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A holistic method for reliability performance assessment and critical components detection in complex networks

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  • Chi Zhang
  • José Ramirez-Marquez
  • Claudio Sanseverino

Abstract

Many infrastructures are now considered to be critical for both the economic development and general functioning of modern societies. Thus, understanding their performance is important as a basis to develop intelligent and cost-effective ways to protect these networks. In this article, a critical infrastructure is modeled as a complex network for which a new metric is defined to understand its reliability. This metric called reliability Π describes the average reliability between every pair of nodes in a complex network. As such, it is related to the two-terminal reliability concept in the traditional network context. Furthermore, in an effort to identify the most critical components that affect reliability Π, a multi-objective optimization problem, known as the critical component detection problem, is introduced. The solution to this problem provides two important insights about the behavior of a complex network: (i) an approximation to the set of optimal solutions that identifies the most critical components; and (ii) a quantitative assessment of how these failures affect the complete complex network.

Suggested Citation

  • Chi Zhang & José Ramirez-Marquez & Claudio Sanseverino, 2011. "A holistic method for reliability performance assessment and critical components detection in complex networks," IISE Transactions, Taylor & Francis Journals, vol. 43(9), pages 661-675.
    • Handle: RePEc:taf:uiiexx:v:43:y:2011:i:9:p:661-675
    DOI: 10.1080/0740817X.2010.546387
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    Citations

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    Cited by:

    1. Zhang, Chi & Ramirez-Marquez, José Emmanuel & Wang, Jianhui, 2015. "Critical infrastructure protection using secrecy – A discrete simultaneous game," European Journal of Operational Research, Elsevier, vol. 242(1), pages 212-221.
    2. Lu, Lu & Xu, Zhengguo & Wang, Wenhai & Sun, Youxian, 2013. "A new fault detection method for computer networks," Reliability Engineering and System Safety, Elsevier, vol. 114(C), pages 45-51.
    3. Guozhen Xiong & Chi Zhang & Fei Zhou, 2017. "A robust reliability redundancy allocation problem under abnormal external failures guided by a new importance measure," Journal of Risk and Reliability, , vol. 231(2), pages 180-199, April.
    4. Chi Zhang & Jose Ramirez-Marquez, 2013. "Protecting critical infrastructures against intentional attacks: a two-stage game with incomplete information," IISE Transactions, Taylor & Francis Journals, vol. 45(3), pages 244-258.
    5. Xiaoyan Zhu & Way Kuo, 2014. "Importance measures in reliability and mathematical programming," Annals of Operations Research, Springer, vol. 212(1), pages 241-267, January.
    6. Zhu, Huaxing & Zhang, Chi, 2019. "Expanding a complex networked system for enhancing its reliability evaluated by a new efficient approach," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 205-220.
    7. Jingjing Kong & Slobodan P. Simonovic & Chao Zhang, 2019. "Resilience Assessment of Interdependent Infrastructure Systems: A Case Study Based on Different Response Strategies," Sustainability, MDPI, vol. 11(23), pages 1-31, November.
    8. Ramirez-Marquez, José Emmanuel & Li, Qing, 2018. "Locating and protecting facilities from intentional attacks using secrecyAuthor-Name: Zhang, Chi," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 51-62.
    9. Hiba Baroud & Jose E. Ramirez‐Marquez & Kash Barker & Claudio M. Rocco, 2014. "Stochastic Measures of Network Resilience: Applications to Waterway Commodity Flows," Risk Analysis, John Wiley & Sons, vol. 34(7), pages 1317-1335, July.
    10. Barker, Kash & Ramirez-Marquez, Jose Emmanuel & Rocco, Claudio M., 2013. "Resilience-based network component importance measures," Reliability Engineering and System Safety, Elsevier, vol. 117(C), pages 89-97.
    11. Nicholson, Charles D. & Barker, Kash & Ramirez-Marquez, Jose E., 2016. "Flow-based vulnerability measures for network component importance: Experimentation with preparedness planning," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 62-73.
    12. Baroud, Hiba & Barker, Kash & Ramirez-Marquez, Jose E. & Rocco S., Claudio M., 2014. "Importance measures for inland waterway network resilience," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 62(C), pages 55-67.
    13. Li, Yapeng & Qiao, Shun & Deng, Ye & Wu, Jun, 2019. "Stackelberg game in critical infrastructures from a network science perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 705-714.
    14. Lee, Joohyun & Kwak, Jaewook & Lee, Hyang-Won & Shroff, Ness B., 2018. "Finding minimum node separators: A Markov chain Monte Carlo method," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 225-235.
    15. Li, Yulong & Lin, Jie & Zhang, Chi & Zhu, Huaxing & Zeng, Saixing & Sun, Chengshaung, 2022. "Joint optimization of structure and protection of interdependent infrastructure networks," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).

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