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No. 3. Vol. 24. 2018

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V. I. Levin, Dr of Tech Sci, Professor, Penza State Technological University

Interval Equations in Problems of Research of Uncertain Systems

In the modeling of technical, economic, social systems, it is often necessary to solve equations with interval-specific parameters (interval equations). The solution of such equations requires special methods that differ from the methods for solving ordinary, deterministic equations. A new method for solving interval equations based on the apparatus of interval mathematics is proposed. The aim of the work is the development of a completely formalized method for solving interval equations based on the mathematical apparatus mentioned. The method proposed in the article consists in using equivalent transformations of both parts of the interval equation according to the laws of interval mathematics that allow one to move from the interval equation to the ordinary deterministic equations and their subsequent solution by known methods. It is shown that the solution of various interval equations can be performed by two different methods: multiple and interval. The differences between these two methods in the concept of solving the equation, in the mathematical apparatus used, in the possibility of an exact solution, in the power of the resulting set of solutions are revealed. An example of a solution of the interval equation used in the calculation of the zone of contamination by a dangerous substance is given by two methods. The paper proposes a new approach to solving interval equations based on an equivalent transformation of the equation according to the laws of interval mathematics. Such a transformation allows us to bring the equation to a deterministic form, which makes it possible to solve it by well-known methods for solving ordinary (deterministic) equations. The proposed approach allows us to find the exact solution of the interval equation (if it exists) or its approximate solution (if there is no exact solution).
Keywords: interval, interval function, interval equation, multiple method, interval method

P. 147–153 

I. V. Germashev, Professor, e-mail:, Volgograd State University, V. E. Derbisher, Professor, e-mail:, E. V. Derbisher, Associate Professor, e-mail:, Volgograd State Technical University, E. A. Markushevskaya, Associate Professor, e-mail:, Volgograd State Social Pedagogical University

The Fuzzy Data Analysis for the Chemical-Technological Systems Optimization

The data analysis method in a fuzzy, incomplete, heterogeneous information source for chemical-technological systems optimization is proposed. The research results develop chemical engineer scientific and production activities information systems mathematical software in terms of modeling linguistic resources and can be used for informed decision making for example by optimizing the composite substances content. Fuzzy numbers formalize the primary data and this resulted in a parametric space that describes the multicomponent systems. The compliance index calculation to demanded requirements for the each system parameter allows moving to the relative dimensionless physical values. The weighted voting procedure was used as an aggregate function. The resulting value reflects a compliance integrated measure to demanded requirements for the chemical-technological system. Based on the proposed approach obtained operator formalizes the primary data, which allow to realize the fuzzification in automatic mode. A few examples illustrate the operator application to solve practical problems in the polymer compositions field. The choosing the best polymer composition problem and also the polymer compositions classification problem in terms of quality were solved. This operator is the basis of the information systems mathematical support. The data flows scheme for such systems is proposed. These systems can be used for organization of engineers and researchers automated working places. The use of experts is only necessary at the initial stage, the formation of data models. Further data analysis is carried out automatically.
Keywords: data analysis, data model, operator, fuzzy number, multi-criteria analysis, identification, classification, chemical-technological systems, mathematical software, information system

P. 153–160

H. H. Asadov, Professor, e-mail:, Sh. N. Jahidzadeh, Doctorant, National Aerospace Agency, Baku, Azerbaijan, M. I. Kerimova, Dissertant, Azerbaijan State University of Oil and Industry, Baku, Azerbaijan

Method of Discrete Variation Optimization of Remote Sensing Systems

The modern computer methods of optimization (genetic methods, method of neuron networks, method of fuzzy nets, multi-agents method, etc) requires development or presence of relevant software and not acceptable for utilization in some non-standard cases demanding operative rational or optimum continuation of previously accepted decision. Such type of tasks in some cases can be solved using multi-criteria or multi-level methods of optimization. But these methods are laborious and don't allow to take an operative decisions in non-standard situations. In the article the necessity for development of new methods for optimization of remote sensing systems is shown. It is stressed out that feature of such systems is that presence of significant effect of environment on sensing and reflected signal in the channel of its transfer. The suggested method of discrete-variation optimization of information systems is described. The mathematical grounding of the method is given. The realization algorithm of suggested method is developed.
Keywords: remote sensing, optimization, environment, information criteria, functional

P. 160–164

V. A. Antonenko, Researcher, e-mail:, R. L. Smeliansky, Professor, e-mail:, A. A. Ermilov, Developer, e-mail:, A. R. Romanov, Student, e-mail:, N. M. Pinaeva, Student, e-mail:, A. V. Plakunov, Developer, e-mail:, Lomonosov Moscow State University

C2: Cloud Platform with NFV Life-cycle Management

The paper presents C2 Platform that covers both the telecommunication and enterprise cloud cases. The C2 architecture incorporates as the network service orchestration as service life-cycle management. C2 implementation follows ETSI NFV MANO standard and uses TOSCA to describe network functions. The paper provides the experiment's methodology and experimental measurements of the platform efficiency, function scaling and healing overheads.
Keywords: SDN, NVF, Telco, Cloud


S. V. Maltseva, Professor, e-mail:, D. V. Dumsky, Assistant Professor, e-mail:, M. M. Komarov, Assistant Professor, e-mail:, National Research University Higher School of Economics, Moscow, 101000, Russia

The Market Research of New gTLD

The basic aim of this paper was to analyze and make a forecast for any changes on the market of top-level domain names by the results of the program implementation for introducing new domains (new gTLD) by ICANN. New domain names registration statistics is presented in this paper for the end of 2016. New criteria were proposed to describe changes and real usage of new domain names. We also studied users knowledge about information resources located within new domain names. Positive and negative aspects of implementation of new gTLD are presented in this paper.
Keywords: domain names, new gTLD, ICANN

P. 173–181

D. A. Pechnikov, Associate Professor, e-mail:, Naval Academy named after Admiral of the Fleet of the Soviet Union N. G. Kuznetsova, St. Petersburg, Russia 197045, St. Petersburg

Model Ensure Efficiency of Process Criteria-Oriented Testing

The article considers models of criterially-oriented estimation in computer testing systems that provide the transition from point estimates of the empirical frequency of successful execution of test tasks to interval estimates of the probability of this success, allowing to determine the errors and confidence intervals of the estimates obtained.
Keywords: criterion-based test, a test task, the test results, point estimate, interval estimate, confidence interval, the given error

P. 182–189

T. V. Timofeeva, Senior Lecturer, e-mail:, M. A. Nesterenko, Senior Lecturer,, Academy of Engineering RUDN University, Moscow, Russia

Parametrization of Curves in AutoCad by the Example of Cassini's Ovals

A new approach to the integrated study of descriptive geometry and computer graphics in a higher educational institution on the basis of in-depth study of some topics is proposed. The technique is demonstrated in a practical example devoted to the consideration of the possibility of quick creation and investigation of the properties of Cassini ovals on the basis of creating a parametric block using the analytical formula in the system of automated design AutoCAD Autodesk. In the process of investigation, the features of fourth-order curves are analyzed as a result of the intersection of the torus by planes parallel to the axis of rotation of the torus, the dependence of the shape of the curves on the ratio of the parameters. 3D-models of torus surfaces and their sections corresponding to the conditions for constructing curves are constructed. The method of reconstructing the metric of tori along the contours of the obtained sections in the form of Cassini ovals is considered.
Keywords: curve of degree 4, Cassini ovals, lemniscate of Bernoulli, section of the torus, focal points, AutoCAD Autodesk, parametrization, parametric block, geometric relationships, dimensional relationships, descriptive geometry, computer graphics

P. 189–193

I. P. Karpova, Associate Professor,, National Research University Higher School of Economics, Moscow, Russia, National Research Center "Kurchatov Institute", Moscow, Russia

Distributed Data Storage and Processing for Mobile Robotic Groups

This paper discusses a problem of distributed data processing in mobile robot's group. The robot's group is typified as a static swarm. Static swarm is a model, which is characterized by the absence of a control ๑enter and is represented by the network with fixed topology at some time interval which consists of locally interacting agents. The main features that distinguish the robot's group general database from the classic distributed database are described. It is shown that the database does not require the global data dictionary storing information about the location of the database fragments. The data structure on each node is the same and can be described in the reference table. This table is loaded into robot's memory when robot is initialized and, in fact, is the data dictionary. This database does not require distributed transactions, because data is written in the general database locally. The approach of logical queries organization in general database is offered. Definitions of imprecise and inconsistent data conformably to data which robots in the group are exchanging with are given. The approach of processing imprecise and inconsistent data which come to robot is proposed. This approach is based on elements of multisets theory, fuzzy sets theory and on evaluation of data reliability degree. The reliability degree is based on the experience of the previous data exchanges between robots. An important feature of the proposed method of imprecise and inconsistent data processing is that it is computationally simple and does not require much memory to store auxiliary information.
Keywords: group robotics, static swarm, database, processing of imprecise and inconsistent data

P. 194–201

D. N. Kobzarenko, D.Sc., Head of laboratory,, A. M. Kamilova, Leading Specialist,, N. Sh. Gazanova, Leading Specialist,, Federal State Budgetary Institution of Science "Institute for Geothermal Research of Dagestan Scientific Center of Russian Academy of Sciences", Makhachkala, Russia, A. M. Dadashev, Chief,, Dagestan Center of Environment Hydrometeorology and Monitoring — Branch of Federal State Budgetary Institution "Northern-Caucasus Control for Environment Hydrometeorology and Monitoring ", Makhachkala, Russia

Application of Continuous Wavelet-Transformation in the Study of Time Series of Wind Monitoring on the Example of Dagestan

The paper considers the results of time-frequency analysis of time series — wind speeds with the help of information technologies and wavelet transform by the Morlet wavelet.
The idea of spatial and temporal analysis of wind monitoring data is to show the presence or absence of patterns in time series — wind speeds and wind directions. At the same time, the analysis is performed both in space (comparing wind monitoring data for one time period) and in time (several years).
To perform the analysis, reliable data of wind monitoring, carried out in Dagestan by meteorological stations, were obtained. The data cover the time period of 2011—2015 and received from meteorological stations: "Akhty", "Derbent", "Makhachkala" and "Kochubei". Based on the initial data, four time series for each meteorological station have been prepared. Each time series covers two calendar years (2011—2012, 2012—2013, 2013—2014, 2014—2015). Data are represented by a frequency of 8 measurements per day.
Spatial analysis of the obtained wavelet transform patterns showed that the periods on a large scale that correspond to cyclical manifestations of increasing (or decreasing) wind activity is mainly present in the winter and spring times. More rarely, large-scale periods exist in the autumn time (mainly in late autumn).
The time analysis of the obtained wavelet transforms showed the following: 1) in the southern mountainous Dagestan area (the area of the settlement Akhty), the absence of periodic variability of wind speed in the autumn and summer times is strongly pronounced; 2) on the territory of southern coastal Dagestan (the district of the settlement Derbent) variability of wind speed on medium and large scale is observed practically during the whole calendar season; 3) on the territory of the central seaside Dagestan (the district of the settlement of Makhachkala) there are pronounced periodicity on medium and large scale in the autumn, winter and spring times; 4) in the territory of the northern plain Dagestan (the district of the settlement Kochubey) during the season there can be a relative calm with no fluctuations on medium and large scale, but the brightest manifestation of large-scale periodicity begins in November or later and can last 2—4 months, and in one of the seasons the manifestation of large-scale period is observed in May—June.
Keywords: wind speed, wind energy, wavelet transform, frequency-time analysis

P. 201–208

S. I. Savin, PhD, Associate Professor, e-mail:, L. Yu. Vorochaeva, PhD, Associate Professor, e-mail:, A. V. Malchikov, PhD, Associate Professor, e-mail:, A. V. Vorochaev, Postgraduate Student, e-mail:, Southwest State University, Kursk

An Approach to Step Sequence Generation Problem for an In-Pipe Robot with Six Legs Designed to Move in Spatially-Curved Pipes, Based on Unwrapping of the Pipe

The paper discusses the step sequence generation algorithm for a in-pipe walking robot moving in spatially curved pipes with circular cross section. The robot consists of a body and six legs, each of which includes two links connected to each other and to the body via an actuated pin joint. The legs are connected to the body in the following way: four legs are installed on the sides of the robot (two legs for each side), and the remaining two are installed on the bottom of the robot's body. There are two leg triplets (formed by one leg from each side of the robot), the frontal triplet and the backside triplet. When the legs are stretched out each triplet assumes a T shape.
The proposed in the paper step sequence generation algorithm determines the positions of the points on the inner surface of the pipe where the contact elements on the end of each of the robot's legs come in contact with it. The algorithm consists of three parts. First, an unwrapping of the pipe takes place, converting the pipe into a two-dimensional height map (a scalar function of two variables). Then, suing the height map the algorithm generates a sequence of steps on it. The last step is wrapping the height map back into the pipe, effectively mapping the generated step sequence back onto the inner surface of the original pipe. We assume that the inverse kinematics algorithm can then generate a sequence of robot's poses that would allow the robot to take all these steps.
The algorithm is based on a particular geometric description of the pipe, that describes its centerline and diameter as scalar functions of one variable. This variable has an interpretation as a distance that the robot travels through the pipe to arrive at the current cross section. The main advantage of the algorithm is that it uses simple numerical operations and it does not produce excessive computational load, which means it can be successfully implemented on an on-board computer of the in-pipe robot, even if that computer has very moderate computational capabilities.
Keywords: in-pipe robot, generation of gaits, spatial-curved tube, height map, unfolding and folding of pipe
P. 209–216

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