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I'm studying parallel computing using the book clrs: I have some questions regarding span law and...

I'm studying parallel computing using the book clrs:

I have some questions regarding span law and work law ( I understand work law but I dont understand span law):
- Work means that the amount of time to compute 1 processor. As such, work law means that the amount of time to execute all the process will always be faster than the amount
of time to execute 1 workload using the same amount of processor. ( correct me if im wrong )

- For span: I dont understand what is span ? And what is span law ?

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Answer #1

Work means the amount of time required to execute whole computation means total time taken by all processes/threads.

In parallel computing multi-process/thread environment there will be multiple paths of execution represented by directed acyclic graph.

Span time is the longest time taken to computer processes on any path.

A System with P processors can not have performance as system with infinite processors. However A system with unlimited number of processors can simulate same performance as system with P processors by just using it's P processors. This is called Span Law.

Tp >= Tinfinite

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