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Deterministic network interdiction optimization via an evolutionary approach

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  • Rocco S, Claudio M.
  • Ramirez-Marquez, José Emmanuel

Abstract

This paper introduces an evolutionary optimization approach that can be readily applied to solve deterministic network interdiction problems. The network interdiction problem solved considers the minimization of the maximum flow that can be transmitted between a source node and a sink node for a fixed network design when there is a limited amount of resources available to interdict network links. Furthermore, the model assumes that the nominal capacity of each network link and the cost associated with their interdiction can change from link to link. For this problem, the solution approach developed is based on three steps that use: (1) Monte Carlo simulation, to generate potential network interdiction strategies, (2) Ford–Fulkerson algorithm for maximum s–t flow, to analyze strategies’ maximum source-sink flow and, (3) an evolutionary optimization technique to define, in probabilistic terms, how likely a link is to appear in the final interdiction strategy. Examples for different sizes of networks and network behavior are used throughout the paper to illustrate the approach. In terms of computational effort, the results illustrate that solutions are obtained from a significantly restricted solution search space. Finally, the authors discuss the need for a reliability perspective to network interdiction, so that solutions developed address more realistic scenarios of such problem.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:2:p:568-576
    DOI: 10.1016/j.ress.2008.06.008
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    References listed on IDEAS

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    1. Cook, Jason L. & Ramirez-Marquez, Jose Emmanuel, 2008. "Reliability analysis of cluster-based ad-hoc networks," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1512-1522.
    2. Anandalingam, G. & Apprey, Victor, 1991. "Multi-level programming and conflict resolution," European Journal of Operational Research, Elsevier, vol. 51(2), pages 233-247, March.
    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. Cook, Jason L. & Ramirez-Marquez, Jose Emmanuel, 2007. "Two-terminal reliability analyses for a mobile ad hoc wireless network," Reliability Engineering and System Safety, Elsevier, vol. 92(6), pages 821-829.
    5. Richard Wollmer, 1964. "Removing Arcs from a Network," Operations Research, INFORMS, vol. 12(6), pages 934-940, December.
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    Citations

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    Cited by:

    1. 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.
    2. Wang, Jingbei & Yang, Naiding & Zhang, Yanlu & Song, Yue, 2018. "Development of the mitigation strategy against the schedule risks of the R&D project through controlling the cascading failure of the R&D network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 390-401.
    3. Rocco S., Claudio M. & Emmanuel Ramirez-Marquez, José, 2013. "Identification of top contributors to system vulnerability via an ordinal optimization based method," Reliability Engineering and System Safety, Elsevier, vol. 114(C), pages 92-98.
    4. Gloria Pumpuni‐Lenss & Timothy Blackburn & Andreas Garstenauer, 2017. "Resilience in Complex Systems: An Agent‐Based Approach," Systems Engineering, John Wiley & Sons, vol. 20(2), pages 158-172, March.
    5. Zio, E. & Golea, L.R. & Sansavini, G., 2012. "Optimizing protections against cascades in network systems: A modified binary differential evolution algorithm," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 72-83.
    6. Zhang, Xiaoge & Mahadevan, Sankaran & Sankararaman, Shankar & Goebel, Kai, 2018. "Resilience-based network design under uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 364-379.
    7. 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.
    8. A Carrigy & J E Ramirez-Marquez & C M Rocco, 2010. "Multistate stochastic network interdiction via reliability modelling and evolutionary optimization," Journal of Risk and Reliability, , vol. 224(1), pages 27-42, March.
    9. Li, Y.F. & Sansavini, G. & Zio, E., 2013. "Non-dominated sorting binary differential evolution for the multi-objective optimization of cascading failures protection in complex networks," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 195-205.
    10. Shi, Yan & Behrensdorf, Jasper & Zhou, Jiayan & Hu, Yue & Broggi, Matteo & Beer, Michael, 2024. "Network reliability analysis through survival signature and machine learning techniques," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    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. 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.
    13. Rocco S., Claudio M. & Emmanuel Ramirez-Marquez, José & Salazar A., Daniel E., 2010. "Bi and tri-objective optimization in the deterministic network interdiction problem," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 887-896.

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