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Active And Passive Defense Against Multiple Attack Facilities

Author

Listed:
  • GREGORY LEVITIN

    (The Israel Electric Corporation Ltd., Israel)

  • KJELL HUSKEN

    (Faculty of Social Sciences, University of Stavanger, Norway)

  • HANOCH BEN-HAIM

    (The Israel Electric Corporation Ltd., Israel)

Abstract

The paper considers a situation when a terrorist withNattack facilities allocates its resource between attacking an object and protecting the facilities that will be used in the attack. A government allocates its resource between protecting the object passively and striking actively and preventively against all or a subset of the attack facilities. The government strikes preventively if the object destruction probability is lower than when choosing passive defense. The paper formulates a zero-sum situation in which the terrorist chooses how to distribute its resource between the attack and protection efforts where the government chooses how to distribute its resource between the (PS) preventive strike and protection efforts and decides how many facilities to strike. It is shown that independently of the number of facilities the government strikes, the sum of the fraction of the terrorist's resource allocated to attack and the fraction of the government's resource allocated to the PS always equals one. The condition of the PS effectiveness is formulated. Examples are provided to illustrate the methodology of the model analysis.

Suggested Citation

  • Gregory Levitin & Kjell Husken & Hanoch Ben-Haim, 2011. "Active And Passive Defense Against Multiple Attack Facilities," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(04), pages 431-444.
    • Handle: RePEc:wsi:apjorx:v:28:y:2011:i:04:n:s021759591100317x
    DOI: 10.1142/S021759591100317X
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    Citations

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    Cited by:

    1. Gao, Kaiye & Yan, Xiangbin & Liu, Xiang-dong & Peng, Rui, 2019. "Object defence of a single object with preventive strike of random effect," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 209-219.
    2. McCarter, Matthew & Barker, Kash & Johansson, Jonas & Ramirez-Marquez, Jose E., 2018. "A bi-objective formulation for robust defense strategies in multi-commodity networks," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 154-161.
    3. Hausken, Kjell, 2024. "Fifty Years of Operations Research in Defense," European Journal of Operational Research, Elsevier, vol. 318(2), pages 355-368.
    4. Liles, Joseph M. & Robbins, Matthew J. & Lunday, Brian J., 2023. "Improving defensive air battle management by solving a stochastic dynamic assignment problem via approximate dynamic programming," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1435-1449.
    5. 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.
    6. Hannah Lobban & Yasser Almoghathawi & Nazanin Tajik & Kash Barker, 2021. "Community vulnerability perspective on robust protection planning in interdependent infrastructure networks," Journal of Risk and Reliability, , vol. 235(5), pages 798-813, October.

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