Cascading failures in multiple-to-multiple interdependent networks considering interdependent failure threshold

Yunda Wang, Yongxiang Xia, Qinfa Xu, Jingrui Wang and Zhen Wang

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: In recent years, the study of interdependent networks has emerged as a focus within the field of complex networks. In analyses of the robustness of networks with multiple support-dependent relationships, traditional interdependent failure rules often assume that a node fails when one or all of its interdependent nodes fail. Such assumptions often fail to capture the probabilistic nature of real-world network failures. More generally, interdependent networks in the real world typically exhibit failure dynamics in which a node fails if a certain proportion of its interdependent nodes fail. To address this fact, this paper proposes a model of multiple-to-multiple interdependent networks that introduces an interdependent failure threshold, defined as the proportion of failed interdependent nodes required to trigger the failure of a given node. The study investigates how the varying number of interdependent edges and the interdependent failure threshold influence the robustness of the network under random or intentional attacks. In intentional attacks, the robustness of the network decreases as the number of interdependent links increases. Additionally, assortatively coupled networks demonstrate greater robustness under random attacks, while randomly coupled networks are more robust under intentional attacks. Finally, we verify the correctness of our results in real-world settings and obtain conclusions that are basically consistent with the theoretical model. These findings provide valuable information on the resilience mechanisms of interdependent networks in the real world, which has implications for the design of more robust systems.

Keywords: Interdependent networks; Robustness; Cascading failures; Complex networks (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437125003644
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003644

DOI: 10.1016/j.physa.2025.130712

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().