Proceedings of the 3rd International Scientific Conference of Students and Young Scientists "Theoretical and Applied Aspects of Cybernetics" TAAC-2013

Contents

About the conference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
About Victor Glushkov . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Section One: Computer Science . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
I. Aslanishvili, G. Modebadze
Three RD models for two-hop relay Routing with Limited Packets Lifetime in Ad Hoc Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Ya. I. Klimiankou
M-M/S-CD Memory Management for Second Generation Microkernels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
I. O. Likhatskyi
Relational-Object Mapping Technique . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
A. Petrenko, D. Topor, V. Mosiychuk
System of Synchronous Remote Collecting and Processing Geological Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
D. O. Progonov, S. M. Kushch
Evaluation of the Effectiveness of Applying the Image Quality Metrics for Acquisition the Steganograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
O. B. Synetskyi
Evolutional Stability in Mixed Strategies in TCP Network Game . . . . 43
D. O. Terletskyi
Finitely-Generated Algebras and Constructors of Multisets of Objects . . . 48
R. L. Varzar, O. Ya. Anopriienko
Postbinary Supersensory Computer: Information Storage and Computing in View of the Measurement Accuracy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
D. V. Voloshyn
Modeling Time-Series of Stock Price by Stochastic Context-Free Grammars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

Section Two: Applied Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
I. Bondar, B. Faleichik
Iterated Runge-Kutta Methods with Parallelization Capability for Stiff Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
Ye. G.Butsan
The Overview of Estimation of a Payment Type of Bank’s Credit Risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
I. M. Chornei
Influenza Epidemic Forecasting Based on Weather Environment Using Multiple Linear Regression and GMDH Tools . . . . . . . . . . . . . . . . . . . . . . . 89
I. V. Grebennikova
The Control of Dynamic System With Delay Under Quadratic Constraints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
V. O. Kapustian, I. O. Pyshnograiev
Zero Component of a Distributed Optimal Control for Parabolic-Hyperbolic Equations with Quadratic Criteria . . . . . . . . . . . 101
O. V. Khailenko, M. A. Slepicheva, V. S. Dobriak
Event Modeling of the Detonation Process of the Carbon Dust . . . . . 108
K. O. Korkhov
Comparative Analysis of Stable States of Static and Dynamic Model IS-LM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114
Yu. Yu. Korol
Stability of Solutions of Differential-Algebraic Systems with Impulse Impact . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
I. B. Kotsiuba
Calculation of European Call Option Under Uncertainty . . . . . . . . . . . 126
R. P. Krasniuk
Mathematical Modeling Optimal Using Resources in Grid-Systems . . . . 130
B. Kumalakov, A. Shomanov, Ye. Dadykina, S. Ikhsanov, B. Tulepbergenov
Solving Dirichlet Problem for Poisson’s Equation Using MapReduce Hadoop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136
A. V. Lelechenko
Linear Programming Over Exponent Pairs . . . . . . . . . . . . . . . . . . . . . . . . . 143
V. L. Makarov, D. V. Dragunov, D. V. Bohdan
Exponentially Convergent Numerical-Analytical Method for Solving Eigenvalue Problems for Singular Differential Operators . . . . . . . . . . . . 151
O. M. Makaseiev
The Maps of Dynamical Regimes of Non-ideal Pendulum Systems in the Presence of Delay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158
T. Ya. Mashtalir
Fluctuations of Return of Securities on the Stock Market of Ukraine . . . . . 164
J. Mockus, J. Stasionis
Calculus Pareto-Lipschitzian Optimization Solution for Parallel Computing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
D. V. Mykoliuk
Discontinuous Cycles in Impulsive System . . . . . . . . . . . . . . . . . . . . . . . . . 173
Ya. Oliinyk
Application of Particle Swarm Optimization to Discrete Problems . . 181
Yu. Perestiuk
On Discontinuous Cycles in One Impulsive System . . . . . . . . . . . . . . . . . 187
O. V. Polosmak
Rate of Uniform Convergence for Battle-Lemarie Wavelets Expansions of Gaussian Random Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193
D. Teneng
Risk Processes with NIG Premiums and Gamma Claims . . . . . . . . . . . 201
N. D. Vaysfel’d, Z. Yu. Zhuravlova
The Plain Problem of Elasticity for the Fixed Semistrip . . . . . . . . . . . . 207
A. G. Zabuga
Specificity of Numerical Integration of Second-Order Differential Equations for Systems with Coulomb Friction by Runge-Kutta Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215

Section Three: Artificial Intelligence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227
O. S. Danylevskyi
Synthesis of Ukrainian Language Based on Segments Concatenation . . . . . . 228
S. Gajawada
PhD: The Human Optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235
G. Gol, N. F. Bayraktar, E. Kiyak
Determination of the Vehicles Density with Qudrocopter . . . . . . . . . . . 240
L. Sroba, R. Ravas
Impact of Subpixel Paradigm on Determination of 3D Position from 2D Image Pair . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249

Section Four: Software Engineering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259
Abdullah A H Alzahrani, Amnon Eden
UML Versus LePUS3 for Modelling Structure of Security Patterns . . . . . . . . 260
S. Angelov, I. Zheliazkova
An Instructor’s Tool for Generating Individual Test-Like Exercises for Patterns Recognition with Systems of Linear Decision Functions . . . 270
O. Hordiichuk
Tailcast – A Distributed Multicast System with Low End-User Delays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 279
J. K ˇ roustek
Decompilation of VLIW Executable Files: Caveats and Pitfalls . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287
N. Litvinenko
Parallel Algorithms for Problems of Cluster Analysis with Very Large Amount of Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297
R. V. Lysogor
The Application of Information Technologies to Build Business Process of Personal Lending . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303
S. Nedelchev, I. Zheliazkova
A Technology for Generation of Individual Test-Like Exercises for Modeling with Graphs – the Teacher’s Side . . . . . . . . . . . . . . . . . . . . . . . . 309
S. Todorov, I. Zheliazkova
A Technology for Generation of Individual Test-Like Exercises for Teaching 3D Geometry – the Instructor’s Tool . . . . . . . . . . . . . . . . . . . . . 317
Conference organizers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 324
Sponsors and partners of the conference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327
Author index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 330