### COMPUTER SYSTEMS

**UDC 519.8**

Partial case of the problem of recognition of complet noncanonic beforefractal / Bobileva O.V. // Mathematical Machines and Systems. – 2005. – N 2. – P.3 – 14.

In the paper the properties of noncanonical prefractal graphs with substitution of the vertexes according to identified principle are discussed.The algorithm of recordinition of prefractal graphs with one and k substitutable vertexes are built. The problem HAMILTON CYCLE is solved for noncanonical prefractal graph, gene- rated by complete n-vertexes priming and for canonical prefractal graph, generated by n-vertex star. Figs.: 7. Refs.: 3 titles.

**UDC 621.394.5**

Analysis of effectiveness of the data transition systems with multiposition FSK in impulse noise / Antonov V.V., Klimchuk V.P., Pauk S.M., Potapov V.G. // Mathematical Machines and Systems. – 2005. – N 2. – P. 15 – 24.

Effectivenes of multiposition FSK using analysis for data transmission system (DTS) with impulse noises is analysed. The methodic of analysis of researching DTS with decisive backlink was proposed. Analytic models, which permits to esti mate multiposition FSK using in the dependence on the parameters and conditions of DTS work were received. Figs.: 5. Refs.: 9 titles.

**UDC 621.8:681.5**

The method of finding the location of distant connections in neural associative networks with Small-World architecture / Dekhtyarenko O.K. // Mathematical Machines and Systems. – 2005. – N. 2. – P. 25 – 32.

It is known that sparse associative neural network with a small-world architecture offers better associative recall quality than the neural network with the same amount of regularly located connections. Meanwhile the small-world architecture preserves such attractive features of regular topology as local connectivity and small total connection length. In this paper we propose the modified approach for the construction of small-world architecture, which takes into account some peculiarities of the neural associative memories thus providing the further improvement of its properties. Figs.: 2. Refs.: 13 titles.

**UDC 621.8:681.5**

Neural calibration of binocular system with essential distortion / Kireev O.S. // Mathematical Machines and Systems. – 2005. – N 2. – P. 33 – 44.

Neural networks applicability to the task of essentially distorted stereopair calibration is demonstrated. Neurocalibration robustness to the noise in calibration data is justified. Analytical calibration methods are compared with different neurocalibration ones, which differ in number of hidden layers, activation function, preprocessor usage and number of neural modules. Optimal neural networks architectures for the task of neurocalibration are obtained. Practical recommendations for binocular systems calibration procedure are formulated. Original software complex in Matlab language is developed for synthetic data generation and calibration results processing. Tabl.: 4. Figs.: 7. Refs.: 6 titles.

**UDC 618.3**

The language of graphs processing on the base of JAVA / Krukovskiy M.Ju. // Mathematical Machines and Systems. – 2005. – N 2. – P. 45 – 53.

This paper describes a language for definition of workflow processes. The graph model was used as a base for the language. The language was used for creation of the system of designing and execution of processes of docflow. Refs.: 10 titles.

**UDK 621.8:681.5**

About the properties of cycles in modular neural networks / Kussul M.E., Galinskaya A.O. // Mathematical Machines and Systems. –2005. – N 2. – P. 54 – 62.

Modular neural networks are widely used to solve applied problems because of their flexibility and huge potential abilities. As a result, development of modeling aids for modular neural networks become very important. Networks that contain cycles are of particular interest. But for the networks with cycles there is the necessity to have tools for formal analysis, which allow to define the sequence of run of modules in the networks. The article is devoted to theoretical investigations of features of cycles in modular networks that are represented with directed graphs. Figs.: 2. Refs.: 5 titles.

**UDC 517.5:518.5:519.7**

Metrics and norms in hierarchy of categorial semanticses and functions / Tesler G.S. // Mathematical Machines and Systems. – 2005. – N 2. – P. 63 – 75.

In the paper the meanings of metrises and norms in the hierarchy of the categoriсal semanticses and functions are discussed. These notions are discussed more detaily in mathematics, including the theory of approximation of functions, theory of probality and so on. For practical approximations using these notions in the theory of graphs generally and for trees in particular is the adequate approach. In the paper only first steps in the decision of this important for theory and practice problem are being done. Fig.: 1. Refs.: 16 titles.

### LARGE SYSTEM SIMULATION AND MANAGEMENT

**UDC 621.396.6.019.3**

Formalized model of technical maintenance system of aircraft radio electronic equipment / Tkalich O.P. // Mathematical Machines and Systems. – 2005. – N 2. – P. 76 – 88.

The semi-Markovian model of technical maintenance system for radio electronic equipment is worked out. The general equation is given for the criterion of the best system. The mathematical model permits to research and design the technical maintenance system with given characteristics. Figs.: 4. Refs.: 5 titles.

**UDC 519.862**

An optimization model in the state of economic balance / Alekseyev A.A. // Mathematical Machines and Systems. – 2005. – N 2. – Р. 89 – 95.

This article deals with the question of developing complete models of functioning of an economic system with determination of optimum prices, labor inputs, production volumes, export-import, and taxation. These parameters are determined from systems of balance equations of demand and supply in labor and commodity markets products taking into account kinds of production functions and utility functions. Refs.: 2 titles.

**UDC 681.51:57**

Reference estimations of accuracy of the aggregated parameters in multilevel information systems / Maistrenko S.Ya. // Mathematical Machines and Systems. – 2005. – N 2. – P. 96 – 103.

The model is constructed and the dependences determining an expected declination of aggregated (summarized) quantitative parameters are received the part of which is deformed by mistakes, from their real meaning. The received relations and estimations can be useful in systems of support of making decisions oriented on various problem areas (armed forces, economy, sociology etc.). Tabl.: 4. Figs.: 3. Refs.: 4 titles.

**UDC 683.5**

The automation of an estimation of parameters of quality of meat production / Zayicev V.G.// Mathematical Machines and Systems. – 2005. – N 2. – P. 104 – 109.

In the paper the questions of automation of an estimation of parameters of quality of meat production are considered. The test programs of definition of some parameters are submitted. The necessity of development of the automated monitoring system of sausage production is proved. Figs.: 5. Refs.: 6 titles.

**UDC 681.51**

Cluster algorithms of space images pre-processing / Nguyen Thanh Phuong // Mathematical Machines and Systems. – 2005. – N 2. – P. 110 – 121.

In article cluster algorithms of space images pre-processing are proposed. Problem of parallel calculations during space images filtration is considered, and the choice of the most effective method of image segmentation and distribution of tasks between processors of high-performance computers are substantiated.The efficiency of algorithms was demonstrated during the experiments that were run on cluster of Glushkov Institute of Cybernetics of NASU. Figs.: 11. Refs.: 14 titles.

**UDC 681.51**

Mathematical modelling of users’ behaviour in computer systems / Skakun S.V. // Mathematical Machines and Systems. – 2005. – N 2. – P. С.122 – 129.

In article a mathematical modelling users’ behaviour in computer systems was carried out. The dynamic of user behaviour was investigated. Statistical modelling data that characterize user’s work during his session was done. Figs.: 6. Refs.: 5 titles.

**UDC 629.735.05.083:621.3(07) **

The mathematical models for technical maintenance strategy of modern avionics / Machalin I.О. // Mathematical Machines and Systems. – 2005. – N 2. – P. 130 – 139.

A detailed analysis of the breakdown maintenance strategy (BMS) of modern avionics products is presented. Three different variants of the BMS implementation are considered. The mathematical equations are given for modeling each BMS variant. A criterion of optimizing the number of spare parts is offered. The mathematical models are built on the base of using Markovien discrete processes.Some considerations for choosing the best BMS variant are finally outlined. Tabl.: 3. Refs.: 3 titles.

**UDC 681.3.00:007**

Intellectualization of the information systems: oriented to formation of the knowledge principles of analysis of «information rollings» / Morozov A.O., Vyun V.I., Kuzmenko H.E. // Mathematical Machines and Systems. –2005. – N 2. – P. 140 – 146.

In the paper one of the aspects of Intellectualization connected with ability of the system to analyze the past activity in the reпimes of the interactivity “user-system” to define causes and tendencies of the development of the potential threats of the vital activity, to develop offers on partial or full reorganization (reengineering). Information support of these processes is provided by independent (on profile activity) operations and procedures of forming “history of activity” in the form of Data Storage (DS) of information rollings. On the bases of the analysis DS the possible schemes of the inductive conclusion, forming new functional dependences between parameters-indices are proposed as necessary stage of preparing and planning of reengineering. Tabl.: 2. Fig.: 1. Refs.: 8 titles.

**UDC 004.89**

Modeling biophysical reaction in intelligent systems/ Zolkin S.G. // Mathematical Machines and Systems. –2005. – N 2. – P. 147 – 154.

The development of models of activation and interaction of systems of processing sensory information is described on the basis of researching bioelectrical activity of cerebral cortex. The regressive polynomials, reflecting statistical modeling reactions of the brain of the man on external irritants. These regressive polynomials may be used when forecasting formation of associative connections in cerebral cortex of the man. Tabl.: 3. Fig.: 1. Refs.: 2 titles.

**UDC 532.668**

Data assimilation of meteorological measurements in decision support systems / Kovalets I.V. // Mathematical Machines and Systems. – 2005. – N 2. – P. 155 – 167.

The procedure for the assimilation of the meteorological measurements in the making decision support systems (DSS), dealing with the atmospheric dispersion of the pollutions is described. The results of calculations are сompared with the measurement data in the field experiments. The effectiveness of the developed algorithms and their applicability for the use in the real-time DSSs are shown. Further developments are discussed. Tabl.: 2. Figs.: 5.: Refs. 15 titles.

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

**UDC 681.3.019.3**

The analysis of methods of calculation of reliability of systems / Strelnikov V.P., Barzic O.V., Panteleeva O.C. // Mathematical Machines and Systems. – 2005. – N 2. – P. 168 – 173.

Methods of calculation of reliability of reserve systems such as “ from ” are considered. Using results of modelling of functioning the specified systems before occurrence of refusal, the comparative analysis of settlement and experimental estimations of parameters of reliability is performed. The most adequate method of calculation of reliability of the specified systems is revealed. Tabl.: 1. Fig.: 1. Refs.: 5 titles.

**UDC 002:658.516+658.562**

About certification of systems quality management / Strelnikov P.V. // Mathematical Machines and Systems. – 2005. – N 2. – P. 174 – 178.

The basic stimulus for creation of quality management systems at the enterprises are created. Some advantages of standards of series ISO 9000–2000 for creation of the quality management systems at enterprises are show. The influence of certification of systems of quality management on a rating of the enterprise is discussed. Refs.: 4 titles.