IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v444y2016icp9-19.html
   My bibliography  Save this article

Improving interdependent networks robustness by adding connectivity links

Author

Listed:
  • Ji, Xingpei
  • Wang, Bo
  • Liu, Dichen
  • Chen, Guo
  • Tang, Fei
  • Wei, Daqian
  • Tu, Lian

Abstract

Compared with a single and isolated network, interdependent networks have two types of links: connectivity link and dependency link. This paper aims to improve the robustness of interdependent networks by adding connectivity links. Firstly, interdependent networks failure model and four frequently used link addition strategies are briefly reviewed. Furthermore, by defining inter degree–degree difference, two novel link addition strategies are proposed. Finally, we verify the effectiveness of our proposed link addition strategies by comparing with the current link addition strategies in three different network models. The simulation results show that, given the number of added links, link allocation strategies have great effects on the robustness of interdependent networks, i.e., the double-network link allocation strategy is superior to single-network link allocation strategy. Link addition strategies proposed in this paper excel the current strategies, especially for BA interdependent networks. Moreover, our work can provide guidance on how to allocate limited resources to an existing interdependent networks system and optimize its topology to avoid the potential cascade failures.

Suggested Citation

  • Ji, Xingpei & Wang, Bo & Liu, Dichen & Chen, Guo & Tang, Fei & Wei, Daqian & Tu, Lian, 2016. "Improving interdependent networks robustness by adding connectivity links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 9-19.
    • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:9-19
    DOI: 10.1016/j.physa.2015.10.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115008560
    Download Restriction: 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
    File URL: https://libkey.io/10.1016/j.physa.2015.10.010?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jia, Tao & Qin, Kun & Shan, Jie, 2014. "An exploratory analysis on the evolution of the US airport network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 266-279.
    2. Wang, Kai & Zhang, Bu-han & Zhang, Zhe & Yin, Xiang-gen & Wang, Bo, 2011. "An electrical betweenness approach for vulnerability assessment of power grids considering the capacity of generators and load," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4692-4701.
    3. Shuang, Qing & Zhang, Mingyuan & Yuan, Yongbo, 2014. "Node vulnerability of water distribution networks under cascading failures," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 132-141.
    4. Cárdenas, J.P. & Mouronte, M.L. & Moyano, L.G. & Vargas, M.L. & Benito, R.M., 2010. "On the robustness of Spanish telecommunication networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4209-4216.
    5. Guan, Zhi-Hong & Chen, Long & Qian, Tong-Hui, 2011. "Routing in scale-free networks based on expanding betweenness centrality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 1131-1138.
    6. Beygelzimer, Alina & Grinstein, Geoffrey & Linsker, Ralph & Rish, Irina, 2005. "Improving network robustness by edge modification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(3), pages 593-612.
    7. Alessandro Vespignani, 2010. "The fragility of interdependency," Nature, Nature, vol. 464(7291), pages 984-985, April.
    8. Lacasa, Lucas & Cea, Miguel & Zanin, Massimiliano, 2009. "Jamming transition in air transportation networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3948-3954.
    9. Chen, Guo & Dong, Zhao Yang & Hill, David J. & Zhang, Guo Hua & Hua, Ke Qian, 2010. "Attack structural vulnerability of power grids: A hybrid approach based on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 595-603.
    10. Bobbio, A. & Bonanni, G. & Ciancamerla, E. & Clemente, R. & Iacomini, A. & Minichino, M. & Scarlatti, A. & Terruggia, R. & Zendri, E., 2010. "Unavailability of critical SCADA communication links interconnecting a power grid and a Telco network," Reliability Engineering and System Safety, Elsevier, vol. 95(12), pages 1345-1357.
    11. 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.
    12. Pu, Cun-Lai & Yang, Jian & Pei, Wen-Jiang & Tao, Yu-Ting & Lan, Shao-Hua, 2013. "Robustness analysis of static routing on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3293-3300.
    13. Ma, Tian-Lin & Yao, Jian-Xi & Qi, Cheng & Zhu, Hong-Lu & Sun, Yu-Shu, 2013. "Non-monotonic increase of robustness with capacity tolerance in power grids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5516-5524.
    14. 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.
    15. Ouyang, Min, 2014. "Review on modeling and simulation of interdependent critical infrastructure systems," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 43-60.
    16. Jiang, Zhong-Yuan & Liang, Man-Gui & Li, Qian & Guo, Dong-Chao, 2013. "Optimal dynamic bandwidth allocation for complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1256-1262.
    17. Dai, YuanYu & Chen, Guo & Dong, ZhaoYang & Xue, YuSheng & Hill, David J. & Zhao, Yuan, 2014. "An improved framework for power grid vulnerability analysis considering critical system features," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 405-415.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gao, Yan-Li & Chen, Shi-Ming & Nie, Sen & Ma, Fei & Guan, Jun-Jie, 2018. "Robustness analysis of interdependent networks under multiple-attacking strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 495-504.
    2. Chen, Lei & Yue, Dong & Dou, Chunxia, 2019. "Optimization on vulnerability analysis and redundancy protection in interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1216-1226.
    3. Zhao, Yanyan & Zhou, Jie & Zou, Yong & Guan, Shuguang & Gao, Yanli, 2022. "Characteristics of edge-based interdependent networks," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    4. Kai Gong & Jia-Jian Wu & Ying Liu & Qing Li & Run-Ran Liu & Ming Tang, 2019. "The Effective Healing Strategy against Localized Attacks on Interdependent Spatially Embedded Networks," Complexity, Hindawi, vol. 2019, pages 1-10, May.
    5. Dong, Zhengcheng & Tian, Meng & Li, Xin & Lai, Jingang & Tang, Ruoli, 2022. "Mitigating cascading failures of spatially embedded cyber–physical power systems by adding additional information links," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    6. Gao, Xingle & Peng, Minfang & Tse, Chi K., 2021. "Impact of wind power uncertainty on cascading failure in cyber–physical power systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    7. Ma, Shan & Shen, Binda & Ma, Junfeng & Hu, Wenfeng & Peng, Tao, 2023. "Improvement of network robustness against cascading failures based on the min–max edge-adding strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    8. Tao Wang & Xiaoguang Wei & Tao Huang & Jun Wang & Luis Valencia-Cabrera & Zhennan Fan & Mario J. Pérez-Jiménez, 2019. "Cascading Failures Analysis Considering Extreme Virus Propagation of Cyber-Physical Systems in Smart Grids," Complexity, Hindawi, vol. 2019, pages 1-15, March.
    9. Lin Zhang & Jian Lu & Bai-bai Fu & Shu-bin Li, 2018. "A Review and Prospect for the Complexity and Resilience of Urban Public Transit Network Based on Complex Network Theory," Complexity, Hindawi, vol. 2018, pages 1-36, December.
    10. Ji, Xingpei & Wang, Bo & Liu, Dichen & Dong, Zhaoyang & Chen, Guo & Zhu, Zhenshan & Zhu, Xuedong & Wang, Xunting, 2016. "Will electrical cyber–physical interdependent networks undergo first-order transition under random attacks?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 235-245.
    11. Gao, Xingle & Peng, Minfang & Tse, Chi K., 2022. "Robustness analysis of cyber-coupled power systems with considerations of interdependence of structures, operations and dynamic behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    12. Wang, Xingyuan & Cao, Jianye & Li, Rui & Zhao, Tianfang, 2017. "A preferential attachment strategy for connectivity link addition strategy in improving the robustness of interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 412-422.
    13. Cui, Pengshuai & Zhu, Peidong & Wang, Ke & Xun, Peng & Xia, Zhuoqun, 2018. "Enhancing robustness of interdependent network by adding connectivity and dependence links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 185-197.
    14. Zang, Tianlei & Gao, Shibin & Liu, Baoxu & Huang, Tao & Wang, Tao & Wei, Xiaoguang, 2019. "Integrated fault propagation model based vulnerability assessment of the electrical cyber-physical system under cyber attacks," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 232-241.
    15. Wang, Tao & Cheng, Heming & Wang, Xiaoxia, 2020. "A link addition method based on uniformity of node degree in interdependent power grids and communication networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    16. Bachmann, Ivana & Valdés, Valeria & Bustos-Jiménez, Javier & Bustos, Benjamin, 2022. "Effect of adding physical links on the robustness of the Internet modeled as a physical–logical interdependent network using simple strategies," International Journal of Critical Infrastructure Protection, Elsevier, vol. 36(C).
    17. Kazawa, Yui & Tsugawa, Sho, 2020. "Effectiveness of link-addition strategies for improving the robustness of both multiplex and interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    18. Wang, Shuliang & Lv, Wenzhuo & Zhang, Jianhua & Luan, Shengyang & Chen, Chen & Gu, Xifeng, 2021. "Method of power network critical nodes identification and robustness enhancement based on a cooperative framework," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    19. Zhang, Chenwei & Wang, Ying & Zheng, Tao & Wang, Chen & Zhang, Kaifeng, 2024. "Identifying critical weak points of power-gas integrated energy system based on complex network theory," Reliability Engineering and System Safety, Elsevier, vol. 246(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kashin Sugishita & Yasuo Asakura, 2021. "Vulnerability studies in the fields of transportation and complex networks: a citation network analysis," Public Transport, Springer, vol. 13(1), pages 1-34, March.
    2. Cui, Pengshuai & Zhu, Peidong & Wang, Ke & Xun, Peng & Xia, Zhuoqun, 2018. "Enhancing robustness of interdependent network by adding connectivity and dependence links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 185-197.
    3. Kazawa, Yui & Tsugawa, Sho, 2020. "Effectiveness of link-addition strategies for improving the robustness of both multiplex and interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    4. Abedi, Amin & Gaudard, Ludovic & Romerio, Franco, 2019. "Review of major approaches to analyze vulnerability in power system," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 153-172.
    5. Zhang, Jianhua & Song, Bo & Zhang, Zhaojun & Liu, Haikuan, 2014. "An approach for modeling vulnerability of the network of networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 127-136.
    6. Fauzan Hanif Jufri & Jun-Sung Kim & Jaesung Jung, 2017. "Analysis of Determinants of the Impact and the Grid Capability to Evaluate and Improve Grid Resilience from Extreme Weather Event," Energies, MDPI, vol. 10(11), pages 1-17, November.
    7. Wang, Jianwei & Cai, Lin & Xu, Bo & Li, Peng & Sun, Enhui & Zhu, Zhiguo, 2016. "Out of control: Fluctuation of cascading dynamics in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1231-1243.
    8. Zanin, Massimiliano, 2015. "Can we neglect the multi-layer structure of functional networks?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 184-192.
    9. Ji, Xingpei & Wang, Bo & Liu, Dichen & Dong, Zhaoyang & Chen, Guo & Zhu, Zhenshan & Zhu, Xuedong & Wang, Xunting, 2016. "Will electrical cyber–physical interdependent networks undergo first-order transition under random attacks?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 235-245.
    10. Espejo, Rafael & Lumbreras, Sara & Ramos, Andres, 2018. "Analysis of transmission-power-grid topology and scalability, the European case study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 383-395.
    11. Wang, Shuliang & Lv, Wenzhuo & Zhang, Jianhua & Luan, Shengyang & Chen, Chen & Gu, Xifeng, 2021. "Method of power network critical nodes identification and robustness enhancement based on a cooperative framework," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    12. Zhou, Shenghua & Yang, Yifan & Ng, S. Thomas & Xu, J. Frank & Li, Dezhi, 2020. "Integrating data-driven and physics-based approaches to characterize failures of interdependent infrastructures," International Journal of Critical Infrastructure Protection, Elsevier, vol. 31(C).
    13. Fan, Dongming & Lin, Jing & Cai, Baoping & Liu, Bin, 2021. "Robustness of maintenance support service networks: attributes, evaluation and improvement," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    14. Wang, Jing & Zuo, Wangda & Rhode-Barbarigos, Landolf & Lu, Xing & Wang, Jianhui & Lin, Yanling, 2019. "Literature review on modeling and simulation of energy infrastructures from a resilience perspective," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 360-373.
    15. Stergiopoulos, George & Kotzanikolaou, Panayiotis & Theocharidou, Marianthi & Lykou, Georgia & Gritzalis, Dimitris, 2016. "Time-based critical infrastructure dependency analysis for large-scale and cross-sectoral failures," International Journal of Critical Infrastructure Protection, Elsevier, vol. 12(C), pages 46-60.
    16. Koç, Yakup & Warnier, Martijn & Mieghem, Piet Van & Kooij, Robert E. & Brazier, Frances M.T., 2014. "The impact of the topology on cascading failures in a power grid model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 169-179.
    17. Ma, Xiangyu & Zhou, Huijie & Li, Zhiyi, 2021. "On the resilience of modern power systems: A complex network perspective," Renewable and Sustainable Energy Reviews, Elsevier, vol. 152(C).
    18. Fang, Yi-Ping & Zio, Enrico, 2019. "An adaptive robust framework for the optimization of the resilience of interdependent infrastructures under natural hazards," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1119-1136.
    19. Vodák, Rostislav & Bíl, Michal & Sedoník, Jiří, 2015. "Network robustness and random processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 368-382.
    20. Bellè, Andrea & Abdin, Adam F. & Fang, Yi-Ping & Zeng, Zhiguo & Barros, Anne, 2023. "A data-driven distributionally robust approach for the optimal coupling of interdependent critical infrastructures under random failures," European Journal of Operational Research, Elsevier, vol. 309(2), pages 872-889.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:9-19. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.