IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v226y2013i2p286-292.html
   My bibliography  Save this article

Revisiting a game theoretic framework for the robust railway network design against intentional attacks

Author

Listed:
  • Perea, Federico
  • Puerto, Justo

Abstract

This paper discusses and extends some competitive aspects of the games proposed in an earlier work, where a robust railway network design problem was proposed as a non-cooperative zero-sum game in normal form between a designer/operator and an attacker. Due to the importance of the order of play and the information available to the players at the moment of their decisions, we here extend those previous models by proposing a formulation of this situation as a dynamic game. Besides, we propose a new mathematical programming model that optimizes both the network design and the allocation of security resources over the network. The paper also proposes a model to distribute security resources over an already existing railway network in order to minimize the negative effects of an intentional attack. For the sake of readability, all concepts are introduced with the help of an illustrative example.

Suggested Citation

  • Perea, Federico & Puerto, Justo, 2013. "Revisiting a game theoretic framework for the robust railway network design against intentional attacks," European Journal of Operational Research, Elsevier, vol. 226(2), pages 286-292.
    • Handle: RePEc:eee:ejores:v:226:y:2013:i:2:p:286-292
    DOI: 10.1016/j.ejor.2012.11.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712008399
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2012.11.015?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. 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.
    2. Scaparra, Maria P. & Church, Richard L., 2008. "An exact solution approach for the interdiction median problem with fortification," European Journal of Operational Research, Elsevier, vol. 189(1), pages 76-92, August.
    3. Golany, Boaz & Kaplan, Edward H. & Marmur, Abraham & Rothblum, Uriel G., 2009. "Nature plays with dice - terrorists do not: Allocating resources to counter strategic versus probabilistic risks," European Journal of Operational Research, Elsevier, vol. 192(1), pages 198-208, January.
    4. Paola Cappanera & Maria Paola Scaparra, 2011. "Optimal Allocation of Protective Resources in Shortest-Path Networks," Transportation Science, INFORMS, vol. 45(1), pages 64-80, February.
    5. Alper Atamtürk & Muhong Zhang, 2007. "Two-Stage Robust Network Flow and Design Under Demand Uncertainty," Operations Research, INFORMS, vol. 55(4), pages 662-673, August.
    6. Niyazi Bakır, 2011. "A Stackelberg game model for resource allocation in cargo container security," Annals of Operations Research, Springer, vol. 187(1), pages 5-22, July.
    7. Laporte, Gilbert & Mesa, Juan A. & Perea, Federico, 2010. "A game theoretic framework for the robust railway transit network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 447-459, May.
    8. Yaron Hollander & Joseph Prashker, 2006. "The applicability of non-cooperative game theory in transport analysis," Transportation, Springer, vol. 33(5), pages 481-496, September.
    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.
    2. Starita, Stefano & Scaparra, Maria Paola, 2016. "Optimizing dynamic investment decisions for railway systems protection," European Journal of Operational Research, Elsevier, vol. 248(2), pages 543-557.
    3. 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).
    4. Sreekumaran, Harikrishnan & Hota, Ashish R. & Liu, Andrew L. & Uhan, Nelson A. & Sundaram, Shreyas, 2021. "Equilibrium strategies for multiple interdictors on a common network," European Journal of Operational Research, Elsevier, vol. 288(2), pages 523-538.
    5. 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.
    6. 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.
    7. Jin, Jian Gang & Lu, Linjun & Sun, Lijun & Yin, Jingbo, 2015. "Optimal allocation of protective resources in urban rail transit networks against intentional attacks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 84(C), pages 73-87.

    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. Starita, Stefano & Scaparra, Maria Paola, 2016. "Optimizing dynamic investment decisions for railway systems protection," European Journal of Operational Research, Elsevier, vol. 248(2), pages 543-557.
    2. Musegaas, Marieke & Schlicher, Loe & Blok, Herman, 2022. "Stackelberg production-protection games: Defending crop production against intentional attacks," European Journal of Operational Research, Elsevier, vol. 297(1), pages 102-119.
    3. Parajuli, Anubhuti & Kuzgunkaya, Onur & Vidyarthi, Navneet, 2017. "Responsive contingency planning of capacitated supply networks under disruption risks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 102(C), pages 13-37.
    4. Mohammad Ebrahim Nikoofal & Morteza Pourakbar & Mehmet Gumus, 2023. "Securing containerized supply chain through public and private partnership," Production and Operations Management, Production and Operations Management Society, vol. 32(7), pages 2341-2361, July.
    5. David Simchi-Levi & Nikolaos Trichakis & Peter Yun Zhang, 2019. "Designing Response Supply Chain Against Bioattacks," Operations Research, INFORMS, vol. 67(5), pages 1246-1268, September.
    6. Losada, Chaya & Scaparra, M. Paola & O’Hanley, Jesse R., 2012. "Optimizing system resilience: A facility protection model with recovery time," European Journal of Operational Research, Elsevier, vol. 217(3), pages 519-530.
    7. Chaya Losada & M. Scaparra & Richard Church & Mark Daskin, 2012. "The stochastic interdiction median problem with disruption intensity levels," Annals of Operations Research, Springer, vol. 201(1), pages 345-365, December.
    8. Abhra Roy & Jomon Paul, 2013. "Terrorism deterrence in a two country framework: strategic interactions between R&D, defense and pre-emption," Annals of Operations Research, Springer, vol. 211(1), pages 399-432, December.
    9. Leitner, Markus & Ljubić, Ivana & Monaci, Michele & Sinnl, Markus & Tanınmış, Kübra, 2023. "An exact method for binary fortification games," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1026-1039.
    10. Wu, Yipeng & Chen, Zhilong & Gong, Huadong & Feng, Qilin & Chen, Yicun & Tang, Haizhou, 2021. "Defender–attacker–operator: Tri-level game-theoretic interdiction analysis of urban water distribution networks," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    11. Yael Deutsch & Boaz Golany, 2016. "Multiple agents finitely repeated inspection game with dismissals," Annals of Operations Research, Springer, vol. 237(1), pages 7-26, February.
    12. Jin, Jian Gang & Lu, Linjun & Sun, Lijun & Yin, Jingbo, 2015. "Optimal allocation of protective resources in urban rail transit networks against intentional attacks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 84(C), pages 73-87.
    13. Parajuli, Anubhuti & Kuzgunkaya, Onur & Vidyarthi, Navneet, 2021. "The impact of congestion on protection decisions in supply networks under disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    14. Yael Deutsch & Boaz Golany, 2016. "Multiple agents finitely repeated inspection game with dismissals," Annals of Operations Research, Springer, vol. 237(1), pages 7-26, February.
    15. Haphuriwat, N. & Bier, V.M., 2011. "Trade-offs between target hardening and overarching protection," European Journal of Operational Research, Elsevier, vol. 213(1), pages 320-328, August.
    16. Rosenthal, Edward C., 2017. "A cooperative game approach to cost allocation in a rapid-transit network," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 64-77.
    17. Luan, Jianlin & Polak, John & Krishnan, Rajesh, 2019. "The structure of public-private sector collaboration in travel information markets: A game theoretic analysis," Transportation Research Part A: Policy and Practice, Elsevier, vol. 129(C), pages 19-38.
    18. Ramamoorthy, Prasanna & Jayaswal, Sachin & Sinha, Ankur & Vidyarthi, Navneet, 2018. "Multiple allocation hub interdiction and protection problems: Model formulations and solution approaches," European Journal of Operational Research, Elsevier, vol. 270(1), pages 230-245.
    19. Mohammad E. Nikoofal & Mehmet Gümüs, 2015. "On the value of terrorist’s private information in a government’s defensive resource allocation problem," IISE Transactions, Taylor & Francis Journals, vol. 47(6), pages 533-555, June.
    20. Lebing Wang & Jian Gang Jin & Gleb Sibul & Yi Wei, 2023. "Designing Metro Network Expansion: Deterministic and Robust Optimization Models," Networks and Spatial Economics, Springer, vol. 23(1), pages 317-347, March.

    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:ejores:v:226:y:2013:i:2:p:286-292. 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: http://www.elsevier.com/locate/eor .

    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.