The article deals with the issues of dispersion of heterogeneous liquids by spray nozzles in order to divide them into components. The influence of various parameters on the size of the droplets obtained is investigated. For the mathematical description the probabilistic approach is applied, which allows to obtain a differential function of the particle size distribution, which can form the basis of the engineering method of calculation of this class of separators. An expression for determining the average value of the angular velocity of the internal flow is compiled. These dependences allow us to calculate the most probable value of the angular velocity corresponding to the decay of complex drops into secondary ones, which are the drops of the initial liquids.

Keywords: particle, emulsion, non-uniform liquid, droplets, jet, nozzle, velocity, flow, parameter, separator

The authors propose the implementation of a mathematical model in the form of an information module. The mathematical model is a problem of nonlinear programming, the solution of which allows to optimally distribute the labor resources on the basis of statistical data and economic indicators. The process of solving the optimization problem is automated with the help of the developed web service of interactive analysis and forecasting of the distribution of labor resources of the enterprise, industry, region and the country as a whole. The information module is a web service that allows you to analyze the distribution of labor resources online and offline. The example of the analysis of labor resources of Stavropol region is given.

Keywords: labor resources, analysis, forecasting, information module

Describes the process of processing applications single user support services (UPCS), jsco «RZD», presented the objectives of the project. Are the standard time for work performed in the UPS. A model for evaluating the timeliness of processing applications, UPS created users software package. Assess the appropriateness and timeliness of information from UPCS users. The smallest probability of timely information UPS during the day will be observed from 8.00-9.00 am on Monday and from 17.00-19.00 p.m. on Friday. The optimal number of service channels for the stated criteria for timeliness of processing applications is 7

Keywords: information technology, UPS, ITSM, treatment, timeliness, processing, registration, circulation model UPS, channel services, ITC

The real estate market model based on dependence of the price on appeal of housing is offered. The results of assessment of adequacy to the offered model received during the research of 22 real estate objects of the city of Perm during the period from 2016 to 2017 are given. The structure of the tree of criteria forming a complex indicator "appeal of housing" is offered. Restrictions of use of the offered model are revealed and also the fields of her admissible use are described.

Keywords: market model, real estate object, complex estimation, tree of criteria, appeal of housing

It is considered a centrally symmetric stress-strain state of the rock mass near the underground spherical cavity taking into account the technological heterogeneity of the rocks of the near-edge region. The mathematical model was developed and analytical solutions were found for this problem. The technological heterogeneity of the elastic properties of the rock mass material was modeled by a radially inhomogeneous coefficient of elasticity at a constant Poisson's ratio. The variable coefficient of elasticity for heterogeneous rocks was approximated by a generalized polynomial with undetermined coefficients. On the basis of experimental data, a numerical calculation of the stress-strain state components for the problem was carried out, and characteristic effects were detected.

Keywords: stress-strain state, rock mass with technological heterogeneity, underground spherical cavity, mathematical model

The article is devoted to the use of a private cloud for data analysis. Modern cloud technologies can significantly reduce costs, and today many companies are increasingly moving their corporate systems and business applications to the cloud, including the data analysis process. The aim is to analyze the quotations of precious metals for the period from 01/01/2018 to 08/01/2018, taken from the information portal Finam.ru for retail traders. To achieve this goal, the following tasks were set: network virtualization, projection of a private cloud based on Microsoft System Center Virtual Machine Manager 2012, the development of a service for forecasting data on precious metal quotations (gold, silver, platinum, palladium) using a time series algorithm and a decision tree. The subject of research is the technology of the private cloud, use it to deploy the service to analyze the data. In the conclusion the results of the service are shown, the practical use of cloud computing for data analysis is shown. The evaluation of the quality of the constructed models makes it possible to consider it satisfactory from the statistical point of view.

Keywords: cloud computing, private cloud, data mining, cloud service, virtualization, data analysis, forecasting

A dynamic model of the process of internal corrosion of pipelines of heating networks is considered. Model include five level: the level of the wall thickness of the pipeline, the level of slowing down of thinning of the wall of the pipeline from pH, the level of accelerating of thinning of the wall of the pipeline from temperature, the level of accelerating of thinning of the wall of the pipeline from the oxygen concentration, the level of slowing down of thinning of the wall the pipeline from the carbonate index. The composition of variables includes one level of state, thar characterize the process of thinning the wall of the pipeline due to internal corrosion, and four levels, that characterize the performance of network water. Six rates of changing of the physical indicators, that characterize the growth (dynamics) of the ongoing process, are taken into account. Four dependencies of influence are connect the subsystems of the complex into a single whole. The results of the evaluation of the dynamics of the pipe wall thinning process in the process of internal corrosion for a period of 1 year and 5 years presented. The software implementation in the Mathcad environment is considered.

Keywords: dynamic model, internal corrosion of pipelines, corrosion of the heat network, corrosion factor

This paper presents two methods of computer simulation (quantum chemical analysis and molecular dynamics) of the interaction of additives with the iron surface. Quantum chemical interaction of silicate and phosphate additives with iron surface was carried out. The plate model was used for quantum chemical analysis, calculations were carried out in the DFT approximation. The method of molecular dynamics is based on the calculation of the evolution of the system of interacting particles of atoms and molecules by integrating the equations of their motion. It is shown that the oxidation of the surface leads to a decrease in the adhesion energy of both individual additives and their combinations, allowing to find the influencing factors on the behavior of tribosystems.

Keywords: lubricant, method, quantum chemical analysis, molecular dynamics, tribology, friction, computer simulation

Assessment of influence of speech intelligibility and reverberation time on the quality of acoustics Determination by theoretical method and computer simulation method of reverberation time in the modern audience and the audience, built more than 10 years ago. Determination of sound absorption coefficients of surface materials in both classrooms. Modernize of classrooms using wood fiber panels to increase sound absorption and reduce reverberation time. As a result, the reverberation time of the upgraded audiences has become less than one at all frequencies. This ensures good speech quality and efficiency of the educational process.

Keywords: acoustics, classroom acoustics, reverberation time, speech intelligibility, sound absorption coefficient, computer simulation, wood fiber

The article provides an overview of the methods of automatic abstracting and annotating documents. The description of classification of methods of annotation and abstracting on various criteria is presented. The algorithm of automatic annotation is described in detail, the key step of which is the transformation of all words in the text into lemmas (lemmatization). The developed program sets the upper limit of the output annotation in order to avoid receiving the abstract instead of the annotation.

Keywords: annotation, abstracting, lemmatization, algorithm, software implementation, database, text analysis

The problem of synthesis of the speed regulation law and the angle of rotation of a crawler platform with DC electric drives in a nondeterministic medium is discussed. The solution of the task is achieved by using a synergetic controller with a hierarchical control principle. The crawler platform control is considered on the basis of the mathematical model of platform motion and electric drives

Keywords: synergetic control theory, ACAR method, hierarchical method, integral adaptation, crawler platform, DC electric drive

The paper describes the regression model of the change in the ice coverage of the White Sea, obtained on the basis of satellite data of NSIDC. Changes in the ice coverage of the White Sea are mathematically described by a polynomial of the 6th degree, the quality of which is characterized by a coefficient of determination of 0.78. On the basis of the obtained mathematical model, the terms and duration of the phases of the ice regime of the White Sea are established, and also the analysis of the rate of formation and destruction of ice formations is given.

Keywords: ice coverage, ice phenomena, regression model, White Sea, satellite data of NSIDC

The article deals with the issues of dispersion of heterogeneous liquids by spray nozzles in order to divide them into components. The influence of various parameters on the size of the droplets obtained is investigated. For the mathematical description the probabilistic approach is applied, which allows to obtain a differential function of the particle size distribution, which can form the basis of the engineering method of calculation of this class of separators. An expression for determining the average value of the angular velocity of the internal flow is compiled. These dependences allow us to calculate the most probable value of the angular velocity corresponding to the decay of complex drops into secondary ones, which are the drops of the initial liquids.

Keywords: particle, emulsion, non-uniform liquid, droplets, jet, nozzle, velocity, flow, parameter, separator

With the help of the previously developed application Plex, automation of planning and conducting multifactor experiments in the study of the characteristics of field-effect transistors was performed. The regression and dispersion analysis of experimental data is carried out, the quality of regression models is estimated, the influence of the number of initial experimental points on the quality of regression models is investigated. The application increases the efficiency of research related to field experiments in determining the characteristics of field-effect transistors, as it makes it possible to reduce the number of required experiments, to automate the processes of storage, extraction and processing of information.

Keywords: planning, factor, experiment, field (unipolar) transistor, application, regression, dispersion, prediction, approximation, simulation

It is proposed to use energy efficiency as a criterion for optimizing of wood fuel production when comparing different technologies with the help of simulation modeling. The results of the calculation of the specific consumption of energy resources per unit of produced fuel chips are considered under the processing technologies under consideration. The costs of energy resources are taken into account starting from the stage of harvesting of low quality fuel wood in the cutting area, ending with shipment of fuel chips to the consumer. The energy efficiency of the considered technological process for the production of fuel chips with the help of a system of machines consisting of an feller buncher, a mobile wood chipper and a chip transport machine accounted for 93.76% with a chip transport distance of 50 km, the energy intensity of the product was 7.949 tons of fuel equivalent for 1 thousand dense cubic meters of fuel chips. The offered technique allows to make the comparative estimation of power efficiency of various technologies of manufacture of fuel chips.

Keywords: fuel chips, production technique of wood fuel, optimization criterion, energy-output ratio, energy efficiency

The methodology of regression mathematical description of fragments of experimental data of arbitrary dimension by polynomials necessary for a given accuracy of order and structure is considered with the help of a hybrid of classical regression analysis and a modified evolutionary genetic algorithm through which the polynomial structure is varied and optimized.

Keywords: optimization, approximation, regression analysis, mathematical model, experimental data, heuristic methods, evolutionary-genetic algorithm

The article is devoted to the research of methods of processing of navigation information. To collect experimental navigation information, a system based on the Real time locating system was used, which includes 9 receivers and one label. Label positioning takes place by measuring the distance from the label to the receivers (at least 3). Measurements were made at 9 points on the test polygon to determine the point with the highest standard deviation (STD). However, there is no relationship between the position of the point and the STD. As a result, data sets of navigational information were received, which are subject to further processing. The standard deviation of the navigation system is calculated. The methods of linear filtration are studied: a median filter, a moving average filter and a Wiener filter. Their effectiveness was assessed from the point of view of the reduction of STD. The algorithms of each of the filters are presented. Shown are graphs showing the smoothing properties of the filters. The general properties of the pros and cons of each filter are given. The STD is calculated after applying different filters. Conclusions are given about the most effective filter from the point of view of the STD. It turned out to be a moving average filter. However, the decrease in STD was not significant. Conclusions are drawn about the need to integrate navigation information from various sources.

Keywords: navigation, positioning, data filter, linear filter, moving average filter, median filter, Wiener filter, mobile objects control, navigation information processing, standard deviation

In the article, a numerical study of the heat sink with a change in the aggregate state of the oil is carried out. Simulation was carried out in Ansys Fluent CAD for two modes, static - with constant heating of the oil at 340K and dynamic, at which the heating temperature varied with time from 340K to 270K. Heat transfer in the event of a change in the aggregate state of a substance is widely used in cases where it is necessary to achieve the maximum efficiency of heat exchange. In this case, the energy is expended on the phase transition of the substance, for example, to evaporation from the liquid phase. The advantage of the heat-sink design described in this work is a rather high rate of heat transfer, greater resistance to various influences, including mechanical ones, which is primarily ensured by the simplicity of construction, eliminating the drawbacks of classical designs, which are cumbersome (the presence of an external cooling circuit ) and the limited rate of heat transfer.

Keywords: heat dissipation, numerical methods, aggregate state, computational experiment, heat exchange efficiency

In the article, the authors carried out a computer experiment in Ansys Fluent CAD to study the efficiency of a heat sink surface in terms of reducing the temperature of a heat-loaded source. Providing optimal thermal conditions for electronic products is one of the most important problems in the design of radio electronic equipment. Increasing the temperature of electronic products significantly reduces the reliability of their work. The work is devoted to numerical modeling of the heat sink surface efficiency of a pin radiator with an internal heat source. A conclusion is drawn about the ineffectiveness of performing a heat sink pin surface, not the entire surface is equally effective.

Keywords: thermal mode of equipment, pin heat sink, numerical methods, aerodynamic flow

Investigation of the interaction of electromagnetic radiation with molecular systems gives most of the information about their structure and properties. Interpretation of experimental data is directly determined by the knowledge of the structure of energy levels and its change in the transition of these systems to an excited state. A key task of the methods for calculating the molecular orbitals of excited states is to accurately describe the emerging vacancies of the molecular core, leading to radial relaxation of the electron density. A method is proposed for an exact description of the electron density of a molecular system near its nuclei, which provides solutions to the problem of slow convergence of molecular orbitals in a single-center representation. The implementation of the computational procedure is examined using the example of a diatomic hydrogen fluoride molecule. The energy characteristics of the ground and ionized states of the molecule are estimated

Keywords: single-center method, molecular orbital, excited state, ionized state, deep shell

In this paper, we consider the application of the optical heterodyning method for signal processing of a receiving device. The simulation of the developed scheme was carried out in the environment of OptiSystem. Also presented are the results of modeling, explaining the principle of operation of this scheme.

Keywords: optical heterodyning, radio frequency, L-band, signal spectrum

The paper presents an overview of the existing calculation schemes and the technique for obtaining the angular parts of the matrix elements of the spectroscopic quantities operators with the discussion of cases of complex electron configurations containing nonequivalent electrons. Using the example of a configuration with four unfilled electronic shells, the high efficiency of the technique for constructing wave functions of arbitrary electronic configurations is shown, based on a combination of Slater's determinant approach and the procedure for sequential coupling of orbital and spin moments on the basis of the Clebsch-Gordan coefficients in the LS coupling approximation.

Keywords: Slater determinant, Clebsch-Gordan coefficient, orbital angular momentum, spin moment, 3j-symbol, coefficients of fractional parentage, LS-coupling

The method of parametric modeling and design based on the example of a building is studied, the architectural image of which is a set of circular helical and cylindrical surfaces defined by coordinates through functions of the corresponding surfaces in the SAPPHIRE software. Alternative methods for specifying surfaces in the SAPPHIRE PC, AutoCAD with subsequent export to the LIRA PC for engineering calculations of the frame of the building for various combinations of loads by the finite element method are presented. The object of the study is a 360-meter-high building with a hardness core in the form of a cylindrical shell of revolution. The height of the floor is 3 m. Around the rigid shell there are three circular helical surfaces that "rise" in a spiral upward along with the core of rigidity to a mark of 360 meters from the level of the ground floor. One of the most universal ways to create a surface is to specify it through a formula, because you can easily change the shape and appearance of the surface without manually editing the geometry of the model in the drawing. The development of the parametric architecture calls for the creation of new approaches to the calculation of unique buildings and structures, the improvement of software complexes that implement the finite element method, and the appearance of new varieties of finite elements with curvilinear boundaries.

Keywords: parametric architecture, surface, shape of the object, shell, curve, model, geometry, program, formula surface, helical surface

The compare the durability of the existing ball bearings (SHO) with the polymer homogeneous element with the durability of the modified supports, a cell model with the averaged placement of the modifier in SHO substrate and a model for bringing the multilayer sho body to the equivalent single-layer one are constructed; calculations of contact pressure, contact deformations and stresses are performed. The calculation takes into account the rheological and physico-chemical properties of the components of SHO substrate and modifier, the influence of the environment. As a result of calculations, it was found that at all points of the contour the material experiences a biaxial plane two-dimensional stress state, called pure shear with the presence of shear stresses. The most intense point of danger is the point lying in the center of the platform of contact of details.

Keywords: ball bearing, durability, modeling, polymer material, granule, modification

The method of estimation of protection of mobile ground objects from technical means of observation of the opponent in conditions of the Arctic, executed with application of methods of the theory of simulation, the theory of random impulse streams and the theory of recognition of images is presented

Keywords: Security, probability, movable ground object, the technical means of surveillance, weapons and military equipment, simulation, pulse flows, the recognition, the telltale signs