Mathematical Machines and Systems. 2017 #4



UDC 620.9.004.18

Energy Saving LED Lighting Systems / А.O. Morozov, V.P. Kymenko, V.B. Korbut, M.G. Ievlev, V.G. Butko // Mathematical Machines and Systems. – 2017. – N 4. – P. 3 – 29.

The article is devoted to the analysis of energy saving LED lighting systems. The LEDs are considered as a source of light, the principle of their operation and design. The main characteristics of LEDs and methods of their measurement are given. The thermal calculation of the LED, circuits and power supplies of LED lighting devices, methods of calculating the illumination of objects are presented. The main results of the development and implementation of energy saving LED lighting systems, obtained by the Institute of Mathematical Machines and Systems of NAS of Ukraine for the last 7 years are regarded in the paper. Таbl.: 1. Figs.: 18. Refs.: 22 titles.

UDC 389.002.08

Ground-based optical, optical-electronic and laser-television means of trajectory measurements / O.G. Dodonov, V.G. Putiatin // Mathematical Machines and Systems. – 2017. – N 4. – P. 30 – 56.

The description and individual characteristics of ground-based optical, optical-electronic, quantum-optical, laser-television means and systems of high-precision trajectory measurements used at scientific research proving grounds, cosmodromes and laboratory-test bases and dump areas earlier and at the present time are defined. Таbl.: 3. Refs.: 52 titles.


UDC 004.9:004.75

Modern approaches to building of corporate information systems / Yu.M. Lysetsky // Mathematical Machines and Systems. – 2017. – N 4. – P. 57 – 66.

The article considers existing approaches to building corporate information systems. The basic models of enterprise IT architecture as a complex production system are analyzed. There is demonstrated the relevance of universalization of approach to building corporate information systems and development of the model which is invariant to enterprise type. Figs.: 7. Refs.: 10 titles.

 UDC 004.9

Overview of the state and possibilities of IT implementation in the safety field /
V.V. Begun
// Mathematical Machines and Systems. – 2017. – N 4. – P. 67 – 77.

The analysis of the state of IT implementation in the safety management field of Ukraine is carried out. As a result of the analysis the current level of implementation is identified as not corresponding to the modern possibilities of IT. The short description of the Safety Management IT is given. The main conclusions are pointed out as: the transition to the next (higher) level of IT implementation in this field is possible with safety paradigm change; using the branch of industries principle is the simplest way to implement the IT in Safety Management. Табл.: 1. Figs.: 7. Refs.: 24 titles.

UDC 519.712.3

Evaluation of food security of the region within the framework of the FAO UN cooperation program using the fuzzy inference method / E.T. Aliyev // Mathematical Machines and Systems. – 2017. – N 4. – P. 78 – 97.

It is proposed an approach for assessing the level of food security for the regions within the framework of the FAO Partnership Program. It is used a mechanism of fuzzy inference to assess the influence on food security in the regions that form the basis for the Strategic Targets approved in the FAO Strategic Framework Program for 2014 2017. Tabl.: 4. Fig.: 1. Refs.: 5 titles.

UDC 004.5

Games as a form of an interactive information system / O.B. Vovk, R.T. Gasko,
R.O. Goloschuk
// Mathematical Machines and Systems. – 2017. – N 4. – P. 98 – 103.

                         SIMULATION AND MANAGEMENT

UDC 53.01:53.05+519.2

Measurement of physical quantities in violation of the statistical stability of the average / I.I. Gorban // Mathematical Machines and Systems. – 2017. – N 4. – P. 104 – 111.

A new technique for measurement of physical quantities at large observation intervals in violation of the statistical stability of the average is proposed. Obvious advantages of the new technique are shown by way of a certain example. Figs.: 5. Refs.: 22 titles.

UDC 621.771:

Mathematical models in automated control systems of drafting schedules on rolling stands / M.G. Ievlev // Mathematical Machines and Systems. – 2017. – N 4. – P. 112 – 119.

The main approaches to the construction of mathematical models for automated control systems of process procedure of rolling stands were regarded. There were given mathematical models of energy-force parameters that were applied in the automated control systems of drafting schedules on domestic rolling stands. These models provided the necessary accuracy of the geometric sheet sizes realization under automatic control. Tabl.: 1. Refs.: 7 titles.

UDC 551.508.85 (551.576 +551.577)

Radar detection of navigational objects along the vessel's path through the polarization parameters of an electromagnetic wave / V.G. Putyatin, S.Yu. Gudenko, S.I. Zaichko,
D.V. Korban, O.I.
Knyaz //
Mathematical Machines and Systems. – 2017. – N 4. – P. 120 – 128.

The article considers the radio physical model of the reflective properties of the object navigation and meteorological formations, allowing navigation radar detection of an object in the presence of airborne moisture targets on the polarization differences of the reflected signals from a navigation object and meteorological formations. It is given a functional scheme of the radar layout that implements the process of radar recognition by separating from a received signal of an electromagnetic wave of circular polarization reflected from the navigation object and the electromagnetic wave of elliptic polarization of the reflected from meteorological object. Radar signals reflected from navigation and meteorological objects parameterized with a valid energy of the Stokes parameters, which allowed simplifying the processing system. The presented radar model and functional scheme of the radar allowed fully taking into account the influence of environmental factors on the process of radar detection of navigational objects. Fig.: 1. Refs.: 5 titles.


Two-criteria combinatorial model of optimization of telecommunication networks /
.S. Pichugina, L.M. Kolechkina // Mathematical Machines and Systems. – 2017. – N 4. – P. 129 – 144. 

A mathematical model of application problem of determining a speed and a quality of the information transmission through telecommunication networks is presented in the form of a multiobjective Euclidean combinatorial optimization problem. It is a two-objective quadratic constrained model over a compositional image of the general set of permutation and the Boolean set. Approaches to the problem solution such as the branch and bound method, cutting method, graph methods such as the directed structuring and the polyhedral-surface methods are suggested. The convex extensions method is applied to the transformation of the model into the convex Euclidean combinatorial optimization problem. Thus the applicability of polyhedral-spherical optimization methods to solving the problem is demonstraited. Refs.: 25 titles.


Mathematical model and method for solving the generalized Neumann problem of heat exchange of an isotropic rotation body, which rotates / M.G. Berdnyk // Mathematical Machines and Systems. – 2017. – N 4. – P. 145 – 150. 

It was developed a mathematical model of temperature distributions in an isotropic rotation body is developed with a known equation of the generating line, which is bounded by two ends and a lateral surface of revolution which rotates at a constant angular velocity around the OZ axis, taking into account the finite velocity of heat propagation, in the form of the Neumann boundary value problem of mathematical physics for the hyperbolic heat conduction equation. A new integral transformation is developed with the help of which the temperature field of the body is found in the form of convergent orthogonal series with respect to the Fourier functions. Figs.: 2. Refs.: 5 titles.

UDC 004.94

The language of block simulation modeling on the base of modified diagrams of UML activity / V.V. Lytvynov, A.O. Zadorozhny, I.V. Bogdan // Mathematical Machines and Systems. – 2017. – N 4. – P. 151 – 159.

New language of block simulation modeling which allows including blocks obtained with a help of using inductive simulation both functions and automata transducers into the general scheme of the simulation are discussed in the paper. The proposed simulation language allows combining in the single model inductive and deductive approaches to creating simulation models. Two fold architecture of the proposed language allows separating the management level from data transformation level and it cannot be obtained with using aggregate approach. Figs.: 15. Refs.: 3 titles.


UDC 621.3.019.3

On the question of reliability of an unrestorable system with a quasi-bridge structure of elements / O.V. Fedukhіn, N.V. Cespedes Garcia, Ar.A. Mukha // Mathematical Machines and Systems. – 2017. – N 4. – P. 160 – 168. 

The article is devoted to the estimation of the reliability of a quasi-bridge structure by the method of analytical calculation based on the classical theorems of probability theory. A comparative evaluation of the received results with the results of statistical modeling and analytical calculation by the probabilistic-physical method is given. Таbl.: 6. Figs.: 3. Refs.: 7 titles.

                                       DISCUSSION NEWS 

UDC 681.3

Will intelligent robots destroy the human race? / V.O. Yaschenko // Mathematical Machines and Systems. – 2017. – N 4. – P. 169 – 179.

The article deals with the question of possibility of human race destruction by intelligent robots. The possibility of remote introduction into the unconscious state of intelligent robots is shown, the electronic brain of which will be created on the basis of neural-like growing networks. Just as the human brain, studying itself, cannot understand how it functions. And the electronic brain of the robot will face with the difficulties of knowing itself. While its creator – a person, knowing his device, will be able to control his actions and, if necessary, introduce into a passive state. Figs.: 13. Refs.: 16 titles. 





       Last modified: Dec 27, 2017