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Meeting a demand vs. enhancing protections in homogeneous parallel systems

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  • Levitin, Gregory
  • Hausken, Kjell

Abstract

The article considers defense resource allocation in a system exposed to planned and forced losses. The defender distributes its limited resource between deploying identical system elements and their protection from attacks. Planned losses arise if there are not enough elements to meet the demand. Forced losses arise if an external attack reduces the performance below the demand. The attacker distributes its effort evenly among all the elements or among elements from a chosen subset. The vulnerability of each element is determined by an attacker–defender contest success function. The expected damage caused by the attack is proportional to the system performance reduction below a planned level of demand satisfaction.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:11:p:1711-1717
    DOI: 10.1016/j.ress.2009.05.011
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    References listed on IDEAS

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    Cited by:

    1. 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).
    2. Levitin, G. & Gertsbakh, I. & Shpungin, Y., 2013. "Evaluating the damage associated with intentional supply deprivation in multi-commodity network," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 11-17.
    3. 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.
    4. Su, Huai & Zio, Enrico & Zhang, Jinjun & Li, Xueyi, 2018. "A systematic framework of vulnerability analysis of a natural gas pipeline network," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 79-91.
    5. 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.
    6. Musegaas, Marieke & Schlicher, Loe & Blok, Herman, 2022. "Stackelberg production-protection games: Defending crop production against intentional attacks," European Journal of Operational Research, Elsevier, vol. 297(1), pages 102-119.
    7. Dan Kovenock & Brian Roberson, 2012. "Strategic Defense And Attack For Series And Parallel Reliability Systems: Comment," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 507-515, October.
    8. Levitin, G. & Gertsbakh, I. & Shpungin, Y., 2011. "Evaluating the damage associated with intentional network disintegration," Reliability Engineering and System Safety, Elsevier, vol. 96(4), pages 433-439.
    9. 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.
    10. 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.
    11. Bricha, Naji & Nourelfath, Mustapha, 2013. "Critical supply network protection against intentional attacks: A game-theoretical model," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 1-10.

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