Abstract
Modern mobile devices widely use cloud technologies. A cloud environment includes one or more data centers. As the number of mobile devices and their software increases, so does the number of servers and other hardware in cloud data centers. This increase leads to an increase in electricity consumption and related costs. Issues related to the energy management of cloud resources are important both from the point of view of protecting the environment and from the point of view of maximizing the profit from the provision of remote computing resources.In this paper, we propose a stochastic model that allows us to estimate the amount of electricity consumed by comp anies providing services related to remote digital data processing. This model can also be used to simulate the behavior of such companies.