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Object defence of a single object with preventive strike of random effect

Author

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  • Gao, Kaiye
  • Yan, Xiangbin
  • Liu, Xiang-dong
  • Peng, Rui

Abstract

Most existing research on system defence is restricted to passive measures such as providing redundancy, protecting system elements, and deploying false elements. Some recent works have considered the launching of preventive strikes, where a preventive strike, if successful, destroys all the attacker's resources. However, in practice, a preventive strike might cause a random loss to the attacker's resources. This paper assumes that the destroyable attacking resources follow a Poisson distribution. Procedures are presented to solve the optimal defence strategies for three cases: (1) where preventive strikes and object protections are the only available defence measures; (2) where false targets can also be deployed, and they are perfect; and (3) where false targets can also be deployed, but they are imperfect. Numerical examples are provided to illustrate the applications, and sensitivity analysis is employed to demonstrate the influence of parameters.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:186:y:2019:i:c:p:209-219
    DOI: 10.1016/j.ress.2019.02.023
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    as
    1. Ye, Zhi-Sheng & Peng, Rui & Wang, Wenbin, 2017. "Defense and attack of performance-sharing common bus systemsAuthor-Name: Zhai, Qingqing," European Journal of Operational Research, Elsevier, vol. 256(3), pages 962-975.
    2. Wu, Di & Liu, Xiang-dong & Yan, Xiang-bin & Peng, Rui & Li, Gang, 2019. "Equilibrium analysis of bitcoin block withholding attack: A generalized model," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 318-328.
    3. Kjell Hausken, 2018. "Formalizing the Precautionary Principle Accounting for Strategic Interaction, Natural Factors, and Technological Factors," Risk Analysis, John Wiley & Sons, vol. 38(10), pages 2055-2072, October.
    4. Subhayu Bandyopadhyay & Todd Sandler, 2011. "The Interplay Between Preemptive and Defensive Counterterrorism Measures: A Two‐stage Game," Economica, London School of Economics and Political Science, vol. 78(311), pages 546-564, July.
    5. Hausken, Kjell, 2008. "Strategic defense and attack for series and parallel reliability systems," European Journal of Operational Research, Elsevier, vol. 186(2), pages 856-881, April.
    6. Levitin, Gregory & Hausken, Kjell, 2009. "False targets efficiency in defense strategy," European Journal of Operational Research, Elsevier, vol. 194(1), pages 155-162, April.
    7. Mo, Huadong & Xie, Min & Levitin, Gregory, 2015. "Optimal resource distribution between protection and redundancy considering the time and uncertainties of attacks," European Journal of Operational Research, Elsevier, vol. 243(1), pages 200-210.
    8. Ramirez-Marquez, Jose E. & Rocco, Claudio M. & Levitin, Gregory, 2011. "Optimal network protection against diverse interdictor strategies," Reliability Engineering and System Safety, Elsevier, vol. 96(3), pages 374-382.
    9. 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.
    10. Kjell Hausken & Gregory Levitin, 2011. "Active Vs. Passive Defense Against A Strategic Attacker," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 1-12.
    11. Yang, Li & Zhao, Yu & Peng, Rui & Ma, Xiaobing, 2018. "Hybrid preventive maintenance of competing failures under random environment," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 130-140.
    12. Jessica Stern & Jonathan B. Wiener, 2006. "Precaution Against Terrorism," Journal of Risk Research, Taylor & Francis Journals, vol. 9(4), pages 393-447, June.
    13. Hausken, Kjell & Levitin, Gregory, 2009. "Protection vs. false targets in series systems," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 973-981.
    14. Kjell Hausken & Gregory Levitin, 2011. "Shield versus sword resource distribution in K-round duels," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(4), pages 589-603, December.
    15. Ramirez-Marquez, Jose E. & Rocco S, Claudio M. & Levitin, Gregory, 2009. "Optimal protection of general source–sink networks via evolutionary techniques," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1676-1684.
    16. Levitin, Gregory & Hausken, Kjell, 2011. "Preventive strike vs. false targets and protection in defense strategy," Reliability Engineering and System Safety, Elsevier, vol. 96(8), pages 912-924.
    17. Stern, Jessica & Wiener, Jonathan B., 2006. "Precaution against Terrorism," Working Paper Series rwp06-019, Harvard University, John F. Kennedy School of Government.
    18. Jun Zhuang & Vicki M. Bier, 2007. "Balancing Terrorism and Natural Disasters---Defensive Strategy with Endogenous Attacker Effort," Operations Research, INFORMS, vol. 55(5), pages 976-991, October.
    19. Levitin, Gregory & Hausken, Kjell, 2013. "Is it wise to leave some false targets unprotected?," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 176-186.
    20. Zhao, Peng & Zhang, Yiying & Li, Long, 2015. "Redundancy allocation at component level versus system level," European Journal of Operational Research, Elsevier, vol. 241(2), pages 402-411.
    21. Peng, R. & Levitin, G. & Xie, M. & Ng, S.H., 2010. "Defending simple series and parallel systems with imperfect false targets," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 679-688.
    22. Peng, R. & Zhai, Q.Q. & Levitin, G., 2016. "Defending a single object against an attacker trying to detect a subset of false targets," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 137-147.
    23. Kjell Hausken & Jun Zhuang, 2011. "Governments' and Terrorists' Defense and Attack in a T -Period Game," Decision Analysis, INFORMS, vol. 8(1), pages 46-70, March.
    24. Wu, Di & Xiao, Hui & Peng, Rui, 2018. "Object defense with preventive strike and false targets," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 76-80.
    25. Hausken, Kjell, 2008. "Strategic defense and attack for reliability systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1740-1750.
    26. Vicki Bier & Kjell Hausken, 2011. "Endogenizing the sticks and carrots: modeling possible perverse effects of counterterrorism measures," Annals of Operations Research, Springer, vol. 186(1), pages 39-59, June.
    27. 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.
    28. 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.
    29. Szidarovszky, Ferenc & Luo, Yi, 2014. "Incorporating risk seeking attitude into defense strategy," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 104-109.
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    Cited by:

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    4. Bingyin Lei & Yue Ren & Huiyu Luan & Ruonan Dong & Xiuyuan Wang & Junli Liao & Shu Fang & Kaiye Gao, 2023. "A Review of Optimization for System Reliability of Microgrid," Mathematics, MDPI, vol. 11(4), pages 1-30, February.
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    6. Nicola Dimitri, 2020. "Skills, Efficiency, and Timing in a Simple Attack and Defense Model," Decision Analysis, INFORMS, vol. 17(3), pages 227-234, September.
    7. Kaiye Gao & Hui Xiao & Li Qu & Shouyang Wang, 2022. "Optimal interception strategy of air defence missile system considering multiple targets and phases," Journal of Risk and Reliability, , vol. 236(1), pages 138-147, February.
    8. Kaiye Gao & Tianshi Wang & Chenjing Han & Jinhao Xie & Ye Ma & Rui Peng, 2021. "A Review of Optimization of Microgrid Operation," Energies, MDPI, vol. 14(10), pages 1-39, May.
    9. Di Wu & Xiangbin Yan & Rui Peng & Shaomin Wu, 2020. "Optimal defence-attack strategies between one defender and two attackers," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 71(11), pages 1830-1846, November.
    10. Wu, Di & Yan, Xiangbin & Peng, Rui & Wu, Shaomin, 2020. "Risk-attitude-based defense strategy considering proactive strike, preventive strike and imperfect false targets," Reliability Engineering and System Safety, Elsevier, vol. 196(C).
    11. Zhang, Xiaoxiong & Ding, Song & Ge, Bingfeng & Xia, Boyuan & Pedrycz, Witold, 2021. "Resource allocation among multiple targets for a defender-attacker game with false targets consideration," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    12. Yue Ren & Chunhua Jin & Shu Fang & Li Yang & Zixuan Wu & Ziyang Wang & Rui Peng & Kaiye Gao, 2023. "A Comprehensive Review of Key Technologies for Enhancing the Reliability of Lithium-Ion Power Batteries," Energies, MDPI, vol. 16(17), pages 1-38, August.
    13. 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).
    14. Lin, Chen & Xiao, Hui & Peng, Rui & Xiang, Yisha, 2021. "Optimal defense-attack strategies between M defenders and N attackers: A method based on cumulative prospect theory," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    15. Rui Yan & Haotong Tian & Kaiye Gao & Rui Peng & Bin Liu, 2023. "A two-stage UAV routing problem with time window considering rescheduling with random delivery reliability," Journal of Risk and Reliability, , vol. 237(4), pages 781-797, August.

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