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Modeling wireless sensor networks using random graph theory

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  • Ding, Li
  • Guan, Zhi-Hong

Abstract

A critical issue in wireless sensor networks (WSNs) is represented by limited availability of energy within network nodes. Therefore, making good use of energy is necessary in modeling sensor networks. In this paper we proposed a new model of WSNs on a two-dimensional plane using site percolation model, a kind of random graph in which edges are formed only between neighbouring nodes. Then we investigated WSNs connectivity and energy consumption at percolation threshold when a so-called phase transition phenomena happen. Furthermore, we proposed an algorithm to improve the model; as a result the lifetime of networks is prolonged. We analyzed the energy consumption with Markov process and applied these results to simulation.

Suggested Citation

  • Ding, Li & Guan, Zhi-Hong, 2008. "Modeling wireless sensor networks using random graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 3008-3016.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:12:p:3008-3016
    DOI: 10.1016/j.physa.2008.01.029
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    References listed on IDEAS

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    1. Chen, Yiping & Paul, Gerald & Cohen, Reuven & Havlin, Shlomo & Borgatti, Stephen P. & Liljeros, Fredrik & Eugene Stanley, H., 2007. "Percolation theory and fragmentation measures in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(1), pages 11-19.
    2. Vidales, A.M., 2000. "Difference percolation on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(3), pages 259-266.
    3. Makowiec, D. & Gnaciński, P. & Miklaszewski, W., 2004. "Amplified imitation in percolation model of stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 269-278.
    4. Moret, M.A. & Santana, M.C. & Nogueira, E. & Zebende, G.F., 2006. "Protein chain packing and percolation threshold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 250-254.
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    Cited by:

    1. Korsnes, Reinert, 2010. "Rapid self-organised initiation of ad hoc sensor networks close above the percolation threshold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2841-2848.

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