Method of Structural Functional-Value Modeling of a Complex Hierarchic System

Korobchynskyi, Maksym; Slonov, Mykhailo; Rudenko, Myhailo; Maryliv, Oleksandr

doi:10.1007/978-3-030-54215-3_14

Cited by 2 publications

(12 citation statements)

References 14 publications

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“…In this case, it is necessary to look for ways to parametrically improve each individual link in order to achieve a rationally defined level of functional perfection. The distribution of the required levels of functional perfection of all individual units is determined in the process of value rationalization in solving systems by (15) and (17).…”

Section: Resultsmentioning

confidence: 99%

“…In [13][14][15], there is proposed a method of structural functional-value modeling of a complex system with polynomial approximation. The method is based on the assumption of the relationship between value and functional excellence of a complex system.…”

Section: Statement Of the Problem And Basic Equationsmentioning

confidence: 99%

“…In [14], there is given an example of application of algorithms developed in [13]. Article [15] extends the possibilities of functional-value modeling of a complex system in polynomial approximation of the dependence of the value of subsystems on the level of functional perfection.…”

Section: Statement Of the Problem And Basic Equationsmentioning

confidence: 99%

“…They do not decrease for individual sensors, processing subsystems or parts of generalization but they decrease for the whole system under analysis. The solution of equations of functional-value analysis of a complex system is based on the application of the Lagrange multiplier method [15,16]. An iterative approach is used for equations above the third order [15].…”

Section: Statement Of the Problem And Basic Equationsmentioning

confidence: 99%

“…Today functional-value analysis is a common tool for working with complex systems at all stages of their existence: development, operation and disposal [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. It aims to find a rational structure of a complex system.…”

Section: Introductionmentioning

confidence: 99%

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Method of structural functional-value modeling of a complex system with a mixed combination of subsystems

Korobchynskyi¹,

Slonov²,

Maryliv³

et al. 2021

Math. Model. Comput.

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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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Section: Resultsmentioning

confidence: 99%

Section: Statement Of the Problem And Basic Equationsmentioning

confidence: 99%

Section: Statement Of the Problem And Basic Equationsmentioning

confidence: 99%

Section: Statement Of the Problem And Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Method of structural functional-value modeling of a complex system with a mixed combination of subsystems

Korobchynskyi¹,

Slonov²,

Maryliv³

et al. 2021

Math. Model. Comput.

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

Korobchynskyi

Slonov

Krysiak

et al. 2021

Lecture Notes in Computational Intelligence and Decision Making

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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.

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Method of Structural Functional-Value Modeling of a Complex Hierarchic System

Cited by 2 publications

References 14 publications

Method of structural functional-value modeling of a complex system with a mixed combination of subsystems

Method of structural functional-value modeling of a complex system with a mixed combination of subsystems

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

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