Method of Functional-Value Calculations of Complex Systems with Mixed Subsystems Connections

Abstract

Researched method of functional-value calculations of complex systems with mixed subsystems connections in polynomial approximation of the dependence by their value on the level of functional perfection. The research results allow determining the rational management of the functional perfection of a complex system under the condition of its minimum value and given perfection. A rule has been formulated according to which the value of rationalization of a complex system can be assessed. The order of structural functional-value calculations of a complex system with a mixed subsystems connections based on the method of Lagrange factors and the involvement of an iterative approach in solving equations above the third order. Studies show that the achievement of the set value of the level of perfection should begin by improving the subsystems with a lower value coefficient. Are clarified the approaches to calculations according to the developed algorithms of functional-value modelling of a complex system with mixed subsystems connection. Graphical calculations are useful when you need to visualize the calculation process. The application of the advanced method helps to solve direct and inverse problems of rationalizing the structure of complex systems with mixed subsystems connection. It is aimed at finding the cheapest option for structural and parametric restructuring of the system in order to increase its functional perfection. The use of this method is appropriate for the study of weakly formalized and unformulated complex systems, which is why qualitative analysis of a complex system can be translated into quantitative.