IDEAS home Printed from https://ideas.repec.org/a/wly/riskan/v28y2008i5p1477-1486.html
   My bibliography  Save this article

Efficiency of Even Separation of Parallel Elements with Variable Contest Intensity

Author

Listed:
  • Kjell Hausken
  • Gregory Levitin

Abstract

The article considers strategic defense and attack of a system that can be separated into parallel elements. The defender distributes its resource between separation and protecting the elements from outside attacks. The vulnerability of each element is determined by an attacker‐defender contest success function, which depends on a contest intensity that may increase or decrease through the separation process. The article determines criteria of separation efficiency for systems without performance redundancy and 1‐out‐of‐N and Q‐out‐of‐N systems with performance redundancy. For the systems with performance redundancy the cases of expected damage proportional to the probability that the demand is not met, and expected damage proportional to the unsupplied demand, are considered.

Suggested Citation

  • Kjell Hausken & Gregory Levitin, 2008. "Efficiency of Even Separation of Parallel Elements with Variable Contest Intensity," Risk Analysis, John Wiley & Sons, vol. 28(5), pages 1477-1486, October.
    • Handle: RePEc:wly:riskan:v:28:y:2008:i:5:p:1477-1486
    DOI: 10.1111/j.1539-6924.2008.01090.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1539-6924.2008.01090.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1539-6924.2008.01090.x?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
    ---><---

    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. Vicki Bier & Santiago Oliveros & Larry Samuelson, 2007. "Choosing What to Protect: Strategic Defensive Allocation against an Unknown Attacker," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(4), pages 563-587, August.
    3. Azaiez, M.N. & Bier, Vicki M., 2007. "Optimal resource allocation for security in reliability systems," European Journal of Operational Research, Elsevier, vol. 181(2), pages 773-786, September.
    4. Kjell Hausken, 2005. "Production and Conflict Models Versus Rent-Seeking Models," Public Choice, Springer, vol. 123(1), pages 59-93, April.
    5. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
    6. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    7. Hausken, Kjell, 2008. "Strategic defense and attack for reliability systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1740-1750.
    8. Hausken, Kjell, 2006. "Income, interdependence, and substitution effects affecting incentives for security investment," Journal of Accounting and Public Policy, Elsevier, vol. 25(6), pages 629-665.
    9. Kunreuther, Howard & Heal, Geoffrey, 2003. "Interdependent Security," Journal of Risk and Uncertainty, Springer, vol. 26(2-3), pages 231-249, March-May.
    10. Levitin, Gregory, 2003. "Optimal allocation of multi-state elements in linear consecutively connected systems with vulnerable nodes," European Journal of Operational Research, Elsevier, vol. 150(2), pages 406-419, October.
    11. Kjell Hausken, 2004. "Mutual Raiding of Production and the Emergence of Exchange," Economic Inquiry, Western Economic Association International, vol. 42(4), pages 572-586, October.
    12. Kjell Hausken, 2002. "Probabilistic Risk Analysis and Game Theory," Risk Analysis, John Wiley & Sons, vol. 22(1), pages 17-27, February.
    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. Hausken, Kjell, 2010. "Strategic Defense and Attack for Series and Parallel Reliability Systems: Reply on Comment," MPRA Paper 25497, University Library of Munich, Germany, revised 02 Oct 2010.
    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. Kjell Hausken & Jonathan W. Welburn, 2021. "Attack and Defense Strategies in Cyber War Involving Production and Stockpiling of Zero-Day Cyber Exploits," Information Systems Frontiers, Springer, vol. 23(6), pages 1609-1620, December.
    4. Hausken, Kjell, 2024. "Fifty Years of Operations Research in Defense," European Journal of Operational Research, Elsevier, vol. 318(2), pages 355-368.
    5. Kjell Hausken & Fei He, 2016. "On the Effectiveness of Security Countermeasures for Critical Infrastructures," Risk Analysis, John Wiley & Sons, vol. 36(4), pages 711-726, April.
    6. Gregory Levitin & Kjell Hausken, 2010. "Resource Distribution in Multiple Attacks Against a Single Target," Risk Analysis, John Wiley & Sons, vol. 30(8), pages 1231-1239, August.
    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. Guizhou Wang & Jonathan W. Welburn & Kjell Hausken, 2020. "A Two-Period Game Theoretic Model of Zero-Day Attacks with Stockpiling," Games, MDPI, vol. 11(4), pages 1-26, December.
    9. Hausken, Kjell & Levitin, Gregory, 2009. "Protection vs. false targets in series systems," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 973-981.
    10. Gregory Levitin & Maxim Finkelstein, 2017. "A new stress–strength model for systems subject to stochastic shocks," Journal of Risk and Reliability, , vol. 231(2), pages 172-179, April.
    11. 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.
    12. Gregory Levitin & Liudong Xing & Hong‐Zhong Huang, 2019. "Security of Separated Data in Cloud Systems with Competing Attack Detection and Data Theft Processes," Risk Analysis, John Wiley & Sons, vol. 39(4), pages 846-858, April.
    13. Kjell Hausken, 2019. "A Game Theoretic Model of Adversaries and Media Manipulation," Games, MDPI, vol. 10(4), pages 1-15, December.
    14. Kjell Hausken, 2012. "Strategic defense and attack for series and parallel reliability systems: reply 1 to comment 1," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 525-531, October.

    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. Levitin, Gregory & Hausken, Kjell, 2008. "Protection vs. redundancy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1444-1451.
    2. Levitin, Gregory & Hausken, Kjell, 2010. "Separation in homogeneous systems with independent identical elements," European Journal of Operational Research, Elsevier, vol. 203(3), pages 625-634, June.
    3. Levitin, Gregory & Hausken, Kjell, 2009. "False targets efficiency in defense strategy," European Journal of Operational Research, Elsevier, vol. 194(1), pages 155-162, April.
    4. 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.
    5. Kjell Hausken & Vicki M. Bier & Jun Zhuang, 2009. "Defending Against Terrorism, Natural Disaster, and All Hazards," International Series in Operations Research & Management Science, in: Vicki M. M. Bier & M. Naceur Azaiez (ed.), Game Theoretic Risk Analysis of Security Threats, chapter 4, pages 65-97, Springer.
    6. Hausken, Kjell, 2008. "Strategic defense and attack for reliability systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1740-1750.
    7. Hausken, Kjell, 2017. "Defense and attack for interdependent systems," European Journal of Operational Research, Elsevier, vol. 256(2), pages 582-591.
    8. 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.
    9. Hausken, Kjell & Zhuang, Jun, 2013. "The impact of disaster on the strategic interaction between company and government," European Journal of Operational Research, Elsevier, vol. 225(2), pages 363-376.
    10. Kjell Hausken, 2012. "Game Theoretic Analysis of Standby Systems," Chapters, in: Yair Holtzman (ed.), Advanced Topics in Applied Operations Management, IntechOpen.
    11. Levitin, Gregory & Hausken, Kjell, 2009. "Intelligence and impact contests in systems with redundancy, false targets, and partial protection," Reliability Engineering and System Safety, Elsevier, vol. 94(12), pages 1927-1941.
    12. 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.
    13. Levitin, Gregory & Hausken, Kjell, 2009. "Parallel systems under two sequential attacks," Reliability Engineering and System Safety, Elsevier, vol. 94(3), pages 763-772.
    14. Levitin, Gregory & Hausken, Kjell, 2010. "Influence of attacker's target recognition ability on defense strategy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 95(5), pages 565-572.
    15. 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.
    16. Hausken, Kjell, 2024. "Fifty Years of Operations Research in Defense," European Journal of Operational Research, Elsevier, vol. 318(2), pages 355-368.
    17. Hausken, Kjell & Bier, Vicki M., 2011. "Defending against multiple different attackers," European Journal of Operational Research, Elsevier, vol. 211(2), pages 370-384, June.
    18. R Peng & G Levitin & M Xie & S H Ng, 2011. "Optimal defence of single object with imperfect false targets," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 134-141, January.
    19. Deck, Cary & Foster, Joshua & Song, Hongwei, 2015. "Defense against an opportunistic challenger: Theory and experiments," European Journal of Operational Research, Elsevier, vol. 242(2), pages 501-513.
    20. Daniel G. Arce & Dan Kovenock J. & Brian Roberson, 2009. "Suicide Terrorism and the Weakest Link," CESifo Working Paper Series 2753, CESifo.

    More about this item

    Statistics

    Access and download statistics

    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:wly:riskan:v:28:y:2008:i:5:p:1477-1486. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1111/(ISSN)1539-6924 .

    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.