Proceedings of the 4th International Scientific Conference of Students and Young Scientists "Theoretical and Applied Aspects of Cybernetics" TAAC-2014

Contents


About the conference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
About Victor Glushkov . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5
Program Committee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .6


Section One: Computer Science . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9

F. Nuriyeva, B. Tezel, E. Nasiboglu
A Mathematical Model And Solution Algorithm of the Bin Packing Problem with Group Constraints . . . . . . . . 10

A.V. Potebnia, S.D. Pogorilyy
Exploration of Data Coding Methods in Wireless Computer Networks . . . . . . . . . . . . . . . . . . . . . . .17

D.O. Progonov, S.M. Kushch
On the Multifractal Analysis of Steganograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .32

M.A. Semybalamut
Linear Complexity Profile in Random Sequences Quality Evaluation . . . . . . . . . . . . . . . . . . . . . . .39

O. Ugurlu, M.E. Berberler, U. Nuriyev
A New Genetic Approach For Maximum Independet Set Problem . . . . . . . . . . . . . . . . . . . . . . . . . . 43


Section Two: Applied Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .49

O.I. Bacherikov
On Shilov Boundary Ideal for Cuntz-Toeplitz C*-Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . .50

V.O. Bohaienko
Solving Impermeable Wall Placement Optimization Problem Using Multiagent Ant Colony Algorithm . . . . . . . . 55

O.V. Chystiakov
Scalable Parallel One-Step Iterative Algorithms for Hybrid Computers . . . . . . . . . . . . . . . . . . . . .63

O.B. Domina
Numerical Solution for Initial Boundary Value Problems in Vibroacoustics . . . . . . . . . . . . . . . . . . .70

V.S. Fedorova
Construction and Research of Difference Schemes for the Problem of Adsorption Kinetics . . . . . . . . . . . .77

A.V. Ivanov, B.M. Zhurakovskyi
Periodogram Estimator Properties of the Parameters of the Modulate almost Periodic Signal . . . . . . . . . . 87

A.V. Kinash, Ya.M. Chabaniuk, U.T. Khimka
The Fluctuations of Dissipativity Process with Markov Switching . . . . . . . . . . . . . . . . . . . . . . . 91

I.I. Korol, H.Ya. Semchyshyn
Existence of the Periodical Solutions of Singular Systems of Differential Equations in Critical Case . . . . .98

Yu.Yu. Korol
Bounded Solutions of Differential-Algebraic Systems with Degenerate Impulse Impact . . . . . . . . . . . . . 107

S. Kovalenko, O. Patsiuk
Symmetry Reduction and Exact Solutions of the Non-Linear Black-Scholes Equation . . . . . . . . . . . . . . .114

R.P. Krasniuk
The Numerical Method for Solving Two-Criterion Problem of Optimal Resource Allocation among Nodes GRID-System . 121

A. V. Lelechenko
The Quest for the Generalized Perfect Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129

N.V. Lishchuk
On The Complexity of Sensitivity Analysis of Boolean Programming Problems . . . . . . . . . . . . . . . . . .134

O.M. Malanchuk, S.A. Semenyuk, Ya.M. Chabanyuk
Asymptotic Behavior of the Bacteria’s Infection under the Influence of Random Perturbations . . . . . . . . .140

Yu.S. Melnychenko
Model of Information Confrontation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145

M.P. Moklyachuk, V.I. Ostapenko
Interpolation Problem for Harmonizable Stable Sequences . . . . . . . . . . . . . . . . . . . . . . . . . . .151

K.K. Moskvychova
Strong Consistency of the Correlogram Estimator of Covariance
Function of Random Noise in Nonlinear Regression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158

M. Naslidnyk
Shilov Boundary Ideal for Quantum Disk Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162

L.L. Nerush
Parametric Identification of the Model of HIV Infection . . . . . . . . . . . . . . . . . . . . . . . . . . .169

B.V. Norkin
Random Search of Multicriterion Optimum in Insurance . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176

I.I. Rakocha
The Definition and Mathematical Modeling of the Thermosensitive Condition of a Three-Component Thermosensitive Cylinder under Complex Heating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188

H.V. Rudakouskaya
Estimation of Parameters for AR(p)-Time Series Observed under Classification . . . . . . . . . . . . . . . . 199

A.Yu. Shvets, A.M. Makaseyev
Modeling of the Influence of Delay Factors on the Dynamics of Non-Ideal Pendulum System . . . . . . . . . . .207

S.V. Siryk
On Accuracy and Convergence of the Finite-Element Petrov-Galerkin Method for Numerical Solving the Stationary
Convection-Diffusion-Reaction Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215

V.A. Sydoruk
THybrid Algorithm for Solving Systems Based on the LL -Decomposition of Sparse Matrices . . . . . . . . . . .225

N.A. Tkachuk
Some Result on Reoptimization of 2-Objective Minimum Vertex Cover . . . . . . . . . . . . . . . . . . . . . .231

O.S. Yaroshko
On One Numerical Method for Solving a Nonlinear Inverse Eigenvalue Problem . . . . . . . . . . . . . . . . . 238

T.O. Yeromina
Continuous Solutions of the Systems of Linear Difference-Functional Equations . . . . . . . . . . . . . . . .245

I. Zelenska
Differential Turning Point for Singularly Perturbed Systems . . . . . . . . . . . . . . . . . . . . . . . . .251

V. Zubchenko, Yu. Mishura
European Call Option Issued on a Bond Governed by a Modified Geometric Ornstein-Uhlenbeck Process . . . . . .258


Section Three: Artificial Intelligence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263

V.V. Lytvyn, O.V. Oborska
Intelligent Agents Based on Adaptive Ontology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .264

V.V. Smielov
Nonnegative Tensor Factorization Usage to Find Semantic Distance Between Natural Language Texts . . . . . . .272

K.O. Stetsiuk
Gene Expression Programming (GEP) as a Means of Analysis of Information Flows . . . . . . . . . . . . . . . .277

H. Wang, N. Jazdi, P. Goehner
An Agent-Based Concept for Problem Management Systems to Enhance Reliability . . . . . . . . . . . . . . . . 283

O.Y. Mieshkov, O.O. Novikov
Development of Universal Program Complex for Human Condition Analysis, Based on the Analysis of Human Voice .294


Section Four: Software Engineering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307

O.V. Hordiichuk
A Clustering Approach for Building Reliable Peer-to-Peer Networks . . . . . . . . . . . . . . . . . . . . . .308

A. V. Pukhalevych
Confidence Interval Estimation of Regression Model of Embedded Software Project Duration Based on Johnson Transformation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 314

O.V. Shabeliuk
Development of Mobile Learning System Based on Augmented Reality . . . . . . . . . . . . . . . . . . . . . . 321


Conference organizers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .330
Sponsors and partners of the conference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .333
Author index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335