### COMPUTER SYSTEMS

**UDC 680.3**

The World Processing and Control Technology / Peter S. Sapaty // Mathematical Machines and Systems. – 2004. – N 3. – P.3 – 16.

A new computational and control model of parallel and distributed nature has been developed. It comprises self-evolving, space-conquering automaton, high-level system navigation and coordination language, describing system problems in a spatial pattern-matching mode, and related distributed control mechanisms for management of physical, virtual, and combined worlds. The model allows us to obtain complex spatial solutions in a compact, integral, and seamless way. It can be effectively used for the creation, integration, simulation, processing, management and control of a variety of dynamic and open systems – from physical to biological, and from artificial to natural. Figs.:17. Refs.: 19 titles.

**UDC 621.8:681.5**

Coding of contours described with Bezier curves for neural classification tasks / Kussul M.E. // Mathematical Machines and Systems. – 2004. – N 3. – P.17-30.

The article is devoted to describe method and algorithms of coding the contours represented with Bezier curves for neural network pattern recognition. Because a contour description can consist arbitrary number and sequence of the curves, neural networks utilization requires extra coding. For the coding there are used histograms based on parametric notion of curves in the contour. There are proposed limitations on Bezier curves that allow significantly reduce the length of obtained codes. Efficiency of developed method is shown with example of classification of plane figures. Figs.: 6. Refs.: 4 titles.

**UDC 518.5**

Computing probability integral function and reverse / Tesler G.S., Zy Khuk Zung // Mathematical Machines and Systems. – 2004. – N 3. – P.31-40.

In the article therehase been proposed the algorithms for effective calculating probabilities integral function and the reverse bit founded on decomposing these functions in row of closure errors on polynomials Erpith. For calculating probabilities integral quantiles there has been received the functions decomposing in row of closure errors on the basis of converting the probabilities integral functions uhat requires considerably lesser expenses than Jailor’s decomposing in raw/ On the basis of this decomposing there have been received the iterative formulae of cowergency arbitrary arrangement. Special attention has been spared to initial estimates on the basis of segment approximation? To the problems of tabulating the functions and computing mutually-inverse functions. Shere have been represented the materials of modelling the proposed algorithms on a computer. Tabl.: 3. Figs.: 4. Refs.: 26 titles.

### PROGRAMME-TECHNICAL COMPLEXES

**UDC 519.6**

The reliability of solutions of the linear mahematical models with approximately given initial data / Khimich O.M., Voytsekhovskiy S.O., Brusnikin V.M. // Mathematical machines and systems. 2004. N 3, 4. P.41-47.

On the basis of a method of singular decomposition of the matrices and the propeties of corresponding projection matrices, there are obtained the new error estimates of the normal pseudosolution in the general case of the non-consistent systems of linear algebraic equations with perturbed coefficients. The cases of decreasing rank of the perturbed matrix, its saving and increasing are discussed. Refs.: 6 titles.

**UDC 519.862**

A Model of physical economy / Alekseyev A. A. // Mathematical Machines and Systems. – 2004. – N. 3. – P.48-56.

A model that is described by a system of integro-differencial equations is oriented toward the investigation of the actual “physical” state of an economy at the macrolevel. The factors of ecolology, raw material exhaustion, and environment protection are considered. Important component parts of the model are blocks of currency support of the economy and protection of home producer. Refs.: 6 titles.

**UDK 681.327.12**

About one approach to analysis and synthesis of detectors of real time – multi-level schemes of decision marking / Zuev S.О., Gasanov A.S. // Mathematical Machines and Systems. – 2004. – N 3. – P.57-74.

The approach to analysis and synthesis of the optimal multil-level schemes of decision making with reference to systems is considered, the frame of which (or algorithm of operation) is representable by the way of sink tree. The offered approach allows evaluating quality of operation of a system of recognition at all stages of constructing - from starting algorithms to instrument realisation on personal digital computers or specialized automatic devices. It is exhibited, that non-optimum (from the point of view of power losses of a system on decision making) the schemes of reception of the unique solution have other useful property – insensibility to distribution signal/noise, that does convenient their microprocessor realization. The realization being offered methods and algorithms for a practically relevant problem - synthesis of the scheme of automatic monitor of “dead zone” warning driver about availability of the in visible means of transport on the adjacent band of unilateral motion is adduced. Figs.: 5. Refs.: 37 titles.

**UDK 681.3:330.3:340.1**

Monitoring of principles of modeling economic balance and the commodity-money mechanism of functioning economy of Ukraine from positions of regional development / Morozov A.О., Kosolapov V.L., Superson S.I., Kovtun V.O., Kolosov V.E., Otrisko O.V., Petruk N.P. // Mathematical Machines and Systems. – 2004 . – N 3. – P.75 - 88.

Problems of public and economic development of Ukraine cause the necessity of studying mechanisms of their functioning, both in conditions of the modernity, and from positions of prospect. As a whole statement of a problem of perfection of mechanisms, both economic development, and sphere management assumes postulation of an opportunity of comparison of various variants of development, that is a finding of some criterion of optimality and opportunity of its choice at modeling economic balance and the commodity-money mechanism of functioning economy of Ukraine as on the whole, and from positions of regional development. In such statement the problems, which are belongs to the economic sciences, in the certain degree are identical to problems of the theory of optimum control of economy. Together with it practice puts problems of the further generalization and development of more consecutive representations about system of interrelations of national-wide and regional levels which would embrace all parties of public work, and also a complex of the problems connected to their realization. Taking into account an urgency of the put problems, in article principles of formalization of functioning systems from positions of optimum regulation of productions as of national-wide and so of regional levels of Ukraine are considered. Refs.: 5 titles.

**UDC 004.722.2/004.089**

Method of the services synthesis in tasks of computer telephony / Palagin О.V., Alishov N.I., Polinovskyi V.V., Ivaskiv Yu.L. // Mathematical Machines and System/ –2004. – № 3. – Р.89 -101.

The opportunity of computer telephony tasks formalization and synthesis of these services "in the air" is analyzed. The main task of these researches is creation of means and the technologies providing universal completeness of synthesized systems at different levels of designing. The method of the big systems decomposition is applied for this purpose to the general task of computer telephony services granting. The method of formal objects synthesis for creation of computer telephony services is offered by means of Petri’s network. Tabl.: 4. Figs.: 8. Refs.: 9 titles.

**UDC 680.3**

Cognitive visualization of base procedures of process of acceptance of the decision in a control system of active object / Koss V.A. // Mathematical Machines and Systems. – 2004. – N 3. – P.102 – 109.

In clause is considered the form of visualization of the information in systems of support of acceptance of the decisions such as " the center of management of situation " as a means of maintenance cognitive of perception given of monitoring by the personnel of a control system. Figs.: 8. Refs.: 5 titles.

**UDC 681.3**

Generalized evaluation of factors in cognitive modeling tasks / Taran T.A., Shemaev V.N. // Mathematical Machines and Systems. – 2004. – N 3. – P. 110 – 124.

Cognitive models as weighted oriented graphs for weak-structured situations are considered in the paper. The example of cognitive model for market situation is described. Methodics for generalized evaluation of factors consisting of various parameters based on qualitative, fuzzy and structured methods are suggested. Tabl.: 2. Figs.: 5. Refs.: 14 titles.

**UDC 681.3**

Information systems intellectualisation – mechanisms and tooling of interactive condition analysis / Vyun V.I. // Mathematical Machines and Systems. – 2004. – N 3. – P. 125 – 131.

In the article there has been considering the problems of expansing the practically-functional structure of the problem-oriented information systems with the technological means of the ternary DW & Olap & IAD (of the Data Warehouse & ON-line analytical processing & the Data Intellectual Analysis). Complecting to the information systems means traditional arsenal adds it the traits of the intelligent system to it thet is capable of foreseeing undesirable development of the events in the activity accumulated facts DW interactive analysis processes and of prohosing the forestalling fctions of self-organizing (reingeneering). Refs.: 15 titles.

**UDC 681.3**

Simulation of the information distributed processing in local area networks / Bychenko O.V., Levchuk V.D., Maximey I.V., Maslovich S.F., Smorodin V.S., Selickiy V.I., Potashenko A.M. // Mathematical Machines and Systems. – 2004. – N 3. – Р.132 – 143.

An actuality of project modeling of the information distributed processing in LAN is defined. The formalization of a calculating process and a working load to LAN on the base of the network planning method is given. A modified technology of the analysis of stochastic network schedule parameters on the base of a Monte–Carlo method is considered. The methodology of the simulation of the information distributed processing in LAN is stated. Tabl.: 1. Figs.: 5. Refs.: 13 titles.

**UDC 681.3**

System analysis of network’s technologies of creation of intellectual components for broadband primary communication network / Lastovchenko M.M., Rusetskiy V.E., Bilyak V.I. // Mathematical Machines and Systems. – 2004. – N 3. – P.144 – 155.

According the results of the system analysis the initial stage of broadband transport platforms creation for regional intellectual networks is defined. Two network technologies are analyzed: creation of the platform for the new generation Internet network and universal networks, realized with the help of base intellectual nodes. In summary a directional rating of technologies is gwen and the primary requirements for the consulting system of the developed system are defined. Tabl.: 1. Figs.: 6. Refs.: 21 titles.

**UDC 681.3**

Model of the anticipatory help in the interface of the user / Belous L.V., Litvinov V.A., Maistrenko S.Ya. // Mathematical Machines and Systems. – 2004. – N 3. – P.156 – 163.

One of methods "of small intellectualization" of the user interface – identification of a complete word on its part and anticipatory help to the user (or automatic restoration) is considered. It is constructed and investigated the model of the anticipatory help. The estimations of economy of the user’s labour expeditures are received using this method during data input. The influence of truncation of the entered word on resulting reliability of the data is investigated, the appropriate quantitative estimations are resulted. It is marked, that the received estimations may be useful and in other supplements, for example, for automatic definition of language of the text under the analysis of initial symbols of the entered word. Tabl.: 3. Fig.: 1. Refs.: 4 titles.

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

**UDC 621.192 (035)**

About methodical errors of forecasting a resource of highly reliable of electronic techniques products / Strelnikov V.P., Antipenko K.A. // Mathematical Machines and Systems. – 2004. – N 3. – P. 164 – 167.

Estimations of an average operating time to refusal (MTTF) of electronic techniques products are submitted on the basе of using of two-parametrical distributions. It is marked, that prognostic estimations MTTF on a basе exponential distributions are overestimated in 50–1500 times in comparison with similar estimations on the base of two-parametrical distributions. Tabl.: 2. Refs.: 2 titles.