In this study, the process of adsorption of modified rice straw was described using a mathematical description using kinetic and isothermal models. The models of pseudo-first order, pseudo-second order, Elovich and Lynuiver-Burke were used as kinetic models, and the Langmuir model and the Freundlich model are isothermal models.

Keywords: adsorption, adsorption kinetics, adsorption isotherms, Langmuir, Freindlich

The article considers the experimental estimation of the heat transfer coefficient in a hybrid immersion cooling system with contact point cooling and dry zones. The change in the heat transfer coefficient is made through a change in the Reynolds number for the flow of the coolant in the immersion cooling system. The experimental investigation is carried out on the basis of a numerical simulation model of the process under study. As a result, the dependences of the thermal resistance of the processor-heat exchanger system on the heat transfer coefficient and on the Reynolds number of the turbulent flow were obtained, and the results with the simulation results were estimated. It is found that, with an increase in the Reynolds number, the heat transfer intensification is weaker than the theoretical one. The refinement coefficients for the case under consideration are found.

Keywords: processor, heat flow, thermal resistance, Laplace equation, turbulent flow, Reynolds number, heat transfer, immersion cooling system, immersion cooling system, cavitation

In this study, the task is to simulate the cooling system of supercomputers with a heat pump on the reverse Stirling cycle by numerical simulation of heat transfer processes in the object under study. The results of numerical simulation of heat transfer processes in the superheater processor cooling system with a heat pump on the reverse cycle are presented. A numerical model of the heat transfer process was investigated. As a result, the dependencies of the required thermal lift of the heat pump are obtained taking into account the thermal resistance of the system. The first liquid cooling circuit - the cold cylinder of the heat pump and the hot cylinder system - the second liquid cooling circuit, depending on the heat transfer coefficient of the heat pump.

Keywords: processor, heat flow, thermal resistance, Laplace equation, heat pump, heat exchange, Stirling backflow, cooling system

Currently, great importance is given to the use of mathematical modeling in the conduct of system analysis. The article reveals the definitions of system analysis and mathematical modeling. Problems that can be solved with the help of system analysis are described, and the main tasks of system analysis are formulated. It is noted that system analysis is used mainly for research and design of large and complex systems. The methodological bases for the development of a mathematical model are analyzed.

Keywords: system analysis; model; system; math modeling; mathematical model

The relevance of the scientific work, the purpose of which is to set the task of planning routes for the delivery of valuable goods, is based on the existence of a significant demand for the delivery goods with the participation of specialized transport companies. It is proposed for the graph model of the transport network to create matrices that affect the complex assessment of traffic between all nodes of the route depending on the time of day and day of the week, and the experience of the personnel accompanying the goods. Integrated assessment evaluation includes cost, duration and safety of delivery. The result of the solution of the problem is the traffic route of delivery that meets the criterias.

Keywords: route planning problem, shortest path problem, transportation safety, graph model

The article describes the general model of the information system for managing information flows when renting real estate using the technology of distributed registries on the corda platform. The description of participants of the information system is presented. The key concepts of the use of distributed register technology for the implementation of the information system for real estate management are considered. The methods of data analysis of the information system for real estate management are presented. A method for approximating data using the Lagrange polynomial is considered. A method for estimating the value of real estate using artificial neural network technology is described.

Keywords: rent, real estate, data analysis, information security, neural network, distributed registries, Informatics, information system, corda

Using a device of close homogeneous exponential queueing networks (QN) a mathematical model of an distributed information system functiouning for solving the problem of getting integral indexis on the basis of local computing network on the basis of three- level client server arhitecture. The base correlation for transitione matrix probabilities constraction and intensitiese of service at the network nodes are given.The peculiarity of the model being worked out is in making a selective choice of information at the database servers and via the channel of communication not the full data base is transmitted but some separate parts of it, which satisfy the conditions of SQL-request search.

Keywords: Distributed information system, distributed data base, local computing system, mass service network, conceptual model, exponential law of distributing the random value, stationary probability, mark process, the global balance equation, system reaction tim

This article describes the stages of implementing the program to solve the task of calculating the average response time of a distributed information processing system to user requests and an algorithm for the optimal distribution of information relations over the nodes of a distributed information processing system implemented on the basis of a file server architecture and a two-tier client server architecture, with and without locks. The procedure for constructing the initial data for modeling is described: the elements of the matrix of the initial distribution of information resources (relations) over the nodes of the distributed information processing system, the elements of the matrix of information interrelation between the requests of users of the distributed information processing system and the information resources themselves, the elements of the matrix of probabilities for generating queries by users. A procedure has been developed and programmed to significantly simplify the calculation of the normalizing constant, and accordingly the average response time of the system to user requests. The results of numerical experiments are presented

Keywords: Distributed information processing system, file-server architecture, two-level client-server architecture, nonlinear combinatorial optimization, generator of equiprobable choice, Jordan-Gauss method, normalized constant, average reaction time of the syste

The presented work is devoted to mathematical model operation of the clinoid support (a slider, a guide) working on micropolar fluid lubricant in the turbulent mode of a sliding friction taking into account dependence of viscous characteristics of mikroprolyarny lubricant on temperature and pressure. We consider for a case of ""lamina"" a set of equations of driving of thick incompressible liquid of micropolar lubricant taking into account dependence of viscous characteristics of mikroprolyarny lubricant on temperature and pressure, an equation of continuity and a formula of speed of a dissipation of energy for definition of the function Ф (х) caused by a melt of a surface of a basic ring. The main performance characteristics of the considered couple of sliding friction are as a result defined. Influence of parameter which is caused by a guide melt and also dependence of structural and viscous parameters of micropolar fluid lubricant on temperature and pressure upon a carrying capacity and a frictional force is estimated.

Keywords: hydrodynamics, a sliding support (a slider, a guide), viscid incompressible fluid micropolar lubricant, the melted guide surface, dependence of viscosity of lubricant on pressure and temperature

In the paper, on the basis of the equation of motion of an incompressible lubricant having the micro-polar properties for the case of a ""thin layer"", the equation of continuity, Darcy and the formula for the energy dissipation rate for determining the function Ф (θ), caused by the molten surface of the bearing bush covered with a low-melting metallic melt of a carrier asymptotic solution by the thermal parameter K. Using a self-similar solution for the zeroth approximation, i.e. without taking into account the melt of the low-melting metallic melt, and for the first approximation, taking into account the low-melting metallic melt, the velocity and pressure fields in the lubricating and porous layers are determined, and the basic performance characteristics of the radial slide bearing are determined. The characteristic permeability of the porous layer and the melt of the surface of the bearing bush, coated with a low-melting metallic melt, on the load capacity and frictional force are estimated.

Keywords: low-melting metallic melt, porous layer permeability, lubricant with micro-polar properties, sliding bearing

The article is devoted to the development of a multicriteria transport problem solution. As criteria, the minimal cost of transportation, the minimal time of transportation, the minimal overhead charges and the maximal volume of transportations were taken. Classical methods for solving multicriteria optimization problems are modified and adapted to the transport problem specification. In Visual Studio C # programming language, is used as a software package to solve the multicriteria transport task problem by one of the methods of linear convolution, or the main criterion, or compromise method or the method of guaranteed result and to compare the results obtained. The first paragraph is devoted to the formulation and mathematical model design of four-criterial transport problem. The second paragraph contains an example the application of guaranteed result method to solve transport problem. The next paragraph describes the program realization of transport problem with four criteria.

Keywords: four-criterial transport problem, method of potentials, initial symplex table, main criterium method, compromise method, lambda-problem, liniar convolutuin method, transporat carriages, program realization, multiplicative convolution, guaranteed result me

Set out the main stages of development of the automated system of operational control in railway transport, the issue of the effectiveness of this system. Describes methods to improve efficiency, a model of the processing of information flows

Keywords: automated system of operational control in railway transport, road-network database, a table of the current status information message, the transport system, thematic table, efficiency, rail transport

In the article is considered the minimax problem solving. This is a characteristic problem of the schedules theory. As a possible method for solving this problem, a modified Goldberg model is considered, which is one of the varieties of genetic algorithms. The efficiency of this model is described on the results accuracy estimate, obtained by using a standard crossover for various types of mutations and parameters of the genetic algorithm.

Keywords: single-point crossover, genetic algorithm, modified Goldberg model, mutation, minimax problem, scheduling theory, elite individual, individual, generation

The article discusses the development of a mathematical model in the deterministic form of recording the main dependences that determine the process of vaporization in a steam power plant to produce heat and electricity when used as a source of biofuel energy. Theoretically, the parameters of the working process of the installation were calculated; thermal efficiency of the turbine; heat useful used in the boiler unit; the efficiency of the boiler; the percentage of heat loss with exhaust gases; the estimated hourly consumption of solid biofuel; the annual amount of heat obtained by burning the mass of crop residues; the theoretical combustion temperature of crop residues; the actual steam velocity in the Laval nozzle; the heat loss in the nozzle, etc.in the course of calculations with the help of a multi-factor experiment, the parameters and the shape of the turbine blade used in the installation were obtained. Using the presented mathematical model given in the article and the data of the Federal state statistics service, we obtain the numerical values of the working process of the installation working on biofuel. For convenience, all the summary theoretical data of the numerical values of the basic theoretical dependences of the mathematical model of the working process of the layout of the steam power plant for heat and electricity was included in the table. Thus, theoretical studies show the possibility of producing electricity of the required quality using straw to produce high-pressure steam.

Keywords: mathematical model the working process of the pressure volume, a steam turbine,producing heat and electric energy, biofuels

In this paper, we study the frequency dependence of the inductor with a ferromagnetic core in the sound frequency range. Based on the measurements made, a replacement circuit for the coil is constructed, taking into account the active losses due to magnetic hysteresis, as well as the capacitive component of the current appearing at higher frequencies. The method of determining the parameters of the substitution scheme is given in the article, which, due to the complexity of the mathematical model, was determined by statistical averaging of the solutions of systems of nonlinear equations. Conclusions are made about the practical application of this substitution scheme in electronic devices.

Keywords: substitution scheme induction coil, frequency dependence of the impedance of the induction coil, active losses in the core

The article reports about approximation algorithm for Integer Factoriation Problem (IFP) using reduction to optimizing case of SAT problem with 3 literals per clause (MAX-3SAT). A continuous functional that equivivalent MAX-3SAT is builded and solved by simple iteration method with variable neighboordood search and Bayesian rounding. It shown that global minimum of the functional cannot be reached in almost samples because local extremums but arguments of ones can be compared with the exact solution. The experiments show that the developed gybrid algorithm improves earlier version developed by authors. Also this method is analyzed by quantum channels defense In systems of quantum key distribution. A typical structure of one is described.

Keywords: Integer Factorization Problem, an optimzed version of SAT problem (MAX-3SAT), various neighboorhood search, continuous functional of MAX-3SAT representation, quantum key distribution

The shock interaction of the links of the mechanism of the cable trimming machine on the example of the model of "oblique" impacts is considered in the article, when shock impulses arise between the links not only along the impact line, but also in a tangent to the colliding surfaces of the plane. It is shown that the resulting significant pulses between colliding elements contribute to the creation of wave processes in long bodies. Such processes, due to their transfer to the tubular bodies of the spindles, give rise to acoustic fields

Keywords: noise generation, vibroacoustics, vibration damping, noise control, noise emission

In the article on the basis of the analysis the basic technical and organizational actions are defined that allowed to carry out statement of a task on improvement of system of management of technological process of portal car wash. A mathematical model of fuzzy car wash control is developed due to the program control of water supply depending on the shape, geometry and degree of pollution of the car, in order to reduce water consumption and improve the energy efficiency of the portal car wash. Mamdani algorithm is proposed as fuzzy inference algorithm, which is easily implemented in MATLAB software product on the basis of knowledge and experience of experts, as well as modeling of the operator. Formalization of the description of water supply level, shape, size and degree of pollution of the car is carried out by means of linguistic variables, their type and description of elements of thermal sets of these variables is given. The proposed mathematical model can be used in the design of control systems and other types of automatic car washes.

Keywords: car wash, mathematical model, fuzzy control, fuzzy inference algorithm, linguistic variable, term-set of linguistic variable, basic set

Passive detection sensors are widely spread in engineering-technical systems of information protection. During designing such systems, it may be difficult to calculate the coverage areas of infrared detectors. This is due to the fact that the problem of establishing a relationship between the theory of statistical detection and the choice of parameters for the equation of the maximum detection range is not considered in detail. In this regard, the task was to develop a method for applying the basic equation of passive location to calculate the coverage areas of infrared detectors. The calculation method is developed on the basis of the equation of the maximum range of the passive receiver. The study considered three models of the signal-to-noise ratio: a signal against a white noise background with fully known signal-to-noise parameters; detection of a signal whose phase and amplitude are unknown; and detection of a random signal against a noise background. As a result of the research, the conditions under which the passive signal detection formulas on the background of noise give correct results were found. Thus, the connection of the statistical theory of detection with the equation of the range of the passive emitter was established.

Keywords: information security, infrared detector, passive location, engineering and technical protection, the pyroelectric element

In this article to solve the problem of optimal distribution of information resources over the nodes of distributed inorganic system according to the criterion of minimum of the medium time, the response of the system to the requests of the users an original heuristic algorithm is proposed that uses the notion of databases as points of a mulltidimensional space, but about nodes in which these bases are placed as clasters. The resuts of numerical experiments are presennted depending on the architecture of the distributed system used and on the method of ensuring data integrity. Numerical experiments showed rather high efficiency of the proposed algorithm.

Keywords: Distributed information system, distributed data base, local computing system, mass service network, non-lineare combinatorial optimization, query generation, a matrix of probabilities for generating queries by users, a matrix for distributing relations a

The article once again highlights the problem of injury growth in our country. The article presents the developed digital jumpsuit for work at height, excluding the possibility of violation of the rules of TB, controlling the integrity of the belts. It is concluded that human security, his life can not be given to him only in a rapidly developing technogenic society, a person should actively help digital technology

Keywords: poor working conditions, simple protective measures against the fall of man, fiber optics, probability, risk, and digital technology

The econometric analysis of GDP per capita in the Russian Federation is being given. The number of the departured people from the Russian Federation, nominal average charged wages and exports volume are used as the exogenous variety. The received model of the multiple linear regression is being studied for quality.

Keywords: gross domestic product, GDP per capita, econometrics analysis, multiple linear regression model, endogenous variety, exogenous variety, heteroskedasticity

Optimal usage of territories appears as applicable problem at the present time. Its description is hold in geographic information systems (GIS) and may be used for solving ecological, administrative, transport and logistical tasks. We consider to use topographic maps for production GIS. By now algorithms for reconstruction of plan of contour lines are developed. This plan of contour lines appears as matrix of spatial scattered data, which are needed to interpolate for production a digital terrain model. There are some common algorithms for interpolation (linear, cubic spline, natural), but they aren’t fit for good shape reproduction. We consider an algorithm based on 3-class classifier of points. Points of 1st class are between two contour lines and are interpolated by n nearest points of the nearest contour line and the nearest point of another line. Points of 2nd class are inside of one contour line, accord with peaks or depths and are interpolated with similar algorithm and value of extremum which is taken by mark of height is used. Points of 3rd class are between a contour line and boundaries of topographic map; their interpolation may be taken by union of several maps and they become points of 1st class. Processing speed, maximal error and mean-root square error are used as measure of quality. Considered algorithm has shown improvement by comparison with other methods with decrease of errors and nonthreatening increasing of processing time.

Keywords: interpolation, geographic information system, topographic map, digital terrain model, scattered data

In this paper we consider the problem of constructing a precise passability model by point cloud obtained from stereo cameras. To solve this problem, we used a hierarchical elevation map. The criterion for dividing cells into smaller ones was extended to take into account the cell's completeness with a limited field of view. The passability model was also supplemented with an algorithm for detecting step obstacles. The accuracy and completeness of the detection of obstacles and a free surface was calculated experimentally on dataset taken in real conditions. The result of the experiment shows that the proposed approach increases the number of detected obstacles without significant loss of accuracy.

Keywords: passability model, elevation map, obstacle detection, stereo vision, principal component analysis

An analysis of the mechanisms limiting the growth of the output characteristics of ion recombination He-Ca lasers with an increase in the active medium volume and frequency of pulse repetition is carried out. It was established that by a growing laser tube diameter and a growing frequency of pulse repetition the average power of He-Ca lasers saturates and then decreases due to the formation of radial non-uniformity of the active medium as a result of its overheating on the axis and of the radial cataphoresis, as well as because of the raise of the electron temperature level in early afterglow, conditioned by the grow of gas temperature. It is pointed out that as possible ways of increasing the output characteristics can be used the blackening of the laser tube surface, the use of an independent input of calcium vapours, the use of a forced cooling, while the application of a tube with rectangular cross-section will allow to maximally increasing the energy characteristics. Based on numerical computations it is shown that the attainable maximum of running power of He-Ca lasers amounts to: ~ 4.4 W/m for self-heating active elements from BeO-ceramics and ~ 5.2 W/m – on blackening their surface; ~ 5.3 W/m for an independent calcium vapours input and ~ 6.2 W/m – for its combination with blackening; ~ 9.5 W/m for an intensive forced cooling of active elements with cylindrical geometry; ~ 16 W/m – with active elements of rectangular cross-section at a ratio of wall sizes 1:3.

Keywords: metal vapor laser, the ion recombination He-Ca laser, pulse-periodic discharge, gas-discharge plasma, self-heating regime, mathematical modeling