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The paper considers the tasks of discovering ergonomic reserves for increasing the reliability and efficiency of automated systems. The authors show the necessity of using the Activity Approach and the Theory of Functional Networks, developed by the scientific school of Professor Anatoly Ilyich Gubinsky. The authors describe the history of Functional Networks approach and the current state of development of the functional networks models and show the possibilities for automating the assessment of reliability of human-machine interactions. The research describes the common ergonomics issues and its effective solution by the introduction of automated procedures for the analysis and evaluation of functional networks. The authors further present the ways of using the developed models in decision support systems in the automated systems design and operation. [ABSTRACT FROM AUTHOR]