Russian Journal of Mathematical Research. Series A

49-61

Authors: Viktor I. Samarin, Simon Zh. Simavoryan, Arsen R. Simonyan, Elena I. Ulitina

Electronic information systems, used as an operator, regulator, communicator, navigator, tutor and verifier, are introduced into all spheres of human activity. On the basis of target software products of information processing and decision-making, the real-time management of production and technological, financial and banking, scientific and technical, political, energy-producing and distribution, educational and educational, advertising and trading, strategically important communication, military-operational and other processes is carried out. The issues of improving the functioning of queuing systems as an integral part of the digital economy are considered. The actual tasks to be solved in the field of developing intellectual information protection means are proposed.

67-73

Authors: Arsen R. Simonyan

In this paper we consider a single-channel queuing system with a Poisson incoming flow. For this system, the extremal problems for the Laplace-Stieltjes transformations and the moments of the distribution functions of the basic characteristics (periods of employment, waiting times) are solved with expectation. Problems are solved with moment constraints. The assumption that the incoming flow is Poisson is not a too strong restriction, but on the other hand it simplifies the apparatus for studying this system. This assumption enables us to arrive at more compact results.

10-14

Authors: R.A. Khachatryan

The cones of the tangent directions of the second-орdеr for sets defined with constraints of equality type are constructed. They may not be twice differentiable. There are obtained the second-order conditions.

29-33

Authors: Aleksandr V. Volkov, Tatyana A. Volkova-Goncharova, Arsen R. Simonyan

The sustainable development of territories today is the subject of numerous studies by russian and foreign researchers. But among the studies an insignificant part is devoted to constructing a mathematical model. In this paper, an attempt was made to construct a mathematical model of a stable territorial economic system, using the example of a tourist and recreational complex. To achieve the goal, the apparatus of the mathematical theory of inventory management was applied.