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

Proceedings of the 4th International Scientific Conference of Students and Young Scientists “Theoretical and Applied Aspects of Cybernetics” TAAC-2014, November 24-28, 2014, Kyiv, Ukraine. 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