IDEAS home Printed from https://ideas.repec.org/a/wly/navlog/v17y1970i3p261-268.html
   My bibliography  Save this article

Optimal interdiction of a supply network

Author

Listed:
  • Alan W. McMasters
  • Thomas M. Mustin

Abstract

Under certain conditions, the re‐supply capability of a combatant force may be limited by the characteristics of the transportation network over which supplies must flow. Interdiction by an opposing force may be used to reduce the capacity of that network. The effects of such efforts vary for differing missions and targets. With only a limited total budget available, the interdictor must decide which targets to hit, and with how much effort. An algorithm is presented for determining the optimum interdiction plan for minimizing network flow capacity when the minimum capacity on an arc is positive and the cost of interdiction is a linear function of arc capacity reduction.

Suggested Citation

  • Alan W. McMasters & Thomas M. Mustin, 1970. "Optimal interdiction of a supply network," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 17(3), pages 261-268, September.
    • Handle: RePEc:wly:navlog:v:17:y:1970:i:3:p:261-268
    DOI: 10.1002/nav.3800170302
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800170302
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800170302?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
    ---><---

    Citations

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


    Cited by:

    1. Matthew Johnson & Alexander Gutfraind & Kiyan Ahmadizadeh, 2014. "Evader interdiction: algorithms, complexity and collateral damage," Annals of Operations Research, Springer, vol. 222(1), pages 341-359, November.
    2. Zhang, Jing & Zhuang, Jun & Behlendorf, Brandon, 2018. "Stochastic shortest path network interdiction with a case study of Arizona–Mexico border," Reliability Engineering and System Safety, Elsevier, vol. 179(C), pages 62-73.
    3. Jabarzare, Ziba & Zolfagharinia, Hossein & Najafi, Mehdi, 2020. "Dynamic interdiction networks with applications in illicit supply chains," Omega, Elsevier, vol. 96(C).
    4. Smith, J. Cole & Song, Yongjia, 2020. "A survey of network interdiction models and algorithms," European Journal of Operational Research, Elsevier, vol. 283(3), pages 797-811.
    5. Bloch, Francis & Chatterjee, Kalyan & Dutta, Bhaskar, 2023. "Attack and interception in networks," Theoretical Economics, Econometric Society, vol. 18(4), November.
    6. Abumoslem Mohammadi & Javad Tayyebi, 2019. "Maximum Capacity Path Interdiction Problem with Fixed Costs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(04), pages 1-21, August.
    7. Yan, Xihong & Ren, Xiaorong & Nie, Xiaofeng, 2022. "A budget allocation model for domestic airport network protection," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
    8. David L. Alderson & Gerald G. Brown & W. Matthew Carlyle & R. Kevin Wood, 2018. "Assessing and Improving the Operational Resilience of a Large Highway Infrastructure System to Worst-Case Losses," Transportation Science, INFORMS, vol. 52(4), pages 1012-1034, August.
    9. Ting L. Lei, 2019. "Evaluating the Vulnerability of Time-Sensitive Transportation Networks: A Hub Center Interdiction Problem," Sustainability, MDPI, vol. 11(17), pages 1-13, August.
    10. Noam Goldberg, 2017. "Non‐zero‐sum nonlinear network path interdiction with an application to inspection in terror networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(2), pages 139-153, March.
    11. 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.
    12. Claudio Contardo & Jorge A. Sefair, 2022. "A Progressive Approximation Approach for the Exact Solution of Sparse Large-Scale Binary Interdiction Games," INFORMS Journal on Computing, INFORMS, vol. 34(2), pages 890-908, March.
    13. Yates, Justin & Sanjeevi, Sujeevraja, 2013. "A length-based, multiple-resource formulation for shortest path network interdiction problems in the transportation sector," International Journal of Critical Infrastructure Protection, Elsevier, vol. 6(2), pages 107-119.
    14. Ghorbani-Renani, Nafiseh & González, Andrés D. & Barker, Kash & Morshedlou, Nazanin, 2020. "Protection-interdiction-restoration: Tri-level optimization for enhancing interdependent network resilience," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    15. Tayyebi, Javad & Mitra, Ankan & Sefair, Jorge A., 2023. "The continuous maximum capacity path interdiction problem," European Journal of Operational Research, Elsevier, vol. 305(1), pages 38-52.
    16. Kosanoglu, Fuat & Bier, Vicki M., 2020. "Target-oriented utility for interdiction of transportation networks," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    17. Tony H. Grubesic & Timothy C. Matisziw & Alan T. Murray & Diane Snediker, 2008. "Comparative Approaches for Assessing Network Vulnerability," International Regional Science Review, , vol. 31(1), pages 88-112, January.
    18. Casorrán, Carlos & Fortz, Bernard & Labbé, Martine & Ordóñez, Fernando, 2019. "A study of general and security Stackelberg game formulations," European Journal of Operational Research, Elsevier, vol. 278(3), pages 855-868.

    More about this item

    Statistics

    Access and download statistics

    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:wly:navlog:v:17:y:1970:i:3:p:261-268. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1931-9193 .

    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.