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Amdahl's law is often conflated with the law of diminishing returns, whereas only a special case of applying Amdahl's law demonstrates law of diminishing returns. If one picks optimally (in terms of the achieved speedup) what is to be improved, then one will see monotonically decreasing improvements as one improves.
For example, if 95% of the program can be parallelized, the theoretical maximum speedup using parallel computing would be 20× as shown in the diagram, no matter how many processors are used. If 90% of the program can be parallelized, the theoretical maximum speed-up using parallel computing would be 10×.
The maximum potential speedup of an overall system can be calculated by Amdahl's law. [14] Amdahl's Law indicates that optimal performance improvement is achieved by balancing enhancements to both parallelizable and non-parallelizable components of a task. Furthermore, it reveals that increasing the number of processors yields diminishing ...
Karp and Flatt hoped to correct this by proposing this metric. This metric addresses the inadequacies of the other laws and quantities used to measure the parallelization of computer code. In particular, Amdahl's law does not take into account load balancing issues, nor does it take overhead into consideration. Using the serial fraction as a ...
The sequential limits on parallel performance dictated by Amdahl's law also do not apply in the same way because data dependencies are implicitly handled by the programmable node interconnect. Therefore, systolic arrays are extremely good at artificial intelligence, image processing, pattern recognition, computer vision, and other tasks that ...
Gene Myron Amdahl (November 16, 1922 – November 10, 2015) was an American computer architect and high-tech entrepreneur, chiefly known for his work on mainframe computers at IBM and later his own companies, especially Amdahl Corporation. He formulated Amdahl's law, which states a fundamental limitation of parallel computing.
More technically, it is the improvement in speed of execution of a task executed on two similar architectures with different resources. The notion of speedup was established by Amdahl's law, which was particularly focused on parallel processing. However, speedup can be used more generally to show the effect on performance after any resource ...
Work law. The cost is always at least the work: pT p ≥ T 1. This follows from the fact that p processors can perform at most p operations in parallel. [6] [9] Span law. A finite number p of processors cannot outperform an infinite number, so that T p ≥ T ∞. [9] Using these definitions and laws, the following measures of performance can be ...