*Mathematical Machines and Systems. 2016 #3*

*ABSTRACTS*

### COMPUTER SYSTEMS

**UDC 004.02:007**

Quality testing at assessment of professional competencies in web learning management system **/ **Ye.V. Nikitenko, O.V. Trunova **//** Mathematical Machines and Systems. – 2016. – N 3. – P. 3 – 14.

The article offers ways to improve the quality of testing in the assessment of professional competence in Learning Management System, including the reviewed system architecture and algorithm of its work. The proposed module of checking the criterion validity tests based on the analysis of indicators of asymmetry, kurtosis and discrimination index, set of these characteristics indicates on the validation methods that can increase the quality of testing. Designed module of providing and assessment of tests based on fuzzy sets allows you assessing accurately at the testing and thus* *pursue integrated account both of quantitative and qualitative factors. Тabl.: 3. Figs.: 6. Refs.: 5 titles.

**INFORMATION AND TELECOMMUNICATION TECHNOLOGY**

**UDC 004.75**

Modeling of Cloud Surveillance System / Ie.I. Diatlov // Mathematical Machines and Systems. – 2016. – N 3. – P. 15 – 20.

The article is devoted to the Cloud Surveillance. The author describes global distributed structure of surveillance system and its main components. The article highlights the main points concerning the processing of video and distributed data storage model. The paper describes main abilities to spread the load among equivalent system services. The author underlines the importance of database replications and backup. This article describes the basic service delivery models of data centers and their positioning relative to the cloud video surveillance applications. Figs.: 5. Refs.: 6 titles.

**UDC**** 004.55**

Modern platforms of hashtag analysis / K.D. Alekseeva, K.D. Alekseev // Mathematical Machines and Systems. – 2016. – N 3. – P. 21 – 29.

The paper is concerned with modern platforms creating for hashtag analysis. Hashtags are the words or phrases in microblogs in social media. Hashtags allows messages to become popular and highlight some topics without any effort. The comparisons of known platforms with Ukrainian Hashtago service were given. Таbl.: 1. Figs.: 10. Refs.: 7 titles.

UDC **623.764**

Distributed cooperative robotics under spatial grasp paradigm / P.S. Sapaty** // **Mathematical Machines and Systems. – 2016. – N 3. – P. 30 – 40.

The paper describes organization of large distributed robotized systems with the help of high level networking ideology and technology allowing for integral, holistic solutions of complex problems in rapidly changing and unpredictable environments. Exemplary scenarios in Spatial Grasp Language for practical tasks oriented on the use of multiple cooperative robotic units operating under unified control provided by the technology are also exhibited and discussed. Figs.: 7. Refs.: 40 titles.

**UDC 004.9**

Improvement of the method of upconverting synthesis of elements in the information technology of multilevel mobile robot monitoring / O.V. Kharchenko, S.V. Golub,

I.A. Zhiryakova // Mathematical Machines and Systems. – 2016. – N 3. – P. 41 – 47.

The problems of synthesis of elements in multilevel monitoring system are regarded. We present methods of array of input data processing and multilevel monitoring system processing. The improved method of upconverting synthesis of elements in multilevel mobile robot monitoring system is described. Таbl.: 2. Figs.: 3. Refs.: 8 titles.

**SIMULATION AND MANAGEMENT**

**UDC 536.24**

Mathematical modeling of heat transfer of piecewise homogeneous rotating cylinder / M.G. Berdnyk // Mathematical Machines and Systems. – 2016. – N 3. – P. 48 – 54.

Temperature field of piecewise homogeneous circular cylinder in the direction of the polar radius, rotating at a constant angular velocity about the axis OZ, taking into account the finite speed of propagation of heat in the form of convergent orthogonal series of Bessel functions and of Fourier with the help of the newly developed integral transformation was found in the article. Refs.: 12 titles.

**UDC 519****.237.8:519.233.5**

Regression analysis under factor space inhomogenuity / S.M. Lapach, S.G. Radchenko // Mathematical Machines and Systems. – 2016. – N 3. – P. 55 – 63.

The application of cluster analysis for selection of homogeneous subfields of the factor space under the building of regression models is investigated. The use of fuzzy cluster analysis was outlined. The computational experiment has shown that it is necessary to make semantic analysis of the results and tests of the different options of partitioning on clusters to obtain the correct solution. Simulation analysis of bolted connection of composite materials in aircraft construction was done. The charts of distribution of experiments in 4 clusters were given. Recommendations for formalization of processes of selection of methods and tools in order to separate into homogeneous subfields of the factor space with an a priori unknown form and number of clusters. Таbl.: 5. Figs.: 2. Refs.: 7 titles.

**UDC ****519.257 **

Modeling of volatile time series using fuzzy analysis of historical data / R.R. Rzaev,

T.Z. Mekhtiev // Mathematical Machines and Systems. – 2016. – N 3. – P. 64 – 78.

It is proposed an alternative approach to modeling of volatile time series based on fuzzy analysis of the position-binary components of historical data. Specific innovations in the proposed model are the new rules for the fuzzification of historical data and defuzzification of fuzzy predicts. Along with the traditional statistical indicators, it was formulated and applied a new criterion for assessing the adequacy of models based on the use of the Hamming metric. Таbl.: 16. Figs.: 8. Refs.: 14 titles.

**UDC ****631.3:528.8:681.518**

Dynamic model of quality management of implementation of technological operations using the technical operational monitoring systems in crop growing / O.O. Brovarets // Mathematical Machines and Systems. – 2016. – N 3. – P. 79 – 84.

It was offered dynamic model of quality management of implementation of technological operations using the technical operational monitoring systems in crop growing for providing the guided agrobiological state of agricultural lands using forecasting and compensative technology of the differentiated introduction of technological material. Refs.: 14 titles.

**UDC 004.5**

Computer modeling of organizational management systems / O.H. Dodonov // Mathematical Machines and Systems. – 2016. – N 3. – P. 85 – 92.

The problems of modeling of organizational management systems, creation of computer modeling systems for the development and implementation of automated systems of organizational management were regarded. The examples of operating automated systems of organizational management developed by the experts of the Institute for Information Recording of NAS of Ukraine. Fig.: 1. Refs.: 3 titles.

**QUALITY, RELIABILITY AND CERTIFICATION OF COMPUTER TECHNIQUE AND SOFTWARE**

**UDC 681.32.019.3**

The security proof of computer systems / O.V. Fedukhin, Ar.A Mukha, N.V. Cespedes Garcia // Mathematical Machines and Systems. – 2016. – N 3. – P. 93 – 101.

The article is devoted to the security questions of computer systems of critical applications. The methods of functional safety proof were considered, the necessary concepts and definitions are given. Refs.: 17 titles.

**UDC 629.735.05.017 (076.5)**

Statistical evaluation of the accuracy of quantiles method with the information support of avionics operation / V.M. Gribov, P.V. Strelnikov // Mathematical Machines and Systems. – 2016. – N 3. – P. 102 – 109.

Accuracy of quantiles method is investigated with the empirical analysis of reliability (MTTF) on individual refusals of avionics components. It is offered the complex technique evaluation of accuracy of quantiles method using the probabilistic and physical model and imitation modeling in Mathcad process of refusals occurrence. Tabl.: 1. Figs.: 4. Refs.: 8 titles.

** NEW PROJECTS**

**UDC 53.01:53.05 + 519.2**

Phenomenon of statistical stability and the model of its description / I.I. Gorban // Mathematical Machines and Systems. – 2016. – N 3. – P. 110 – 118.

It is presented a new monograph dedicated to study of the physical phenomenon of statistical stability as well as the comparing of two theories that describe it: the probability theory and the theory of hyper-random phenomena. The book is oriented on scientists, engineers, and post-graduate students researching in statistical laws of natural physical phenomena as well as developing and using statistical methods for high-precision measuring, prediction and signal processing on long observation intervals. The book may also be useful for university students majoring in physical, engineering, and mathematical fields. Refs.: 15 titles.

** DISCUSSION NEWS**

**UDC 539.186.2, 539.2**

Dynamic physics of force fields and micro-objects / O.D. Bekh, A.O. Morozov,

D.M. Kobzar, V.P. Klymenko, V.M. Grinchuk, Yu.G. Korovitsky // Mathematical Machines and Systems. – 2016. – N 3. – P. 119 – 146

To describe the radiant energy in the form of magnetic, gravity, electromagnetic force fields and energetic particles of atoms there were created dynamic digital models based on universal power element in the form of discrete magnetic mass. The analysis and synthesis of a hierarchical system of motion and force interaction of energetic particles in atoms was done. The anatomy of physical fields of micro-objects was disclosed. Dynamic discrete models were used for study of energy efficiency of electrically operated elementary magnetic machines. Figs.: 14. Refs.: 11 titles.

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