OPTIMIZATION OF PARALLEL LINKS IN REDUNDANT UTILITY STRUCTURES

Array

Authors

  • V. Usenko National University "Yuri Kondratyuk Poltava Polytechnic"
  • O. Kodak National University "Yuri Kondratyuk Poltava Polytechnic"
  • V. Nikolaenko National University "Yuri Kondratyuk Poltava Polytechnic"
  • I. Usenko National University "Yuri Kondratyuk Poltava Polytechnic"

DOI:

https://doi.org/10.33042/2522-1809-2022-1-168-58-63

Keywords:

structural modeling, connectivity probability, system reliability, reliability optimization.

Abstract

The publication states that an important problem in the design, operation and reconstruction of various networks of engineering infrastructure is to determine the reliability of structurally complex systems. Modeling the reliability of technical systems seems to be a rather complex task. It is emphasized that the ways of rational redundancy of a complex structure of systems presuppose the well-known method of minimal paths and connections. The problem of the optimal arrangement of a system with a redundant structure has certain limitations in accordance with the available resources, such as the lower value of the probability of the system's connectivity, which serves as an optimization criterion. The paper investigates a system with identical components. The article discusses many possible forms of the structure of the system. Structural reliability expressions are calculated for all combinations used in determining the lower and upper values ​​of structural reliability. In the process of constructing a redundant structure, it is necessary to determine a variant of its form, which maximizes the value of reliability under the established restrictions on the available resources invested in the construction and operation of the system using the cost parameter for some form of its structure. The peculiarity of the system reliability function is considered when it increases, which has a discrete argument and consists of a number of some functions. In the presented geometric model, a number of operations are used to determine and concretize the requirements for the variants of the forms of the components of the system under study for their different properties, and the forms that do not meet these conditions for the variants of the component in terms of resources are removed. Here the requirements for the probability of connectivity are defined, according to which unsuccessful forms of possible structures of the system are removed. The work uses an algorithm to extract from a set of reasonable options for some options for components by resources. The specified variant of the structure form is assumed to be optimal according to the criteria. If the number of variants of the structure shape is large enough, then to find the optimal solution, another algorithm is used, in which the value of the objective function is checked, which determines the conditions for the probability of connectivity in design decisions. It is noted that in practical application the obtained solutions can be approximate.

Author Biographies

V. Usenko, National University "Yuri Kondratyuk Poltava Polytechnic"

Doctor of Engineering, Associate Professor, Professor of the Department

O. Kodak, National University "Yuri Kondratyuk Poltava Polytechnic"

PhD, Associate Professor, Associate Professor of the Department

V. Nikolaenko, National University "Yuri Kondratyuk Poltava Polytechnic"

PhD, Associate Professor, Associate Professor of the Department

I. Usenko, National University "Yuri Kondratyuk Poltava Polytechnic"

PhD, Associate Professor, Associate Professor of the Department

References

1. Abramov, O.V., Rosenbaum, A.N. (1990). Forecasting the state of technical systems. Moscow: Science. [in Russian]
2. Barlow, R., Proshan, F. (1969). Mathematical theory of reliability. Moscow: Soviet radio. [in Russian]
3. Bala, R., Aggarwal, K.K. (1989). A simple method for optimal redundancy allocations for complex networks. IEEE Transferred Reliability, 39(2), 73−78.
4. Belyaev, Yu.K., Bogatyrev, V.A., Bolotin, V.V. (1985). Reliability of technical systems. Moscow: Radio and communication. [in Russian]
5. Henley, E.J., Kumamoto, H. (1984). Reliability of technical systems and risk assessment. Moscow: Mechanical Engineering. [in Russian]
6. Dhillon, B.S. (1983). Reliability Engineering in Systems Design and Operation. New York: Van Nostrand Reinhold Company.
7. Mikhalevich, V.S., Volkovich, V.L. (1982). Computational methods of research and design of complex systems. Moscow: Science. [in Russian]
8. Reinschke, K., Ushakov, I. (1987). Application of Graph Theory for Reliability Analysis. Berlin: Verlag Technik.
9. Volkovich, V.L., Voloshin, A.F. (1978). On one scheme of the method of sequential analysis and screening of options. Cybernetics, 4, 98−105. [in Russian]
10. Zaslavsky, V.A., Skobelev, O.E. (1989). On one approach to optimizing the reliability of systems with a monotonic structure. Operations Research and ACS, 36, 44–55. [in Russian]
11. Usenko, V., Kodak, O., Usenko, I. (2020). Geometric reliability model of the five site redundant structure. Engineering Review, 40, 2. 10–15. DOI: https://doi.org/10.30765/er.40.2.02
12. Jin-Zhang, Jia, Zhuang, Li, Peng, Jia, and Zhi-guo, Yang (2020). Reliability Analysis of Common Cause Failure Multistate System Based on CUGF. Mathematical Problems in Engineering, 2020, 4608124. DOI: https://doi.org/10.1155/2020/4608124
13. Cheng-Fu, Huang, Ding-Hsiang, Huang, Yi-Kuei, Lin (2020). Network Reliability Evaluation for a Distributed Network with Edge Computing. Computers & Industrial Engineering, 147, 10649. DOI: https://doi.org/10.1016/j.cie.2020.106492
14. Usenko, V., Kodak, O., Usenko, I. (2018). Approximational projection of a network with an arbitrary structure. International Journal of Engineering & Technology, 7(3.2), 550–554. DOI: http://dx.doi.org/10.14419/ijet.v7i3.2.14587
15. Usenko, V., Kodak, O. (2018). Probability of the connection of the double structures of engineering networks with various reliability of parts. Academic Journal. Series: Industrial Machine Building, Civil Engineering, 1(50), 270–277. DOI: http://dx.doi.org/10.26906/znp.2018.50.1085
16. Ozger, S., Mays, L.W. Optimal Location of Isolation Valves in Water Distribution Systems: a Reliability / Optimization Approach, 7.1–7.27. URL: http://www.public.asu.edu/~lwmays/Ch07_Mays_144381-9.pdf
17. Usenko, V., Pogorily, D., Usenko, I. (2018). Problematic issues of methodology for ensuring the reliability of engineering networks. Applied Mechanics Reviews, 70, 1138–1146.

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Published

2022-03-23

How to Cite

Usenko, V., Kodak, O., Nikolaenko, V., & Usenko, I. (2022). OPTIMIZATION OF PARALLEL LINKS IN REDUNDANT UTILITY STRUCTURES: Array. Municipal Economy of Cities, 1(168), 58–63. https://doi.org/10.33042/2522-1809-2022-1-168-58-63