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Individual vs. overarching protection for minimizing the expected damage caused by an attack

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Listed:
  • Levitin, Gregory
  • Hausken, Kjell
  • Dai, Yuanshun

Abstract

The article considers a system consisting of identical elements which can be protected and attacked individually and collectively. The system is aimed at supplying a demand. If, following the attack, the cumulative performance of the elements becomes less than the demand the damage proportional to the unsupplied demand is inflicted. Additional damage is associated with the destruction of the equipment. To destroy any system element the attacker always must penetrate/destroy the collective (overarching) protection. Both the attacker and the defender have limited resources and can distribute them freely between the two types of attack and protection. The attacker chooses the resource distribution and the number of attacked elements to maximize the expected damage associated with equipment losses and unsupplied demand. The defender chooses the resource distribution and the number of protected elements to minimize the system destruction probability. The bi-contest minmax game is formulated and its solutions are presented and analyzed. The influence of the game parameters on the optimal defense and attack strategies is discussed.

Suggested Citation

  • Levitin, Gregory & Hausken, Kjell & Dai, Yuanshun, 2013. "Individual vs. overarching protection for minimizing the expected damage caused by an attack," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 117-125.
    • Handle: RePEc:eee:reensy:v:119:y:2013:i:c:p:117-125
    DOI: 10.1016/j.ress.2013.05.024
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Konrad, Kai A. & Morath, Florian, 2023. "How to preempt attacks in multi-front conflict with limited resources," European Journal of Operational Research, Elsevier, vol. 305(1), pages 493-500.
    2. Kjell Hausken, 2019. "Special versus general protection and attack of two assets," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(4), pages 53-93.
    3. Xiao, Hui & Lin, Chen & Kou, Gang & Peng, Rui, 2020. "Optimal resource allocation for defending k-out-of-n systems against sequential intentional and unintentional impacts," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    4. Ouyang, Min & Xu, Min & Zhang, Chi & Huang, Shitong, 2017. "Mitigating electric power system vulnerability to worst-case spatially localized attacks," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 144-154.
    5. Lin, Chen & Xiao, Hui & Kou, Gang & Peng, Rui, 2020. "Defending a series system with individual protection, overarching protection, and disinformation," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    6. Xiao, Hui & Shi, Daimin & Ding, Yi & Peng, Rui, 2016. "Optimal loading and protection of multi-state systems considering performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 88-95.
    7. Cao, Minhao & Guo, Jianjun & Xiao, Hui & Wu, Liang, 2022. "Reliability analysis and optimal generator allocation and protection strategy of a non-repairable power grid system," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    8. Hausken, Kjell, 2017. "Special versus general protection and attack of parallel and series components," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 239-256.
    9. Levitin, Gregory & Hausken, Kjell & Dai, Yuanshun, 2014. "Optimal defense with variable number of overarching and individual protections," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 81-90.

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