Enhanced Interconnection Model in Geographically Interdependent Networks

Interconnection between telecommunication networks and other critical infrastructures is usually established through nodes that are spatially close, generating a geographical interdependency. Previous work has shown that in general, geographically interdependent networks are more robust with respect to cascading failures when the interconnection radius (r) is large. However, to obtain a more realistic model, the allocation of interlinks in geographically interdependent networks should consider other factors. In this paper, an enhanced interconnection model for geographically interdependent networks is presented. The model proposed introduces a new strategy for interconnecting nodes between two geographical networks by limiting the number of interlinks. Results have shown that the model yields promising results to maintain an acceptable level in network robustness under cascading failures with a decrease in the number of interlinks.

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Attack robustness of cascading load model in interdependent networks

International Journal of Modern Physics C ◽

10.1142/s0129183115500308 ◽

2015 ◽

Vol 26 (03) ◽

pp. 1550030 ◽

Cited By ~ 14

Author(s):

Jianwei Wang ◽

Yuedan Wu ◽

Yun Li

Keyword(s):

The Other ◽

Network Robustness ◽

Cascading Failures ◽

Load Model ◽

Interdependent Networks ◽

Reasonable Explanation ◽

Targeted Attacks ◽

Initial Load ◽

Lower Load ◽

Local Perspective

Considering the weight of a node and the coupled strength of two interdependent nodes in the different networks, we propose a method to assign the initial load of a node and construct a new cascading load model in the interdependent networks. Assuming that a node in one network will fail if its degree is 0 or its dependent node in the other network is removed from the network or the load on it exceeds its capacity, we study the influences of the assortative link (AL) and the disassortative link (DL) patterns between two networks on the robustness of the interdependent networks against cascading failures. For better evaluating the network robustness, from the local perspective of a node we present a new measure to qualify the network resiliency after targeted attacks. We show that the AL patterns between two networks can improve the robust level of the entire interdependent networks. Moreover, we obtain how to efficiently allocate the initial load and select some nodes to be protected so as to maximize the network robustness against cascading failures. In addition, we find that some nodes with the lower load are more likely to trigger the cascading propagation when the distribution of the load is more even, and also give the reasonable explanation. Our findings can help to design the robust interdependent networks and give the reasonable suggestion to optimize the allocation of the protection resources.

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Cascading failures in interdependent modular networks with partial random coupling preference

Modern Physics Letters B ◽

10.1142/s0217984917502670 ◽

2017 ◽

Vol 31 (29) ◽

pp. 1750267 ◽

Cited By ~ 2

Author(s):

Meng Tian ◽

Xianpei Wang ◽

Zhengcheng Dong ◽

Guowei Zhu ◽

Jiachuang Long ◽

...

Keyword(s):

Community Structure ◽

Network Robustness ◽

Cascading Failures ◽

Scale Free ◽

Interdependent Networks ◽

Connection Probability ◽

Random Coupling ◽

Protection Cost ◽

Interdependent Infrastructures ◽

Partial Coupling

Cascading failures have been widely analyzed in interdependent networks with different coupling preferences from microscopic and macroscopic perspectives in recent years. Plenty of real-world interdependent infrastructures, representing as interdependent networks, exhibit community structure, one of the most important mesoscopic structures, and partial coupling preferences, which can affect cascading failures in interdependent networks. In this paper, we propose the partial random coupling in communities, investigating cascading failures in interdependent modular scale-free networks under inner attacks and hub attacks. We mainly analyze the effects of the discoupling probability and the intermodular connection probability on cascading failures in interdependent networks. We find that increasing either the dicoupling probability or the intermodular connection probability can enhance the network robustness under both hub attacks and inner attacks. We also note that the community structure can prevent cascading failures spreading globally in entire interdependent networks. Finally, we obtain the result that if we want to efficiently improve the robustness of interdependent networks and reduce the protection cost, the intermodular connection probability should be protected preferentially, implying that improving the robustness of a single network is the fundamental method to enhance the robustness of the entire interdependent networks.

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The cross-networks impact analysis and assessment in multilayer interdependent networks: A case study of critical infrastructures

International Journal of Modern Physics C ◽

10.1142/s0129183119400072 ◽

2019 ◽

Vol 30 (07) ◽

pp. 1940007 ◽

Cited By ~ 1

Author(s):

Fang Zhou ◽

Yanchao Du ◽

Yongbo Yuan ◽

Mingyuan Zhang

Keyword(s):

Impact Analysis ◽

Evaluation Model ◽

Flow Characteristics ◽

Global Network ◽

Critical Infrastructures ◽

Cascading Failures ◽

Multilayer Networks ◽

Dependency Matrix ◽

Interdependent Networks ◽

The Cross

Critical infrastructures are tightly connected and extremely fragile multilayer coupled networks. This paper discusses the cross-networks impact of subnetworks and global network of networks on robustness by taking a critical infrastructures with three-layer interdependent networks as an example. The percolation theory is applied to capture the flow characteristics of cascading failures and evaluate the robustness of multilayer networks. And further discuss and compare the situation of each subnetwork affecting or being affected. The quantitative evaluation model of the interaction of multilayer networks is proposed based on cascading failures, where the influence expansion matrix and the dependency matrix are obtained. The results show that the power network has a high influence on other networks, and it is difficult to be affected. Meanwhile the influence ability of water network and gas network is limited.

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Greedy control of cascading failures in interdependent networks

Scientific Reports ◽

10.1038/s41598-021-82843-8 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Malgorzata Turalska ◽

Ananthram Swami

Keyword(s):

Optimal Control ◽

Complex Systems ◽

Control Strategy ◽

Cascading Failures ◽

Optimal Control Strategy ◽

Supercritical Regime ◽

Interdependent Networks ◽

Malicious Activity ◽

Cross System ◽

Made In

AbstractComplex systems are challenging to control because the system responds to the controller in a nonlinear fashion, often incorporating feedback mechanisms. Interdependence of systems poses additional difficulties, as cross-system connections enable malicious activity to spread between layers, increasing systemic risk. In this paper we explore the conditions for an optimal control of cascading failures in a system of interdependent networks. Specifically, we study the Bak–Tang–Wiesenfeld sandpile model incorporating a control mechanism, which affects the frequency of cascades occurring in individual layers. This modification allows us to explore sandpile-like dynamics near the critical state, with supercritical region corresponding to infrequent large cascades and subcritical zone being characterized by frequent small avalanches. Topological coupling between networks introduces dependence of control settings adopted in respective layers, causing the control strategy of a given layer to be influenced by choices made in other connected networks. We find that the optimal control strategy for a layer operating in a supercritical regime is to be coupled to a layer operating in a subcritical zone, since such condition corresponds to reduced probability of inflicted avalanches. However this condition describes a parasitic relation, in which only one layer benefits. Second optimal configuration is a mutualistic one, where both layers adopt the same control strategy. Our results provide valuable insights into dynamics of cascading failures and and its control in interdependent complex systems.

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The robustness of interdependent networks under the interplay between cascading failures and virus propagation

EPL (Europhysics Letters) ◽

10.1209/0295-5075/115/58004 ◽

2016 ◽

Vol 115 (5) ◽

pp. 58004 ◽

Cited By ~ 18

Author(s):

Dawei Zhao ◽

Zhen Wang ◽

Gaoxi Xiao ◽

Bo Gao ◽

Lianhai Wang

Keyword(s):

Cascading Failures ◽

Virus Propagation ◽

Interdependent Networks

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Evaluating the effects of cascading failures in a network of critical infrastructures

International Journal of System of Systems Engineering ◽

10.1504/ijsse.2015.071458 ◽

2015 ◽

Vol 6 (3) ◽

pp. 221 ◽

Cited By ~ 1

Author(s):

William Hurst ◽

Áine MacDermott

Keyword(s):

Critical Infrastructures ◽

Cascading Failures

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Critical Infrastructure Management for Telecommunication Networks

International Journal of Knowledge and Systems Science ◽

10.4018/ijkss.2014010101 ◽

2014 ◽

Vol 5 (1) ◽

pp. 1-13

Author(s):

Haibo Wang ◽

Bahram Alidaee ◽

Wei Wang ◽

Wei Ning

Keyword(s):

Ad Hoc ◽

Critical Infrastructure ◽

Telecommunication Network ◽

Telecommunication Networks ◽

Critical Infrastructures ◽

Infrastructure Management ◽

Detection Model ◽

Proposed Model ◽

The Stability ◽

Supporting Structures

Telecommunication network infrastructures both stationary and ad hoc, play an important role in maintaining the stability of society worldwide. The protection of these critical infrastructures and their supporting structures become highly challenged due to its complexity. The understanding of interdependency of these infrastructures is the essential step to protect these infrastructures from destruction and attacks. This paper presents a critical infrastructure detection model to discover the interdependency based on the theories from social networks and new telecommunication pathways while this study transforms social theory into computational constructions. The procedure and solution of protecting critical infrastructures are discussed and computational results from the proposed model are presented.

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