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Cascading load model in interdependent networks with coupled strength

Author

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  • Wang, Jianwei
  • Li, Yun
  • Zheng, Qiaofang

Abstract

Considering the coupled strength between interdependent networks, we introduce a new method to define the initial load on an edge and propose a cascading load model in interdependent networks. We explore the robustness of the interdependent networks against cascading failures by two measures, i.e., the critical threshold βc quantifying the whole robustness of the interdependent networks to avoid the emergence of cascading failure, and the new proposed smallest capacity threshold βc,s quantifying the degree of the worst damage of the interdependent networks. We numerically find that the AL (high-degree nodes in network A connect high-degree ones in network B) link between two networks can greatly enhance the robust level of the interdependent networks against cascading failures. Especially we observe that the values of βc in the interdependent networks with both the DL (high-degree nodes in network A connect low-degree ones in network B) link and the RL (nodes in network A randomly connect ones in network B) link increase monotonically with the coupled strength, while the values of βc,s in the interdependent networks with three types of link patterns almost monotonically decreases with the coupled strength. In the interdependent networks with the AL, the value of βc first decreases and then increases with the coupled strength. We further explain this interesting phenomenon by a simple graph. In addition, we study the influence of the coupled strength on the efficiency of two attacks to destroy the interdependent networks. We find that, when the coupled strength between two networks is weaker, attacking the edges with the lower load is more easier to trigger the cascading propagation than attacking the nodes with the higher load, however, when the coupled strength in two networks is stronger, the case is on the contrary. Finally, we give reasonable explanations from the local perspective of the total capacity of all neighboring edges of a failed edge.

Suggested Citation

  • Wang, Jianwei & Li, Yun & Zheng, Qiaofang, 2015. "Cascading load model in interdependent networks with coupled strength," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 242-253.
    • Handle: RePEc:eee:phsmap:v:430:y:2015:i:c:p:242-253
    DOI: 10.1016/j.physa.2015.02.072
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    1. Wang, Jianwei & Jiang, Chen & Qian, Jianfei, 2014. "Robustness of interdependent networks with different link patterns against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 535-541.
    2. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    3. Ash, J. & Newth, D., 2007. "Optimizing complex networks for resilience against cascading failure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 673-683.
    4. Pahwa, S. & Youssef, M. & Schumm, P. & Scoglio, C. & Schulz, N., 2013. "Optimal intentional islanding to enhance the robustness of power grid networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3741-3754.
    5. Alessandro Vespignani, 2010. "The fragility of interdependency," Nature, Nature, vol. 464(7291), pages 984-985, April.
    6. Wang, Jianwei & Rong, Lili & Zhang, Liang & Zhang, Zhongzhi, 2008. "Attack vulnerability of scale-free networks due to cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6671-6678.
    7. Andre A. Moreira & Jose S. Andrade Jr. & Hans J. Herrmann & Joseph O. Indekeu, "undated". "How to make a fragile network robust and vice versa," Working Papers CCSS-09-001, ETH Zurich, Chair of Systems Design.
    8. Cao, Xian-Bin & Hong, Chen & Du, Wen-Bo & Zhang, Jun, 2013. "Improving the network robustness against cascading failures by adding links," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 35-40.
    9. Wang, Jian-Wei & Rong, Li-Li, 2009. "A model for cascading failures in scale-free networks with a breakdown probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1289-1298.
    10. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    11. Zhang, Guidong & Li, Zhong & Zhang, Bo & Halang, Wolfgang A., 2013. "Understanding the cascading failures in Indian power grids with complex networks theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3273-3280.
    12. Wang, Jian-Wei & Rong, Li-Li, 2009. "Edge-based-attack induced cascading failures on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1731-1737.
    13. Jianwei Wang & Chen Jiang & Jianfei Qian, 2013. "Improving Robustness Of Coupled Networks Against Cascading Failures," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(11), pages 1-12.
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