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An approach for modeling vulnerability of the network of networks

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  • Zhang, Jianhua
  • Song, Bo
  • Zhang, Zhaojun
  • Liu, Haikuan

Abstract

In this paper, a framework is given to model the network of networks and to investigate the vulnerability of the network of networks subjected to failures. Because there are several redundant systems in infrastructure systems, the dependent intensity between two networks is introduced and adopted to discuss the vulnerability of the interdependent infrastructure networks subjected to failures. Shanghai electrified rail transit network is used to illustrate the feasibility and effectiveness of the proposed framework. Because the rail network is dependent on the power grid and communication network, the corresponding power grid and communication network are also included in this system. Meanwhile the failures to the power grid and communication network are utilized to investigate the vulnerability of the rail network. The results show that the rail network strongly depends on the power grid and weakly depends on the communication network, and the transport functionality loss of the rail network increases with the increase of dependent intensity. Meanwhile the highest betweenness node-based attack to the power grid and the largest degree node-based attack to the communication network can result in the most functionality losses to the rail network. Moreover, the functionality loss of the rail network has the smallest value when the tolerance parameter of the power grid equals 0.75 and the critical nodes of the power grid and communication network can be obtained by simulations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:412:y:2014:i:c:p:127-136
    DOI: 10.1016/j.physa.2014.06.035
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    References listed on IDEAS

    as
    1. Derrible, Sybil & Kennedy, Christopher, 2010. "The complexity and robustness of metro networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3678-3691.
    2. Lee, Keumsook & Jung, Woo-Sung & Park, Jong Soo & Choi, M.Y., 2008. "Statistical analysis of the Metropolitan Seoul Subway System: Network structure and passenger flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6231-6234.
    3. Utne, I.B. & Hokstad, P. & Vatn, J., 2011. "A method for risk modeling of interdependencies in critical infrastructures," Reliability Engineering and System Safety, Elsevier, vol. 96(6), pages 671-678.
    4. Wu, J.J. & Gao, Z.Y. & Sun, H.J., 2007. "Effects of the cascading failures on scale-free traffic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 505-511.
    5. 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.
    6. Latora, Vito & Marchiori, Massimo, 2002. "Is the Boston subway a small-world network?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 109-113.
    7. Nan, Cen & Eusgeld, Irene, 2011. "Adopting HLA standard for interdependency study," Reliability Engineering and System Safety, Elsevier, vol. 96(1), pages 149-159.
    8. Wang, Shuliang & Hong, Liu & Chen, Xueguang, 2012. "Vulnerability analysis of interdependent infrastructure systems: A methodological framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3323-3335.
    9. Alessandro Vespignani, 2010. "The fragility of interdependency," Nature, Nature, vol. 464(7291), pages 984-985, April.
    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. Zhang, Pengcheng & Peeta, Srinivas, 2011. "A generalized modeling framework to analyze interdependencies among infrastructure systems," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 553-579, March.
    12. Jenelius, Erik & Petersen, Tom & Mattsson, Lars-Göran, 2006. "Importance and exposure in road network vulnerability analysis," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(7), pages 537-560, August.
    13. YalçInkaya, Özgür & Mirac Bayhan, G., 2009. "Modelling and optimization of average travel time for a metro line by simulation and response surface methodology," European Journal of Operational Research, Elsevier, vol. 196(1), pages 225-233, July.
    14. Ouyang, Min & Dueñas-Osorio, Leonardo, 2011. "An approach to design interface topologies across interdependent urban infrastructure systems," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1462-1473.
    15. Angeloudis, Panagiotis & Fisk, David, 2006. "Large subway systems as complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 553-558.
    16. Yong-Yeol Ahn & James P. Bagrow & Sune Lehmann, 2010. "Link communities reveal multiscale complexity in networks," Nature, Nature, vol. 466(7307), pages 761-764, August.
    17. 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.
    18. Chen, Cynthia & Chen, Jason & Barry, James, 2009. "Diurnal pattern of transit ridership: a case study of the New York City subway system," Journal of Transport Geography, Elsevier, vol. 17(3), pages 176-186.
    19. Barker, Kash & Haimes, Yacov Y., 2009. "Assessing uncertainty in extreme events: Applications to risk-based decision making in interdependent infrastructure sectors," Reliability Engineering and System Safety, Elsevier, vol. 94(4), pages 819-829.
    20. Raveau, Sebastián & Muñoz, Juan Carlos & de Grange, Louis, 2011. "A topological route choice model for metro," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(2), pages 138-147, February.
    21. Barberillo, Josep & Saldaña, Joan, 2011. "Navigation in large subway networks: An informational approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 374-386.
    22. Hausken, Kjell, 2010. "Defense and attack of complex and dependent systems," Reliability Engineering and System Safety, Elsevier, vol. 95(1), pages 29-42.
    23. Winkler, James & Dueñas-Osorio, Leonardo & Stein, Robert & Subramanian, Devika, 2010. "Performance assessment of topologically diverse power systems subjected to hurricane events," Reliability Engineering and System Safety, Elsevier, vol. 95(4), pages 323-336.
    24. Crôtte, Amado & Noland, Robert B. & Graham, Daniel J., 2009. "Is the Mexico City metro an inferior good?," Transport Policy, Elsevier, vol. 16(1), pages 40-45, January.
    25. Seyedshohadaie, S. Reza & Damnjanovic, Ivan & Butenko, Sergiy, 2010. "Risk-based maintenance and rehabilitation decisions for transportation infrastructure networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(4), pages 236-248, May.
    26. Laporte, G. & Mesa, J.A. & Ortega, F.A. & Perea, F., 2011. "Planning rapid transit networks," Socio-Economic Planning Sciences, Elsevier, vol. 45(3), pages 95-104, September.
    Full references (including those not matched with items on IDEAS)

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