cs240a-complexity

cs240a-complexity - Complexity Measures for Parallel...

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Unformatted text preview: Complexity Measures for Parallel Computation Work and span Work and span Work and span Work and span * Also called critical-path length or computational depth . Work and span Work and span * Also called critical-path length or computational depth . W ORK L AW ∙ T P ≥T 1 /P S PAN L AW ∙ Work and span Work and span Work: T 1 (A B) ∪ = Series Composition Series Composition A B Work: T 1 (A B) = T ∪ 1 (A) + T 1 (B) Span: T ∞ (A B) = T ∪ ∞ (A) +T ∞ (B) Span: T ∞ (A B) = ∪ Parallel Composition Parallel Composition A B Span: T ∞ (A B) = max{T ∪ ∞ (A), T ∞ (B)} Span: T ∞ (A B) = ∪ Work: T 1 (A B) ∪ = Work: T 1 (A B) = T ∪ 1 (A) + T 1 (B) Def. T 1 /T P = speedup on P processors. If T 1 /T P = Θ (P) , we have linear speedup , = P, we have perfect linear speedup , > P, we have superlinear speedup , (which is not possible in this model, because of the Work Law T P ≥ T 1 /P) Speedup Speedup Parallelism...
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cs240a-complexity - Complexity Measures for Parallel...

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