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The atomic anthropotechnical system is the basic component of an enterprise's anthropotechnical system and directly affects the results of its functioning. Atomic anthropotechnical systems improvement is necessary for enterprise development. The features of atomic anthropotechnical systems structure are considered. The measurement and control subsystems are identified as the most important components of atomic anthropotechnical systems. The structure of the measurement and control subsystem is studied. The operator and automatics were the main parts of the measurement and control subsystem. The operator's ability to work and its components - the natural ability to work, qualifications and motivation - has been studied. The functional dependence of the change in ability to work on material costs and time is characterized. The complex model of the measurement and control subsystems components effect on the results of the activity of the atomic anthropotechnical system was developed. This model should become an integral part of the general mathematical model of the functioning of the atomic anthropotechnical system. [ABSTRACT FROM AUTHOR]

Purpose. Decision of extreme tasks, that there are productions at planning, by means of mathematical apparatus of operations research. Methodology. For the decision of the task the method of construction of f-functions was used, which it is possible to describe like are the measures of closeness of objects. Findings. By means of the f-functions theory the decision tree are built, its leaves are the independent tasks of the linear programming. A purpose function determines the criterion of optimum -- minimization of area or perimeter filled at workplaces. Limitations on the mutual location of workplaces are set with the help of f-functions and the search area of decisions is described. Or iginality and practical value. Mathematical apparatus of f-functions is extended on the tasks of ergonomization terms of labor, the got decisions of the systems of the linear equalization will give possibility of optimum placing workplaces on a minimum area with the observance of all norms and rules. The ergonomics organized workplace not only creates the normal terms of labor of working, but also is instrumental in the observance of technological discipline, to upgrading products and decline of its prime price. [ABSTRACT FROM AUTHOR]

This paper focuses on mathematical models of the relationship between sets and subsets based on analysis of the logic categories for further analyze threatening impacts on information security systems. The description of the pullback, nuclear relations and amalgams in the sets of information security systems are given. [ABSTRACT FROM AUTHOR]