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Документ Synthesis of algorithms for stabilization ofthe level of inter-operative backlogs of the production flow line(Національний технічний університет "Харківський політехнічний інститут", 2020) Pihnastyi, O. M.; Khodusov, V. D.The report discusses methods for constructing algorithms for optimal stabilization of the value of inter-operational backlogs of the production flow line.Документ On the methods of the statistical theory of control system of production lines(Національний технічний інститут "Харківський політехнічний інститут", 2015) Azarenkov, N. A.; Pihnastyi, O. M.; Khodusov, V. D.The analysis of modern methods of organization and management of production is given.Документ Entropy method in the models industrial process control(Національний технічний інститут "Харківський політехнічний інститут", 2013) Azarenkov, N. A.; Pihnastyi, O. M.; Khodusov, V. D.For the first time, the importance of the entropy method in control theory has Dzh. Fon Neumann. Entropy approach to modeling the processes discussed in detail B. N. Petrov, I. V. Prangishvili. The entropy of the process is associated with the distribution function of process parameters on the possible states. The distribution function of the items of work is not explicitly linked to the parameters describing the state of the items of work in the technological processing.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 The stabilization problem the flow parameters of the production line(Національний університет "Одеська морська академія", 2020) Pihnastyi, O. M.; Khodusov, V. D.The problem of designing a system for optimal control of random deviations of flow parameters of a production line from the planned value is considered. The PDE-model of the production line was used as a foundation for the development of an algorithm for optimal control of the parameters production line. The method of Lyapunov functions was used to construct a system of operational control of flow parameters of production lines. The problem of stabilization of the value flow parameters of the production line (the task of operational control of the flow production) is formulated. The equations for the production line parameters in small disturbances are obtained. To assess the technological resources of the production system, which spent on the formation of control actions, the integral of the production line quality was introduced, the minimum value of which corresponds to the rapid damping of the flow parameters disturbance. Taking into account the specified quality criterion, the Lyapunov function of the production line is determined. Control actions are found that ensure the asymptotic stability of a given planned state of the production line flow parameters for a steady and transient mode of operation.Документ The problem of operational control of the flow production(Екологія, 2020) Pihnastyi, O. M.; Khodusov, V. D.This paper considers a method for constructing optimal control of random deviations of flow parameters of a production line from the planned value, based on the method of Lyapunov functions. The problem of stabilization of the values of the flow parameters of the production line (the problem of operational control of the flow production) is formulated.Документ Conveyor Model with Input and Output Accumulating Bunker(Institute of Electrical and Electronics Engineers, Inc., USA, 2020) Pihnastyi, O. M.; Kozhevnikov, G. K.; Khodusov, V. D.In this article, a model of a conveyor-type transport system with an input and output bunker is developed. The transport conveyor is presented in the form of a dynamic distributed system. It is shown that the material flow is proportional to the linear density of material distribution along the transport route. The coefficient of proportionality is the speed of the belt. When constructing the model, the assumption of the absence of oscillatory processes associated with the tension of the conveyor belt is introduced, which corresponds to the case when the function determining the speed of the belt is only a function of time. A solution is given, that determines the state of the flow parameters of the conveyor section for a given point of the transport route at an arbitrary point in time. It is shown that the state of the flow parameters for an arbitrary place in the transport route is determined by the state of the flow parameters at the input of the conveyor section, considering the transport delay. An expression is written that allows to calculate the amount of transport delay. The relationship of the transport delay value with the algorithm for controlling the conveyor belt speed is demonstrated. A system of equations for the model of a conveyor-type transport system with an input and output bunker is obtained. The behavior of the model for several characteristic cases of the functioning of the transport system is analyzed. The constructed model of the control object can be used to design highly efficient control systems for the flow parameters of the transport system with an input and an output bunker.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.Документ The statement of the task of optimal control of the production line using the additional time of equipment operation(Харківський національний університет ім. В. Н. Каразіна, 2019) Khodusov, V. D.; Pihnastyi, O. M.The production line of an enterprise with a flow method of organizing production is considered as a dynamic distributed system. The technological route for manufacturing products for many modern enterprises contains several hundreds of technological operations, in the inter-operating reserve of each of which there are thousands of products awaiting processing. Technological routes of different parts of the same type of products intersect. This leads to the fact that the distribution of sybjects of labour along the technological route has a significant impact on the throughput capacity of the production line. To describe such systems, a new class of production line models (PDE-model) has been introduced. Models of this class use partial differential equations to describe the behaviour of production line flow parameters. In this article, a PDE-model of the production line is built, the flow parameters of which depend on the load factor of the process equipment for each operation. For the description of a distributed dynamic system, the PDE model of the production line was used. At the same time, the single-shift mode of operation of a production enterprise is considered as a basic mode of operation.Документ The optimal control problem for output material flow on conveyor belt with input accumulating bunker(Южно-Уральский государственный университет, 2019) Pihnastyi, O. M.; Khodusov, V. D.The article is devoted to the synthesis of optimal control of the conveyor belt with the accumulating input bunker. Much attention is given to the model of the conveyor belt with a constant speed of the belt. Simulation of the conveyor belt is carried out in the one-moment approximation using partial differential equations. The conveyor belt is represented as a distributed system. The used PDE-model of the conveyor belt allows determining the state of the flow parameters for a given technological position as a function of time. We consider the optimal control problem for flow parameters of the conveyor belt. The problem consists in ensuring the minimum deviation of the output material flow from a given target amount. The control is carried out by the material flow amount, which comes from the accumulating bunker into the conveyor belt input. In the synthesis of optimal control, we take into account the limitations on the size of the accumulating bunker, as well as on both max and min amounts of control. We construct optimal control of the material flow amount coming from the accumulating bunker. Also, we determine the conditions to switch control modes and estimate time period between the moments of the switching.