The paper presents a systematic study of stochastic mathematical models and simulation methods applied to evaluating the performance of computing machines. Three queuing models have been formalized and verified — M/M/1, M/M/c (c = 4) and M/G/1 — with verification based on the results of discrete event simulation (DSI). A Markov model of CPU process planning with four states (Ready, Running, Waiting, Completed) is constructed and its stationary distribution is analytically obtained.
| Mualliflar | Sobirov, Muslimjon |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2026-06-29 |
| Son | 3 |
| Betlar | 3-10 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
stochastic modeling, queuing theory, M/M/1, M/G/1, Markov chains, Monte Carlo method, discrete event modeling, стохастическое моделирование, теория массового обслуживания, M/M/1, M/G/1, цепи Маркова, метод Монте-Карло, дискретно-событийное моделирование
| APA | Sobirov, Muslimjon (2026). Application of stochastic mathematical models and simulation methods to evaluate the performance of computing machines. Al-Farg'oniy avlodlari, (3), 3-10. https://al-fargoniy.uz/index.php/journal/article/view/1220 |
|---|---|
| GOST (OAK) | Sobirov, Muslimjon Application of stochastic mathematical models and simulation methods to evaluate the performance of computing machines // Al-Farg'oniy avlodlari. – 2026. – № 3. – P. 3-10. |
| MLA | Sobirov, Muslimjon. “Application of stochastic mathematical models and simulation methods to evaluate the performance of computing machines.” Al-Farg'oniy avlodlari, (3), 3-10, 2026. https://al-fargoniy.uz/index.php/journal/article/view/1220 |
| Chicago | Sobirov, Muslimjon. “Application of stochastic mathematical models and simulation methods to evaluate the performance of computing machines.” Al-Farg'oniy avlodlari, (3), 3-10 (2026). https://al-fargoniy.uz/index.php/journal/article/view/1220 |
| Harvard | Sobirov, Muslimjon (2026) ‘Application of stochastic mathematical models and simulation methods to evaluate the performance of computing machines’, Al-Farg'oniy avlodlari, (3), 3-10. https://al-fargoniy.uz/index.php/journal/article/view/1220 |
| BibTeX | @article{sobirovmuslimjon2026,
title = {Application of stochastic mathematical models and simulation methods to evaluate the performance of computing machines},
author = {Sobirov, Muslimjon},
journal = {Al-Farg'oniy avlodlari},
year = {2026},
number = {3},
pages = {3-10},
url = {https://al-fargoniy.uz/index.php/journal/article/view/1220}
} |
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