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Extra-capacity versus protection for supply networks under attack

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  • Bricha, Naji
  • Nourelfath, Mustapha

Abstract

This article develops a game-theoretical model to deal with the protection of facilities, in the context of the capacitated fixed-charge location and capacity acquisition problem. A set of investment alternatives is available for direct protection of facilities. Furthermore, extra-capacity of neighbouring functional facilities can be used after attacks to avoid the backlog of demands and backorders. The proposed model considers a non-cooperative two-period game between the players, and an algorithm is presented to determine the equilibrium solution and the optimal defender strategy under capacity constraints. A method is developed to evaluate the utilities of the defender and the attacker. The benefit of the proposed approach is illustrated using a numerical example. The defence strategy of our model is compared to other strategies, and the obtained results clearly indicate the superiority of our model in finding the best trade-off between direct protection investment and extra-capacity deployment.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:reensy:v:131:y:2014:i:c:p:185-196
    DOI: 10.1016/j.ress.2014.07.004
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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. 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.
    3. Patterson, S.A. & Apostolakis, G.E., 2007. "Identification of critical locations across multiple infrastructures for terrorist actions," Reliability Engineering and System Safety, Elsevier, vol. 92(9), pages 1183-1203.
    4. A Dasci & G Laporte, 2005. "An analytical approach to the facility location and capacity acquisition problem under demand uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 397-405, April.
    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. Verter, Vedat & Cemal Dincer, M., 1992. "An integrated evaluation of facility location, capacity acquisition, and technology selection for designing global manufacturing strategies," European Journal of Operational Research, Elsevier, vol. 60(1), pages 1-18, July.
    7. Alexander Shulman, 1991. "An Algorithm for Solving Dynamic Capacitated Plant Location Problems with Discrete Expansion Sizes," Operations Research, INFORMS, vol. 39(3), pages 423-436, June.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Kjell Hausken, 2005. "Production and Conflict Models Versus Rent-Seeking Models," Public Choice, Springer, vol. 123(1), pages 59-93, April.
    13. Chan, Felix T.S. & Wang, Zheng & Zhang, Jie, 2007. "A two-level hedging point policy for controlling a manufacturing system with time-delay, demand uncertainty and extra capacity," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1528-1558, February.
    14. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    15. Shanling Li & Devanath Tirupati, 1994. "Dynamic Capacity Expansion Problem with Multiple Products: Technology Selection and Timing of Capacity Additions," Operations Research, INFORMS, vol. 42(5), pages 958-976, October.
    16. S. Rajagopalan & Andreas C. Soteriou, 1994. "Capacity Acquisition and Disposal with Discrete Facility Sizes," Management Science, INFORMS, vol. 40(7), pages 903-917, July.
    17. Bricha, Naji & Nourelfath, Mustapha, 2013. "Critical supply network protection against intentional attacks: A game-theoretical model," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 1-10.
    18. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    19. 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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    Cited by:

    1. Yue, Xiongping & Mu, Dong & Wang, Chao & Ren, Huanyu & Peng, Rui & Du, Jianbang, 2024. "Critical risks in global supply networks: A static structure and dynamic propagation perspective," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    2. Jalali, Sajjad & Seifbarghy, Mehdi & Niaki, Seyed Taghi Akhavan, 2018. "A risk-averse location-protection problem under intentional facility disruptions: A modified hybrid decomposition algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 196-219.

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