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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Babichev, S., Korobchynskyi, M., Lahodynskyi, O., Korchomnyi, O., Basanets, V., Borynskyi, V.: Development of a technique for the reconstruction and validation of gene network models based on gene expression profiles. Eastern-Eur. J. Enterprise Technol. 4(91), 19–32 (2018). https://doi.org/10.15587/1729-4061.2018.123634
Babichev, S., Škvor, J., Fišer, J., Lytvynenko, V.: Technology of gene expression profiles filtering based on wavelet analysis. Int. J. Intell. Syst. Appl. 16(4), 1–7 (2018). https://doi.org/10.5815/ijisa.2018.04.01
Babichev, S., Taif, M., Lytvynenko, V.: Inductive model of data clustering based on the agglomerative hierarchical algorithm. In: Proceedings of the 2016 IEEE 1st International Conference on Data Stream Mining and Processing, DSMP 2016, pp. 19–22 (2016). https://doi.org/10.1109/DSMP.2016.7583499
Beavers, D., Stamey, J.: Bayesian sample size determination for value-effectiveness studies with censored data. PLoS ONE 13(1), art. no. e0190422 (2018). https://doi.org/10.1371/journal.pone.0190422
Bertsekas, D.: Constrained Optimization and Lagrange Multiplier Methods. Athena Scientific, Athena (1982)
Elrehim, M., Eid, M., Sayed, M.: Structural optimization of concrete arch bridges using genetic algorithms. Ain Shams Eng. J. 10(3), 507–516 (2019)
Glushkov, V.: Introduction to cybernetics. USSR Academy of Sciences, Kyiv (1964)
Good, H., Machol, R.: System Engineering. An introduction to the design of large-scale systems. McGraw-Hill Book Company, New York (1957)
Jaehyun, L., Jinko, K., Woong, K.: Day-ahead electric load forecasting for the residential building with a small-size dataset based on a self-organizing map and a stacking ensemble learning method. Appl. Sci. 9(6), 12–31 (2019). https://doi.org/10.3390/app9061231
Korobchynskyi, M., Slonov, M., Rudenko, M., Maryliv, O.: Method of structural functional-value modeling of a complex hierarchic system. Lecture Notes in Computational Intelligence and Decision Making 1246, 213–231 (2020). https://doi.org/10.1007/978-3-030-54215-3_14
Korobchynskyi, M., Slonov, M., Tsybulskyi, S., Dereko, V., Maryliv, O.: Construction of a method for the structural functional-cost modeling of a complex hierarchic system. Eastern-Eur. J. Enterprise Technol. 4(103), 11–22 (2020). https://doi.org/10.15587/1729-4061.2020.195379
Korshevniuk, L.: System analysis: evolution and perspectives of future development. Syst. Res. Inf. Technol. 2, 7–26 (2020). https://doi.org/10.20535/SRIT.2308-8893.2020.2.01
Liu, R., Wu, Z.: Well-posedness of a class of two-point boundary value problems associated with ordinary differential equations. Adv. Difference Equ. 2018(1), 1–12 (2018). https://doi.org/10.1186/s13662-018-1510-5
Saaty, T.: The us-opecenergy conflict: the payoff matrix by the analytic hierarchy process. Internat. J. Game Theory 8(4), 225–234 (1979)
Sentz, K., Ferson, S.: Combination of Evidence in Dempster-Shafer Theory: Sandia National Laboratories. Book January, New York (2002). https://doi.org/10.2172/800792
Slonov, M.: Functional-cost approach to structural improvement of complex system: educational process. Notes V.I. Vernadsky Taurida National Univ. 30(69), 124–128 (2019). https://doi.org/10.32838/2663-5941/2019.4-1/22
Syrotenko, A., Shypanskyi, P., Pavlikovskyi, A., Lobko, M.: Current problems of planning of defense in ukraine: a comprehensive approach. Nauka i oborona 1, 3–13 (2020)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Korobchynskyi, M., Slonov, M., Krysiak, P., Rudenko, M., Maryliv, O. (2022). Method of Functional-Value Calculations of Complex Systems with Mixed Subsystems Connections. In: Babichev, S., Lytvynenko, V. (eds) Lecture Notes in Computational Intelligence and Decision Making. ISDMCI 2021. Lecture Notes on Data Engineering and Communications Technologies, vol 77. Springer, Cham. https://doi.org/10.1007/978-3-030-82014-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-82014-5_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-82013-8
Online ISBN: 978-3-030-82014-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)