In this paper, we studied a dynamic model of the production of a public good, taking into account the corrupt distribution of resources and private interests, formalized as a cooperative differential game with the Neumann-Morgenstern characteristic function. The proportional and linear mechanisms of resource allocation are analyzed. As a solution of the game, the Shapley vector was chosen, which is found for test examples using computer simulation.

Keywords: cooperative differential games, corruption, resource allocation, imitation modeling, qualitatively representative scenarios

Failures in modern communication networks are a factor affecting the indicators of economic efficiency of the organization. The main objective of the project is to study the failure of network elements in order to improve the reliability and resiliency of communication systems by making changes to its structure. The selected recovery strategy for a failed item can significantly affect reliability performance. Results are important to ensure the required level of fault tolerance with limited operating costs.

Keywords: fault tolerance, high availability, failure, reliability, recovery, simulation

The city traffic system and average arrival time with traffic jams problems considered. Study of influence of various routing algorithms and average arrival time in case of city transport system is the main purpose of the paper. During the study authors suggested to use mathematical model of city routing system which presented as compositions of oriented roads graph with weights of each of its edges and two city population density matrixes which represents density of working and living city population. Also authors used cars representations in the mathematical model which are using one or the other routing algorithm to reach the destination point. Suggested mathematical model includes some restrictions which goes from real city cars limitations. In the paper authors used suggested mathematical model to show examples of calculations some simple traffic routes situations and offered some optimizations of the situations. At the last part of the paper authors wrote about simulation modeling software AnyLogic and how this product can help with simulate the whole city road graph. In conclusion the authors says that the paper might be starting point of further solutions for city traffic routing problems.

Keywords: automobile traffic, routes, road graph, smart city, graph, simulation, traffic flow, travel time, throughput, optimization

in the work, based on the results of previous studies of the program Fractan, described developed a VBA computer program for fractal time series analysis of measurement results. The method of estimation of accuracy of the offered program is developed. The results of the study of the developed computer program showed high accuracy of the algorithms for calculating the Hurst index incorporated in this program

Keywords: Fractan, time series, fractal analysis, fractal dimension, Hurst index, R / S analysis

The article presents the theoretical foundations of altimetry and measurement of airspeed and mathematical models of air pressure probes as part of air data system. The influence of external destabilizing factors, such as deformation of the flow near the aircraft fuselage due to action of Environmental Control System to functioning of aviation devices is considered. The calculation of the external flow around the fuselage of the aircraft to determine the pressure values at the installations locations of the air pressure probes. Applying the numerical research results and analytical methods, were calculated the values of altitude and registered calibrated airspeed for each air pressure probe. Conclusions are drawn about the effect of Environmental Control System for pressure perception by air pressure probe. ANSYS CFX software was used for modeling and engineering calculations of the external air flow around the aircraft fuselage.

Keywords: air pressure probe, static pressure receiver, artificial feel system pitot, mathematical model of the air pressure probe, environmental control system, air data system, altimetry, airspeed, ANSYS CFX, aerodynamic calculation

On the basis of the model of non-piston displacement of oil with water, a mathematical model, algorithm and software product are presented, which allows to conduct numerical studies of the indicators of the development of a layered layer, taking into account the method of flooding the field: reservoir water temperature or hot water.

Keywords: continuity equation, heat transfer equation, non-piston displacement of oil by water, finite-difference scheme

A comparative analysis of the use of distributed and multiprocessor systems of various classes for image processing tasks is considered. Designations and classifications of calculations, the nature of frequently used operations for image processing, the classification of architectures for image processing are given. Issues of correspondence of general classes of computational architectures to types of computational operations used in image processing are investigated. It is shown that each architecture has advantages and disadvantages in some special processing areas, but none of them is optimal for all cases. The most appropriate approach to determining the performance of distributed and multiprocessor systems in this case is the process of their architectural modeling, followed by emulation on the resulting HINT-type test model. The advantages of this approach are the possibility of obtaining a reliable estimate of the performance of the entire system as a whole, as well as the simplicity of its implementation for various architectures.

Keywords: image processing algorithms, distributed systems, multiprocessor computing systems, image analysis, architecture classification

This paper describes the process of the flight of powder particles when departing from a nozzle during laser deposition under the influence of an electrostatic field created by electrostatic lenses. Electrostatic force acting on charged particles, interaction between particles, dipole interaction with a field, and gravity are taken into account.

Keywords: simulation, laser cladding, gas powder flow control, electrostatic lens, focusing

The authors consider the issue of assessing partial failure in the technical system from the standpoint of parametric reliability. Evaluation of failure behavior is carried out according to such parameters as time between hours to failure and the achievement of goals, risks. Under the risk in this paper refers to the likelihood of a subsequent failure (full or partial) or the transition occurred in full. The authors propose to expand the range of parameters that characterize hitting a failure state by adding characteristics of possible degradation processes and values of destructive environmental factors in the predicted period of continued operation of the object under study. Also, special attention is paid to the fact that the likelihood of partial failure is influenced by factors that can be divided into external and internal, while the internal ones may depend on external ones. Ishikawa diagram shows the dependence of the rate of degradation of the PR on various factors.

Keywords: partial failure, parametric reliability, risk, time of failure degradation, Ishikawa diagram

An algorithm for generating and calculating a cargo plan for the Annenkov ferry is described. On the basis of data from the automated control system for the operation of the Caucasus station of the North Caucasian Railway, a software application is being developed that allows to automate the process of drawing up a freight plan. It is proposed to upgrade the existing process of sorting in the process of following the composition in the cargo port

Keywords: cargo plan, Annenkov ferry, port of Kavkaz, algorithm for forming rail carriages, mobile application, cargo transportation, rail-ferry service

The paper deals with the derivation of the basic relations of the theory of finite rotations. A numerical study of the dependence of the guide cosine of the final rotation on the guide cosines of a fixed coordinate system and the coordinate system associated with a solid is carried out. The formulas for the cosines of the angle of final rotation are obtained. The developed program of calculation of the values of the guides of the cosines of the final turning of the quantities in the problem statement. A graph of the dependence of the guide cosine of the final turn on the sine of the angle of the final turn. This dependence is clearly displayed when the program is started.

Keywords: vector orientation in space, spherical trigonometry, finite rotation angle, guiding cosine, Euler angles, finite rotation

The paper presents an analytical description of the unfolding surface of one of the products of light industry – aerodynamic shape. All surface elements are designed in the Maple environment based on the 4GL package commands. A set of commands allowing to describe surfaces and spatial curves analytically is proposed for the construction of 3D graphical objects. Elements sweep aerodynamic shape are conical and cylindrical sweep with a special character of their boundaries. The proposed description of the surface of the air shape allows you to design a technical product of specified geometric dimensions according to the calculated geometry of the elements of the air shape.

Keywords: description of the spatial shape of aero figures, Maple 2015 package, 3D graphic objects of conical and cylindrical types, 2D scanning

This article presents the results which purpose of cases of intentional distortion of "objective" ratings based on individual indicators. The aim of the study was to build an algorithm for determining unfairly placed places in the ranking as a result of manual adjustment. The main tool is the identification of the weight coefficients of private ratings with a known form of the functional dependence of the overall rating. The analysis of techniques of creation of one of popular Russian ratings was for this purpose carried out, mathematical models of dependence of the general rating of higher education institution on its private ratings are received. It was revealed the presence of subjectivity in the construction of the rating, which manifests itself in the form of an unfair score. Standard methods do not allow to reveal such non-random "emissions" and do not provide an objective assessment. The offered algorithm allows to find such "emissions", to exclude them from selection and define fair values. The offered algorithm can be useful for heads of universities to check the correctness of the occupied place in the ranking of their organization and understanding of their real position among other universities.

Keywords: statistical analysis, multiple linear regression, ordinary least squares, approximation, rankings, indicators, higher education

This work is a description of the method of restoration of patterned woven fabric by means of computer technology. The problem of computer reconstruction of a historical object is rarely addressed in scientific publications. However, now the question of the feasibility of prototyping and modeling in the digital space is significant, because it is a computer model that allows you to give an accurate idea of the task, of problem situations, helps to warn about possible or already occurred errors.

Keywords: textiles, computer technology, raster editor, digital restoration, macro, processing, restoration, pattern, pattern, fabric

The object of research is the consideration and analysis of such a field as information retrieval. Given the rapid growth in the number of electronic documents, the tasks of their clustering, classification and ordering become very relevant. The work also indicates the need for creating formal methods for the semantics of texts and their processing. In addition, a software product was created that implements such a functional of semantic analysis as context and contextual bundle. The scientific novelty is to teach the machine to disclose the physical meaning in the documentation of a technical nature, to optimize the search for the necessary data

Keywords: semantics, contextual connective, reverse polish notation, clustering, context

The paper analyzes various planning approaches that are part of the QoS QoS assurance subsystem in LTE networks in situations of network traffic congestion. Using different strategies for different types of traffic allows operators to offer different levels of quality of service for voice users. Evaluations of the efficiency of packet transfer scheduling algorithms are given.

Keywords: LTE, Long-Term Evolution, scheduling algorithms, FIFO, Round Robin, Shortest Job First, Random Early Detection, RED, RR, SJF, QoS, VoIP, CSFB, VoLTE

The model of stream and network computer investigations including imitating and analytical models is presented in article. The essence of model consists in modeling of processes of identification of information flows of the protected mobile knot. Distinctive feature of this stage is imitation of search and identification of the information flow formed by the mobile communication center taking into account dynamic accidental switching between information flows, various time spent in this stream, and also accounting of a number of the parameters characterizing means of stream investigation. Further time of scanning of the network equipment, is estimated by means of network investigation. Output result of a simulation model is the probability of identification of the protected mobile communication center means of stream and network computer investigations. Considering need of possession of a number of specific skills of the environments of imitating modeling connected with use, and also essential time expenditure, results were approximated and analytical expression of required size is received. For assessment of quality of model are carried out verification of model; estimates of adequacy and stability of model, and also estimates of an error and sensitivity. On the basis of comparison of results of modeling developed and the known models definitely that the reliability of results of modeling increased by 12-15%.

Keywords: stream and network computer models, simulation model, knot of computer network

A simulation and experimental study of the ring-shaped power divider in the frequency range 2-4 GHz. The simulation was carried out in the application package Microwave Office. The experiment was conducted on a model made on the sheet textolite PT-3 with a thickness of 2 mm. Four frequency dependencies of the transmission coefficient S21 and S31 are given as simulation and experiment results.

Keywords: power divider, symmetrical strip line, transfer factor, design description, modeling, experiment

Fractal geometry is used in the development of new designs based on the principles of fractal shaping and the study of generations of fractal structures. The structure generation is characterized by optimization of the original geometry in the process of iteration. Fractal structures of older generations have the best indicators of reliability. The aim of the study is to develop an algorithm for modeling new designs based on the principles of fractal shaping. The development of fractal structures requires the creation of new technologies and materials.

Keywords: fractal structure, generations, fractal geometry, shaping, self-developing structures, unique structures, 3D modeling

The generalized approach of statistical processing of results of fatigue tests of samples on the basis of a choice of numerical characteristics of parameter of static durability, processing of results of fatigue tests with use of methods of mathematical statistics, construction of a fatigue curve according to the linear regression analysis of mechanical characteristics of materials of designs and machines, definition of parameters of function of distribution of a limit of endurance by results of processing of diagrams of step change of loading is offered.

Keywords: Static strength, cyclic strength, reliability, mechanical properties of materials, endurance limit, mathematical statistics, linear regression analysis, method of step change of load, test planning

Features of functioning of the enterprises of car service at increase in seasonal demand for THAT and repair of motor vehicles are considered. For the analysis of their activity in the conditions of limited resources and a random flow of applications (requirements) the device of system of Queuing is applied

Keywords: Enterprise car service, the flow of requirements probability, criteria, costs, efficiency

The article deals with mathematical modeling of thin-film materials production, based on the solution of multi-criteria optimization problems by convolution criteria. The method of estimation of coefficients in linear convolution is presented. The mathematical model developed by the authors allows to calculate the maximum profit of the enterprise from the production of thin-film materials, taking into account the cost of their production.

Keywords: thin film, substrate, production, mathematical modeling, multi-criteria optimization, convolution of criteria

The article deals with the processes of separation of thin films of oil liquids on the basis of rotary-belt type devices. The analysis of interaction of liquids and working body is made. The model of formation of oil films and their separation is described. the Studies create prerequisites for the development of engineering methods for calculating the design and operating parameters of the rotor-belt device for the formation of emulsion films and cleaning water surfaces from oil films, which is of great environmental importance.

Keywords: emulsion, film, apparatus, oil stain, viscosity, water surface cleaning

Mathematic modeling of the state of a thin round disk being heat and force affected is performed. In the central part of the disk the homogeneous field of temperatures is formed. Within the deformation theory of a perfect elasto-plastic solid the quadratic plasticity condition is chosen. The relationships between the radius of the disk, the temperature of the central part of the disk and the external pressure which defines the appearance of plastic zones have been established. For different values of external parameters of the model the stress vector hodograph and the plots of stresses and equivalent stresses have been introduced.

Keywords: mathematic modeling, an elastic-plastic solid, the plane-stress state, the deformation theory, thermo-elasto-plasticity, a high-speed rotating disk

The article presents the non-linear method of analytical information vibration signal processing. This method allows to select spectral components of small amplitude stress concentrators on the backgroud noise. The method is based on digital filtering and demodulation of original vibration signal through its non-linear conversion. Application of smoothing the Hamming window allows to reduce the transition band nonrecursive digital filter and exclude from the sample of information parasitic components. The proposed non-linear analytical information vibration signal processing method lets to select spectral components of surface cracks and sinks most responsible elements of the rotor system and explore its dynamic sustainability.

Keywords: non-linear transformation of analytical information vibration signal, discrete Fourier transform, Hamming window, stress concentrators, dynamic sustainability of rotor system