Systems Engineering and Electronics ›› 2020, Vol. 42 ›› Issue (5): 1093-1101.doi: 10.3969/j.issn.1001-506X.2020.05.16
Previous Articles Next Articles
Chao WANG1(
), Jilian GUO1(
), Anwei SHEN2(
)
Received:2019-08-15
Online:2020-04-30
Published:2020-04-30
Supported by:CLC Number:
Chao WANG, Jilian GUO, Anwei SHEN. Analysis of cascading failures of interdependent networks based on asymmetric dependency[J]. Systems Engineering and Electronics, 2020, 42(5): 1093-1101.
Table 1
Load allocation of BA-BA interdependent network after intentional attack"
| 序号 | 网络A | 网络B | |||||
| 初始负载 | 最终负载 | 超载比例 | 初始负载 | 最终负载 | 超载比例 | ||
| 1 | 199 | - | - | 126 | - | - | |
| 2 | 173 | - | - | 97 | - | - | |
| 3 | 186 | - | - | 163 | - | - | |
| 4 | 56 | - | - | 202 | 341 | 69% | |
| 5 | 136 | 208 | 53% | 53 | 63 | 19% | |
| 6 | 100 | 152 | 52% | 170 | 265 | 56% | |
| 7 | 53 | 74 | 40% | 152 | - | - | |
| 8 | 131 | 218 | 66% | 164 | 277 | 69% | |
| 9 | 102 | 156 | 53% | 85 | 96 | 13% | |
| 10 | 100 | 152 | 52% | 178 | 277 | 56% | |
Table 2
Adjacency matrix of information investigation network"
| 节点序号 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 2 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 |
| 3 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 |
| 4 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
| 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 7 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 8 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 9 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 10 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 11 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 12 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 13 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 14 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Table 3
Adjacency matrix of combat network"
| 节点序号 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 |
| 15 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
| 16 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 17 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 18 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 19 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 |
| 20 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 21 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 22 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 23 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 |
| 24 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
| 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
| 26 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
Table 4
Initial load and distribution of nodes in equipment operation network"
| 信息侦察网络 | 火力打击网络 | |||||||
| 节点序号 | 初始负载 | 最终负载 | 增加比例/% | 节点序号 | 初始负载 | 最终负载 | 增加比例/% | |
| 1 | 340 | 455.35 | 33.93 | 14 | 40 | 40.00 | 0.00 | |
| 2 | 380 | — | — | 15 | 220 | 315.33 | 43.33 | |
| 3 | 300 | 401.78 | 33.93 | 16 | 40 | 40.00 | 0.00 | |
| 4 | 160 | 214.28 | 33.93 | 17 | 40 | 40.00 | 0.00 | |
| 5 | 40 | 40.00 | 0.00 | 18 | 40 | 40.00 | 0.00 | |
| 6 | 40 | 40.00 | 0.00 | 19 | — | — | — | |
| 7 | 80 | 107.14 | 33.93 | 20 | 40 | 57.33 | 43.33 | |
| 8 | 40 | 53.57 | 33.93 | 21 | 40 | 57.33 | 43.33 | |
| 9 | 40 | 53.57 | 33.93 | 22 | 40 | 57.33 | 43.33 | |
| 10 | 80 | 107.14 | 33.93 | 23 | 260 | 372.66 | 43.33 | |
| 11 | 80 | 107.14 | 33.93 | 24 | 40 | 40.00 | 0.00 | |
| 12 | 40 | 40.00 | 0.00 | 25 | 40 | 40.00 | 0.00 | |
| 13 | 40 | 40.00 | 0.00 | 26 | 40 | 40.00 | 0.00 | |
| 1 | WATTS D J , STROGATZ S H . Co1lective dynamics of "small-world" networks[J]. Nature, 1998, 393 (6684): 440- 442. |
| 2 | BARABASI A L , ALBERT R . Emergence of scaling in random networks[J]. Science, 1999, 286 (5439): 509- 512. |
| 3 | PETERS K , BUZNA L , HELBING D . Modelling of cascading effects and efficient response to disaster spreading in complex networks[J]. International Journal of Critical Infrastructures, 2008, 4 (1/2): 46- 62. |
| 4 | HINES P D H, REZAEI P. Cascading failures in power systems[M]//Smart Grid Handbook. New York: Wiley, 2016: 10.1002/9781118755471.sgd035. |
| 5 | MA X, MA F. The research on cascading failure of fareynetwork[C]//Proc.of the International Conference of Pioneering Computer Scientists, Engineers and Educators, 2017: 400-411. |
| 6 | HONG S , LV C , ZHAO T , et al. Cascading failure analysis and restoration strategy in an interdependent network[J]. Journal of Physics A: Mathematical and Theoretical, 2016, 49 (19): 195101. |
| 7 | WANG J , SUN E , XU B , et al. Abnormal cascading failure spreading on complex networks[J]. Chaos, Solitons & Fractals, 2016, 91, 695- 701. |
| 8 | DI MURO M A , BULDYREV S V , STANLEY H E , et al. Cascading failures in interdependent networks with finite functional components[J]. Physical Review E, 2016, 94 (4): 042304. |
| 9 | ZHANG X J , GU B , GUAN X M , et al. Cascading failure in scale-free networks with tunable clustering[J]. International Journal of Modern Physics C, 2016, 27 (8): 1650093. |
| 10 | KORKALI M , VENEMAN J G , TIVNAN B F , et al. Erratum: reducing cascading failure risk by increasing infrastructure network interdependence[J]. Scientific Reports, 2018, 8, 46959. |
| 11 | ZHOU D , ELMOKASHFI A . Network recovery based on system crash early warning in a cascading failure model[J]. Scientific reports, 2018, 8 (1): 7443. |
| 12 | WANG J B , YANG N D , ZHANG Y L , et al. Development of the mitigation strategy against the schedule risks of the R & D project through controlling the cascading failure of the R & D network[J]. Physica A: Statistical Mechanics and its Applications, 2018, 508, 390- 401. |
| 13 | WANG Z , HILL D J , CHEN G , et al. Power system cascading risk assessment based on complex network theory[J]. Physica A: Statistical Mechanics and its Applications, 2017, 482, 532- 543. |
| 14 | RENGER R , FOLTYSOVA J , IENUSO S , et al. Evaluating system cascading failures[J]. Evaluation Journal of Australasia, 2017, 17 (2): 29- 36. |
| 15 | TURALSKA M , BURGHARDT K , ROHDEN M , et al. Cascading failures in scale-free interdependent networks[J]. Physical Review E, 2019, 99 (3): 032308. |
| 16 | HAN Y Q , GUO C X , MA S Y , et al. Modeling cascading failures and mitigation strategies in PMU based cyber-physical power systems[J]. Journal of Modern Power Systems and Clean Energy, 2018, 6 (5): 944- 957. |
| 17 | LIANG T , KE J , JIE H , et al. Robustness of assembly supply chain networks by considering risk propagation and cascading failure[J]. Physica A: Statistical Mechanics and its Applications, 2019, 459, 129- 139. |
| 18 | ZHAO J , LI D , SANHEDRAI H , et al. Spatio-temporal propagation of cascading overload failures in spatially embedded networks[J]. Nature Communications, 2016, 7, 10094. |
| 19 | QIAN Y , WANG B , XUE Y , et al. A simulation of the cascading failure of a complex network model by considering the characteristics of road traffic conditions[J]. Nonlinear Dynamics, 2015, 80 (1/2): 413- 420. |
| 20 | HAES A H , HAMEDANI-GOLSHAN M E , NJENDA T C , et al. A survey on power system blackout and cascading events: research motivations and challenges[J]. Energies, 2019, 12 (4): 10. |
| 21 | BULDYREV S V , PARSHANI R , PAUL G , et al. Catastrophic cascade of failures in interdependent networks[J]. Nature, 2010, 464 (7291): 1025- 1028. |
| 22 | PARSHANI R , BULDYREV S V , HAVLIN S . Interdependent networks: reducing the coupling strength leads to a change from a first to second order percolation transition[J]. Physical Review Letters, 2010, 105 (4): 048701. |
| 23 | CHENG Z S , CAO J D . Cascade of failures in interdependent networks coupled by different type networks[J]. Physica A: Statistical Mechanics and its Applications, 2015, 430, 193- 200. |
| 24 | 彭兴钊, 姚宏, 杜军, 等. 负荷作用下相依网络中的级联故障[J]. 物理学报, 2015, 64 (4): 355- 362. |
| PENG X Z , YAO H , DU J , et al. Load-induced cascading failure in interdependent network[J]. Acta PhysicaSinica, 2015, 64 (4): 355- 362. | |
| 25 | RAHNAMAY N M , HAYAT M . Cascading failures in interdependent infrastructures: an interdependent Markov-chain approach[J]. IEEE Trans.on Smart Grid, 2016, 7 (4): 1997- 2006. |
| 26 | WANG F , TIAN L X , DU R J , et al. The robustness of interdependent weighted networks[J]. Physica A: Statistical Mechanics and its Applications, 2018, 508, 675- 680. |
| 27 | GAO Y L , CHEN S M , NIE S , et al. Robustness analysis of interdependent networks under multiple-attacking strategies[J]. Physica A: Statistical Mechanics and its Applications, 2017, 496, 495- 504. |
| 28 | 王竣德, 老松杨, 阮逸润, 等. 基于节点负载容忍度的相依网络鲁棒性研究[J]. 系统工程与电子技术, 2017, 39 (11): 2477- 2483. |
| WANG J D , LAO S Y , RUAN Y R , et al. Research on robustness of interdependent networks based on load tolerance of nodes[J]. Systems Engineering and Electronics, 2017, 39 (11): 2477- 2483. | |
| 29 | THAPA M , ESPEJO-URIBE J , POURNARAS E . Measuring network reliability and repairability against cascading failures[J]. Journal of Intelligent Information Systems, 2019, 52 (3): 573- 594. |
| 30 | TURALSKA M , BURGHARDT K , ROHDEN M , et al. Cascading failures in scale-free interdependent networks[J]. Physical Review E, 2019, 99 (3): 032308. |
| 31 | HAN H Y, YANG R N. Improvement on load-induced cascading failure in asymmetrical interdependent networks: modeling and analysis[EB/OL].[2019-12-31]. https://www.hindawi.com/journals/mpe/2015/194568/. |
| 32 | LI M , LIU R R , JIA C X , et al. Cascading failures on networks with asymmetric dependence[J]. Europhysics Letters, 2014, 108 (5): 56002. |
| 33 | WANG J W , RONG L L . A model for cascading failure in scale free networks with a break down probability[J]. Physica A: Statistical Mechanics and its Applications, 2009, 388, 1289- 1298. |
| [1] | Haoyang LI, Jianjun XIANG, Fang PENG, Shuai WANG, Zhijun LI. Beam space generalized sidelobe canceller algorithm based on particle swarm optimization [J]. Systems Engineering and Electronics, 2022, 44(10): 3037-3045. |
| [2] | Zhirou YANG, Hu ZHANG, Jing LIU, Tonglin LIU. Optimization algorithm of military communication network structure under node attack strategy [J]. Systems Engineering and Electronics, 2021, 43(7): 1848-1855. |
| [3] | Ang LI, Dangmin NIE, Xiangxi WEN, Zekun WANG, Chengxiu YANG. Operation situation assessment of control system based on interdependent network and SVM [J]. Systems Engineering and Electronics, 2021, 43(5): 1287-1294. |
| [4] | Zhe WANG, Jianhua LI, Dong KANG. Robustness of two-layer heterogeneous interdependent network model for networked information system of system [J]. Systems Engineering and Electronics, 2021, 43(4): 961-969. |
| [5] | Jia LIU, Kewei YANG, Jiang JIANG, Boyuan XIA. Parameter estimation method of equipment system based on multi-fidelity surrogate model [J]. Systems Engineering and Electronics, 2021, 43(1): 130-137. |
| [6] | Qiao CHEN, Ningning TONG, Xiaowei HU, Shanshan DING. Non-ideal orthogonal waveforms imaging of MIMO radar based on multiple measurement vector block sparse algorithm [J]. Systems Engineering and Electronics, 2020, 42(12): 2747-2754. |
| [7] | CHEN Wu, FAN Mingkai, LI Zehong, JIN Xin, HONG Liang. Design of network robustness for drone swarm system [J]. Systems Engineering and Electronics, 2019, 41(11): 2633-2640. |
| [8] | TANG Shuai, DA Lianglong, LI Yuyang, HAN mei, FAN Peiqin. Research on signal-level simulation technology of underwater operational experiment complex sonar system [J]. Systems Engineering and Electronics, 2018, 40(7): 1646-1653. |
| [9] | LI Zhe, XU Haojun, XUE Yuan, PEI Binbin, LYU Hanyang. Distributed simulation method for man-machine-environment complex system under icing condition [J]. Systems Engineering and Electronics, 2018, 40(5): 1167-1174. |
| [10] | WANG Ershen, WANG Yuwei, QU Pingping, LAN Xiaoyu, CHEN Jiamei. Effectiveness analysis of complex network edge attack strategy with cost [J]. Systems Engineering and Electronics, 2018, 40(4): 919-926. |
| [11] | XU Qiuping, WANG Xugang, WANG Zhongyuan. Design of attitude decoupling controller for gliding guided projectile based on active disturbance rejection control [J]. Systems Engineering and Electronics, 2018, 40(2): 384-392. |
| [12] | HAO Yucheng, LI Chengbing, WEI Lei. Cascading failure model of complex networks considering overloaded nodes [J]. Systems Engineering and Electronics, 2018, 40(10): 2282-2287. |
| [13] | SI Guangya, WANG Fei, LI Cong, ZHANG Yu. Robustness assessment method for armament system of systems based on measuring of interaction network [J]. Systems Engineering and Electronics, 2017, 39(7): 1506-1512. |
| [14] | KANG Wenwen, LI Haomin, TANG Chao, ZHANG Xinai. Cloud knowledge platform for complex system design [J]. Systems Engineering and Electronics, 2017, 39(5): 1078-1084. |
| [15] | CUI Wenyan, MENG Xiangru, KANG Qiaoyan, LI Jizhen. Optimization of cascading invulnerability on weighted complex networks based on composite edge weight model [J]. Systems Engineering and Electronics, 2017, 39(2): 355-361. |
| Viewed | ||||||
|
Full text |
|
|||||
|
Abstract |
|
|||||