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The wireless network jamming problem

Author

Listed:
  • Clayton W. Commander

    (University of Florida)

  • Panos M. Pardalos

    (University of Florida)

  • Valeriy Ryabchenko

    (University of Florida)

  • Stan Uryasev

    (University of Florida)

  • Grigoriy Zrazhevsky

    (University of Florida)

Abstract

In adversarial environments, disabling the communication capabilities of the enemy is a high priority. We introduce the problem of determining the optimal number and locations for a set of jamming devices in order to neutralize a wireless communication network. This problem is known as the wireless network jamming problem. We develop several mathematical programming formulations based on covering the communication nodes and limiting the connectivity index of the nodes. Two case studies are presented comparing the formulations with the addition of various percentile constraints. Finally, directions of further research are addressed.

Suggested Citation

  • Clayton W. Commander & Panos M. Pardalos & Valeriy Ryabchenko & Stan Uryasev & Grigoriy Zrazhevsky, 2007. "The wireless network jamming problem," Journal of Combinatorial Optimization, Springer, vol. 14(4), pages 481-498, November.
    • Handle: RePEc:spr:jcomop:v:14:y:2007:i:4:d:10.1007_s10878-007-9071-7
    DOI: 10.1007/s10878-007-9071-7
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    References listed on IDEAS

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    1. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
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    Cited by:

    1. Massimiliano Amarante, 2016. "A representation of risk measures," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(1), pages 95-103, April.
    2. Joe Naoum-Sawaya & Christoph Buchheim, 2016. "Robust Critical Node Selection by Benders Decomposition," INFORMS Journal on Computing, INFORMS, vol. 28(1), pages 162-174, February.
    3. Hosseinali Salemi & Austin Buchanan, 2022. "Solving the Distance-Based Critical Node Problem," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1309-1326, May.
    4. Vadlamani, Satish & Eksioglu, Burak & Medal, Hugh & Nandi, Apurba, 2016. "Jamming attacks on wireless networks: A taxonomic survey," International Journal of Production Economics, Elsevier, vol. 172(C), pages 76-94.
    5. Gokhan Karakose & Ronald G. McGarvey, 2019. "Optimal Detection of Critical Nodes: Improvements to Model Structure and Performance," Networks and Spatial Economics, Springer, vol. 19(1), pages 1-26, March.

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