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Документ To a question on application of the statistical theory for the description of industrial systems(2009) Khodusov, V. D.; Pihnastyi, O. M.The application of the methods of Statistical Physics for its description is possible owing to the representation of the manufacturing firm with mass production output as a system with a large number of elements (the basic products) of stochastic nature, which is in the production process. The behavior of the basic products along the technological chain depends on the definite manufacturing and technological laws in accordance with the technological process of the manufacturing firm, its production plan, the availability of manpower resources and equipment. The state of the production system’s basic products at any instant of time is given as the point in two-dimensional phase space. The function of the basic product’s distribution in the rate of expense’s variation is set and the equation similar to the kinetic equation in Physics is written down. The engineer-production function, which is analogous to the force moving the basic product along the technological chain of the production process, is set and can be determined from the technical documentation of the manufactured article approved in the manufacturing firm. The producer function, which describes the interaction of the basic products (the system’s elements) during their moving along the technological chain of the production process with technical equipment, is based on the equipment disposition schemes and its technical characteristics according to the operating mode of half-finished products. Using the kinetic equation a closed system of balances equations is written down in a zero approximation on a small parameter for the moments of the distribution function. The system of balances equations describes the behavior of the basic economic macroscopic quantities of the production system, such as reserve, pace, and dispersion of the production output along the technological chain. From the balances, equations were obtained the well-known relations in business operation theory for the calculation of reserves and places of the production output.Документ Development of the controlling speed algorithm of the conveyor belt based on TOU tariffs(2020) Pihnastyi, O. M.; Khodusov, V. D.The article considers the synthesis of an optimal discrete control algorithm for the conveyor belt speed, based on the use of Time-Of-Use tariffs. Methods have been investigated that reduce the consumption of electricity required to transport material from the extracted place to the place of processing. It is shown that the uneven distribution of material along the transportation route for long multi-section conveyors leads to a significant increase in the share of transportation costs among the total costs of material extraction. The systems for controlling the flow parameters of the transport system are analyzed to ensure uniform distribution of material along the transport route and reduce the cost of transporting material. It has been demonstrated that energy management methodology is an effective tool to reduce the cost of material transportation. Analyzed the common classes of tariffs using electricity by industrial enterprises, which can be successfully used in the design of control systems for flow parameters of the conveyor line. When synthesizing algorithms for regulating the speed of the belt, the model of primary friction and the assumption of the absence of a stress wave in the belt during instantaneous switching of the speed modes were used. An analytical model of the conveyor is presented in a dimensionless form, taking into account the transport delay. The problem of optimal control of the speed of the conveyor belt at fixed energy consumption for the considered control interval is formulated. The ranges of variation of the model parameters are estimated. An algorithm for optimal regulation of the belt speed using the coefficients Ukraine – TOU periods is synthesized. The influence of the initial conditions on the belt speed control modes is analyzed.Документ Neural model of conveyor type transport system(2020) Pihnastyi, O. M.; Khodusov, V. D.In this paper, a model of a transport conveyor system using a neural network is demonstrated. The analysis of the main parameters of modern conveyor systems is presented. The main models of the conveyor section, which are used for the design of control systems for flow parameters, are considered. The necessity of using neural networks in the design of conveyor transport control systems is substantiated. A review of conveyor models using a neural network is performed. The conditions of applicability of models using neural networks to describe conveyor systems are determined. A comparative analysis of the analytical model of the conveyor section and the model using the neural network is performed. The technique of forming a set of test data for the process of training a neural network is presented. The foundation for the formation of test data for learning neural network is an analytical model of the conveyor section. Using an analytical model allowed us to form a set of test data for transient dynamic modes of functioning of the transport system. The transport system is presented in the form of a directed graph without cycles. Analysis of the model using a neural network showed a high-quality relationship between the output flow for different conveyor sections of the transport system.