[1] 张家年. 国家安全保障视角下安全情报与战略抗逆力融合研究——伊朗核设施遭“震网病毒”攻击事件的启示[J]. 情报杂志, 2016, 37(2): 8-14.
Zhang Jianian. Research on the fusion of security intelligence and strategic resilience from the perspective of national security assurance-implications of the Stuxnet virus attack on Iranian nuclear facilities[J]. Intelligence, 2016, 37 (2): 8-14.
[2] 安天研究院.广东省电力系统网络安全企业重点实验室. 委内瑞拉大规模停电事件的初步分析与思考启示[J]. 信息安全与通信保密, 2019, 5(1): 28-39.
Antian research institute. Guangdong province power system network security enterprise key laboratory. Preliminary analysis and reflections on large-scale power outage in Venezuela[J]. Information security and communication Privacy, 2019, 5(1): 28-39.
[3] Zhong N S, Zeng G Q. Prevention and treatment of chronic respiratory diseases in China[J]. Chronic Diseases and Translational Medicine, 2019, 5(4): 209-213.
[4] 蒋文君,刘润然,范天龙,等.多层网络级联失效的预防和恢复策略概述[J].物理学报,2020,69(8):81-91.
Jiang Wenjun, Liu Runran, Fan Tianlong, et al. Multilayer network cascade failure prevention and recovery strategy overview[J]. Acta Physica Sinica, 2020,69(8):81-91.
[5] Podobnik B. Predicting the lifetime of dynamic networks experiencing persistent random attacks[J]. Scientific Reports, 2015, 5: 14286.
[6] Zhou D, Elmokashfi A. Network recovery based on system crash early warning in a cascading failure model[J]. Scientific Reports, 2018, 8(1): 7443.
[7] Dabrowski C. Catastrophic event phenomena in communication networks: a survey[J]. Computer Science Review, 2016, 20(18): 10-45.
[8] Zhou J, Yu X H, Lu J A. Node importance in controlled complex networks[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2019, 66(3): 437-441.
[9] Chen B, Wang Z X, Luo C. Integrated evaluation approach for node importance of complex networks based on relative entropy[J]. Journal of Systems Engineering and Electronics, 2016, 27(6): 1219-1226.
[10] 朱军芳, 陈端兵, 周涛, 等. 网络科学中相对重要节点挖掘方法综述[J].电子科技大学学报,2019,48(4):595-612.
Zhu Junfang, Chen Duanbin, Zhou Tao, et al. A review of relatively important node mining methods in network science[J]. Journal of University of Electronic Science and Technology, 2019, 48(4): 595-612.
[11] 任晓龙, 吕琳媛. 网络重要节点排序方法综述[J].科学通报,2014,59(13):1175-1197.
Ren Xiaolong, Lü Linyuan. A review of the ranking methods of network important nodes[J]. Chinese Science Bulletin, 2014, 59 (13): 1175-1197.
[12] 刘建国, 任卓明, 郭强, 等. 复杂网络中节点重要性排序的研究进展[J].物理学报,2013,62(17):9-18.
Liu Jianguo, Ren Zhuoming, Guo Qiang, et al. Research progress on node importance ordering in complex networks[J]. Acta Physica Sinica, 2013, 62(17): 9-18.
[13] 吴舜裕, 许刚. 异质依存网络衰退特征与关键节点辨识[J]. 自动化学报, 2018, 44(5): 953-960.
Wu Shunyu, Xu Gang. Decline characteristics and identification of key nodes in heterogeneous dependent networks[J]. Acta Automatica Sinica, 2008,44(5): 953-960.
[14] Sen A, Mazumder A, Banerjee J, et al. Identification of K most vulnerable nodes in multi-layered network using a new model of interdependency[C] //2014 IEEE Conference on Computer Communications Workshops.Toronto Canada: IEEE,2014: 831-836.
[15] Gong M, Wang Y, Wang S, et al. Enhancing robustness of interdependent network under recovery based on a two-layer protection strategy[J]. Scientific Reports, 2017, 7(1): 12753.
[16] 李烨斌. 复杂网络的重要链接识别方法研究[D].山西:山西大学, 2017.
Li Yebin. Research on important link recognition methods of complex networks[D].Shanxi:Shanxi University, 2017.
[17] 王世锦, 苏思雨, 李海云, 等. 基于PCNC的航路网络拓扑结构鲁棒性优化[J].南京航空航天大学学报, 2019, 51(6):756-762.
Wang Shijin, Su Siyu, Li Haiyun, et al. Robust optimization of route network topology based on PCNC[J]. Journal of Nanjing University of Aeronautics and Astronautics, 2019, 51 (6): 756-762.
[18] Freeman L C. Centrality in social networks conceptual clarification[J]. Social Networks, 1979, 1(3): 215-239.
[19] Lü LY, Zhang Y C, Yeung C H, et al. Leaders in social networks, the delicious case[J]. PLoS One, 2011, 6(6): 1-9.
[20] Chen D, Lü L Y, Shang M S, et al. Identifying influential nodes in complex networks[J]. Physica A, 2012, 391(1): 1777-1787.
[21] Wang J. Robustness of complex networks with the local protection strategy against cascading failures[J]. Safety Science, 2013, 53: 219-225.
[22] 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 Junde, Lao Songyang, Ruan Yirun, et al. Based on the tolerance of node load dependency network robustness study[J]. Journal of Systems Engineering and Electronics, 2017, 33 (11): 2477-2483.
[23] 陈世明, 戴亚明, 程运洪. 提高相依网络鲁棒性的加边策略研究[J]. 电子科技大学学报, 2019, 48(1): 103-109.
Chen Shiming, Dai Yaming, Cheng Yunhong. Study on adding edge strategy to improve the robustness of dependent networks[J]. Journal of University of Electronic Science and Technology, 2019, 48(1): 103-109.
[24] Xiao S, Xiao G X. On imperfect node protection in complex communication networks[J]. Journal of Physics A: Mathematical and Theoretical, 2011, 44(5): 055101.
[25] Zhong J L, Zhang F M, Li Z X. Identification of vital nodes in complex network via belief propagation and node reinsertion[J]. IEEE Access, 2018, 6: 29200-29210.
[26] Chen L, Yue D, Dou C. Optimization on vulnerability analysis and redundancy protection in interdependent networks[J]. Physica A: Statistical Mechanics and its Applications.2019,523(1):1216-1226.
[27] Yuan X, Hu Y Q, Stanley H E, et al. Eradicating catastrophic collapse in interdependent networks via reinforced nodes[J]. Proceedings of the National Academy of Sciences of the United States of America, 2017, 114 (13): 3311-3315.
[28] Gao J X, Buldyrev V S, Stanley H E, et al. Networks formed from interdependent networks[J].Nature Physics, 2012, 8(1): 323-328.
[29] GongM, Ma L, Cai Q, et al. Enhancing robustness of coupled networks under targeted recoveries[J]. Scientific Reports, 2015, 5(1): 22-24.
[30] Huang X, Gao J X, Buldyrev S V, et al. Robustness of interdependent networks under targeted attack[J]. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 2011, 83(6): 065101.
[31] 完颜娟, 韩华, 章鹏, 等. 混合攻击下的网络保护策略研究[J]. 河南科技大学学报(自然科学版).2018,39(4):50-57.
Wan Yanjuan, Han Hua, Zhang Peng, et al. Research on network protection strategy under hybrid attack[J]. Journal of Henan University of Science and Technology (Natural Science Edition). 2018, 39(4): 50-57.
[32] Motter A E. Cascade control and defense in complex networks[J]. Physical Review Letters, 2014, 93(9): 098701.
[33] Pahwa S, Hodges A, Scoglio C, et al. Topological analysis of the power grid and mitigation strategies against cascading failures[C] //Proceedings of the 4th Annual International IEEE Systems Conference, San Diego: IEEE,2011: 11-17.
[34] Shao J, Buldyrev S V, Havlin S, et al. Cascade of failures in coupled network systems with multiple support-dependence relations[J].Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2011, 83(3): 036116.
[35] Schneider C M, Yazdani N, Araújo N A M, et al. Towards designing robust coupled networks[J]. Scientific Reports, 2013, 3(1): 01969.
[36] Zhu W, Liu K, Wang M, et al. Enhancing robustness of metro networks using strategic defense[J]. Physica A: Statistical Mechanics and Its Applications, 2018, 503(1): 1081-1091.
[37] Buldyrev S V, Prarshani R, Stanley H E, et al. Catastrophic cascade of failures in interdependent networks[J]. Nature, 2010, 464: 1025-1028.
[38] 陈世明, 吕辉, 徐青刚, 等. 基于度的正/负相关相依网络模型及其鲁棒性研究[J]. 物理学报, 2015, 64(4): 1-11.
Chen Shiming, Lü Hui, Xu Qinggang, et al. The model of interdependent network based on positive/negative correlation of the degree and its robustness study[J]. Acta Physica Sinica, 2015, 64(4):1-11.
[39] Saulo D R, Hu Y Q, Babino A, et al. Avoiding catastrophic failure in correlated networks of networks[J]. Nature Physics, 2014, 10 (10):762-768.
[40] Hu K, Hu T, Tang Y. Cascade defense via control of the fluxes in complex networks[J]. Journal of Statistical Physics, 2010, 141(3): 555-565.
[41] 侯绿林, 老松杨, 肖延东, 等. 复杂网络可控性研究现状综述[J].物理学报,2015,64(18):481-491.
Hou L L, Lao S Y, Xiao Y D, et al. Review of the research status of controllability of complex networks[J]. Acta Physica Sinica, 2015,64(18):481-491.
[42] Gao J, Buldyrev S V, Havlin S, et al. Robustness of a network of networks[J]. Physical Review Letters, 2011, 107: 195701.
[43] Valdez L D, Macri P A, Braunstein L A. A triple point induced by targeted autonomization on interdependent scale-free networks[J]. Journal of Physics A: Mathematical and Theoretical, 2014, 47: 055002.
[44] Shen A, Guo J, Wang Z. Research on methods for improving robustness of cascading failures of interdependent networks[J]. Wireless Personal Communications, 2017, 95(3): 2111-2126.
[45] Liu C R, Li D Q, Fu B W, et al. Modeling of self-healing against cascading overload failures in complex networks[J]. A Letters Journal Exploring the Frontiers of Physics, 2014, 107(1): 68003.
[46] Nguyen D T, Shen Y, Thai M T. Detecting critical nodes in interdependent power networks for vulnerability assessment[J].IEEE Transactions on Smart Grid, 2013, 4(1): 151-159.
[47] Chi L P, Yang C B, Cai X. Stability of random networks under evolution of attack and repair[J]. Chinese Physics Letters, 2006, 23(1):263-266.
[48] Hu B, Li F. Repair strategies of scale-free networks under multifold attack strategies[J].Systems Engineering and Electronics, 2010, 32(1): 86-89.
[49] Di P, Li F, Hu B. Network-centric warfare model repair strategy research[C] //Proceedings of the 2011 International Conference on Software Engineering and Multimedia Communication. Qingdao, 2010: 42-45.
[50] Sturaro A, Silvestri S, Conti M, et al. Towards a realistic model for failure propagation in interdependent networks[C] //2016 International Conference on Computing, Networking and Communications.Kauai, HI, USA: IEEE, 2016: 21-24.
[51] Ke J, Xin R D, Li X S, et al. Robustness of complex networks: cascading failure mechanism by considering the characteristics of time delay and recovery strategy[J]. Physica A: Statistical Mechanics and Its Applications, 2019, 534(1): 122061.
[52] 李钊,郭燕慧,徐国爱,等.复杂网络中带有应急恢复机理的级联动力学分析[J]. 物理学报,2014,63(15):158901.
Li Zhao, Guo Yanhui, Xu Guoai, et al. Mechanical analysis of stage linkage with emergency recovery mechanism in complex networks[J]. Acta Physica Sinica, 2014, 63(15): 158901.
[53] 唐亮, 焦鹏, 李纪康, 等. 带恢复策略的复杂网络级联失效机理及鲁棒性研究[J].控制与决策,2018,33(10):1841-1850.
Tang Liang, Jiao Peng, Li Jikang, et al. Study on cascade failure mechanism and robustness of complex networks with recovery strategy[J]. Control and Decision-Making, 2018, 33(10):1841-1850.
[54] 李一刚, 王向东. 持续攻击下的无标度网络修复策略研究[J]. 电子设计工程,2017,25(17):81-84.
Li Yigang, Wang Xiangdong. Research on scale-free network repair strategy under continuous attack[J]. Electronic Design Engineering, 2017,25(17): 81-84.
[55] Fu C Q, Wang Y, Gao Y J, et al. Complex networks repair strategies: dynamic models[J]. Physica A, 2017, 482(1): 401-406.
[56] Zhao Y, Qiao C. Enhancing the robustness of interdependent cyber-physical systems by designing the interdependency relationship[C] //2017 IEEE International Conference on Communications.Beijing: IEEE, 2017:1-6.
[57] Rahnamay-Naeini M, Designing cascade-resilient interdependent networks by optimum allocation of interdependencies[C] //Inter-national Conference on Computing, Networking and Communications.Xi′an,Shanxi: IEEE, 2016:1-7.
[58] Sturaro A, Silvestri S, Conti M, et al. Towards a realistic model for failure propagation in interdependent networks[C] //International Conference on Computing, Networking and Communications.Shanghai: ACM, 2016:10-17.
[59] Gao J Z, Yin Y F, Fiondella L, et al. Recovery of coupled networks after cascading failures[J]. Journal of Systems Engineering and Electronics, 2018, 29(3): 650-657.
[60] Di Muro M A, La Rocca C E, Stanley H E, et al. A. Recovery of interdependent networks[J]. Scientific Reports, 2016, 6(1): 22834.
[61] Zhong J L, ZhangF, YangS, et al. Restoration of interdependent network against cascading overload failure[J]. Physica A, 2019, 514: 884-891.
[62] Shunsuke W, Yoshiyuki K. Cavity-based robustness analysis of interdependent networks: influences of intranetwork and internetwork degree-degree correlations[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2014, 89 (1): 012808.
[63] Kyu-Min L, Jung Y K, Wonkuk C, et al. Correlated multiplexity and connectivity of multiplex random networks[J]. Computer Science, 2011, 14(3): 033027.
[64] Byungjoon M, Su D Y, Kyu-Min L, et al. Network robustness of multiplex networks with interlayer degree correlations[J].Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2014, 89(4): 042811.
[65] Li M, Liu R R, Jia C X, et al. Critical effects of over-lapping of connectivity and dependence links on percolation of networks[J]. Computer Science, 2013, 15(9): 093013.
[66] Gareth J B, Ginestra B, Rui A C, et al. Correlated edge overlaps in multiplex networks[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2016, 94(1):012303.
[67] Byungjoon M, Sangchul L, Lee K M, et al. Link overlap, viability, and mutual percolation in multiplex networks[J]. Chaos, Solitons and Fractals, 2015, 72(1): 49-58.
[68] Wang Z X, Zhou D, Hu Y Q. Group percolation in interdependent networks[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2018, 97(3): 032306.
[69] Hu Y Q, Zhou D, Zhang R, et al. Percolation of interdependent networks with inter similarity[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics,2013, 88(5): 052805.
[70] Yehiel B, Amir B, Michael M D, et al. Spatially localized attacks on interdependent networks: the existence of a finite critical attack size[J]. Scientific Reports, 2015, 5(1): 8934.
[71] Li W, Amir B, Sergey V B, et al. Cascading failures in interdependent lattice networks: the critical role of the length of dependency links[J]. Physical Review Letters, 2012, 108(22): 228702.
[72] Dong G G, Fan J F, Louis M S, et al. Resilience of networks with community structure behaves as if under an external field[J]. Proceedings of the National Academy of Sciences of the United States of America, 2018, 115(27): 6911-6915.
[73] Sun J C, Zhang R, Feng L,et al. Extreme risk induced by communities in interdependent networks[J]. Communications Physics, 2019, 2(1):50-57.
[74] La Rocca E, Stanley E, Braunstein A. Strategy for stopping failure cascades in interdependent networks[J]. Physica A: Statistical Mechanics and Its Applications, 2018, 508: 577-583.
[75] Yu H F, Yang C X. Partial network recovery to maximize traffic demand[J]. IEEE Communications Letters, 2011, 15(12):1388-1394.
[76] Mitra C, Kittel T, Choudhary A, et al. Recovery time after localized perturbations in complex dynamical networks[J]. New Journal of Physics, 2017, 19(10):1201-1212.
[77] Hu F Y, Yeung C H, Yang S, et al. Recovery of infrastructure networks after localized attacks[J]. Scientific Reports, 2016, 15(6):24522.
[78] Gao J X, Buldyrev S V, Stanley H E, et al. Networks formed from interdependent network[J]. Nature Physics, 2012, 8(1) :40-48.
[79] Gao J X, Buldyrev S V, Havlin S, et al. Robustness of a network of networks[J]. Physical Review Letters, 2011, 107(1): 195701.
[80] Hong S L, Zhao C, Wang T D, et al. Cascading failure analysis and restoration strategy in an interdependent network[J]. Journal of Physics A: Mathematical and Theoretical, 2016, 49(19): 95101.
[81] Hong S, Zhu J X, Braunstein L A, et al. Cascading failure and recovery of spatially interdependent networks[J]. Journal of Statistical Mechanics: Theory and Experiment, 2017, (10): 103208.
[82] Fu C Q, Ying W, Zhao K, et al. Complex networks under dynamic repair model[J]. Physica A, 2018, 490(1): 323-330.
[83] Fu C Q, Wang Y, Wang X. Research on complex networks’ repairing characteristics due to cascading failure[J]. Physica A, 2017, 482(1): 317-324.
[84] Shang Y L. Localized recovery of complex networks against failure[J]. Scientific Reports, 2016, 6(1): 30521.
[85] Sun W, Zeng A. Target recovery in complex networks[J]. European Physical Journal B, 2017, 90(1): 25-30.
[86] Pourvali M, Liang K, Gu F, et al. Progressive recovery for network virtualization after large-scale disasters[C] //2016 International Conference on Computing, Networking and Communications.Kauai, HI, USA: IEEE, 2016: 10-15.
[87] Zhao Y, Pithapur M, Qiao C. On progressive recovery in interde-pendent cyber physical systems[C] //2016 IEEE Global Communications Conference. Beijing: IEEE, 2016: 10-16.
[88] Majdandzic A, Braunstein L A, Curme C, et al. Multiple tipping points and optimal repairing in interacting networks[J]. Nature Communications, 2016, 7(2): 10850.
[89] 吴佳键, 龚凯, 王聪, 等. 相依网络上基于相连边的择优恢复算法[J]. 物理学报. 2018, 67(8): 296-307.
Wu Jiajian, Gong Kai, Wang Cong, et al. Optimal recovery algorithm based on adjacent edges in dependent networks[J]. Acta Physica Sinica, 2018, 67(8): 296-307.
[90] Majdandzic A, Podobnik B, Buldyrev S V, et al. Spontaneous recovery in dynamical networks[J]. Nature Physics, 2014, 10(1):34-38.
[91] Min O Y, Wang Z H. Resilience assessment of interdependent infrastructure systems: with a focus on joint restoration modeling and analysis[J]. Reliability Engineering and System Safety, 2015, 141(15), 74-82.
[92] Zhang W, Wang N, Nicholson C. Resilience-based post disaster recovery strategies for road-bridge networks[J]. Structure and Infrastructure Engineering: Maintenance, Management, Life-Cycle Design and Performance, 2017, 13(1):1404-1413.
[93] Afrin T, Yodo N. A concise survey of advancements in recovery strategies for resilient complex networks[J]. Journal of Complex Networks, 2019, 7(3): 393-420.
[94] Afrin T, Yodo N. Resilience-based recovery assessments of networked infrastructure systems under localized attacks[J]. Infrastructures, 2019, 4(1): 11.
[95] 许寅,和敬涵,王颖, 等. 韧性背景下的配网故障恢复研究综述及展望[J].电工技术学报,2019,34(16):3416-3429.
Xu Yan, He Jinghan, Wang Ying, et al. Review and prospect of fault recovery in distribution network under the background of toughness[J]. Journal of Electrotechnics, 2019,34(16): 3416-3429.
[96] Pan X, Wang H X. Resilience of and recovery strategies for weighted networks[J]. PLoS One, 2018,13(9): 1-15.
[97] Wang J, Liu H. Snow removal resource location and allocation optimization for urban road network recovery: a resilience perspective[J]. Journal of Ambient Intelligence and Humanized Computing, 2019,10(1):395-408.
[98] Stippinger M, Kertsz J, Enhancing resilience of interdependent networks by healing[J]. Physical A: Statistical Mechanics and its Applications, 2014, 416(1): 481-487.
[99] 史定华. 网络优化—复杂网络设计问题:寻找最佳的网络结构[J]. 电子科技大学学报, 2013,42(1): 5-6.
Shi Dinghua. Network optimization-complex network design problem: finding the best network structure[J]. Journal of University of Electronic Science and Technology, 2013, 42(1):5-6.
[100] Gerald P, Sameet S, Shlomo H. et al. Optimization of network robustness to random breakdowns[J]. Physica A, 2006, 370(2): 854-862.
[101] Liu J G, Wang Z T, Dang Y Z. Optimization of scale-free network for random failures[J]. Modern Physics Letters B, 2006, 20(14):815-820.
[102] Wang B, Tang H W, Guo C H, et al. Entropy optimization of scale-free networks robustness to random failures[J]. Physica A, 2005, 363(1): 591-596.
[103] Solé R V, Alverde S V. Information theory of complex networks: on evolution and architectural constraints[J]. Lect Notes Phys, 2004, 650(1):189-207.
[104] Zhou D, Stanley E, Agostino G D, et al. Assortative decreases the robustness of interdependent networks[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2012, 86(6): 066103.
[105] Wang J, Jiang C, Qian J, Robustness of interdependent networks with different link patterns against cascading failures[J]. Physica A, 2014, 393 (1): 535-541.
[106] Buldyrev S V, Shere N W, Cwilich G A. Interdependent networks with identical degrees of mutually dependent nodes[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2011, 83(1): 016112.
[107] Cao X B, Hong C, Du W B, et al. Improving the network robustness against cascading failures by adding links[J]. Chaos Solitons Fractals, 2013, 57 (4): 35-40.
[108] Jiang Z, Liang M, Guo D. Enhancing network performance by edge addition[J].International Journal of Modern Physics. C, 2012, 22 (22): 1211-1226.
[109] Beygelzimer A, Grinstein G, Linsker R, et al. Improving network robustness by edge modification[J]. Physica A, 2005, 357(3): 593-612.
[110] Ali R, Scoglio A, Caterina M, et al. Optimizing algebraic connectivity by edge rewiring[J]. Applied Mathematics and Computation, 2015, 219(10): 5465-5479.
[111] Ji X, Wang B, Liu D, et al. Improving interdependent networks robustness by adding connectivity links[J]. Physica A, 2016, 444(1): 9-19.
[112] Cui P S, Zhu P D, Wang K, et al. Enhancing robustness of interdependent network by adding connectivity and dependence links[J]. Physica A, 2018, 497(1): 185-197.
[113] 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): D48701.
[114] Valdez L D, Macri P A, Stanley H E, et al. Triple point in correlated interdependent networks[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2013, 88(2): 050803.
[115] Chatto S, Dai H, Eun D Y, et al. Designing optimal interlink patterns to maximize robustness of interdependent networks against cascading failures[J]. IEEE Transactions on Communications, 2017, 65(9):3847-3862.
[116] Zhou D, Stanley H E, et al. Assortativity decreases the robustness of interdependent networks[J]. Physical Review E, 2012, 86(2): 066103.
[117] Tan F, Xia Y X, Wang W P, et al. Cascading failures of loads in interconnected networks under intentional attack[J]. Europhysics Letters, 2013, 102(2): 28009.
[118] Parshani R, Rozenblat C, Ietri D, et al. Inter-similarity between coupled networks[J]. Europhysics Letters, 2011, 92(6): 68002.
[119] Korkali M. Reducing cascading failure risk by increasing infrastructure network interdependence[J]. Scientific Reports, 2017, 7(1): 44499.
[120] Wang X, Cao J, Li R, et al. A preferential attachment strategy for connectivity link addition strategy in improving the robustness of interdependent networks[J]. Physica A: Statistical Mechanics and Its Applications, 2017, 483(1): 412-422.
[121] Yagan O, Qian D J, Zhang J S, et al. Optimal allocation of interconnecting links in cyber-physical systems: Interdependence, cascading failures, and robustness[J]. IEEE Transactions on Parallel and Distributed Systems. 2012, 23(2):1708-1720.
[122] Cheng Z, Cao J. Cascade of failures in interdependent networks coupled by different type networks[J]. Physica A: Statistical Mechanics and its Applications, 2015, 430(8): 193-200.
[123] Rahnamay N M. Designing cascade-resilient interdependent networks by optimum allocation of inter-dependencies[C] //2016 Inter-national Conference on Computing, Networking and Communications. Kauai, HI, USA: IEEE, 2016: 1-7.
[124] Yu S. Analysis of robustness of complex networks based on optimization theory[C] //Proceedings of Joint International Information Technology, Mechanical and Electronic Engineering Conference. Shaanxi, Xian, China: ACM,2016:222-232.
[125] Schneider C M, Moreira A A, Andrade J S, et al. Mitigation of malicious attacks on networks[J]. Proceedings of the National Academy of Sciences of the United States of America, 2011, 108(10):3838.
[126] Zhou M, Liu J. A memetic algorithm for enhancing the robustness of scale free networks against malicious attacks[J]. Physica A: Statistical Mechanics and Its Applications, 2014, 410: 131-133.
[127] Wu T, Wu J, You W. Optimizing robustness of complex networks with heterogeneous node functions based on the Memetic Algorithm[J]. Physica A: Statistical Mechanics and Its Applications, 2018, 511:143-153.
[128] Nguyen D T, Shen Y L, Thai M T. Detecting critical nodes in interdependent power networks for vulnerability assessment[J]. IEEE Transactions on Smart Grid, 2013, 4(1): 151-159.
[129] 李政. 基于多目标进化算法优化网络鲁棒性的研究[D].陕西:西安电子科技大学,2018.
Li Zheng. Research on network robustness optimization based on multi-objective evolutionary algorithm[D]. Shaanxi: Xidian University, 2018.
[130] Matisziw T C, Murray A T, Grubesic T H. Strategic network restoration[J]. Newt Spatial Econ, 2010, 10: 345-361.
[131] 唐向龙. 基于进化算法的复杂网络鲁棒性优化与分析[D].陕西:西安电子科技大学,2017.
Tang Xianglong. Optimization and analysis of complex network robustness based on evolutionary algorithm[D]. Shaanxi: Xidian University, 2017.
[132] Zhu Q, Zhu Z, Qi Y, et al. Optimization of cascading failure on complex network based on NNIA[J]. Physica A, 2018, 501: 42-51.
[133] 吴贤国,黄艳华,张立茂,等.地铁线网抗毁性优化分析[J].中国安全科学学报,2015,25(12):87-92.
Wu Xianguo, Huang Yanhua, Zhang Limao, et al. Optimization analysis of destruction resistance of subway network[J]. China Safety Science Journal, 2015,25(12): 87-92.
[134] Senel F, Younis M. Relay node placement in structurally damaged wireless via triangular steiner tree approximation[J]. Computer Communications, 2011, 34(16): 1932-1941.
[135] Mi Z, Yang Y. Connectivity restorability of mobile ad hoc sensor network based neighbor information[C] // 2011 IEEE International Conference.Kyoto: IEEE, 2011: 21-25.
[136] Lee S, Younis M. Optimized relay placement to federate segments in wireless sensor networks[J]. IEEE Journal on Selected Areas in Communications, 2010, 28(5): 742-752.
[137] 邓青, 薛青, 陈琳, 等. 基于作战系统复杂网络抗毁性优化研究[J]. 计算机仿真, 2019, 36(6): 1-4.
Deng Qing, Xue Qing, Chen Lin, et al. Research on damage resistance optimization based on complex network of combat system[J]. Computer Simulation, 2019, 36(6): 1-4.
[138] 史文博, 刘东, 杨博文.基于链路重构策略的网络抗毁性优化研究[J].计算机技术与发展, 2020, 30(5): 6-9.
Shi Wenbo, Liu Dong, Yang Bowen. Research on network invulnerability optimization based on link reconfiguration strategy[J]. Computer Technology and Development,2020, 30(5): 6-9.
[139] 田旭光, 朱元昌, 邸彦强. 复杂网络抗毁性优化问题的研究[J]. 系统科学学报, 2014,22(1): 60-66.
Tian Xuguang, Zhu Yuanchang, Di Yanqiang. Research on destructiveness optimization of complex networks[J]. Journal of Systems Science, 2014, 22(1): 60-66.
[140] 马金龙. 复杂网络信息容量优化策略研究[D]. 黑龙江:哈尔滨工业大学, 2016.
Ma Jinlong. Research on optimization strategy of complex network information capacity[D]. Heilongjiang: Harbin Institute of Technology, 2016.
[141] 程运洪. 相依网络的鲁棒性优化研究[D]. 江西:华东交通大学,2018.
Cheng Yunhong. Research on robustness optimization of dependency network[D]. Jiangxi: East China Jiaotong University, 2018.
[142] 郭迟. 基于复杂网络的Internet脆弱性研究[D]. 湖北:武汉大学, 2010.
Guo Chi. Research on Internet vulnerability based on complex network[D]. Hubei: Wuhan University, 2010.
[143] 李勇, 吕欣, 谭跃进. 基于级联失效的战域保障网络节点容量优化[J]. 复杂系统与复杂性科学, 2009, 6(1): 70-75.
Li Yong, Lu Xin, Tan Yuejin. Node capacity optimization of war domain security network based on cascade failure[J]. Complex Systems and Complexity Science, 2009, 6(1): 70-75.
[144] 濮存来, 裴文江. 一种应用于含权无标度网络的全局路由算法[J]. 物理学报, 2010, 59(6): 3841-3845.
Pu Cunlai, Pei Wenjiang. A global routing method for weighted scale-free networks[J]. Acta Physica Sinica, 2010, 59(6): 3841-3845.
[145] Lin C K, Wang M C, Guo L L, et al. Shortest routing algorithm based on target node in mesh network with faulty area[J]. Computer Science, 2017, 44(Z6): 252-257.
[146] Ryan T W, Jewgeni H D. Characterizations of random walks on random lattices and their ramifications[J]. Stochastic Analysis and Applications, 2020, 38(2): 307-342.
[147] 文宏, 樊晓平, 张会福, 等. 无标度网络局部路由算法优化与设计[J]. 湖南大学学报(自然科学版), 2014, 41(10): 122-128.
Wen Hong, Fan XiaoPing, Zhang Huifu, et al. Optimization and design of scale-free network local routing algorithm[J]. Journal of Hunan University (Natural Science Edition), 2014,41(10): 122-128.
[148] Dong J Q, Huang Z G, Zhou Z, et al. Enhancing transport efficiency by hybrid routing strategy[J]. Europhysics Letters, 2012, 99(2): 20007.
[149] 陈留情. 基于复杂网络的信息流传输优化研究[D].北京:北京邮电大学, 2016.
Chen Liuqing. Research on optimization of information flow transmission based on complex network[D]. Beijing: Beijing University of Posts and Telecommunications, 2016.
[150] 李世宝, 娄琳琳, 陈瑞祥, 等. 一种复杂网络路由策略的普适优化算法[J]. 物理学报, 2014, 63(2): 425-431.
Li Shibao, Lou Linlin, Chen Ruixiang, et al. A pervasive optimization algorithm for complex network routing strategies[J]. Acta Physica Sinica, 2014, 63(2): 425-431.
[151] Zhang X G, Mahadevan S, Sankararaman S, et al. Resilience-based network design under uncertainty[J]. Reliability Engineering and System Safety, 2018, 169:364-379.[152] Yasser A, Barker K, Albert L A. Resilience-driven restoration model for interdependent infrastructure networks[J]. Reliability Engineering and System Safety, 2019, 185: 12-23.
[153] Li Z L, Jin C, Hu P, et al. Resilience-based transportation network recovery strategy during emergency recovery phase under uncertainty[J]. Reliability Engineering and System Safety, 2019,188(1): 503-514.
[154] Sun C, Hu G, Xie L. Controllability of multi-agent networks with antagonistic interactions[J]. IEEE Transactions on Automatic Control, 2017, 62(10): 5457-5462.
[155] Cheng Z S, Xin Y M, Cao J D, et al. Selecting pinning nodes to control complex networked systems[J]. Science China (Technological Sciences), 2018, 61(10): 1537-1545.
[156] Haghighi R, Cheah C. Topology-based controllability problem in network systems[J]. IEEE Transactions on Systems Man and Cybernetics Systems, 2017, 47(11): 3077-3088.
[157] Liang J, Chen H, Lam J. An improved criterion for controllability of boolean control networks[J]. IEEE Transactions on Automatic Control, 2017, 62(11): 6012-6018.
[158] 武雅芳. 相依局域网络的结构脆弱性分析及网络可控性优化研究[D].天津:天津理工大学, 2018.
Wu Yafang. Dependency structure of the local area network and network vulnerability analysis controllability optimization research[D]. Tianjin: Tianjin University of Technology, 2018.
[159] Deng M, Gong Y, Deng L, et al. Research on controllability in failure-recovery process of dynamic networks[C] //The 8th International Conference on Computer Engineering and Networks. Beijing, China: Springer, 2018: 223-237.
