Network slicing is one of the key capabilities of modern networks, allowing several virtual mobile operators to use the physical resources of one base station. This allows operators and resource owners (tenants) to lease and manage several dedicated logical networks with specific functionality working on top of a common infrastructure. Each of these logical networks is called a network slice and can be adapted to provide certain system behavior to maintain a specified level of quality of service indicators. The paper describes the developed mathematical framework of the network slicing mechanisms and analyzes it by means of extensive simulations. © 2020 Federal Research Center "Computer Science and Control" of Russian Academy of Sciences. All rights reserved.