UDC 517.5:618.5:518.62 Balance approximation as the base of the modern information technologies / Tesler G.S. // Mathematical Machines and Systems. – 2005. – N 1. – P.3 – 12. In the paper the essence and meanings of balance approximation in the theory of approximation of functions and their role in modern information technologies are stated these approximations include theory of minimax approximations, spline approximation and so on. The distinction of the discussed approach is balancing the numbers of the links, approached accuracy of approximation, setting of the knots, type of the approximated expression, type of the kernels of error and also the coefficient of balancing. Balance approaching allows to decrease the complexity of computing, to increase their stability and effective using computers algebra as the base of the information technology. Refs.: 31 titles UDC 621.8:681.5 Neural stereopair calibration / Kireev O.S. // Mathematical Machines and Systems. – 2005. – N. 1. – P.13 – 25. The task of stereopair calibration using neural networks is considered. Different methods of neurocalibration are investigated which differ in number of hidden layers, number of neural modules, input data preprocessing, activation function and learning algorithm. Unified procedure for finding optimal number of hidden neurons is developed. Optimal number of neurons in hidden layers is determined for each of the neurocalibration methods according to this procedure. Neurocalibraion methods are compared with analytical ones on synthetic and real data. Practical recommendations for neurocalibration of stereopairs with low distorsion are formulated. Tabl.: 5. Figs.: 3. Refs.: 12 titles. UDC 621.8:681.5 Graphs of modular neural networks / Kussul M.E. // Mathematical Machines and Systems. – 2005. – N 1. – P.26 – 38. The article is devoted to theoretical problems of modular neural networks representation with directed graphs. There are given definitions of cycles and the classification of cycles by proposed graph representation. Characteristics of most practically interesting types of cycles are considered. The proposed representation is meant for general analysis of modular neural networks architectures and in the first place for the analysis with automatic systems. Figs.: 7. Refs.: 6 titles. UDC 519.76+681.3 Informational analysis of financial forecasting data provided by Random Subspace Classifier / Zhora D.V., Reznik О.M., Doroshenko A.Ju. // Mathematical Machines and Systems. – 2005. – N 1. – P.39 – 59. This article describes the technical forecasting procedure, which was conducted using the feedforward neural network classifier. In order to predict the price move for the next day two experiments were considered: the set of price increment values was divided on two and five categories correspondingly. The error rate and training speed dependencies on the number of input paramemers were investigated. The results, obtained in these experiments, were structured according to the actual price change. The probabilistic analysis allows to estimate the quantity of useful information provided by the classifier. Some joint distributions for input parameters and required class numbers were investigated. The small values of the obtained correlation coefficients show the complexity of the forecasting problem. Tabl.: 6. Figs.: 21. Refs.: 14 titles.
LARGE SYSTEM SIMULATION AND MANAGEMENT
UDC 004.518 Models of Decision Support Systems for enterprise manufacturing / Azarova A.A., Kazymyr V.V. // Mathematical Machines and Systems. – 2005. – N 1. – P.60 – 67. In the article it is considered the problem of building the decision support systems that are planned to use for enterprise management. The decision task particulars are analyzed, and requirements to DSS are formulated. Stratified schema of DSS model building is suggested that allows to simplify decision process. As an example of using the suggested approach it is considered the model of enterprise crediting DSS. Figs.: 3. Refs.: 8 titles. UDC 141.12, 65.012.12 Modeling of the activity of organization: from ontology to technology / Malyshev O.V. // Mathematical Machines and Systems. – 2005. – N. 1. – P.68 – 78. The «process approach» to creation in organizations of modern quality management systems, necessity of following to which is declared by the International standards ISO series 9000, is identified as the approach to modeling of activity of organization. The analysis of the reasons of its unsufficient efficiency, observable in practice, is carried out on the basis of consideration of ontology and information aspects of activity. As the result there is conclusion that the increase of the process approach efficiency can be reached by means of 1) distinguishing of knowledge about a simulated kind of activity and information about the processes of its realization and 2) 2) use of perspective modeling technology based on application of metamodels for representation of knowledge oriented toward individual kinds of activity. Refs.: 6 titles. UDC 681.51:57 Imitation modeling of the process to automatic identification and correction of standard error of user on dictionary / Maistrenko S.Ya. // Mathematical Machines and Systems. – 2005. – N 1. – P.79 – 83. The imitation model (IM) of the process to automatic identification and correction (AIC) of standard error of user on dictionary are built. The analysis factor, influencing upon efficiency of the software implementation of the methods AIC are organized. Two schemes IM: with shaping the dictionary in ambience AIC and DBMS ORACLE are investigated. Quantitative estimations to efficiency algorithm are received. Practical recommendations about software implementation of the method are given. Tabl.: 3. Figs.: 2. Refs.: 3 titles. UDC 519.24+658.562 General model of evolution / Riznik O.M. // Mathematical Machines and Systems.–2005. – N 1. – P.84 – 98. Model of evolution is proposed that considers the existence of a deterministic system in environment as relaxation process, which corresponds to the markov model of stochastically dynamic system. Accumulation of the infinitesimal operator values is realized as encapsulation and replication of genotype, formation of macrosystem and inner informational system. This model describes the evolution from appearance of living cell, nervous system, and intellect to arising of civilization, material and spiritual culture. Refs.: 13 titles. UDC 681.3:330.3:340.1 Monitoring of the development of Ukraine in the light of modelling its regional development from the positions of optimum / Morozov A.O., Kosolapov V.L., Superson S.I., Otrisko O.V., Petruk N.P. // Mathematical Machines and Systems. 2005. N 1. P.99 – 119. The problem of modern social and economical development of Ukraine is connected with satisfication of the community needs as in production so in mental sphere. In the paper the process of production is considered from such positions.Factual level, level of production with critical limit, theoreticaly allowable and rational level of production Improvement of processes of economical system development and their control are presented as successive “intensification of optimization”, connected with more effective processing of the economical information. The analysis of regional economical structure is maken with the help of the system of interdepndent economical-mathematical models. There are considered the principles of formalization and functioning the system of optical regulation of industry processes as state so regional levels of Ukraine. Fig.: 1. Tabl.: 4. Refs.: 5 titles. UDC 681.3 Graph model of composite turnover / Krukovskiy M.Yu. // Mathematical Machines and Systems. – 2005. – N 1. – P.120 – 136. This paper describes approach to creation models of composite workflow which is based on theory of graphs. Determination methods of sets for developed model are given it is proposed workflow algebra based on graph theory. Deliverables of this paper can be used for future development of workflow theory and practice and for creation on its base of software. Tabl.: 3. Fig.: 1. Refs.: 12 titles. UDC 519.63:621.372 About solving spectral problems with the singularity on the boundary / Gladky A.V., Brusnikin A.V. // Mathematical Machines and Systems. -2005. -N 1. - Р.137 – 147. The method for the numerical solving of the own problems for Laplace operator in two dimensional domains with singularity on the boundary is considered. The difference with the singularity of the analytical kind is obtained and the numerical-analytical method of sewing discrete problem with using summarized considerations is proposed. Figs.:4. Refs.: 10 titles. UDC 681. 324. 658 The offered method of dynamic distribution of flows between ports of the device of batch switching, which allows to increase a safe load of the network equipment / Konachovich G.F., Verbitskiy I.V. // Mathematical Machines and Systems. – 2005. – N 1. – P.148 – 160. The offered method of dynamic redistribution of flows between ports of the device of batch switching, which allows to increase a safe load of the network equipment without essential deterioration of quality of the given network services. The method is based on current spline-interpolation in real time of dynamic characteristics of a pulsation of traffic on ports of the batch switchboard and on adaptive auto regulation of passbands of ports of the switchboard depending on the characteristics of a pulsation of traffic. The chosen way polynominal spline - interpolation allows to receive necessary accuracy of approximation of real pulsations of traffic. For reduction of volume processable given during interpolation it is offered to use known methods of underpressure of experimental data. The given examples of rules of auto regulation by passbands of ports of the switchboard, which realize the considered method. Fig.: 1. Refs.: 11 titles. UDC 621.394.762.1 About optimization of construction of crosspoint switch / Tymofijeva N.К. // Mathematical Machines and Systems. – 2005. – N 1. – Р.161 –169. An approach of optimization of construction of crosspoint switch, in which their decrease of quantity of switching element, placing on its surface made up at the expense of multilayer its realization, is proposed. A coefficients of reduction of crosspoint switch, with taking into account theirs an optimal variant of its construction is nonblocking, are defined. A new type of crosspoint switch is constructed. It is volumetric. Refs.: 17 titles. UDC 683.5 Automatization of examining meat and milk production / Zayicev V.G.// Mathematical Machines and Systems. – 2004. – N 4. – P.170 – 177. In the paper the modern state of manufacture and quality of examining sausage production is submitted. Some methods and ways of infringement of process of manufacture of sausage production are considered. The reasons of significant decrease of quality of meat and milk of production are analyzed in comparison with the previous decade. The necessity of development of the automated monitoring system of sausage production is substantiated. Refs.:5 titles.
