This paper investigates the mathematical framework for managing VM migration in cloud environments. Pre-copy, post-copy and hybrid approaches are formalized, an automatic migration model is developed using a MDP. The main theoretical contribution is Theorem 1, which proves that the downtime advantage of the proposed HMA over standard pre-copy increases strictly monotonically with the dirtying coefficient α = λ/B and memory size M, yielding an a priori algorithm-selection rule. On a 6-node OpenStack cluster, HMA reduced downtime by 71% (2.14→0.62 s) and migration time from 34.7 to 18.4 s. Sensitivity analysis identified λ as the dominant factor (r = 0.93)
| Mualliflar | Собиров, Муслимжон, Zokirov, Sanjar |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2026-06-29 |
| Son | 3 |
| Betlar | 11-18 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
virtual machine migration, cloud computing, pre-copy, post-copy, Markov decision process, load balancing, OpenStack, VMware vSphere, migration cost function, hybrid migration algorithm, downtime advantage theorem, миграция виртуальных машин, облачные вычисления, алгоритм предварительного копирования, алгоритм последующего копирования, марковский процесс принятия решений (MDP), балансировка нагрузки, OpenStack, VMware vSphere, функция стоимости миграции, гибридный алгоритм миграции, теорема приоритета простоя, virtual mashina migratsiyasi, bulutli hisoblash, pre-copy algoritmi, post-copy algoritmi, Markov qaror qabul qilish jarayoni (MDP), yuklanish muvozanati, OpenStack, VMware vSphere, migratsiya narxi funksiyasi, gibrid migratsiya algoritmi, downtime ustunlik teoremasi
| APA | Собиров, Муслимжон, & Zokirov, Sanjar (2026). Mathematical apparatus and software mechanisms for managing virtual machine migration in a cloud computing environment. Al-Farg'oniy avlodlari, (3), 11-18. https://al-fargoniy.uz/index.php/journal/article/view/1223 |
|---|---|
| GOST (OAK) | Собиров, Муслимжон, Zokirov, Sanjar Mathematical apparatus and software mechanisms for managing virtual machine migration in a cloud computing environment // Al-Farg'oniy avlodlari. – 2026. – № 3. – P. 11-18. |
| MLA | Собиров, Муслимжон, and Zokirov, Sanjar. “Mathematical apparatus and software mechanisms for managing virtual machine migration in a cloud computing environment.” Al-Farg'oniy avlodlari, (3), 11-18, 2026. https://al-fargoniy.uz/index.php/journal/article/view/1223 |
| Chicago | Собиров, Муслимжон, and Zokirov, Sanjar. “Mathematical apparatus and software mechanisms for managing virtual machine migration in a cloud computing environment.” Al-Farg'oniy avlodlari, (3), 11-18 (2026). https://al-fargoniy.uz/index.php/journal/article/view/1223 |
| Harvard | Собиров, Муслимжон, and Zokirov, Sanjar (2026) ‘Mathematical apparatus and software mechanisms for managing virtual machine migration in a cloud computing environment’, Al-Farg'oniy avlodlari, (3), 11-18. https://al-fargoniy.uz/index.php/journal/article/view/1223 |
| BibTeX | @article{article2026,
title = {Mathematical apparatus and software mechanisms for managing virtual machine migration in a cloud computing environment},
author = {Собиров, Муслимжон and Zokirov, Sanjar},
journal = {Al-Farg'oniy avlodlari},
year = {2026},
number = {3},
pages = {11-18},
url = {https://al-fargoniy.uz/index.php/journal/article/view/1223}
} |
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