Cascading failures in interdependent scale-free networks of different coupling preferences with the harmonic closeness

Hao, Yucheng; Jia, Limin; Wang, Yanhui

doi:10.1209/0295-5075/127/38003

Cited by 13 publications

(4 citation statements)

References 49 publications

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“…Most of the previous works with regard to the cascading failure in the interdependent network utilize the percolation theory to decide whether the failure propagation is triggered [1]- [4], [6], [7], [10], [12]- [14], [17], [18]. In terms of the percolation theory, it is assumed that the component containing the most nodes, namely the giant component, can keep the normal function, which means that the nodes belonging to the component with the fewer nodes fail to work.…”

Section: B Cascading Failure Model In Imecnmentioning

confidence: 99%

Analysis of Resilience Under Repair Strategy in Interdependent Mechatronic System

et al. 2021

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Existing works on the interdependent system have come to fruition based on the percolation theory and revealed that it possesses the great vulnerability due to the essential interdependency. However, how to effectively recover the performance of the interdependent system after cascading failures is still under research. In this article, we define an interdependent mechatronic system as an interdependent machineelectricity-communication network. By considering the behavior of the real-world system, we put forward an extended cascading failure model in which the non-giant component is also functional when its size proportion is not smaller than the proportion threshold δ and it has the interdependent links from the other two subnetworks. Then, according to the measures of a node (i.e., single measures), the interdependent measures are proposed and the repair strategies are obtained by these measures to determine the order of repaired nodes. In order to accurately reflect the resilience in the interdependent mechatronic system, we adopt three metrics to quantify it, i.e., the change of the robustness, the recovery ability, and the critical number of repaired nodes. Finally, we study the relationship between δ and the robustness, and apply different repair strategies to the analysis of the resilience in a real mechatronic system. The experiments show that the non-giant component plays a key role in the robustness and the resilience is affected by δ when a few nodes fail to work. In addition, we obtain the optimal repair strategy from different aspects of the resilience. A striking finding is that in most instances, the repair strategies concerning the interdependent measures lead to the higher resilience compared with the ones concerning the single measures. Our work may provide insights to make a plan for repairing equipment so as to enhance the resilience of the interdependent mechatronic system.

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Section: B Cascading Failure Model In Imecnmentioning

confidence: 99%

Analysis of Resilience Under Repair Strategy in Interdependent Mechatronic System

et al. 2021

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“…Since the introduction of the framework proposed by Buldyrev et al in 2010 [4], which analyzes the robustness of interdependent networks based on percolation theory, numerous studies have been conducted within this framework. However, most studies on the robustness of interdependent networks have focused on the one-to-one interdependence between the individual nodes [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. In the real world, some nodes always cooperate to form groups or cliques to enhance the system's robustness against risks.…”

Section: Introductionmentioning

confidence: 99%

Percolation in interdependent networks with groups and heterogeneous weak interdependency strength under targeted attack

Zhang,

Liu,

Liu

et al. 2024

Phys. Scr.

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Pairwise dependencies in interdependent networks exist not only between ordinary nodes but also between groups of nodes, where nodes cooperate and form groups to increase their robustness to risks and each group can be considered a ``supernode''. The interdependencies between supernodes are universal but not always complete and homogeneous. \textcolor{red}{In this paper, we study the robustness of interdependent networks with groups and heterogeneous weak interdependency strength under targeted attack, where the interdependency strength could vary between different supernodes.} We identify several types of percolation transitions, namely discontinuous, continuous, and hybrid, which are determined by the structure of the supernodes, the strengths of the interdependencies, and their distributions. We first apply this mathematical framework to the Erdös-Rényi and Scale-free interdependent networks with groups and homogeneous weak interdependency strength to calculate analytically and numerically the values of the phase transition thresholds and the critical interdependency strengths that distinguish different types of transitions. We then present examples of three distributions with different heterogeneous interdependency strengths. Our theoretical and numerical predictions are in close agreement, demonstrating that weaker interdependence strengths and higher levels of interdependence heterogeneity can enhance the robustness of interdependent networks under targeted attack.

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“…Lin et al [16] calculated coupling coefficients based on the proportion of intra-and inter-layer load allocation and introduced a dynamic coupling strategy based on these coupling coefficients. Hao et al [17] proposed assortative coupling with harmonic closeness (ACH) and disassortative coupling with harmonic closeness (DCH) considering the shortest paths between the nodes.…”

Section: Introductionmentioning

confidence: 99%

Load Allocation Strategy for Command and Control Networks based on Interdependence Strength

2023

KSII TIIS

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Command and control networks(C2N) exhibit evident multi-network interdependencies owing to their complex hierarchical associations, interleaved communication links, and dynamic network changes. However, the existing command and control networks do not consider the effects of dependent nodes on the load distribution. Thus, we proposed a command and control networks load allocation strategy based on interdependence strength. First, a new measure of interdependence strength was proposed based on the edge betweenness, which was followed by proposing the inter-layer load allocation strategy based on the interdependence strength. Eventually, the simulation experiments of the aforementioned strategy were designed to analyze the network invulnerability with different initial load capacity parameters, allocation model parameters, and allocation strategies. The simulation indicates that the strategy proposed in this study improved the node survival rate of the interdependent command and control networks model and successfully prevented cascade failures.

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Cascading failures in interdependent scale-free networks of different coupling preferences with the harmonic closeness

Cited by 13 publications

References 49 publications

Analysis of Resilience Under Repair Strategy in Interdependent Mechatronic System

Analysis of Resilience Under Repair Strategy in Interdependent Mechatronic System

Percolation in interdependent networks with groups and heterogeneous weak interdependency strength under targeted attack

Load Allocation Strategy for Command and Control Networks based on Interdependence Strength

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