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Документ Application of the correlation analysis mathematical apparatus for determination the lead–acid batteries management and status control minimum diagnosis(Національний технічний університет "Харківський політехнічний інститут", 2021) Makogon, Helen; Suchko, Roman; Moskalenko, Viktor; Kalinin, Igor; Burdin, Sergiy; Iksarytsia, ViktoriiaThe subject matter of the article is the lead–acid batteries carrier and management.The goal of the study is the development of a methodology for assessing the lead–acid batteries’ parameters and to provide recommendations for their long–term management and carrier in the army operation. The tasks to be solved are: on the basis of the lead–acid batteries operation experience to define a set of diagnostic parameters on which it is possible to draw a conclusion about the technical state of a battery and change of its electric, operational and design properties; to determine the correlations between the properties of the battery and make their assessment based on the established criteria; to build a diagnostic graph–model of causal relationships of a battery’s parameters in the form of a correlation galaxy; to justify the lead–acid batteries carrier and management minimum diagnosis which can be carried out during their life cycle management та status control under the lack of time. General scientific and special methods of scientific knowledge are used. The following results were obtained: The set of diagnostic parameters to assess the battery technical state was determinated. Statistical data processing using the mathematical apparatus of correlation analysis was done. The diagnostic graph model of a lead–acid battery in the form of a correlation galaxy was constructed. The lead–acid batteries carrier and management minimum diagnosis during the life cycle was determined. Conclusions. Analysis of the experience of the lead–acid batteries operation determines a set of diagnostic parameters, which can be used to draw a conclusion about the technical state of a battery and change of its electric,operational and design properties. As generalized diagnostic parameters of the battery technical state can be considered the State of Health and the State of charge. Statistical data processing using the mathematical apparatus of correlation analysis allows to determine the causal and dependencies between the battery’s parameters and make their assessment based on the established criteria. Presentation of generalized results in the form of a correlation galaxy makes it possible to build a diagnostic graph–model of battery in the form of a correlation galaxy. Control of the SoC and SoH of the lead–acid battery will ensure the monitoring of the remaining charge, as well as the issuance of a warning about the need to replace the battery. A promising direction in the development of battery operation can be considered the development of battery–powered trackers – software and hardware devices capable of caring for battery care and battery management.Документ Application probabilistic economic mathematical models for optimization planning of an irreducible stock and improving the efficiency of logistics supply management of the state defence forces without redusingthe level of reliability(Національний технічний університет "Харківський політехнічний інститут", 2020) Sydorenko, Yevhen; Makogon, Helen; Korda, Mykyta; Isakov, Oleksandr; Babkin, Yuri; Kalinin, IgorThe subject matter of the article is the logistical support of the state defence forces.The goalof the study is the is the development of a probabilistic economic and mathematical model of logistics supply management for planning a non-reducing stock of the state defence forceslogistics supply. The tasks to be solved are: to formulate the task of determining the irreducible (reserve) of logistics supply stock size, to providethat the maximum possible value of its probability exhaustion within a certain period will not exceed the limiting value in terms of Wilson economic and mathematical model; by statistical processing of the state defence forces actions observation performingtheir assigned tasks to present the task of determining the optimal non-reducing stock by type of logistics cost without to reducing the level of reliability as a task to test multi-alternative statistical hypotheses; on the basis of solving the problemof continuous linear programming to determine the optimal non-reducible stock according to the nature of expenditures in order to improve the logistics supply management of the state defence forces. General scientific and special methods of scientific knowledge are used. The following resultswere obtained: Loses of the logistics supply stocks the defensestate forces performing their assigned tasks within a certain period of time as a normally distributed random variable with a mathematical expectation and standard deviation calculated from the results of statistical data processing. The problem of determining the optimal irreducible stock by types of loses of the logistics supplywithout reducing the level of reliability is formulated as a problem ofmulti-alternative statistical hypotheses testing and solved as a problem of continuous linear programming. Conclusions. It was determinedthe size of the non-reducing (reserve) stock of logistics supply of state defense units when performing their assigned tasks, provided that the maximum possible value of the probability of its exhaustion during a certain period does not exceed the limit value should be formulated in terms of Wilson economic-mathematical model. The assumption that the expenditure of the logistics supply stocks means when performing the assigned tasks by the state defense forces is a random variable subject to the normal distribution law make it possible to use the well-known theory of probability apparatus and many-alternative statistical hypotheses testing and make calculations based on the existing statistical sampling data. Statistical processing of data obtained during state defense forces preforming assigned tasks allows you to obtain initial data and calculate the predicted optimal probabilities of the logistics supply loses distribution in accordance with current, average, overhaul and irrecoverable losses.Документ Justification of maintenance parameters of a weapons and military equipment sample with regard to structure, time-based redundancy and levels of health(Національний технічний університет "Харківський політехнічний інститут", 2019) Kovalov, Ivan; Bazeliuk, Volodymyr; Isakov, Oleksandr; Kalinin, Igor; Shapoval, OleksandrThe subject matterof the article is the maintenance of armored weapons and military equipment samples used for their intended purpose. The goal of the study is to justify the optimal values of service parameters. The tasks to be solved are: to develop a mathematical model of the functioning process of the weapons and military equipment sample subsystems with periodic maintenance taking into account its structure, time redundancy and levels of performance; to cary out composition of the weapons and military equipment sampleinto separate subsystems to justify the choice of the most appropriate maintenance strategy for each of them, to determine the optimal maintenance strategy taking into account the operating conditions, units and units involved. General scientific and special methods of scientific knowledge are used. The following results are obtained: It is proposed to determine the optimal values of maintenance periodicity for individual subsystems of the sample of weapons and military equipment, taking into account the reserves of timeand features of operation, as well as combining the operations of maintenance of individual subsystems into a single set of works for the sample as a whole based on the representation of the process of operation of the subsystem of the subsystem of the subsystem as a mathematical model of a randomsemi-Markov process. Conclusions. An analysis of the existing maintenance and repair strategies has shown theirsingle-handedly inefficient in the weapons and military equipment sample operating. The example of the T-64B shows that to put troops into practice, a proper justification and a complex combination of existing strategies is required, ie the creation of a new mixed strategy and efficient use of equipment. It is proposed to decompose the weapons and military equipment sample into separate functionally completed subsystems, justifying the choice of the most appropriate maintenance strategies for them (with periodic or maintenance status), determining for each subsystem the optimal strategy and accordingly the periodicity of maintenance taking into account the time reserves and operation features, as well as separate subsystems into a single set of weapons and military equipment sampleworks for the sample as a whole. Optimal values of maintenance periodicity and coefficient of technical use are obtained by means of a mathematical model of the process of functioning of the T-64B subsystems with periodic maintenance in the form of a random semi-Markov process. The results of the calculations show that for such tank subsystems as power plant, transmissionand undercarriage, electrics, it is advisable to choose a maintenance strategy with periodic maintenance, and for a fire control and air purification system maintenance as a condition.The results obtained can be used in the future to develop suggestions for improving the equipment used to diagnose the technical condition of the weapons and military equipment sample. Improvement of the equipment used in the weapons and military equipment maintenance and repair will significantly increase the depth and quality of determining the technical condition of the objects, and therefore the correctness and efficiency of maintenance.