The improved method of structural functional-value analysis of a complex system with a mixed combination of subsystems in an analytical approximation of the value dependences on the level of functional suitability is proposed. The minimization of the value of a complex system under the condition it fulfills its functional purpose at a given level is proposed to be implemented by the method of Lagrange multipliers. The application of the developed method allows checking the possibility of the monitoring system to perform its functional tasks with a given level of perfection as well as the identification of the opportunities for structural and parametric simplification of the system. This method is adapted for use at different levels of a priori uncertainty of the input data and can be useful at all stages of a complex system existence: development, operation, and disposal. In addition, it can be used to study low formalized and informalized complex systems.
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