This paper deals with retrial queues of the |MQ/M/c/∞|- type in which the rate of input flow depends on the number of sources of repeated calls and each call has only one retrial attempt. That is, if a call fails to enter the server facility at the retrial attempt, then it leaves the system without service. The existence conditions of stationary regime and the vector-matrix of the stationary probabilities of the service process are represented. This representation uses an approximation of the initial model by means of the truncated one and the directs passage to the limit. For these systems a threshold strategy for the rate of input flow is used. The multi-criterion optimization problem for finding optimal strategy of control is considered. The quality functionals of the optimization problem are represented through the stationary probabilities.

The influence of military-political instability at the state security has special consequences and cannot be ignored. That is why the methods of economic security calculations should be adapted to modern conditions. Significant changes in economic, political, social conditions in Ukraine because of the influence of military events cause the necessity of developing approaches to calculations of economic security level. The article aims at analyzing active methods of calculations of economic security level to adapt their indicators to actual economic circumstances in Ukraine and the world. Indicators of the economic security have been composed of budget, money-credit, foreign exchange, debt, known banking financial market security, banking security. Every component of economic security has factors of war influence, which, as a result, correlates with the integral indicator of economic security. The relevance and indispensability of reinforcement of the economy’s competitiveness on security foundations are substantiated. The authors’ methods of calculation of an integral indicator of economic security have been suggested. A taxonomic indicator is used to measure the level of security. Conclusions regarding the preconditions, capacity, and availability of tendencies of economic security in regions of the country have been made. Strategic priorities of the state policy for reinforcement of economic security have been substantiated.

The global process of society information has covered almost all countries of the world and is currently the core of scientific, technical and socio-economic development. The effectiveness of the power exercise in any state depends on its information support. Indeed, without information, successful political structure, the development of mass political consciousness as well as the interaction of the subject and the object of government are impossible. That is why this research aims to improve the methodics of evaluation of informational security through theoretical-methodological substantiation, forming and calculation of integral indexes of its competitiveness of a country. Global economic crisis had consequences for almost every country and cannot be ignored by any conditions, that is why the methodic of informational security calculations should be adapted to modern economic conditions. Cardinal changes in political, economic and social conditions in Ukraine causes inaccessibility of approaches to information security level calculations and particularly in the national security system. In modern scientific schools the questions of effective informational security have not been sufficiently studied. The aim of this article is to analyze active methods of state informational safety level calculations in order to adapt their indexes to actual global circumstances in Ukraine and in the world. Integral informational security have been composed of such components (indicators): income of the broadband Internet access market, dynamics of broadband Internet subscribers (connections), penetration rate of fixed broadband access (number of subscribers per 100 people), dynamics of Internet penetration (percentage of Internet users to the total population of the country), Network Readiness Index of the country, ICT Development Index of the state, Global Innovation Index, capital investments in intangible assets of Ukraine (that is, in software and databases). Every component of informational safety has factors of relevance and indispensability of reinforcement of national competitiveness on security foundations are substantiated. A taxonomic indicator is used to measure the level of informational safety. The paper proves that each of the components of the state informational security has almost equal input in forming its integral index.