MATHEMATICAL MODEL OF HOSTING OF VIRTUAL MACHINES ON PHYSICAL SERVERS OF COMPUTER NETWORKS

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Abstract

Transition to a digital economics leads to global introduction of IT-technology and computer engineering in every sphere of economic activity. In turn, it is related to growth of the cost for creating local networks. Size of material costs for introducing high-scale IT-projects is not always comparable to company’s financial potential. One of the methods to solve this problem is introduction of virtualization technologies into the manufacturing process, concretely speaking, organization of IT-system’s functioning on virtual machines network. In this paper, basic terms in the field of virtualization are reviewed; also, a brief description of optimal virtual machines’ hosting problem is given. Paper discloses informative formulation of the problem that serve as the basis of the model of virtual machines hosting on computer networks’ physical servers. In addition, group of authors give various algorithms of solving the problem.

About the authors

Vladimir M. Montlevich

Samara National Research University

Author for correspondence.
Email: vlmont@mail.ru
ORCID iD: 0000-0001-8799-8974

Candidate of Physical and Mathematical Sciences, associate professor of the Department of Mathematics and Business Informatics

Russian Federation

Alexander D. Popov

Samara National Research University

Email: alexpopov1641@gmail.com
ORCID iD: 0000-0002-0732-3473

Master's Degree Student of the Department of Mathematics and Business Informatics

Russian Federation

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