An integer programming formulation of the key management problem in wireless sensor networks

Optimization Letters volume 14, pages1037–1051(2020)Cite this article

Abstract

With the advent of modern communications systems, much attention has been put on developing methods for securely transferring information between constituents of wireless sensor networks. To this effect, we introduce a mathematical programming formulation for the key management problem, which broadly serves as a mechanism for encrypting communications. In particular, an integer programming model of the q-Composite scheme is proposed and utilized to distribute keys among nodes of a network whose topology is known. Numerical experiments demonstrating the effectiveness of the proposed model are conducted using using a well-known optimization solver package. An illustrative example depicting an optimal encryption for a small-scale network is also presented.

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Notes

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    Note that Gurobi may produce a nonzero optimality gap even if the incumbent solution is optimal. In such cases, additional time is required to validate that the incumbent solution is optimal.

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Author information

Affiliations

  1. Department of Systems Engineering and Engineering Management, University of North Carolina at Charlotte, Charlotte, NC, USA

    Guanglin Xu

  2. Faculty of Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Alexander Semenov

  3. Department of Information Systems and Analytics, Miami University, Oxford, OH, USA

    Maciej Rysz

Authors
  1. Guanglin Xu
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  2. Alexander Semenov
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  3. Maciej Rysz
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Correspondence to Maciej Rysz.

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Xu, G., Semenov, A. & Rysz, M. An integer programming formulation of the key management problem in wireless sensor networks. Optim Lett 14, 1037–1051 (2020). https://doi.org/10.1007/s11590-019-01465-2

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Keywords

  • Key management
  • Wireless sensor networks
  • q-Composite method
  • Integer linear programming
  • Optimization