Mathematical modeling of virtual machine life cycle using branching renewal process

In this paper, we propose the branching renewal process as a model of virtual machine life cycle in cloud node. We assume that virtual machines have several working modes with different resource consumption. Each machine begins with zero phase and continues performing by probabilistic change of othe...

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Published in:Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 21st International Conference, ITMM 2022, Karshi, Uzbekistan, October 25-29, 2022 : revised selected papers P. 29-39
Other Authors: Fedorova, Ekaterina A., Lapatin, Ivan L., Lizyura, Olga D., Moiseev, Alexander N., Nazarov, Anatoly A., Paul, Svetlana V.
Format: Book Chapter
Language:English
Subjects:
Online Access:http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001017107
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245 1 0 |a Mathematical modeling of virtual machine life cycle using branching renewal process  |c E. A. Fedorova, I. L. Lapatin, O. D. Lizyura [et al.] 
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504 |a Библиогр.: 15 назв. 
520 3 |a In this paper, we propose the branching renewal process as a model of virtual machine life cycle in cloud node. We assume that virtual machines have several working modes with different resource consumption. Each machine begins with zero phase and continues performing by probabilistic change of other phases. Virtual machines can leave the cloud node after any phase with some probability. For this model, we obtain probability distribution of the number of simultaneously performing virtual machines in each phase and the distribution function of resource consumption in cloud node. 
653 |a жизненный цикл виртуальной машины 
653 |a потребление ресурсов 
653 |a математическое моделирование 
653 |a ветвящийся процесс 
655 4 |a статьи в сборниках  |9 918460 
700 1 |a Fedorova, Ekaterina A.  |9 348151 
700 1 |a Lapatin, Ivan L.  |9 562629 
700 1 |a Lizyura, Olga D.  |9 53302 
700 1 |a Moiseev, Alexander N.  |9 315718 
700 1 |a Nazarov, Anatoly A.  |9 45813 
700 1 |a Paul, Svetlana V.  |9 194600 
773 0 |t Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 21st International Conference, ITMM 2022, Karshi, Uzbekistan, October 25-29, 2022 : revised selected papers  |d Cham, 2023  |g P. 29-39  |k Communications in computer and information science ; vol. 1803  |z 9783031329890 
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