Details
| Original language | English |
|---|---|
| Title of host publication | Cyber-Physical Systems |
| Subtitle of host publication | Industry 4.0 to Industry 5.0 Transition |
| Pages | 219-234 |
| Number of pages | 16 |
| ISBN (electronic) | 978-3-031-67911-7 |
| Publication status | Published - 2024 |
Publication series
| Name | Studies in Systems, Decision and Control |
|---|---|
| Volume | 560 |
| ISSN (Print) | 2198-4182 |
| ISSN (electronic) | 2198-4190 |
Abstract
The behavior of real systems is often stochastic, and the connections between their elements can be adequately described as correlations. In recent years, there have been trends of increasing and complicating modern networks with the growth of their dependence on each other. We observe how several networks are combined into one interdependent network structure. This leads to an increase in the risks that the failure of nodes in one network may lead to the failure of dependent nodes in other networks. As a result of such failures, catastrophic cascade failures can occur in such interconnected network structures. Given the scale of such structures, which are often critical infrastructures, this problem becomes very relevant. The chapter considers the problem of the influence of correlation between individual nodes on the risk of cascading failures in networks. However, determining the correlation between networks is a difficult task in practice. Therefore, for the risk analysis of real network structures, it is first necessary to conduct a study on models, and only then move on to solving practical problems. Applied to Gaussian model network structures, the influence of the closeness of the relationship between subsystems on the risk of cascading failures has been studied. The value of the risk was estimated as the probability of such failures. As an indicator of the risk of cascading failures in the network structure, it is proposed to use the entropy indicator of the relationship between its subsystems. And to reduce the risk of cascading failures in the network structure, it is necessary to reduce the tightness of correlation between the most interconnected elements of subsystems.
Keywords
- Cascading failure, Correlation, Entropy, Interconnection, Model, Network, Node, Risk, System
ASJC Scopus subject areas
- Computer Science(all)
- Computer Science (miscellaneous)
- Engineering(all)
- Control and Systems Engineering
- Engineering(all)
- Automotive Engineering
- Social Sciences(all)
- Social Sciences (miscellaneous)
- Economics, Econometrics and Finance(all)
- Economics, Econometrics and Finance (miscellaneous)
- Mathematics(all)
- Control and Optimization
- Decision Sciences(all)
- Decision Sciences (miscellaneous)
Cite this
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Cyber-Physical Systems: Industry 4.0 to Industry 5.0 Transition. 2024. p. 219-234 (Studies in Systems, Decision and Control; Vol. 560).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research
}
TY - CHAP
T1 - Entropy Indicators of Cascading Failures Risk in Gaussian Interconnected Network Structures
AU - Tyrsin, Alexander N.
AU - Kashcheev, Stanislav E.
AU - Beer, Michael
AU - Kashcheev, S. E.
AU - Gerget, Olga M.
PY - 2024
Y1 - 2024
N2 - The behavior of real systems is often stochastic, and the connections between their elements can be adequately described as correlations. In recent years, there have been trends of increasing and complicating modern networks with the growth of their dependence on each other. We observe how several networks are combined into one interdependent network structure. This leads to an increase in the risks that the failure of nodes in one network may lead to the failure of dependent nodes in other networks. As a result of such failures, catastrophic cascade failures can occur in such interconnected network structures. Given the scale of such structures, which are often critical infrastructures, this problem becomes very relevant. The chapter considers the problem of the influence of correlation between individual nodes on the risk of cascading failures in networks. However, determining the correlation between networks is a difficult task in practice. Therefore, for the risk analysis of real network structures, it is first necessary to conduct a study on models, and only then move on to solving practical problems. Applied to Gaussian model network structures, the influence of the closeness of the relationship between subsystems on the risk of cascading failures has been studied. The value of the risk was estimated as the probability of such failures. As an indicator of the risk of cascading failures in the network structure, it is proposed to use the entropy indicator of the relationship between its subsystems. And to reduce the risk of cascading failures in the network structure, it is necessary to reduce the tightness of correlation between the most interconnected elements of subsystems.
AB - The behavior of real systems is often stochastic, and the connections between their elements can be adequately described as correlations. In recent years, there have been trends of increasing and complicating modern networks with the growth of their dependence on each other. We observe how several networks are combined into one interdependent network structure. This leads to an increase in the risks that the failure of nodes in one network may lead to the failure of dependent nodes in other networks. As a result of such failures, catastrophic cascade failures can occur in such interconnected network structures. Given the scale of such structures, which are often critical infrastructures, this problem becomes very relevant. The chapter considers the problem of the influence of correlation between individual nodes on the risk of cascading failures in networks. However, determining the correlation between networks is a difficult task in practice. Therefore, for the risk analysis of real network structures, it is first necessary to conduct a study on models, and only then move on to solving practical problems. Applied to Gaussian model network structures, the influence of the closeness of the relationship between subsystems on the risk of cascading failures has been studied. The value of the risk was estimated as the probability of such failures. As an indicator of the risk of cascading failures in the network structure, it is proposed to use the entropy indicator of the relationship between its subsystems. And to reduce the risk of cascading failures in the network structure, it is necessary to reduce the tightness of correlation between the most interconnected elements of subsystems.
KW - Cascading failure
KW - Correlation
KW - Entropy
KW - Interconnection
KW - Model
KW - Network
KW - Node
KW - Risk
KW - System
UR - http://www.scopus.com/inward/record.url?scp=85211803558&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-67911-7_17
DO - 10.1007/978-3-031-67911-7_17
M3 - Contribution to book/anthology
SN - 978-3-031-67910-0
T3 - Studies in Systems, Decision and Control
SP - 219
EP - 234
BT - Cyber-Physical Systems
ER -