Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
45
10
2013
On Convolution Calculation for Exponential Distributions
1-4
10.1615/JAutomatInfScien.v45.i10.10
Nikolay Yu.
Kuznetsov
V.M. Glushkov Institute of Cybernetics
National Academy of Sciences of Ukraine
Kiev, Ukraine
Alla A.
Shumskaya
Institute of Physics and Technology of National Technical University of Ukraine "Kiev Polytechnical Institute"
recurrent algorithm
exponentially distributed random values
calculation of distribution of sums
coincidence of parameters of certain random values
We propose recurrent algorithm for calculation of distribution of sum of exponentially distributed random values. Algorithm can be used both for differently distributed random values and for coincidence of parameters of certain random values.
Modeling of Retrial Queueing System GI/G/m/0/ /1/G by the Monte Carlo Method
5-13
10.1615/JAutomatInfScien.v45.i10.20
Olga N.
Dyshlyuk
National Aviation University, Kiev, Ukraine
Elena V.
Koba
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Svetlana V.
Pustova
National Aviation University, Kiev, Ukraine
multichannel retrial queueing system
recurrent input flow
orbit of single capacity
distribution functions
intervals between moments of calls arrival
service and sojourn times of retrials
algorithm of statistical modeling
estimate
Multichannel retrial queueing system GI/G/m/0/ /1/G (with recurrent input flow and orbit of single capacity) is under consideration. Distribution functions of intervals between moments of calls arrival to system, service and sojourn times of retrials have general form. We suggest algorithm of statistical modeling of such system in order to estimate stationary probability of calls loss. Numerical and graphical results are given.
Content Formalization of Man Operations with Temporal Structure of Events in Environment
14-20
10.1615/JAutomatInfScien.v45.i10.30
Valentin A.
Chernomorets
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kiev, Ukraine
Vladimir M.
Belov
International Research and Training Center of Information Technologies and Systems National Academy of Sciences of Ukraine Ministry of Education and Science of Ukraine Kiev, Ukraine
physical time intervals
biological time
temporal structure of events
temporal characteristics
topology of temporal structure
The problem of searching for general approaches to the formalized description of man operations with the temporal characteristics of the events in the environment is discussed. Consideration is given to the peculiarities of these operations implementation under the control of a human mind and using software facilities.
Synthesis of the Controller on the Basis of Imbedding Technology to Control the Growing Large-size Single Crystals
21-27
10.1615/JAutomatInfScien.v45.i10.40
Victor S.
Suzdal
Institute for Scintillation Materials of National Academy of Sciences of Ukraine, Kharkov
Yuriy S.
Kozmin
Institute for Scintillation Materials of National Academy of Sciences of Ukraine, Kharkov
Alexander V.
Sobolev
Institute for Scintillation Materials of National Academy of Sciences of Ukraine, Kharkov
Igor I.
Tawrovskiy
Institute for Scintillation Materials of National Academy of Sciences of Ukraine, Kharkov
large-size single crystals growing control
controller synthesis
imbedding technology
irregular laws control
particular solution choice
To control the growing large-size single crystals on the basis of the imbedding systems, the problem of linear control by the forced component is solved. It is proposed, while the synthesis of the controller, to carry out the choice of a particular solution on the basis of minimizing a certain specially defined "distance" from the image model of a closed loop system to the result of synthesis âˆ’ a closed loop system with the synthesized controller.
Investigation of Consistency of Estimates of Parameters of the Gibbs Distribution Obtained by the Least Square Method
28-35
10.1615/JAutomatInfScien.v45.i10.50
Alexander S.
Samosonok
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
conditions of strong consistency
least square estimate
Markovian sequences
Gibbs distribution
approximation of criterion function
empiric estimate
practical application
stochastic processes modeling
Conditions of strong consistency of least square estimate for Markovian sequences with the Gibbs distribution were considered. We stated and proved theorems, which make it possible to approximate criterion function of Markovian process with unique point of maximum by its empiric estimate. In spite of their theoretical character the obtained results have sufficiently wide sphere of practical application on stochastic processes modeling.
Assigning Tolerances by Method of Smoothed Vertices
36-48
10.1615/JAutomatInfScien.v45.i10.60
Galina N.
Shilo
Zaporozhye National Technical University, Ukraine
tolerance design
scattering region
distribution law
statistical series
smoothed vertices
The procedure of shaping scattering regions is suggested if the distribution law of values of parameters of the elements is given in the form of statistical series. Approximation of distribution laws is used on the boundary sections of statistical series. The scattering region is represented as box-ellipsoid structure with the vertex ellipsoid hypersurfaces. The results of the tolerance design are compared for different distribution laws of parameters values of elements.
Convergence and Estimation of the Process of Computer Implementation of the Optimality Principle in Matrix Games with Apparent Play Horizon
49-56
10.1615/JAutomatInfScien.v45.i10.70
Vadim V.
Romanuke
Khmelnitskiy National University, Khmelnitskiy
optimality principle
procedure of practical implementation
matrix games
empty set of saddle points
pure strategy
finite number of plays
convergence
estimate of average win or loss of player
A procedure of practical implementation of the optimality principle in matrix games with empty set of saddle points in pure strategies, where finite number of plays is in advance known, is under consideration. Convergence of this procedure is proved, and estimate of average win or loss of player, participating in it, is shown.
Modeling the Economic Growth in a Transformation Period (on the Example of Ukraine)
57-74
10.1615/JAutomatInfScien.v45.i10.80
Arnold S.
Korkhin
National Mining University, Dnepropetrovsk
economic growth
modeling
transformation period
generalized Cobb-Douglas function
time-variable parameters regression
The dependence of the gross domestic product on scientific and technological progress, capital and labor in the form of the generalized Cobbâˆ’Douglas production function, is considered. The time-variable parameters of the production function and capital use coefficient estimation by statistical data are described.
Construction of Estimates of Solutions in the Model of Antitumor Immunity with Impulse Disturbances
75-82
10.1615/JAutomatInfScien.v45.i10.90
Vasiliy P.
Martsenyuk
Ternopol State I.Ya. Gorbachevskiy Medical University, Ukraine
O. A.
Bagriy-Zayats
I.Ya. Horbachevsky Ternopol State Medical University
model of antitumor immunity with impulse disturbances
population of proliferating cells
laser therapy treatment
optimal treatment schemes
A model of antitumor immunity with impulse disturbances on the population of proliferating cells is proposed. Asymptotic estimates of solutions of the equations are obtained. Estimates are built on the bases of impulse differential inequalities for functions of the Lyapunov type.