tasks becomes smaller (finer).
5. Fine Grained Decomposition
A decomposition into a large number of small tasks is called fine-grained.
6. Coarse Grained Decomposition
A decomposition into a small number of large tasks is called coarse-grained.
7. Concurrency
Executing multiple tasks simultaneously, is called concurrency.
8. Maximum Degree of Concurrency
The maximum number of tasks that can be executed simultaneously in a parallel program at any given time is known as its maximum degree of concurrency.
In most cases, the maximum degree of concurrency is less than the total number of tasks due to dependencies among the tasks.
In general, for task dependency graphs that are trees, the maximum degree of concurrency is always equal to the number of leaves in the tree.
e.g.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4zXOtajaDWU58z5zrWaB8PjMQLP-tg9GWzTqu0RNKzh4jc_rh0LdHgHRQF1HU_xxLAOXyQZ7JlXToBa2YgxT-GFqdgBLy-T-Tib7N_rvjPXe8F6uh40Kmt3p5DwKP_TYLrRwWnrNEGjqf/s1600/Diagram5.jpeg)
In above example, Maximum Degree of Concurrency is 4.
9. Average Degree of Concurrency
It is the average number of tasks that can run concurrently over the entire duration of execution of the program.
Note: Both the maximum and the average degrees of concurrency usually increase as the granularity of tasks becomes smaller (finer).
10. Critical Path
A feature of a task-dependency graph that determines the average degree of concurrency for a given granularity is its critical path.
In a task-dependency graph, let us refer to the nodes with no incoming edges by start nodes and the nodes with no outgoing edges by finish nodes. The longest directed path between any pair of start and finish nodes is known as the Critical Path.
11. Critical Path Length
The sum of the weights of nodes along critical path is known as the critical path length, where the weight of a node is the size or the amount of work associated with the corresponding task.
Average Degree of Concurrency = Total Amount of Work / Critical Path Length
e.g. 1.
Total Amount of Work=63
Critical Path Length=27
Average Degree of Concurrency=63/27=2.33
e.g. 2.
Total Amount of Work=64
Critical Path Length=34
Average Degree of Concurrency=64/34=1.88
12. Speedup
Speedup = Serial Execution Time / Parallel Execution Time
13. Task Interaction Graph
The nodes in a task-interaction graph represent tasks and the edges connect tasks that interact with each other.
No comments:
Post a Comment