Abstract：For real networks where the attribute length of connected edges affects the load capacity of edge-dependent networks, this paper proposes a load capacity-weighted model considering the length of connected edges to analyze the cascading failure process of edge-dependent networks in ER-ER, BA-BA, heterogeneous ER-BA networks and power-information-dependent networks. The effects of different load allocation strategies, network structures, different capacity factors and different attacks on the robustness of edge-dependent weighted networks are investigated when the networks fail at the edges. The results show that, the dynamic residual capacity load allocation strategy proposed in this paper can improve the robustness of the network; Increasing the capacity factor in the corresponding range significantly improves the robustness of the network; BA-BA networks are least able to resist large-scale random failures; Compared to typical networks, edge-based deliberate attacks are more destructive in power-information dependent networks.
[1] ROSATO V, ISSACHAROFF L, TIRITICCO F, et al. Modelling interdependent infrastructures using interacting dynamical models[J]. International Journal of Critical Infrastructure, 2008, 4(1/2): 63-79. [2] MOTTER A E, LAI Y C. Cascade-based attacks on complex networks[J]. Physical Review E, 2003,66(6): 065102. [3] DOU B L, WANG X G, ZHANG S Y. Robustness of networks against cascading failures[J].Physica A: Statistical Mechanics and Its Applications,2010,389(11):2310-2317. [4] 陈世明,庞少鹏,邹小群,等.面向级联失效的加权网络负载容量非线性模型鲁棒性优化[J].控制与决策,2013,28(7):1041-1045. CHEN S M, PANG S P, ZOU X Q, et al. Robust optimization of weighted network load capacity nonlinear model for cascading failure[J]. Control and Decision, 2013, 28(7): 1041-1045. [5] BULDYREV S V, PARSHANI R, PAUL G, et al. Catastrophic cascade of failures in interdependent networks[J]. Nature, 2010, 464(7291): 1025-1028. [6] 张强,曹军海,宋太亮,等.装备保障网络中考虑负载再分配的级联失效分析[J].兵器装备工程学报,2021,42(6):86-90. ZHANG Q, CAO J H, SONG T L, et al. Cascading failure analysis considering load redistribution in equipment support network[J]. Journal of Weapons and Equipment Engineering, 2021,42(6): 86-90. [7] 邢积超,陈楚湘,朱兆梁,等.双层相依网络化指挥信息系统级联失效研究[J].控制与决策,2020,35(12):3017-3025. XING J C, CHEN C X, ZHU Z L, et al. Cascading failure of double layer networked command information system[J]. Control and Decision, 2020, 35(12): 3017-3025. [8] 王超,郭基联,沈安慰.基于不对称依赖的相依网络级联故障分析[J].系统工程与电子技术,2020,42(5):1093-1101. WANG C, GUO J L, SHEN A W, Analysis of cascading failures of interdependent networks based on asymmetric dependency[J]. Systems Engineering and Electronics, 2020, 42(5): 1093-1101. [9] LIU S, YIN C, CHEN D, et al. Modelling and impact analysis of interdependent characteristics on cascading overload failure of syncretic railway networks.[J].PloS One,2020,15(9):e0239096. [10] WANG N, JINN Z Y, ZHAO J. Cascading failures of overload behaviors on interdependent networks[J].Physica A: Statistical Mechanics and Its Applications,2021,574(6):125989. [11] SHEN Y, REN G, ZHANG N, et al. Effects of mutual traffic redistribution on robustness of interdependent networks to cascading failures under fluctuant load[J].Physica A: Statistical Mechanics and Its Applications,2020,560:125138. [12] ARTIME O, DOMENICO M D. Abrupt transition due to non-local cascade propagation in multiplex systems[J]. New Journal of Physics, 2020, 22(9):093035. [13] 余荣斌,蒋沅,严玉为,等.考虑相依边负载的相依网络鲁棒性研究[J].电子科技大学学报,2022,51(5):774-785. YU R B, JIANG Y, YAN Y W, et al. Research on robustness of interdependent networks considering dependent side load[J]. Journal of University of Electronic Science and Technology of China, 2022, 51(5): 774-785. [14] XING Y, Ziyi X, ZHEN Q, et al. Security situation awareness assessment of heterogeneous cyber-physical systems in multiple load mode[J]. Security and Communication Networks,2022(1):1800434. [15] OUNYESIGA L, NDUBUISI S N, JOHN K U, et al. Minimization of electric power losses on 132 kV and 220 kV uganda electricity transmission lines[J]. Energy and Power Engineering,2023,15(2):127-150. [16] GALLI S, SCAGLIONE A, WANG Z. For the grid and through the grid: the role of power line communications in the smart grid[J].Proceedings of the IEEE,2011,99(6):998-1027. [17] ZHANG Y. Cognitive machine-to-machine communications: visions and potentials for the smart grid[J]. IEEE Network: The Magazine of Computer Communications,2012,26(3):6-13. [18] GAO Y L, CHEN S M, ZHOU J, et al. Percolation of edge-coupled interdependent networks[J].Physica A: Statistical Mechanics and Its Applications,2021,580(1):126136. [19] XIE Y F, SUN S W, WANG L, et al. Percolation behavior analysis of weighted edge-coupled interdependent networks[J]. Physics Letters A,2023,483(1):129063. [20] KORKALI M, VENEMAN J G, TIVNAN B F, et al. Reducing cascading failure risk by increasing infrastructure network interdependence[J].Scientific reports,2017,7(1):44499.
