Method for determining the acceleration of a parallel specialised computer system based on Amdahl's law
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913215538003968 |
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| author | Filipchenko, Aleksandr S. |
| author_facet | Filipchenko, Aleksandr S. |
| contents | The modification of Amdahl's law for the case of increment of processor elements in a computer system is considered. The coefficient $k$ linking accelerations of parallel and parallel specialized computer systems is determined. The limiting values of the coefficient are investigated and its theoretical maximum is calculated. It is proved that $k$ > 1 for any positive increment of processor elements. The obtained formulas are combined into a single method allowing to determine the maximum theoretical acceleration of a parallel specialized computer system in comparison with the acceleration of a minimal parallel computer system. The method is tested on Apriori, k-nearest neighbors, CDF 9/7, fast Fourier transform and naive Bayesian classifier algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16975 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Method for determining the acceleration of a parallel specialised computer system based on Amdahl's law Filipchenko, Aleksandr S. Distributed, Parallel, and Cluster Computing Hardware Architecture 68Q10, 68M20 The modification of Amdahl's law for the case of increment of processor elements in a computer system is considered. The coefficient $k$ linking accelerations of parallel and parallel specialized computer systems is determined. The limiting values of the coefficient are investigated and its theoretical maximum is calculated. It is proved that $k$ > 1 for any positive increment of processor elements. The obtained formulas are combined into a single method allowing to determine the maximum theoretical acceleration of a parallel specialized computer system in comparison with the acceleration of a minimal parallel computer system. The method is tested on Apriori, k-nearest neighbors, CDF 9/7, fast Fourier transform and naive Bayesian classifier algorithms. |
| title | Method for determining the acceleration of a parallel specialised computer system based on Amdahl's law |
| topic | Distributed, Parallel, and Cluster Computing Hardware Architecture 68Q10, 68M20 |
| url | https://arxiv.org/abs/2401.16975 |