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A game-theoretic method to optimize allocation of defensive resource to protect urban water treatment plants against physical attacks

Author

Listed:
  • Chen, Shun
  • Zhao, Xudong
  • Chen, Zhilong
  • Hou, Benwei
  • Wu, Yipeng
Abstract
Urban water treatment plants (WTPs) threatened by terrorist attacks is critical to residents’ security and economic development. They are treating and transit hubs that connect the upstream water sources and downstream urban distribution network. Due to the limitation of defensive resources, how to appropriately allocate defensive resources to protect WTPs against terrorist attack is still a challenging issue for urban municipal department. As of now, very few studies have investigated this problem, which often involve strategic game between the attacker and defender. This study presents a game-theoretic method and operational framework to optimize the allocation of defensive resource to protect urban WTPs against terrorist physical attacks. This method fully considers the direct economic loss, systematic loss and human loss generated by the attack on WTPs, and then model the strategic interactions between defenders and terrorists by integrating game theory with risk assessment. In the case study of typical urban water distribution network including five WTPs in central China, we figure out the optimal allocation strategy of defensive resources in Nash equilibrium using proposed game-theoretic method, and then thoroughly compare it with three conventional allocation strategies solely based on risk assessment. The results show that the resources allocation strategy and the attack strategy in Nash equilibrium are optimal strategies for both defender and attacker respectively. Furthermore, the feasibility and availability of the proposed method and operational framework in identifying the optimal allocation strategy of defensive resources is also tested and confirmed in the case study.

Suggested Citation

  • Chen, Shun & Zhao, Xudong & Chen, Zhilong & Hou, Benwei & Wu, Yipeng, 2022. "A game-theoretic method to optimize allocation of defensive resource to protect urban water treatment plants against physical attacks," International Journal of Critical Infrastructure Protection, Elsevier, vol. 36(C).
    • Handle: RePEc:eee:ijocip:v:36:y:2022:i:c:s1874548221000767
    DOI: 10.1016/j.ijcip.2021.100494
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    References listed on IDEAS

    as
    1. Levitin, Gregory & Hausken, Kjell, 2008. "Protection vs. redundancy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1444-1451.
    2. Levitin, Gregory & Hausken, Kjell, 2009. "Meeting a demand vs. enhancing protections in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1711-1717.
    3. Kjell Hausken, 2011. "Protecting complex infrastructures against multiple strategic attackers," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 11-29.
    4. Hausken, Kjell & Levitin, Gregory, 2009. "Protection vs. false targets in series systems," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 973-981.
    5. K Hausken & G Levitin, 2010. "Defence of homogeneous parallel multi-state systems subject to two sequential attacks," Journal of Risk and Reliability, , vol. 224(3), pages 171-183, September.
    6. Manish Jain & Jason Tsai & James Pita & Christopher Kiekintveld & Shyamsunder Rathi & Milind Tambe & Fernando Ordóñez, 2010. "Software Assistants for Randomized Patrol Planning for the LAX Airport Police and the Federal Air Marshal Service," Interfaces, INFORMS, vol. 40(4), pages 267-290, August.
    7. Levitin, Gregory & Hausken, Kjell, 2009. "Intelligence and impact contests in systems with redundancy, false targets, and partial protection," Reliability Engineering and System Safety, Elsevier, vol. 94(12), pages 1927-1941.
    8. Kjell Hausken & Fei He, 2016. "On the Effectiveness of Security Countermeasures for Critical Infrastructures," Risk Analysis, John Wiley & Sons, vol. 36(4), pages 711-726, April.
    9. Chopra, Shauhrat S. & Khanna, Vikas, 2015. "Interconnectedness and interdependencies of critical infrastructures in the US economy: Implications for resilience," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 865-877.
    10. Hausken, Kjell, 2017. "Defense and attack for interdependent systems," European Journal of Operational Research, Elsevier, vol. 256(2), pages 582-591.
    11. Han, Lin & Zhao, Xudong & Chen, Zhilong & Gong, Huadong & Hou, Benwei, 2021. "Assessing resilience of urban lifeline networks to intentional attacks," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    12. Henry H. Willis, 2007. "Guiding Resource Allocations Based on Terrorism Risk," Risk Analysis, John Wiley & Sons, vol. 27(3), pages 597-606, June.
    13. Hausken, Kjell, 2006. "Income, interdependence, and substitution effects affecting incentives for security investment," Journal of Accounting and Public Policy, Elsevier, vol. 25(6), pages 629-665.
    14. Rae Zimmerman & Carlos E. Restrepo, 2006. "The next step: quantifying infrastructure interdependencies to improve security," International Journal of Critical Infrastructures, Inderscience Enterprises Ltd, vol. 2(2/3), pages 215-230.
    15. Vicki Bier & Hoa Han & Lorna Zack, 2008. "Models of Interdependent Security along the Milk Supply Chain," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 90(5), pages 1265-1271.
    16. George E. Apostolakis & Douglas M. Lemon, 2005. "A Screening Methodology for the Identification and Ranking of Infrastructure Vulnerabilities Due to Terrorism," Risk Analysis, John Wiley & Sons, vol. 25(2), pages 361-376, April.
    17. Levitin, Gregory & Hausken, Kjell, 2009. "False targets vs. redundancy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 588-595.
    18. Yacov Y. Haimes & Kenneth Crowther & Barry M. Horowitz, 2008. "Homeland security preparedness: Balancing protection with resilience in emergent systems," Systems Engineering, John Wiley & Sons, vol. 11(4), pages 287-308, December.
    19. Hausken, Kjell, 2010. "Defense and attack of complex and dependent systems," Reliability Engineering and System Safety, Elsevier, vol. 95(1), pages 29-42.
    20. K Hausken & G Levitin, 2009. "Parallel systems with different types of defence resource expenditure under two sequential attacks," Journal of Risk and Reliability, , vol. 223(1), pages 71-85, March.
    21. Ilan Adler, 2013. "The equivalence of linear programs and zero-sum games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 165-177, February.
    22. Kjell Hausken, 2018. "A cost–benefit analysis of terrorist attacks," Defence and Peace Economics, Taylor & Francis Journals, vol. 29(2), pages 111-129, February.
    23. Wu, Baichao & Tang, Aiping & Wu, Jie, 2016. "Modeling cascading failures in interdependent infrastructures under terrorist attacks," Reliability Engineering and System Safety, Elsevier, vol. 147(C), pages 1-8.
    24. Levitin, Gregory & Hausken, Kjell, 2009. "Parallel systems under two sequential attacks," Reliability Engineering and System Safety, Elsevier, vol. 94(3), pages 763-772.
    25. Boaz Golany & Moshe Kress & Michal Penn & Uriel G. Rothblum, 2012. "Network Optimization Models for Resource Allocation in Developing Military Countermeasures," Operations Research, INFORMS, vol. 60(1), pages 48-63, February.
    26. Kjell Hausken, 2002. "Probabilistic Risk Analysis and Game Theory," Risk Analysis, John Wiley & Sons, vol. 22(1), pages 17-27, February.
    27. Powell, Robert, 2007. "Defending against Terrorist Attacks with Limited Resources," American Political Science Review, Cambridge University Press, vol. 101(3), pages 527-541, August.
    28. Levitin, Gregory & Hausken, Kjell, 2010. "Separation in homogeneous systems with independent identical elements," European Journal of Operational Research, Elsevier, vol. 203(3), pages 625-634, June.
    29. Shan, Xiaojun & Zhuang, Jun, 2018. "Modeling cumulative defensive resource allocation against a strategic attacker in a multi-period multi-target sequential game," Reliability Engineering and System Safety, Elsevier, vol. 179(C), pages 12-26.
    30. Hausken, Kjell & Levitin, Gregory, 2009. "Minmax defense strategy for complex multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 577-587.
    31. Bhatti, Bilal Ahmad & Broadwater, Robert, 2019. "Energy trading in the distribution system using a non-model based game theoretic approach," Applied Energy, Elsevier, vol. 253(C), pages 1-1.
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