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Evaluating the damage associated with intentional supply deprivation in multi-commodity network

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  • Levitin, G.
  • Gertsbakh, I.
  • Shpungin, Y.

Abstract

This paper presents a method for evaluating an expected damage associated with nodes deprivation of supply of commodities in multi-commodity networks with a given topology as a result of intentional attack on randomly chosen network links. The method is based on a Monte Carlo simulation approach for evaluating the expected number of nodes deprived of all possible subsets of commodities. It also uses the contest success function that evaluates destruction probability of individual links as a function of per-link attack and defense efforts. It is assumed that the defender has no information about the attacker's actions and the attacker has no information about the network structure. The method allows the analysts to compare different solutions of expected damage reduction under conditions of uncertainty. Illustrative examples are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:119:y:2013:i:c:p:11-17
    DOI: 10.1016/j.ress.2013.05.002
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    References listed on IDEAS

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    1. 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.
    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.
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    5. Kjell Hausken, 2005. "Production and Conflict Models Versus Rent-Seeking Models," Public Choice, Springer, vol. 123(1), pages 59-93, April.
    6. 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.
    7. 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.
    8. Richard Wollmer, 1964. "Removing Arcs from a Network," Operations Research, INFORMS, vol. 12(6), pages 934-940, December.
    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. 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.
    11. Garg, Manish & Smith, J. Cole, 2008. "Models and algorithms for the design of survivable multicommodity flow networks with general failure scenarios," Omega, Elsevier, vol. 36(6), pages 1057-1071, December.
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    Cited by:

    1. Bricha, Naji & Nourelfath, Mustapha, 2014. "Extra-capacity versus protection for supply networks under attack," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 185-196.
    2. Hongyan Dui & Yuheng Yang & Yun-an Zhang & Yawen Zhu, 2022. "Recovery Analysis and Maintenance Priority of Metro Networks Based on Importance Measure," Mathematics, MDPI, vol. 10(21), pages 1-20, October.
    3. Lin, Shuai & Jia, Limin & Zhang, Hengrun & Zhang, Pengzhu, 2022. "Reliability of high-speed electric multiple units in terms of the expanded multi-state flow network," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    4. Yeh, Wei-Chang, 2022. "Novel direct algorithm for computing simultaneous all-level reliability of multistate flow networks," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    5. Bricha, Naji & Nourelfath, Mustapha, 2015. "Protection of warehouses and plants under capacity constraint," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 93-104.
    6. Khodakaram Salimifard & Sara Bigharaz, 2022. "The multicommodity network flow problem: state of the art classification, applications, and solution methods," Operational Research, Springer, vol. 22(1), pages 1-47, March.

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