Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
46
5
2014
Evaluation of the Reliability of Repairable (s–t) Networks by Fast Simulation Method
1-14
Nikolay Yu.
Kuznetsov
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
A network with unreliable edges is considered. All failed edges are repaired. Time distribution functions of failure free operation and edges repair are supposed to be of general type. A fast simulation method producing unbiased estimates of probability of network failure (interruption of connection between two given nodes s and t) in the given time interval is developed. It is proved that under some weak conditions an estimate has
a bounded relative error with the increasing reliability of edges. Numerical example illustrates the efficiency of the method proposed.
Dynamical Risk Model with Investment in Assets
15-34
Nikolay S.
Gonchar
N.N. Bogolyubov Institute of Theoretical Physics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Consideration is given to the general model of work of a firm which invests capital into assets of a financial market. For an individual case there is obtained the probability assessment of bank bankruptcy in the case of random receipts of deposits on bank accounts and favorable investment of a capital into risk and risk free assets. The original bank capital is found under which a bank can function sufficiently long with sufficiently small probability of bankruptcy of insurance company.
Economy Modeling with Formation of Agricultural Land Market. Part I
35-44
Vasiliy S.
Grygorkiv
Yuriy Fedkovych Chernovtsy National University
Svyatoslav V.
Ishchenko
Yuriy Fedkovych Chernovtsy National University
Mariya V.
Grygorkiv
Yuriy Fedkovych Chernovtsy National University
Economy model based on the formation of agricultural land market in the space of parameters of the economic structure of the society, the areas of land major groups of landowners, the price of aggregate production of the agricultural and industrial sectors, agricultural machinery and land is presented. The model is intended for simulation study of processes related to land market and making appropriate economic decisions.
A Strongly Convergent Splitting Method for Systems of Operator Inclusions with Monotone Operators
45-56
Vladimir V.
Semenov
Kiev National Taras Shevchenko University, Kiev
A new algorithm for solving a system of operator inclusions with monotone operators, acting in a Hilbert space, is proposed. The algorithm is based on two well-known methods: the Tseng splitting algorithm and version of the Halpern algorithm for approximating fixed points of a finite set of nonexpansive operators. The theorem on the strong convergence of the sequences, generated by the algorithm, is proved.
Prediction of Deformation Solitary Waves Trajectories in Anisotropic Elastic Solids
57-67
Andrey Ya.
Bomba
Rovno State Humanitarian University
Yuriy V.
Turbal
National University of Water Industry and Nature Management, Rovno
Partial solutions of motion equations for anisotropic elastic solids in the form of self-reinforcing deforming disturbances localized in some small area are considered. Trajectories of corresponding waves motion in the field
of variable density are investigated. The approach to trajectories prediction (the parameters identification) based on solving the exponential moment problem is proposed.
The Information Model of Multilevel System of Conveyorized Programs Execution
68-80
Kirill V.
Krotov
Sevastopol National Technical University
The task formulation of data processing schedules by conveyorized programs and basic concepts of processing is presented. There is formed the information model of multilevel system of the conveyorized program execution as the totality of sets of parameters that characterize the system resources applied under data processing implementation and the tasks of conveyorized processing that are solved by the system. There is introduced the notation for the types of input data being processed, input data to the system, restrictions for sets of tasks solved in the system, types of criteria applied by the system for determining the efficient solutions in the set of feasible solutions.