IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v186y2019icp209-219.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832018306732
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2019.02.023?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Hausken, Kjell & Levitin, Gregory, 2009. "Protection vs. false targets in series systems," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 973-981.
    6. 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.
    7. Stern, Jessica & Wiener, Jonathan B., 2006. "Precaution against Terrorism," Working Paper Series rwp06-019, Harvard University, John F. Kennedy School of Government.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Hausken, Kjell, 2008. "Strategic defense and attack for reliability systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1740-1750.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. Levitin, Gregory & Hausken, Kjell, 2009. "False targets efficiency in defense strategy," European Journal of Operational Research, Elsevier, vol. 194(1), pages 155-162, April.
    20. 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.
    21. 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.
    22. Jessica Stern & Jonathan B. Wiener, 2006. "Precaution Against Terrorism," Journal of Risk Research, Taylor & Francis Journals, vol. 9(4), pages 393-447, June.
    23. 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.
    24. 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.
    25. 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.
    26. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Konrad, Kai A., 2024. "The collective security dilemma of preemptive strikes," European Journal of Operational Research, Elsevier, vol. 313(3), pages 1191-1199.
    2. Peng, Rui & Wu, Di & Xiao, Hui & Xing, Liudong & Gao, Kaiye, 2019. "Redundancy versus protection for a non-reparable phased-mission system subject to external impacts," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    3. Ke Chen & Xian Zhao & Qingan Qiu, 2022. "Optimal Task Abort and Maintenance Policies Considering Time Redundancy," Mathematics, MDPI, vol. 10(9), pages 1-16, April.
    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.
    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. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Hausken, Kjell, 2024. "Fifty Years of Operations Research in Defense," European Journal of Operational Research, Elsevier, vol. 318(2), pages 355-368.
    3. 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).
    4. 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.
    5. Qingqing Zhai & Rui Peng & Jun Zhuang, 2020. "Defender–Attacker Games with Asymmetric Player Utilities," Risk Analysis, John Wiley & Sons, vol. 40(2), pages 408-420, February.
    6. Sushil Gupta & Martin K. Starr & Reza Zanjirani Farahani & Mahsa Mahboob Ghodsi, 2020. "Prevention of Terrorism–An Assessment of Prior POM Work and Future Potentials," Production and Operations Management, Production and Operations Management Society, vol. 29(7), pages 1789-1815, July.
    7. 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).
    8. 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.
    9. 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).
    10. 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.
    11. Peng, Rui & Xiao, Hui & Guo, Jianjun & Lin, Chen, 2020. "Defending a parallel system against a strategic attacker with redundancy, protection and disinformation," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    12. Hunt, Kyle & Zhuang, Jun, 2024. "A review of attacker-defender games: Current state and paths forward," European Journal of Operational Research, Elsevier, vol. 313(2), pages 401-417.
    13. Ben Yaghlane, Asma & Azaiez, M. Naceur, 2017. "Systems under attack-survivability rather than reliability: Concept, results, and applications," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1156-1164.
    14. Kjell Hausken, 2019. "Principal–Agent Theory, Game Theory, and the Precautionary Principle," Decision Analysis, INFORMS, vol. 16(2), pages 105-127, June.
    15. 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).
    16. Bier, Vicki M. & Hausken, Kjell, 2013. "Defending and attacking a network of two arcs subject to traffic congestion," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 214-224.
    17. Szidarovszky, Ferenc & Luo, Yi, 2014. "Incorporating risk seeking attitude into defense strategy," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 104-109.
    18. Liang, Liang & Chen, Jingxian & Siqueira, Kevin, 2020. "Revenge or continued attack and defense in defender–attacker conflicts," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1180-1190.
    19. 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.
    20. Rui Peng & Di Wu & Mengyao Sun & Shaomin Wu, 2021. "An attack-defense game on interdependent networks," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(10), pages 2331-2341, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:186:y:2019:i:c:p:209-219. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.