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Optimal protection of general source–sink networks via evolutionary techniques

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  • Ramirez-Marquez, Jose E.
  • Rocco S, Claudio M.
  • Levitin, Gregory

Abstract

This paper presents a network optimization model that maximizes the survivability of a network for a specific source–sink flow when resources are allocated to protect network links under an evenly distributed attack strategy. The proposed model takes into account the stochastic behavior of link interdiction by assuming that the vulnerability of an attacked/defended link is determined via a ratio form of the attacker–defender contest success function. The research done as part of this manuscript extends previous network interdiction approaches through an optimization model that relates the defenders’/attackers’ per-link resources with link vulnerability values allowing for the defender to consider competing courses of action. Once the network vulnerability model is proposed, the manuscript describes an evolutionary algorithm that can provide optimal defense strategies in networks that follow a source–sink behavior. The results of the extensive experimentation done for different sized networks illustrate that when a defender is faced with an evenly distributed attack his/her defense strategy should take into account the configuration of the network, the source–sink flow and the importance of the different network elements.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:10:p:1676-1684
    DOI: 10.1016/j.ress.2009.05.002
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    References listed on IDEAS

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    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. Kelly J. Cormican & David P. Morton & R. Kevin Wood, 1998. "Stochastic Network Interdiction," Operations Research, INFORMS, vol. 46(2), pages 184-197, April.
    3. Ramirez-Marquez, José Emmanuel & Rocco, Claudio M., 2008. "All-terminal network reliability optimization via probabilistic solution discovery," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1689-1697.
    4. Rocco S, Claudio M. & Ramirez-Marquez, José Emmanuel, 2009. "Deterministic network interdiction optimization via an evolutionary approach," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 568-576.
    5. Kjell Hausken, 2011. "Protecting complex infrastructures against multiple strategic attackers," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 11-29.
    6. Cook, Jason L. & Ramirez-Marquez, Jose Emmanuel, 2009. "Optimal design of cluster-based ad-hoc networks using probabilistic solution discovery," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 218-228.
    7. Hausken, Kjell & Levitin, Gregory, 2009. "Protection vs. false targets in series systems," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 973-981.
    8. Kjell Hausken, 2005. "Production and Conflict Models Versus Rent-Seeking Models," Public Choice, Springer, vol. 123(1), pages 59-93, April.
    9. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
    10. Ramirez-Marquez, José Emmanuel & Rocco S., Claudio M., 2009. "Stochastic network interdiction optimization via capacitated network reliability modeling and probabilistic solution discovery," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 913-921.
    11. Richard Wollmer, 1964. "Removing Arcs from a Network," Operations Research, INFORMS, vol. 12(6), pages 934-940, December.
    12. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    13. 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.
    14. Ramirez-Marquez, Jose Emmanuel, 2008. "Port-of-entry safety via the reliability optimization of container inspection strategy through an evolutionary approach," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1698-1709.
    15. Levitin, Gregory & Hausken, Kjell, 2009. "False targets vs. redundancy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 588-595.
    16. 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.
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    Citations

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    Cited by:

    1. Zhang, Chi & Ramirez-Marquez, José Emmanuel & Wang, Jianhui, 2015. "Critical infrastructure protection using secrecy – A discrete simultaneous game," European Journal of Operational Research, Elsevier, vol. 242(1), pages 212-221.
    2. Chi Zhang & Jose Ramirez-Marquez, 2013. "Protecting critical infrastructures against intentional attacks: a two-stage game with incomplete information," IISE Transactions, Taylor & Francis Journals, vol. 45(3), pages 244-258.
    3. 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.
    4. Wang, Shih-Hsu, 2016. "An analytical model for benchmarking the development of national infrastructure items against those in similar countries," International Journal of Critical Infrastructure Protection, Elsevier, vol. 13(C), pages 3-18.
    5. Zhu, Huaxing & Zhang, Chi, 2019. "Expanding a complex networked system for enhancing its reliability evaluated by a new efficient approach," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 205-220.
    6. 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.
    7. 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.
    8. Li, Qing & Li, Mingchu & Gong, Zhongqiang & Tian, Yuan & Zhang, Runfa, 2022. "Locating and protecting interdependent facilities to hedge against multiple non-cooperative limited choice attackers," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    9. 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.
    10. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2012. "Multi-objective optimization for stochastic computer networks using NSGA-II and TOPSIS," European Journal of Operational Research, Elsevier, vol. 218(3), pages 735-746.
    11. Liberatore, Federico & Scaparra, Maria P. & Daskin, Mark S., 2012. "Hedging against disruptions with ripple effects in location analysis," Omega, Elsevier, vol. 40(1), pages 21-30, January.
    12. 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.
    13. 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.
    14. 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.
    15. Lin, Yi-Kuei & Yeh, Cheng-Ta, 2012. "Determining the optimal double-component assignment for a stochastic computer network," Omega, Elsevier, vol. 40(1), pages 120-130, January.
    16. Yaghlane, Asma Ben & Azaiez, M. Naceur & Mrad, Mehdi, 2019. "System survivability in the context of interdiction networks," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 362-371.
    17. 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.
    18. Guikema, Seth D. & Aven, Terje, 2010. "Assessing risk from intelligent attacks: A perspective on approaches," Reliability Engineering and System Safety, Elsevier, vol. 95(5), pages 478-483.

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