IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v131y2014icp185-196.html
   My bibliography  Save this article

Extra-capacity versus protection for supply networks under attack

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832014001598
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ress.2014.07.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    6. S. Rajagopalan & Andreas C. Soteriou, 1994. "Capacity Acquisition and Disposal with Discrete Facility Sizes," Management Science, INFORMS, vol. 40(7), pages 903-917, 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. 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.
    10. 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.
    11. Levitin, Gregory & Hausken, Kjell, 2008. "Protection vs. redundancy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1444-1451.
    12. 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.
    13. Kjell Hausken, 2011. "Protecting complex infrastructures against multiple strategic attackers," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 11-29.
    14. Kjell Hausken, 2005. "Production and Conflict Models Versus Rent-Seeking Models," Public Choice, Springer, vol. 123(1), pages 59-93, April.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Mo, Huadong & Xie, Min & Levitin, Gregory, 2015. "Optimal resource distribution between protection and redundancy considering the time and uncertainties of attacks," European Journal of Operational Research, Elsevier, vol. 243(1), pages 200-210.
    4. Kjell Hausken, 2012. "Game Theoretic Analysis of Standby Systems," Chapters, in: Yair Holtzman (ed.), Advanced Topics in Applied Operations Management, IntechOpen.
    5. Levitin, Gregory & Hausken, Kjell, 2009. "Intelligence and impact contests in systems with redundancy, false targets, and partial protection," Reliability Engineering and System Safety, Elsevier, vol. 94(12), pages 1927-1941.
    6. Kjell Hausken & Jun Zhuang, 2011. "Governments' and Terrorists' Defense and Attack in a T -Period Game," Decision Analysis, INFORMS, vol. 8(1), pages 46-70, March.
    7. Qingqing Zhai & Rui Peng & Jun Zhuang, 2020. "Defender–Attacker Games with Asymmetric Player Utilities," Risk Analysis, John Wiley & Sons, vol. 40(2), pages 408-420, February.
    8. 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.
    9. R Peng & G Levitin & M Xie & S H Ng, 2011. "Optimal defence of single object with imperfect false targets," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 134-141, January.
    10. 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.
    11. Kjell Hausken, 2019. "Special versus general protection and attack of two assets," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(4), pages 53-93.
    12. Peng, R. & Levitin, G. & Xie, M. & Ng, S.H., 2010. "Defending simple series and parallel systems with imperfect false targets," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 679-688.
    13. Levitin, Gregory & Hausken, Kjell, 2010. "Influence of attacker's target recognition ability on defense strategy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 95(5), pages 565-572.
    14. Levitin, Gregory & Hausken, Kjell, 2013. "Is it wise to leave some false targets unprotected?," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 176-186.
    15. Talarico, Luca & Reniers, Genserik & Sörensen, Kenneth & Springael, Johan, 2015. "MISTRAL: A game-theoretical model to allocate security measures in a multi-modal chemical transportation network with adaptive adversaries," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 105-114.
    16. 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.
    17. 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.
    18. Martínez-Costa, Carme & Mas-Machuca, Marta & Benedito, Ernest & Corominas, Albert, 2014. "A review of mathematical programming models for strategic capacity planning in manufacturing," International Journal of Production Economics, Elsevier, vol. 153(C), pages 66-85.
    19. Hausken, Kjell, 2010. "Defense and attack of complex and dependent systems," Reliability Engineering and System Safety, Elsevier, vol. 95(1), pages 29-42.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:131:y:2014:i:c:p:185-196. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.