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Separation in homogeneous systems with independent identical elements

Listed author(s):
  • Levitin, Gregory
  • Hausken, Kjell

The paper considers strategic defense and attack of a system which can be separated into independent identical homogeneous parallel elements. The defender distributes its resource between separation of the elements and their protection from outside attacks. The attacker distributes its effort evenly among all attacked elements. The vulnerability of each element is determined by a contest success function between the attacker and the defender. The defender can choose a subset of the elements to defend. The attacker does not know which elements are protected and can choose a number of randomly chosen elements to attack. Separation efficiency conditions are formulated dependent on the defender's and attacker's budgets, separation costs, contest intensity, and system demand. An algorithm for determining the optimal number of protected elements is suggested for the case when both the defender and the attacker can choose the number of protected and attacked elements freely. The article considers both the cases without and with performance redundancy. Illustrative numerical examples are presented.

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File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(09)00558-X
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Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 203 (2010)
Issue (Month): 3 (June)
Pages: 625-634

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Handle: RePEc:eee:ejores:v:203:y:2010:i:3:p:625-634
Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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  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, 08.
  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. Kunreuther, Howard & Heal, Geoffrey, 2003. "Interdependent Security," Journal of Risk and Uncertainty, Springer, vol. 26(2-3), pages 231-249, March-May.
  5. 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.
  6. 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.
  7. Kjell Hausken, 2005. "Production and Conflict Models Versus Rent-Seeking Models," Public Choice, Springer, vol. 123(1), pages 59-93, April.
  8. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
  9. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
  10. 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.
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