The article presents the solution of the technical and economic efficiency of capital investments in the reconstruction of the heat supply systems of municipal and departmental entities of the Russian Federation using the criteria for choosing a rational reconstruction option. The economic-mathematical model was developed using modified Cobb-Douglas two-factor production functions in relative coordinates.

Keywords: heat supply system, high-temperature fluidized bed, capital costs, operating costs, economic and mathematical modeling, production functions

The article presents the results of the development of a method for predicting trends in the development of random processes based on ordinal statistics, namely, the median and Hodges-Lehman statistics. The article discusses the proposed method in detail: it provides basic definitions, formulas for the calculation, a detailed description of the algorithm. The algorithm is implemented in the form of a software module that has practical application and can be used to solve problems of forecasting the trend of financial time series. The comparative results of applying the prediction method for the RTS index in the case of the use of the median and the Hodges-Lehmann statistics are given.

Keywords: ordinal statistics, random variable, random process, median, Hodges-Lehman statistics, forecasting, trend, mean square error, mean absolute error

A modification of the generalized algorithm for processing weakly formalized information is considered. It is assumed that in the processing of weakly formalized information it is important to consider external and internal factors. External factors are determined by the characteristics of the incoming information. Internal factors are determined by goals, objectives, methods, etc. The importance of taking into account the latter is that if goals are clear, tasks are set, methods for solving problems and achieving goals are known, then the volume of information being processed is significantly less and the speed of achieving goals is significantly greater. The increase in the speed of processing incoming information is achieved due to the fact that the information processing system adapts to the purpose of information processing. The dominant state of the information processing system is formed taking into account the goals of information processing and the characteristics of the incoming information (the dominant of A. A. Ukhtomsky). Thus, the processing of weakly formalized information from various technical systems allows, taking into account the dominant of A. A. Ukhtomsky, to take into account in the dynamics not only the external impact of the incoming information on the system processing information, but also the state of the information processing system. This system adjusts to the goals of information processing and taking into account the purpose of information processing and the characteristics of the incoming information, the dominant state of the information processing system (dominant) is formed. This allows you to reduce the processing time of incoming information due to the fact that the dominant formed means that the information processing system knows how to process information that has not yet arrived, but it is expected that it will soon go to the sensors of technical systems. In the process of processing the system of processing of weakly formalized information, the dominant may change over time. These changes may be due to changes in both the purpose of collecting the information and the characteristics of the incoming information. Such an approach, which takes into account the dominant of A. A. Ukhtomsky, allows processing large volumes of information in real time and can be used in the development of control systems.

Keywords: information processing, weakly formalized information, algorithm, dominant of A. A. Ukhtomsky, lack of information, control

The article describes in detail such a tool as computer modeling - the concept, its types, the application spectrum and significance. The paper considers the role of computer modelling in the research and analysis of the condition of technical objects on the example of the temperature stabilization system of the cooling element of a thermobox. The construction of a system for stabilizing the thermal mode of a cooling element of a thermobox in the form of a mathematical model is presented, and its numerical analysis is presented in the graphical simulation environment Simulink of the MATLAB software package. According to the study, conclusions were drawn about the importance and effectiveness of computer modelling in the design and evaluation of the behavior of complex systems.

Keywords: computer modelling, mathematical model, experiment, thermobox, electric motor, the Peltier element, temperature, radiator, fan, transients, steady state

This article describes a software package to solve the problem of optimal placement of information resources-fragments of a distributed database on the nodes of a distributed economic information system by the criterion of the minimum average response time of the system to user requests. The software complex consists of software-implemented mathematical models of distributed systems of processing economic information on the basis of file-server, two-level client-server and three-level client-server architecture, as well as optimization algorithm. The developed software product also allows to make experiments for obtaining and subsequent analysis of the dependence of the reactivity of distributed systems on such integral characteristics as the dimension of the problem, the intensity of the formation of requests by users, the speed of message transmission through communication channels, the speed of reading, the speed of writing and processing in the nodes, which allows to implement a more rational organization of the computational process in the system. The software was implemented in C#, the NetFramework 4.6.1 platform, using the Microsoft Visual Studio 2017 Community development environment.

Keywords: economic information system, distributed information processing system, architecture "file-server", two-level architecture "client-server" three-level architecture "client-server", the global balance equation, a closed exponential queueing network

The problem of the propagation of nonlinear surface waves in a magnetized liquid of infinite depth is solved. The dependence of the frequency of wave oscillations on the magnitude of the magnetic field strength is shown in the graphs. Trajectories of motion of particles of liquid are found. The effect of a magnetic field on the height of a wave is investigated. The results of the study can be used to calculate various technical devices and technological processes.

Keywords: surface waves, magnetizable liquid, magnetic field, wave number, frequency of wave oscillation, magnetic field intensity

This article will analyze the effect of Gc on the propagation of cracks in glasses with different material properties. The analysis demonstrated that with decreasing Gc, the crack length will increase and, with a larger applied force, the effect of Gc on the crack propagation in the structure decreases.

Keywords: fracture mechanics, fats fracture, Gc, crack propagation, Code_Aster, Solome Meca

Numerical modeling of the temperature distribution during heating (annealing) by a pulsed Nd: YAG laser of an amorphous silicon (a-Si) film on the surface of an AZO glass substrate is carried out. The simulation was performed on the basis of a numerical solution of the heat equation in the Matlab program to determine the energy density of the laser radiation necessary for crystallization of the a-Si film. For a wavelength of 1064 nm, it was obtained that the temperature at the surface of the a-Si film reaches a maximum value at a time point of 146 ns with a laser pulse with a Gaussian time-shape. It is shown that for the crystallization of an a-Si film with a thickness of about 800 nm with laser radiation with a nanosecond pulse duration, the optimum energy density is 600-700 mJ / cm2 when the temperature across the thickness of the a-Si film corresponds to 550-1250 ° C.

Keywords: Numerical simulation, laser annealing, temperature distribution, a-Si film, solar cell

The results of a numerical experiment that obtained with using of the developed mathematical model of the operation of the power supply system of the greenhouse are presented. The list of input factors of the model included external factors: ambient temperature, length of daylight hours, wind speed, insolation, and factors that characterize the internal working conditions of the greenhouse.The values of external factors varied within the average daily values for the location of the greenhouse, the process parameters were determined taking into account the possible modes of operation of the greenhouse. The dependences between the amount of thermal energy consumed by the greenhouse, the energy consumption of the energy supply system, the gross energy consumption of the energy supply system, the utilization rate of gross energy and the levels of factors are shown. The results of the analysis of the obtained dependencies are presented.

Keywords: modeling, power supply system, greenhouse

This study examines the dynamics of the perception of individual segments of the advocacy news. A probabilistic-stochastic approach for simulation is proposed. As the main actor describing the situation, the probability of a positive assessment of the veracity of the new information by a separate subject is taken. For the description of the process of forming the relation to it the discrete-event paradigm is chosen. The change in the level of evaluation occurs under the influence of random perturbations of the individual's opinion, experienced at discrete moments of time. An intuitive recalculation after this perception of the news is modeled based on Bayes ' theory of decision making. Mathematically, this approach fully coincides with the previously used by us in the numerical analysis of the resolution of intrapersonal conflicts. The results revealed at that time were adapted to study the dynamics of the perception of propaganda news by a neutral part of the population. Which is made by the individuals estimating truthfulness of propaganda activity as a whole neutrally, at the level of ½ (on a scale from 0 to +1). It is found that when assessing specific news such neutrality is violated, in the end, the individual believes the news is either completely true or false. But it is already being restored at the level of the ensemble of all news. About half of them are considered by the individual to be true, half – false. The time before the formation of the final perception of a particular news depends on the degree of its importance for the subject, and the minimum is observed at the level of significance slightly below the maximum. The model of taking into account the social environment in the resolution of intrapersonal conflicts has also been adapted for the analysis of the perception of propaganda information. While the assessments of the credibility of the individual stories of neighbors are correlated. Over time, clusters with the same perception are formed in society. Ideally, in the absence of other influences, eventually one opinion is formed in the whole study group. Here again, for some propaganda news, the neutrality of perception is broken, but it is restored at the level of the ensemble of all news. The proposed models can be used to study not only the neutral part of the population, but also groups with any level of assessment of the truthfulness of propaganda in General, both homogeneous and heterogeneous in this parameter. In addition, the proposed approach can serve as a basis for the study of the impact of agents of influence (in the information space) and the development of advocacy strategies.

Keywords: propaganda, perception, in General, separate news, modeling, probabilistic-stochastic approach, discrete-event approximation, Bayesian theory, multi-agent analysis, social environment, clustering

Article is devoted to process of development a simulation model of satisfaction with work employees in the organization. In article influence of various factors on satisfaction with work of the worker is considered. The basis of this work was formed by theoretical approaches to the organizational conflicts and motivation of personnel of foreign and domestic researchers. A simulation model of job satisfaction is based on the paradigm of system dynamics. Process of simulation of model allows to show visually under the influence of what factors there is a transition of conditions of workers from "satisfied" in "unsatisfied" / "conflicting " and back.

Keywords: conflict, organization, simulation modeling, advanced training, job satisfaction, factors, system dynamics

In this paper, a numerical study of the optimized body shape with minimal aerodynamic drag has been carried out. A computational experiment involves the transition from the study of a real object to the study of its mathematical model, for the study of such processes, a full-scale study of which is impossible, for some reason is difficult or expensive. The conditions for comparing the forms of bodies in a computational experiment are that they are kept constant for all bodies: the volume and shape of the working area; distances from sources, drains and centers of bodies; gas flow rates; body mass and other secondary characteristics besides just the very shape of the surface.

Keywords: aerodynamic resistance, optimized body shape, numerical simulation, computational experiment, temperature field, convective heat transfer

The article presents materials on the creation of Parking management AIS. The results of simulation modeling, which allowed to identify the "bottlenecks" of the project. Design diagrams have been corrected, processes have been included to optimize the operation of the Parking lot. The user interface is shown, the prospects of the system development are outlined.

Keywords: modeling, implementation,information system, IP design, Queuing system, diagram, Parking

This article examines the structure of the mathematical model, which is based on the agreement of private and public interests of agents. The main task of modeling is to review the possible options and determine the appropriate strategy to maximize revenue for those promoting innovations. The first option is the public interest (interest of the enterprise). In this version, agent promotes innovation, for which he receives encouragement from the supervisor. The second option is a private interest (personal interest of agent). Here agent is engaged in third-party activity, which also brings him income. The model is hierarchical, two-level. The algorithms for constructing equilibria for different game strategies are given. The numerical implementation of the proposed algorithms is based on simulation modeling. Numerical calculations are carried out. A comparative analysis of the effectiveness of various management mechanisms for the model of innovative development of the enterprise is given.

Keywords: Stackelberg game, Stackelberg game with feedback, hierarchy, simulation, innovation process, motivation

The article is devoted to the study of changes in the number of employed in the economy of the Russian Federation, which should occur as a result of the pension reform in 2018. As the dominant deterministic factor of forecasting the average variant of demographic forecast of the population of the Russian Federation till 2030 is used. The factors of influence are the levels of employment in the context of annual age and gender categories. The growth of the average age of the employed population in Russia and the oscillating "sawtooth" behavior of the labor outflow coefficient during the transition period of the reform from 2019 to 2028 are shown. At the time of the reform, the annual need of the economy for personnel will significantly decrease, which will cause difficulties in finding work for the bulk of job seekers – graduates of the vocational education system, who enter the labor market every year.

Keywords: number of employees, economy, retirement age, pension reform, labor market, demography, natural-age retirement, forecasting

A nonlinear boundary value problem on the propagation of surface waves in a layer of viscous incompressible fluid of infinite depth is considered. Equations of motion and boundary conditions are written. The solution of the problem is found by the small parameter method. An expression for the damping decrement of the wave oscillations is obtained. The program code in C++ for the numerical study of the propagation of nonlinear waves on the surface of a viscous liquid is developed.

Keywords: viscous liquid, slabowska fluid, nonlinear surface waves, the damping rate of waves, phase velocity, frequency wave

The dependence of the values characterizing the propagation of nonlinear waves on the surface of a liquid conductor on the electric field strength and on the wavelength is described. Electrohydrodynamic waves are investigated, namely, the motion of drops, convective motion of liquid, deformation of drops and bubbles in the applied electric field, propagation of surface waves in a linear approximation are considered. A mathematical model of nonlinear wave propagation on the charged surface of a liquid conductor is constructed. The graphs of the dependence of the wave oscillation frequency on the electric field strength and phase velocity on the wavelength are plotted.

Keywords: nonlinear surface waves, liquid conductor, dielectric constant, phase velocity, magnetic field strength, surface charge

The article proposes a concept system of connected together and arising from one another views on the creation and practical use of shore control center (SCC) by autonomous unmanned underwater vehicles (AUV). Within the framework of the above concept, the threats having the most significant impact on the AUV control, as well as the methods and means to counter these threats, are determined. The information passing and processing in a system for collecting, transmitting and displaying information (SCTDI) are considered as a parallel set of independent routes, information on which flows to the SCC AUV. In terms of the theory of flows and queuing systems (QS), in a dynamic sense, the system of collecting, transmitting and displaying information (SCTDI) deals with the composite flows, which are non-stationary in general, possibly with after-effect (correlation). Fines are in force at all levels of information collecting and transmitting and even imposed on a decision maker (DM) who makes a decision to use the AUV. Considered are the possible options for coordinating decisions developed by the SCC and AUV automated control systems, in which the decisions are made by the artificial intelligence created by man. The lower level consists of a collection, a series of convolutions and contractions, and finally, the Z-scene itself, messaging, situation, and just the situation is the subject of cognitive identification in the X-scene by the decision-making system. That is, the decision block includes an automated subsystem and a decision maker, which interact in a dialog mode.

Keywords: coastal control center (BCU), autonomous unmanned underwater vehicle AUV, system for collecting, transmitting and displaying information (CSPAI), queuing system (SMO), System for collecting, transmitting and displaying information ACU, decision making

The creation of a social project-a portal for the management of Rostov-on-Don "South-Western deanery". The second and third stages of the LC IP creation are presented: design and implementation of the portal. We used CASE technologies for design. The UML language in the Rational Rose platform realized methods of the object-oriented approach. ERD diagrams were built, using ERWin case technology for the database design according to the rules of IDEF1 and IDEF1X standards. The user interface design is also given. The described model was implemented, using the WordPress CMS technology platform. The fragments of the created Web-resource are given.

Keywords: pilgrimage, virtual tour, information system design, object-oriented approach, Rational Rose, UML, sequence diagram, cooperative diagram, data base design

The article analyzes and simulates the business processes of Parking within the framework of the structural approach. The charts of IDEF0, DFD and ERD models created using AllFusion Process Modeler and ERWin Data Modeler software products are presented

Keywords: Parking lot, process, modeling, analysis, business processes, CASE tools, IDEF0, DFD, ERD, software product, business process, chart

This article presents a mathematical model of the distributed registry as a Queuing network. The main components of this network, as well as their formal representation are considered. The model of the peer-to-peer network is visualized, the vector of the network state is defined, and the restrictions of the state space are defined. After that, the laws of distribution of individual flows and service time were presented. In addition, the design elements of the infinitesimal matrix were determined. Based on the data obtained, a simulation model of this process was produced. For simulation, the Anylogic package was used. The results of simulation were analyzed and the most optimal parameters were selected.

Keywords: Queuing network, information security, distributed registries, computer science and engineering, mathematical modeling information system, corda

In this scientific article the algorithm of approximation of curve surfaces of irregular geometrical shape is considered by the line developed surfaces. The methods of graphic modeling of a surface which are of interest are analyzed. Need of application of various ways of modeling of difficult surfaces for the modern world is reasoned. It is shown that certain algorithms of approximation of line surfaces can be demanded at rational use of calculations at a stage of designing of a wide number of products in construction, architecture and the equipment.

Keywords: approximation, algorithm, line surfaces, modeling, curves, surface section, technical designing

The analysis of reliability of systems of an electricity transmission during which the main causes of the power outage in the consumer were identified. With the help of computer simulation, the results of operation of autonomous inverters are obtained with different number of voltage levels. The prospects of using the devices for balancing the incomplete-phase regimes on the basis of multilevel voltage inverters, which improve the reliability of power supply to consumers, are considered.

Keywords: analysis, stream of the failure, electricity, the balancing device, emergency operation, recovery time, failure, reliability, multilevel inverter, power line, user

The possibility of getting natrium-carboxymethylcellulose with given viscosity from different raw materials for oil industry is shown in the paper. The regression model, connecting rheological characteristics viscosity with parameters of the technological process is proposed. The program for IDE Microsoft Visual Studio medium which may be used for calculating Na-CMC synthesis parameters, providing the given in the frames of the technological process viscosity value, is developed.

Keywords: natrium-carboxymethylcellulose, rheology, viscosity, etherification, alkalinity

The article proposes a technique for constructing a model for optimizing the taxation of profits for its implementation in the practice of organizations - large taxpayers in both the Rostov region and the Russian Federation as a whole. Methods for calculating the coefficients for assessing the efficiency of the mechanism for optimizing the taxation of profits of organizations - large taxpayers - are proposed.

Keywords: financial stability, tax burden, tax benefit, optimization, taxation, taxpayer, profit