Two mathematical models have been built to describe the behavior of an information system with a client-server architecture without and taking into account the ultimate reliability of the monitoring system and the restoration of the failed component of the system under consideration. The behavior of the information system in the presence of failures and the restoration of the performance of components is approximated by a Markov process and is described by a system of differential equations with variable coefficients. The solution of the obtained differential equations by numerical methods on computers allows the research of various characteristics of the reliability of information systems such as “client-server” in a wide range of changes in failure rates and restoration of system components.

Currently, the tourism industry is a catalyst for the socio-economic development in many countries. According to the World Tourism Organization data, one of 1 000 peoples have travel every year. One of eleven workplaces is provided by the tourism sector; 7% of world trade by services falls on this sphere. In 2015 1.4 trillion dollars was spent on tourism services and goods; 4 billion dollars is spent in the sphere of tourism every day. Today, the strategic management of the tourism sector is a component of the complex strategic socio-economic development of the Russian Federation in the strategic planning framework. The role and significance of tourism inter-territorial cooperation in the sphere of strategic planning in the Russian Federation are defined; specific practical examples are given (World Tourism Organization, World Travel & Tourism Council). Interterritorial cooperation in the tourism field in the Russian Federation is practiced within the framework of organizations, joint tourist clusters and routes. Weak positions of normative legal regulation of strategic management of the tourism sphere in the Russian Federation concerning the sphere of social and economic development are revealed using the method of analogy.

The influence of the effect of plasma processing and non-isocyanate urethanes on the skin of rabbit pelt has been investigated. Synergistic effect of modification resulting in the change of microstructure of high-molecular material and increasing chemical activity of collagen is established. In order to study the regularities of plasma effect on the skin of rabbit pelt the following indicators were determined: heat resistance temperature, relative moisture content (in mass), strength characteristics.

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