No. 6, 2010
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    No. 6, 2010

    Mathematical Problems of Control

    Zadorozhnyi V.N. Stochastic Graphs and Nonlinear Preferential Attachment Rule (pp. 2-11)

    Astract. Exact degree distribution formula for stochastic preferential attachment graph is derived. Calibration method of generation of such graph with the given distribution degree is proposed. The problem of calibration of the network distribution degree using real data is discussed.

    Keywords: stochastic graphs, large network structure, simulation.

    Control in Social and Economic Systems

    Astract. The first part of the paper presents the new approach to developing of intelligent control systems of complex organizational structures. Existing problems, in particular, those connected with the huge dimension of systems, complexity of problems solved and uncertainty in the choice of effective operating parameters are studied. Effective methods for solution of such problems by example of the control system for vertically integrated organizational structure are offered.

    Keywords: intelligent control systems, management of organizational structures, mathematical and software support for complex control systems.

    Ougolnitsky G.A., Usov A.B. Control of Sustainable Development of Hierarchical Systems in Conditions of Corruption (pp. 19-26)

    Astract. The mathematical formalization of the corruption phenomena in three-level control systems is given. The consideration is based on the example of water quality control systems. In this model the possibility of punishment (by a fine) of both participants of corruption relations for bribing is provided. The solution is constructed by the method of simulation. Typical examples are given. The reasons of corruption in layered control system and conditions of its elimination are determined. 

    Keywords: corruption, hierarchical games, simulation, environmental-economic systems, sustainable development

    Ehlakov Y.P., Efimov А.А. Functional Models of Service Rendering By Firm-Intermediary in the Software Market (pp. 27-32)

    Astract. Problems of firm-intermediary activity for applied software promotion in the corporate sales market are considered. The set of services is defined and the basic processes of firm-intermediary activity are described. The software positioning process in the market is considered in detail: users groups forming target audience are allocated; possible types of consumer behaviour and consumer preferences are defined; the approach to choosing positioning strategy depending on target audience characteristics is offered.

    Keywords: functional model, intermediary services, software market, strategy positioning, target audience, advancement, promotion, consumer behaviour, consumer preferences.

    Ivanov D.Yu. The Applied Model of Incentive System (by the Example of the Enterprise of Special Mechanical Engineering) (pp. 33-37)

    Astract. The approach to economic-mathematical modeling of incentive systems for the workers of special mechanical engineering enterprises is considered. The incentive system under conditions of intensification of manufacture is developed. The area of coordination of economic interests of management and executors is estimated. The synthesis algorithm for incentive system is offered.

    Keywords: incentive system, interests coordination, synthesis algorithm, economic-mathematical model.

    Control of Complex Technological Processes and Productions

    Ermolaev A.I., Akhmetzyanov A.V., Grebennik O.S. Optimization and Selection of Development Systems of Pools Group of Oil and Gas Fields (pp. 38-44)

    Astract. The paper reviews some variants of optimization and selection of systems of development of oil or gas fields, including some separate (in terms of hydrodynamics) pools which are tied with each other by resources constraint or general plan of oil or gas production. These problems are stated as MILP models and to solve them the approximate solution algorithm has been developed. Perspective approaches to multilevel decomposition of oil pools with hierarchical splitting and parallel computing on supercomputer for developing effective methods of problem solution are also examined.

    Keywords: selection of development system, reservoir engineering, optimization problem, optimal allocation of scare resources, oil and gas pools group.

    Control in Medical and Biological Systems

    Tokmachev M.S. The Regional Population Health: Models and Control (pp. 45-52)

    Astract. The author's technique for studying the population health process by statistical laws is presented. The mathematical model of the process is developed. Numerical criteria of the regional population health are obtained and analyzed; the trends and forecasts are specified.

    Keywords: personified database, Markov chain, state of health, international classification of diseases, hierarchy of classes, stochastic matrix, probability, forecast, model, regression.

    Information Technologies in Control

    Farkhadov M.G., Petukhova N.V., Efrosinin D.V., Semenova O.S. Two-Node Network Model with Unlimited Queues for Performance Characteristics Estimation and Optimization of Voice Self-Service Portals (pp. 53-57)

    Astract. The paper considers a two-node network model with unlimited queues to nodes to estimate and optimize voice self-service portals based on the computer speech recognition. The stationary probabilities of the system states are obtained and the performance characteristics are derived.

    Keywords: call center, self-service, two-node network model, stationary probabilities of the system states, computer speech recognition.

    Moving Objects Control and Navigation

    Mikrin E.A., Komarova L.I., Orlovsky I.V., Evdokimov S.N., Lukashevich A.I. Features of Ballistics and Navigation Solutions for Descent Used in the Control System of the Manned Transport Spacecraft «Soyuz TMA» (pp. 58-63) 

    Astract. Problems of autonomous ballistics and navigation support for descent of the «Soyuz TMA» descent vehicle onto the given ground are considered. Structures and features of onboard algorithms to determine navigation state vector are described. Methods of calculations necessary for descent in cases of emergency are presented.

    Keywords: transport piloted vehicle, descent module, autonomous ballistics and navigation support for descent.

    Sysoev L.P. The Criterion of Probability Detecting on the Trajectory in the Problem of Movement Control in Threat Environment (pp. 64-70)

    Astract. The problem of probability criterion synthesis for optimal object routing in threat environment is considered. The probability of object detection is presented as a functional from path. The explicit dependence on rout time for object detection probability along optimal route is found and the optimal route time is obtained.

    Keywords: probability criterion synthesis, optimal routing, threat environment, probability of object detection, optimal route time.

    Zavadsky V.K., Ivanov V.P., Kablova E.B., Clenovaya L.G. Methods and Ways of Formal Description of Incompleteness of Information in the Initial Data on Designing of On-Board Terminal Systems  (pp. 71-77)

    Astract. The paper considers two approaches to setting of the aprioristic information and the formal account of uncertainty of the aprioristic data for a class of terminal control systems. Under the first approach the stochastic model of Bayesian type system with partially unknown probability characteristics of stochastic disturbances is set. Under the second approach the family of system models ranged by complexity level is set for the control problems in which the order of the object equations and the class of stochastic disturbances are unknown.

    Keywords: uncertainty of aprioristic data, terminal control, on-board systems.

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