Abstract
The method of structural functional-value modeling of complex system is offered. It is based on a polynomial approximation of the dependence of the value of subsystems on the level of their functional suitability. The initial data for calculations on the functional-value model of a complex system with serial or parallel interconnection of subsystems are formulated and determined. The choice of an indicator of the structural functional perfection of a complex system and the way of defining the function of the value function of its subsystems are grounded. The order and specific features of structural functional-value calculations of a complex system for serial and parallel subsystems interconnection are developed. The effectiveness of the developed approaches and algorithms is tested in the functional-value modeling of specific complex systems: an educational institution (serial subsystems) and an object monitoring system (parallel subsystems). The minimization of the value of a complex system, provided that it fulfilled its functional purpose at a given level, was carried out by the Lagrange multiplier method. The issues that are solved in the value rationalization of the proposed method include following: ensuring a given level of functional perfection of the system at its minimum value; structural improvement of a complex system due to the choice of a subsystem for which the improvement of the functional perfection of the whole system can be carried out with minimal value. The researches made it possible to formulate the rules of structural rationalization of a complex system. This method is adapted to application at different levels of a priori uncertainty of the source data and can be useful at all stages of the existence of a complex system: development, operation, utilization. In addition, it can be used to investigate poorly formalized and non-formalized complex systems, that is, it enables a qualitative analysis of a complex system to be translated into a quantitative one.
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Korobchynskyi, M., Slonov, M., Rudenko, M., Maryliv, O. (2021). Method of Structural Functional-Value Modeling of a Complex Hierarchic System. In: Babichev, S., Lytvynenko, V., Wójcik, W., Vyshemyrskaya, S. (eds) Lecture Notes in Computational Intelligence and Decision Making. ISDMCI 2020. Advances in Intelligent Systems and Computing, vol 1246. Springer, Cham. https://doi.org/10.1007/978-3-030-54215-3_14
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