In this paper, we consider the structural modeling problem of an oligopoly market for an arbitrary number of agents, the linear and nonlinear models of market demand, and the nonlinear models of agents’ costs. The equilibrium behavior of the agents is described on the basis of conjectural variations in the Cournot or Stackelberg reaction models (in the cases of one or several leaders). The adequacy of the Cournot reaction model is demonstrated using the equilibrium modeling of the Volga region telecommunication market, where the price functions and agents’ cost functions for the voice and Internet services are defined by statistical analysis methods.

Qualitative analysis of three-dimensional deterministic mathematical models of population dynamics of two types is performed: the model which takes into account the competition and diffusion of species and the model of interaction of populations which takes into account mutual interaction between the species. The combination of known methods of synthesis and analysis, and developed method of construction of stochastic self-consistent models is used in the research of these methods. Existence conditions of equilibrium states are obtained and the analysis of stability is performed. The corresponding nondeterministic mathematical models are constructed by means of transition from ordinary differential equations to differential inclusions, fuzzy and stochastic differential equations. Using the principle of reduction, which allows us to study stability properties of one type of equations, using stability properties of other types of equations, as a basis, sufficient conditions of stability are obtained. The synthesis of the corresponding stochastic models on the basis of application of the method of construction of stochastic self-consistent models is performed. The structure of these stochastic models is described, Fokker-Planck equations are given, the rules of transition to the stochastic differential equation in the form of Langevin are formulated, and computer simulation is carried out. The obtained results are aimed at the further development of methods of construction and the analysis of nondeterministic mathematical models of natural sciences with carrying out computer experiments.

In the article the main opportunities for engineers at the GIS creation/updating of systems by means of multicopter aerial photography systems are described. Usage of the methods described in the article will allow increasing the speed and informational content of the GIS construction/updating at rather small labor costs. Besides, the described automation of the processes of filming from the unmanned aerial vehicle will allow to supplement three-dimensional models of objects in GIS with earlier inaccessible data.

In the nonlinear problems of optimal control, a nonlocal improvement procedure with a linear Skolem’s function was constructed for the continuous and discrete systems on the basis of V.F. Krotov’s theory of sufficient optimality conditions. Examples, including improvements of the singular and nonsingular Pontryagin extremals, were given.

Содержание настоящего доклада (Valentin Nechaev, Vladimir Goncharenko, Alexey Rozhnov, Andrey Lytchev, Igor Lobanov. Integration of virtual semantic environments components and generalized Data Envelopment Analysis (DEA) model // CEUR Workshop Proceedings (CEUR-WS.org): Selected Papers of the XI International Scientific-Practical Conference Modern Information Technologies and IT-Education (SITITO 2016), Moscow, Russia, November 25-26, 2016. — Vol. 1761. — 2016. — P. 339-347) также доступно по ссылке http://ceur-ws.org/Vol-1761 In this paper the problem-based learning systems and integration of its intellectual components into expert systems are investigated using data envelopment analysis approach. Accelerated staff training is a factor of future effectiveness of mixed groups of robotic systems created from these basic components. Also effectiveness achieved by taking into account the information on the latest developments, and using the high quality software and training facilities in test bench, i.e. by improving training and material support of universities. An implementation of the original problemoriented system on the basis of pertinent search algorithms for processing of information resources is invited to consider for further comprehensive study of the conditions and interaction information. Simulation the activity of mixed robotic groups is performed by using the knowledge base on bionic technology. Moreover, a number of substantiated proposals for the development of operational processing technology and pertinence of information resources under the International Charter on Space and Major Disasters has a significant effect in the present conditions. The innovative potential of the virtual environment in the long term can be used for development an unmanned vehicle as a component of intelligent city. Another application of the proposed approach is 3D-visualization software and hardware solutions and integration of its components in the simulation of mixed (space) robotics groups and even game applications.